algebra-based physics courses: Topics by Science.gov

Sample records for algebra-based physics courses

Math remediation intervention for student success in the algebra-based introductory physics course

NASA Astrophysics Data System (ADS)

Forrest, Rebecca L.; Stokes, Donna W.; Burridge, Andrea B.; Voight, Carol D.

2017-12-01

Pretesting and early intervention measures to identify and remediate at-risk students were implemented in algebra-based introductory physics to help improve student success rates. Pretesting via a math and problem-solving diagnostic exam administered at the beginning of the course was employed to identify at-risk students based on their scores. At-risk students were encouraged to utilize an online math tutorial to increase their chances of passing the course. The tutorial covers the same math topics covered by the diagnostic exam. Results from 643 students enrolled in the course showed that the 61 at-risk students who successfully completed the math tutorial increased their odds of passing the course by roughly 4 times those of the at-risk students who did not. This intervention is easily implemented, short term, and can be administered concurrently with the course. Based on these results, the Department of Physics has implemented the math tutorials in all sections of the introductory algebra as well as the calculus-based physics courses.
Using a flipped classroom in an algebra-based physics course

NASA Astrophysics Data System (ADS)

Smith, Leigh

2013-03-01

The algebra-based physics course is taken by Biology students, Pre-Pharmacy, Pre-Medical, and other health related majors such as medical imaging, physical therapy, and so on. Nearly 500 students take the course each Semester. Student learning is adversely impacted by poor math backgrounds as well as extensive work schedules outside of the classroom. We have been researching the use of an intensive flipped-classroom approach where students spend one to two hours each week preparing for class by reading the book, completing a series of conceptual problems, and viewing videos which describe the material. In class, the new response system Learning Catalytics is used which allows much richer problems to be posed in class and includes sketching figures, numerical or symbolic entries, short answers, highlighting text, etc in addition to the standard multiple choice questions. We make direct comparison of student learning for 1200 sudents who have taken the same tests, 25% of which used the flipped classroom approach, and 75% who took a more standard lecture. There is significant evidence of improvements in student learning for students taking the flipped classroom approach over standard lectures. These benefits appear to impact students at all math backgrounds.
Correlates of gender and achievement in introductory algebra based physics

NASA Astrophysics Data System (ADS)

Smith, Rachel Clara

The field of physics is heavily male dominated in America. Thus, half of the population of our country is underrepresented and underserved. The identification of factors that contribute to gender disparity in physics is necessary for educators to address the individual needs of students, and, in particular, the separate and specific needs of female students. In an effort to determine if any correlations could be established or strengthened between sex, gender identity, social network, algebra skill, scientific reasoning ability, and/or student attitude, a study was performed on a group of 82 students in an introductory algebra based physics course. The subjects each filled out a survey at the beginning of the semester of their first semester of algebra based physics. They filled out another survey at the end of that same semester. These surveys included physics content pretests and posttests, as well as questions about the students' habits, attitudes, and social networks. Correlates of posttest score were identified, in order of significance, as pretest score, emphasis on conceptual learning, preference for male friends, number of siblings (negatively correlated), motivation in physics, algebra score, and parents' combined education level. Number of siblings was also found to negatively correlate with, in order of significance, gender identity, preference for male friends, emphasis on conceptual learning, and motivation in physics. Preference for male friends was found to correlate with, in order of significance, emphasis on conceptual learning, gender identity, and algebra score. Also, gender identity was found to correlate with emphasis on conceptual learning, the strongest predictor of posttest score other than pretest score.
Methods to Improve Performance of Students with Weaker Math Skills in an Algebra-based Physics Course

NASA Astrophysics Data System (ADS)

Smith, Leigh

2015-03-01

I will describe methods used at the University of Cincinnati to enhance student success in an algebra-based physics course. The first method is to use ALEKS, an adaptive online mathematics tutorial engine, before the term begins. Approximately three to four weeks before the beginning of the term, the professor in the course emails all of the students in the course informing them of the possibility of improving their math proficiency by using ALEKS. Using only a minimal reward on homework, we have achieved a 70% response rate with students spending an average of 8 hours working on their math skills before classes start. The second method is to use a flipped classroom approach. The class of 135 meets in a tiered classroom twice per week for two hours. Over the previous weekend students spend approximately 2 hours reading the book, taking short multiple choice conceptual quizzes, and viewing videos covering the material. In class, students use Learning Catalytics to work through homework problems in groups, guided by the instructor and one learning assistant. Using these interventions, we have reduced the student DWF rate (the fraction of students receiving a D or lower in the class) from an historical average of 35 to 40% to less than 20%.
Nontraditional approach to algebra-based general physics

NASA Astrophysics Data System (ADS)

Meltzer, David E.

1997-03-01

In order to improve the degree of conceptual learning in our algebra-based general physics course, the second semester (of a two-semester sequence) has been taught in a nontraditional format during the past year. The key characteristics of this course were: 1) Intense and continuous use of interactive-engagement methods and cooperative learning; 2) coverage of less than half of the conventional number of topics, 3) heavy emphasis on qualitative questions as opposed to quantitative problems, 4) adjustment of the pacing of the course based on continuous (twice per week) formative assessment. The students enrolled in the course were relatively poorly prepared, with weak mathematical skills. Open-book quizzes stressing qualitative concepts in electricity and magnetism were given twice per week; most were given in "group quiz" format, allowing collaboration. Exams (also open-book) were all done individually. Most of the class time was taken up by quizzes, and by interactive discussion and group work related to quiz questions. New topics were not introduced until a majority of the class demonstrated competence in the topic under discussion. Despite lengthy and intensive focus on qualitative, conceptual questions and simple quantitative problems, only a small minority of the class ultimately demonstrated mastery of the targeted concepts. Frequent testing and re-testing of the students on basic concepts disclosed tenacious persistence of misconceptions.
A Modeling-Based College Algebra Course and Its Effect on Student Achievement

ERIC Educational Resources Information Center

Ellington, Aimee J.

2005-01-01

In Fall 2004, Virginia Commonwealth University (VCU) piloted a modeling-based approach to college algebra. This paper describes the course and an assessment that was conducted to determine the effect of this approach on student achievement in comparison to a traditional approach to college algebra. The results show that compared with their…
Promoting Quantitative Literacy in an Online College Algebra Course

ERIC Educational Resources Information Center

Tunstall, Luke; Bossé, Michael J.

2016-01-01

College algebra (a university freshman level algebra course) fulfills the quantitative literacy requirement of many college's general education programs and is a terminal course for most who take it. An online problem-based learning environment provides a unique means of engaging students in quantitative discussions and research. This article…
The effects of an integrated Algebra 1/physical science curriculum on student achievement in Algebra 1, proportional reasoning and graphing abilities

NASA Astrophysics Data System (ADS)

Lawrence, Lettie Carol

1997-08-01

The purpose of this investigation was to determine if an integrated curriculum in algebra 1/physical science facilitates acquisition of proportional reasoning and graphing abilities better than a non-integrated, traditional, algebra 1 curriculum. Also, this study was to ascertain if the integrated algebra 1/physical science curriculum resulted in greater student achievement in algebra 1. The curriculum used in the experimental class was SAM 9 (Science and Mathematics 9), an investigation-based curriculum that was written to integrate physical science and basic algebra content. The experiment was conducted over one school year. The subjects in the study were 61 ninth grade students. The experimental group consisted of one class taught concurrently by a mathematics teacher and a physical science teacher. The control group consisted of three classes of algebra 1 students taught by one mathematics teacher and taking physical science with other teachers in the school who were not participating in the SAM 9 program. This study utilized a quasi-experimental non-randomized control group pretest-posttest design. The investigator obtained end-of-algebra 1 scores from student records. The written open-ended graphing instruments and the proportional reasoning instrument were administered to both groups as pretests and posttests. The graphing instruments were also administered as a midtest. A two sample t-test for independent means was used to determine significant differences in achievement on the end-of-course algebra 1 test. Quantitative data from the proportional reasoning and graphing instruments were analyzed using a repeated measures analysis of variance to determine differences in scores over time for the experimental and control groups. The findings indicate no significant difference between the experimental and control groups on the end-of-course algebra 1 test. Results also indicate no significant differences in proportional reasoning and graphing abilities between
Exploring student learning profiles in algebra-based studio physics: A person-centered approach

NASA Astrophysics Data System (ADS)

Pond, Jarrad W. T.; Chini, Jacquelyn J.

2017-06-01

In this study, we explore the strategic self-regulatory and motivational characteristics of students in studio-mode physics courses at three universities with varying student populations and varying levels of success in their studio-mode courses. We survey students using questions compiled from several existing questionnaires designed to measure students' study strategies, attitudes toward and motivations for learning physics, organization of scientific knowledge, experiences outside the classroom, and demographics. Using a person-centered approach, we utilize cluster analysis methods to group students into learning profiles based on their individual responses to better understand the strategies and motives of algebra-based studio physics students. Previous studies have identified five distinct learning profiles across several student populations using similar methods. We present results from first-semester and second-semester studio-mode introductory physics courses across three universities. We identify these five distinct learning profiles found in previous studies to be present within our population of introductory physics students. In addition, we investigate interactions between these learning profiles and student demographics. We find significant interactions between a student's learning profile and their experience with high school physics, major, gender, grade expectation, and institution. Ultimately, we aim to use this method of analysis to take the characteristics of students into account in the investigation of successful strategies for using studio methods of physics instruction within and across institutions.
Linking Science Fiction and Physics Courses

NASA Astrophysics Data System (ADS)

McBride, Krista K.

2016-05-01

Generally, cohorts or learning communities enrich higher learning in students. Learning communities consist of conventionally separate groups of students that meet together with common academic purposes and goals. Types of learning communities include paired courses with concurrent student enrollment, living-learning communities, and faculty learning communities. This article discusses a learning community of 21 students that I created with a colleague in the English department. The community encompasses two general education courses: an algebra-based physics course entitled "Intro to Physics" and a literature course entitled "Science Fiction, Science Fact." Students must enroll in both of these courses during the same semester. Additionally, I highlight advantages to linking these courses through surveying the assignments and course materials that we used in our learning community. Figure 1 shows the topics that are covered in both physics and literature courses.
A Modified Approach to Team-Based Learning in Linear Algebra Courses

ERIC Educational Resources Information Center

Nanes, Kalman M.

2014-01-01

This paper documents the author's adaptation of team-based learning (TBL), an active learning pedagogy developed by Larry Michaelsen and others, in the linear algebra classroom. The paper discusses the standard components of TBL and the necessary changes to those components for the needs of the course in question. There is also an empirically…
An Inquiry-Based Linear Algebra Class

ERIC Educational Resources Information Center

Wang, Haohao; Posey, Lisa

2011-01-01

Linear algebra is a standard undergraduate mathematics course. This paper presents an overview of the design and implementation of an inquiry-based teaching material for the linear algebra course which emphasizes discovery learning, analytical thinking and individual creativity. The inquiry-based teaching material is designed to fit the needs of a…
Comparison of the Effectiveness of a Traditional Intermediate Algebra Course With That of a Less Rigorous Intermediate Algebra Course in Preparing Students for Success in a Subsequent Mathematics Course

ERIC Educational Resources Information Center

Sworder, Steven C.

2007-01-01

An experimental two-track intermediate algebra course was offered at Saddleback College, Mission Viejo, CA, between the Fall, 2002 and Fall, 2005 semesters. One track was modeled after the existing traditional California community college intermediate algebra course and the other track was a less rigorous intermediate algebra course in which the…
Predicting course performance in freshman and sophomore physics courses: Women are more predictable than men

NASA Astrophysics Data System (ADS)

McCammon, Susan; Golden, Jeannie; Wuensch, Karl L.

This study investigated the extent to which thinking skills and mathematical competency would predict the course performance of freshman and sophomore science majors enrolled in physics courses. Multiple-regression equations revealed that algebra and critical thinking skills were the best overall predictors across several physics courses. Although arithmetic skills, math anxiety, and primary mental abilities scores also correlated with performance, they were redundant with the algebra and critical thinking. The most surprising finding of the study was the differential validity by sex; predictor variables were successful in predicting course performance for women but not for men.
Developing CORE model-based worksheet with recitation task to facilitate students’ mathematical communication skills in linear algebra course

NASA Astrophysics Data System (ADS)

Risnawati; Khairinnisa, S.; Darwis, A. H.

2018-01-01

The purpose of this study was to develop a CORE model-based worksheet with recitation task that were valid and practical and could facilitate students’ communication skills in Linear Algebra course. This study was conducted in mathematics education department of one public university in Riau, Indonesia. Participants of the study were media and subject matter experts as validators as well as students from mathematics education department. The objects of this study are students’ worksheet and students’ mathematical communication skills. The results of study showed that: (1) based on validation of the experts, the developed students’ worksheet was valid and could be applied for students in Linear Algebra courses; (2) based on the group trial, the practicality percentage was 92.14% in small group and 90.19% in large group, so the worksheet was very practical and could attract students to learn; and (3) based on the post test, the average percentage of ideals was 87.83%. In addition, the results showed that the students’ worksheet was able to facilitate students’ mathematical communication skills in linear algebra course.
Assessing the Effectiveness of Studio Physics in Introductory-Level Courses at Georgia State University

NASA Astrophysics Data System (ADS)

Upton, Brianna; Evans, John; Morrow, Cherilynn; Thoms, Brian

2009-11-01

Previous studies have shown that many students have misconceptions about basic concepts in physics. Moreover, it has been concluded that one of the challenges lies in the teaching methodology. To address this, Georgia State University has begun teaching studio algebra-based physics. Although many institutions have implemented studio physics, most have done so in calculus-based sequences. The effectiveness of the studio approach in an algebra-based introductory physics course needs further investigation. A 3-semester study assessing the effectiveness of studio physics in an algebra-based physics sequence has been performed. This study compares the results of student pre- and post-tests using the Force Concept Inventory. Using the results from this assessment tool, we will discuss the effectiveness of the studio approach to teaching physics at GSU.
Comparing the Attitudes of Pre-Health Professional and Engineering Students in Introductory Physics Courses

NASA Astrophysics Data System (ADS)

McKinney, Meghan

2015-04-01

This talk will discuss using the Colorado Learning Attitudes about Science Survey (CLASS) to compare student attitudes towards the study of physics of two different groups. Northern Illinois University has two levels of introductory mechanics courses, one geared towards biology majors and pre-health professionals, and one for engineering and physics majors. The course for pre-health professionals is an algebra based course, while the course for engineering and physics majors is a calculus based course. We've adapted the CLASS into a twenty question survey that measures student attitudes towards the practice of and conceptions about physics. The survey is administered as a pre and post assessment to look at student attitudes before and after their first course in physics.
A Statistical Analysis of Activity-Based and Traditional Introductory Algebra Physics Using the Force and Motion Conceptual Evaluation

NASA Astrophysics Data System (ADS)

Trecia Markes, Cecelia

2006-03-01

With a three-year FIPSE grant, it has been possible at the University of Nebraska at Kearney (UNK) to develop and implement activity- based introductory physics at the algebra level. It has generally been recognized that students enter physics classes with misconceptions about motion and force. Many of these misconceptions persist after instruction. Pretest and posttest responses on the ``Force and Motion Conceptual Evaluation'' (FMCE) are analyzed to determine the effectiveness of the activity- based method of instruction relative to the traditional (lecture/lab) method of instruction. Data were analyzed to determine the following: student understanding at the beginning of the course, student understanding at the end of the course, how student understanding is related to the type of class taken, student understanding based on gender and type of class. Some of the tests used are the t-test, the chi-squared test, and analysis of variance. The results of these tests will be presented, and their implications will be discussed.
Do evidence-based active-engagement courses reduce the gender gap in introductory physics?

NASA Astrophysics Data System (ADS)

Karim, Nafis I.; Maries, Alexandru; Singh, Chandralekha

2018-03-01

Prior research suggests that using evidence-based pedagogies can not only improve learning for all students, it can also reduce the gender gap. We describe the impact of physics education research-based pedagogical techniques in flipped and active-engagement non-flipped courses on the gender gap observed with validated conceptual surveys. We compare male and female students’ performance in courses which make significant use of evidence-based active-engagement (EBAE) strategies with courses that primarily use lecture-based (LB) instruction. All courses had large enrolment and often had more than 100 students. The analysis of data for validated conceptual surveys presented here includes data from two-semester sequences of algebra-based and calculus-based introductory physics courses. The conceptual surveys used to assess student learning in the first and second semester courses were the force concept inventory and the conceptual survey of electricity and magnetism, respectively. In the research discussed here, the performance of male and female students in EBAE courses at a particular level is compared with LB courses in two situations: (I) the same instructor taught two courses, one of which was an EBAE course and the other an LB course, while the homework, recitations and final exams were kept the same; (II) student performance in all of the EBAE courses taught by different instructors was averaged and compared with LB courses of the same type also averaged over different instructors. In all cases, on conceptual surveys we find that students in courses which make significant use of active-engagement strategies, on average, outperformed students in courses of the same type using primarily lecture-based instruction even though there was no statistically significant difference on the pre-test before instruction. However, the gender gap persisted even in courses using EBAE methods. We also discuss correlations between the performance of male and female students on
Paper 3: Content and Rigor of Algebra Credit Recovery Courses

ERIC Educational Resources Information Center

Walters, Kirk; Stachel, Suzanne

2014-01-01

This paper describes the content, organization and rigor of the f2f and online summer algebra courses that were delivered in summers 2011 and 2012. Examining the content of both types of courses is important because research suggests that algebra courses with certain features may be better than others in promoting success for struggling students.…

Putting the spark into physical science and algebra

NASA Astrophysics Data System (ADS)

Pill, Bruce; Dagenais, Andre

2007-06-01

The presenters will describe a number of laboratory activities developed in collaboration with the Department of Electrical Engineering at the University of Delaware as part of their outreach program to help make math and science more authentic on the pre-college level. Lessons relating to electrical topics are often abstract and appropriate only for advanced students in math and science. We have devised lessons that rely on simple equipment. They promote skills that are included in National and State Standards. They emphasize the connections between math and science; they are appropriate for an algebra course, a physical science course, a PhysicsFirst course or a traditional physics course. Students benefit from seeing that what they learn in math and science courses can lead to cutting-edge work in areas such as passive wave imaging, photonics, wireless communication and high performance computing. The collaboration has been meaningful because it has motivated us to tailor our lessons to reflect what is happening in the research lab of our local university. Written materials for use in teacher training workshops will also be available.
Towards Student Instrumentation of Computer-Based Algebra Systems in University Courses

ERIC Educational Resources Information Center

Stewart, Sepideh; Thomas, Michael O. J.; Hannah, John

2005-01-01

There are many perceived benefits of using technology, such as computer algebra systems, in undergraduate mathematics courses. However, attaining these benefits sometimes proves elusive. Some of the key variables are the teaching approach and the student instrumentation of the technology. This paper considers the instrumentation of computer-based…
Predicting Course Performance in Freshman and Sophomore Physics Courses: Women Are More Predictable than Men.

ERIC Educational Resources Information Center

McCammon, Susan; And Others

1988-01-01

Investigates the extent to which thinking skills and mathematical competency would predict the course performance of freshman and sophomore science majors enrolled in physics courses. Finds that algebra ability and critical thinking skills were the best predictors. (Author/YP)
Physics Based University Courses

ERIC Educational Resources Information Center

Beeby, J. L.

1974-01-01

Two physics courses which serve as alternatives to general college courses in physics are outlined: physics with astrophysics and physics with electronics. Details are given of the structure of the courses and third year options are specified. (DT)
Using Biomedically Relevant Multimedia Content in an Introductory Physics Course for Life Science and Pre-Health Students

ERIC Educational Resources Information Center

Mylott, Elliot; Kutschera, Ellynne; Dunlap, Justin C.; Christensen, Warren; Widenhorn, Ralf

2016-01-01

We will describe a one-quarter pilot algebra-based introductory physics course for pre-health and life science majors. The course features videos with biomedical experts and cogent biomedically inspired physics content. The materials were used in a flipped classroom as well as an all-online environment where students interacted with multimedia…
Rapid Conversion of Traditional Introductory Physics Sequences to an Activity-Based Format

ERIC Educational Resources Information Center

Yoder, Garett; Cook, Jerry

2014-01-01

The Department of Physics at EKU [Eastern Kentucky University] with support from the National Science Foundations Course Curriculum and Laboratory Improvement Program has successfully converted our entire introductory physics sequence, both algebra-based and calculus-based courses, to an activity-based format where laboratory activities,…
A Concurrent Support Course for Intermediate Algebra

ERIC Educational Resources Information Center

Cooper, Cameron I.

2011-01-01

This article summarizes the creation and implementation of a concurrent support class for TRS 92--Intermediate Algebra, a developmental mathematics course at Fort Lewis College in Durango, Colorado. The concurrent course outlined in this article demonstrates a statistically significant increase in student success rates since its inception.…
Eighth Grade Algebra Course Placement and Student Motivation for Mathematics

PubMed Central

Simzar, Rahila M.; Domina, Thurston; Tran, Cathy

2016-01-01

This study uses student panel data to examine the association between Algebra placement and student motivation for mathematics. Changes in achievement goals, expectancy, and task value for students in eighth grade Algebra are compared with those of peers placed in lower-level mathematics courses (N = 3,306). In our sample, students placed in Algebra reported an increase in performance-avoidance goals as well as decreases in academic self-efficacy and task value. These relations were attenuated for students who had high mathematics achievement prior to Algebra placement. Whereas all students reported an overall decline in performance-approach goals over the course of eighth grade, previously high-achieving students reported an increase in these goals. Lastly, previously high-achieving students reported an increase in mastery goals. These findings suggest that while previously high-achieving students may benefit motivationally from eighth grade Algebra placement, placing previously average- and low-performing students in Algebra can potentially undermine their motivation for mathematics. PMID:26942210
Eighth Grade Algebra Course Placement and Student Motivation for Mathematics.

PubMed

Simzar, Rahila M; Domina, Thurston; Tran, Cathy

2016-01-01

This study uses student panel data to examine the association between Algebra placement and student motivation for mathematics. Changes in achievement goals, expectancy, and task value for students in eighth grade Algebra are compared with those of peers placed in lower-level mathematics courses (N = 3,306). In our sample, students placed in Algebra reported an increase in performance-avoidance goals as well as decreases in academic self-efficacy and task value. These relations were attenuated for students who had high mathematics achievement prior to Algebra placement. Whereas all students reported an overall decline in performance-approach goals over the course of eighth grade, previously high-achieving students reported an increase in these goals. Lastly, previously high-achieving students reported an increase in mastery goals. These findings suggest that while previously high-achieving students may benefit motivationally from eighth grade Algebra placement, placing previously average- and low-performing students in Algebra can potentially undermine their motivation for mathematics.
A calculus based on a q-deformed Heisenberg algebra

DOE PAGES

Cerchiai, B. L.; Hinterding, R.; Madore, J.; ...

1999-04-27

We show how one can construct a differential calculus over an algebra where position variables $x$ and momentum variables p have be defined. As the simplest example we consider the one-dimensional q-deformed Heisenberg algebra. This algebra has a subalgebra generated by cursive Greek chi and its inverse which we call the coordinate algebra. A physical field is considered to be an element of the completion of this algebra. We can construct a derivative which leaves invariant the coordinate algebra and so takes physical fields into physical fields. A generalized Leibniz rule for this algebra can be found. Based on thismore » derivative differential forms and an exterior differential calculus can be constructed.« less
The Linear Algebra Curriculum Study Group Recommendations for the First Course in Linear Algebra.

ERIC Educational Resources Information Center

Carlson, David; And Others

1993-01-01

Presents five recommendations of the Linear Algebra Curriculum Study Group: (1) The syllabus must respond to the client disciplines; (2) The first course should be matrix oriented; (3) Faculty should consider the needs and interests of students; (4) Faculty should use technology; and (5) At least one follow-up course should be required. Provides a…
Putting the “Spark” into Physical Science and Algebra

NASA Astrophysics Data System (ADS)

Dagenais, Andre; Pill, B.

2006-12-01

The presenters will describe a number of laboratory activities developed in collaboration with the Department of Electrical Engineering at the University of Delaware as part of their outreach program to help make math and science more authentic on the pre-college level. Lessons relating to electrical topics are often abstract and appropriate only for advanced students in math and science. We have devised lessons that rely on simple equipment. They promote skills that are included in National and State Standards. They emphasize the connections between math and science; they are appropriate for an algebra course, a physical science course, a PhysicsFirst course or a traditional physics course. Students benefit from seeing that what they learn in math and science courses can lead to cutting-edge work in areas such as passive wave imaging, photonics, wireless communication and high performance computing. The collaboration has been meaningful because it has motivated us to tailor our lessons to reflect what is happening in the research lab of our local university. Written materials for use in teacher training workshops will also be available. Funded by NSF Research Experience for Teachers(RET #0322633) program under the direction of Dr. Dennis Prather, University of Delaware Electrical Engineering
A Lab-Based, Lecture-Free General Physics Course

NASA Astrophysics Data System (ADS)

Schneider, Mark B.

1997-04-01

The past four years have seen the development of a discovery style, lecture-free, lab-based General Physics course at Grinnell College. Similar in spirit to Priscilla Laws' Workshop Physics (P. Laws, Physics Today, Dec. 1991, p. 24.), this course is a calculus- based, two-semester sequence, which is offered in parallel with more conventional lecture sections, allowing students choice of pedagogical styles. This new course is taught without a text, allowing a somewhat atypical ordering of topics and the early inclusion of a modern introduction to quantum and statistical mechanics. A complete set of laboratory materials was developed at Grinnell for this course, with activities considerably different in most cases than Laws' activities. A quick overview of the pedagogical style and topics covered will be given, and then several specific activities will be described in greater detail. The course has been shown to be a popular and viable alternative to the more conventional sections for majors and non-majors; ongoing efforts to assess the course will be described, especially those that make comparisons between this course and more conventional sections.
Advanced Mathematics Online: Assessing Particularities in the Online Delivery of a Second Linear Algebra Course

ERIC Educational Resources Information Center

Montiel, Mariana; Bhatti, Uzma

2010-01-01

This article presents an overview of some issues that were confronted when delivering an online second Linear Algebra course (assuming a previous Introductory Linear Algebra course) to graduate students enrolled in a Secondary Mathematics Education program. The focus is on performance in one particular aspect of the course: "change of basis" and…
The Impact of an Elementary Algebra Course on Success in a College-Level Liberal Arts Math Course and Persistence in College

ERIC Educational Resources Information Center

Austin, Lori Ann

2017-01-01

Many students enter community college underprepared for college-level math and are placed into developmental elementary algebra without consideration if the algebra will provide a foundation for their needed college-level math course. Large percentages of those students are unable to succeed in the developmental course and, therefore, are unable…
Undergraduate Students' Perceptions of an Inquiry-Based Physics Course

NASA Astrophysics Data System (ADS)

Ballone Duran, Lena; McArthur, Julia; van Hook, Stephen

2004-04-01

The purpose of this study was to examine middle childhood students'' perceptions of the learning environment in a reform-based physics course. A lecture-style, introductory physics course was modified into an inquiry-based course designed for preservice middle childhood teachers through the collaborative efforts of faculty in the Colleges of Education and Arts and Sciences. Focus group interviews were conducted to examine students'' perceptions. The results suggested that the students initially felt a level of frustration with a new constructivist experience; however, they were able to embrace the inquiry method and expressed a desire for additional specialized content courses for preservice teachers.
Course Placement Series: Spotlight on Eighth Grade Algebra I. Policy Brief

ERIC Educational Resources Information Center

Tennessee Department of Education, 2015

2015-01-01

The Tennessee Department of Education explored course enrollment patterns in an effort to better understand in which courses students are enrolling and whether course enrollment policies and procedures are promoting students' interests. This report focuses on eighth grade Algebra I enrollment, which can propel students to take more rigorous math…
Student satisfaction in interactive engagement-based physics classes

NASA Astrophysics Data System (ADS)

Gaffney, Jon D. H.; Gaffney, Amy L. Housley

2016-12-01

Interactive engagement-based (IE) physics classes have the potential to invigorate and motivate students, but students may resist or oppose the pedagogy. Understanding the major influences on student satisfaction is a key to successful implementation of such courses. In this study, we note that one of the major differences between IE and traditional physics classes lies in the interpersonal relationships between the instructor and students. Therefore, we introduce the interpersonal communication constructs of instructor credibility and facework as possible frameworks for understanding how instructors and students navigate the new space of interactions. By interpreting survey data (N =161 respondents in eight sections of an IE introductory algebra-based physics course), we found both frameworks to be useful in explaining variance in student ratings of their satisfaction in the course, although we are unable to distinguish at this point whether instructor credibility acts as a mediating variable between facework and course satisfaction.
Using Biomedically Relevant Multimedia Content in an Introductory Physics Course for Life Science and Pre-health Students

NASA Astrophysics Data System (ADS)

Mylott, Elliot; Kutschera, Ellynne; Dunlap, Justin C.; Christensen, Warren; Widenhorn, Ralf

2016-04-01

We will describe a one-quarter pilot algebra-based introductory physics course for pre-health and life science majors. The course features videos with biomedical experts and cogent biomedically inspired physics content. The materials were used in a flipped classroom as well as an all-online environment where students interacted with multimedia materials online and prior to engaging in classroom activities. Pre-lecture questions on both the medical content covered in the video media and the physics concepts in the written material were designed to engage students and probe their understanding of physics. The course featured group discussion and peer-lead instruction. Following in-class instruction, students engaged with homework assignments which explore the connections of physics and the medical field in a quantitative manner. Course surveys showed a positive response by the vast majority of students. Students largely indicated that the course helped them to make a connection between physics and the biomedical field. The biomedical focus and different course format were seen as an improvement to previous traditional physics instruction.
Care and Feeding of a Paperless, Calculus-based Physics Course

NASA Astrophysics Data System (ADS)

Moore, Christopher; Fuller, Robert; Plano-Clark, Vicki L.; Dunbar, Steven R.

1997-04-01

Technology is playing an increasing role in our lives at home, at work, and in the classroom. We have begun a calculus-based introductory physics course to integrate mathematics and multimedia with the traditional physics content. This course relies on the use of technology to teach physics. We formulated the following rule for the conduct of the course: ''No paper is transferred between instructional staff and students that contains course information or assignments for grading.'' Implementing and maintaining this physics course within the context of the instructor goals will be discussed. Preliminary results of feedback from the students and an evaluation team will be presented.

Gender-based performance differences in an introductory physics course

NASA Astrophysics Data System (ADS)

McKinnon, Mark Lee

Cognitive research has indicated that the difference between males and females is negligible. Paradoxically, in traditionally-taught college level introductory physics courses, males have outperformed females. UC Davis' Physics 7A (the first class of a three-quarter Introduction to Physics sequence for Life-Science students), however, counters this trend since females perform similarly to males. The gender-based performance difference within the other two quarters (Physics 7B & 7C) of the radically restructured, active-learning physics sequence still echo the traditionally-taught courses. In one experiment, I modified the laboratory activity instructions of the Physics 7C course to encourage further group interaction. These modifications did not affect the gender-based performance difference. In a later experiment, I compared students' performance on different forms of assessment for certain physics concepts during the Physics 7C course. Over 500 students took weekly quizzes at different times. The students were given different quiz questions on the same topics. Several quiz questions seemed to favor males while others were more gender equitable. I highlighted comparisons between a few pairs of questions that assessed students' understanding of the same physical concept. Males tended to perform better in responding to questions that seemed to require spatial visualization. Questions that required greater understanding of the physical concept or scientific model were more gender neutral.
Web-Based Instruction in Physics Courses

NASA Astrophysics Data System (ADS)

Wijekumar, V.

1998-05-01

The World Wide Web will be utilized to deliver instructional materials in physics courses in two cases. In one case, a set of physics courses will be entirely taught using WWW for high school science and mathematics teachers in the physics certification program. In the other case, the WWW will be used to enhance the linkage between the laboratory courses in medical physics, human physiology and clinical nursing courses for nursing students. This project links three departments in two colleges to enhance a project known as Integrated Computer System across the Health Science Curriculum. Partial support for this work was provided by the National Science Foundation's Division od Undergraduate Education through grant DUE # 9650793.
Transversality of Electromagnetic Waves in the Calculus--Based Introductory Physics Course

NASA Astrophysics Data System (ADS)

Burko, Lior M.

2009-05-01

Introductory calculus--based physics textbooks state that electromagnetic waves are transverse and list many of their properties, but most such textbooks do not bring forth arguments why this is so. Both physical and theoretical arguments are at a level appropriate for students of courses based on such books, and could be readily used by instructors of such courses. Here, we discuss two physical arguments (based on polarization experiments and on lack of monopole electromagnetic radiation), and the full argument for the transversality of (plane) electromagnetic waves based on the integral Maxwell equations. We also show, at a level appropriate for the introductory course, why the electric and magnetic fields in a wave are in phase and the relation of their magnitudes. We have successfully integrated this approach in the calculus--based introductory physics course at the University of Alabama in Huntsville.
The Effect of Using Concept Maps in Elementary Linear Algebra Course on Students’ Learning

NASA Astrophysics Data System (ADS)

Syarifuddin, H.

2018-04-01

This paper presents the results of a classroom action research that was done in Elementary Linear Algebra course at Universitas Negeri Padang. The focus of the research want to see the effect of using concept maps in the course on students’ learning. Data in this study were collected through classroom observation, students’ reflective journal and concept maps that were created by students. The result of the study was the using of concept maps in Elementary Linera Algebra course gave positive effect on students’ learning.
Comparing the Impact of Traditional and Modeling College Algebra Courses on Student Performance in Survey of Calculus

ERIC Educational Resources Information Center

West, Jerry G.

2013-01-01

Students in higher education deserve opportunities to succeed and learning environments which maximize success. Mathematics courses can create a barrier for success for some students. College algebra is a course that serves as a gateway to required courses in many bachelor's degree programs. The content in college algebra should serve to…
Mobile Learning: Integrating Text Messaging into a Community College Pre-Algebra Course

ERIC Educational Resources Information Center

Bull, Prince; McCormick, Carlos

2012-01-01

This study investigated the use of text messaging as an educational tool in a pre-algebra course at a community college in the central region of North Carolina. The research was conducted in two pre-algebra classes with thirty-three students and one instructor. Data were gathered using qualitative and quantitative methods. A mixed method design…
Reducing "Math Anxiety" in College Algebra Courses Including Comparisons with Elementary Statistics Courses.

ERIC Educational Resources Information Center

Bankhead, Mike

The high levels of anxiety, apprehension, and apathy of students in college algebra courses caused the instructor to create and test a variety of math teaching techniques designed to boost student confidence and enthusiasm in the subject. Overall, this proposal covers several different techniques, which have been evaluated by both students and the…
Undergraduate Mathematics Students' Emotional Experiences in Linear Algebra Courses

ERIC Educational Resources Information Center

Martínez-Sierra, Gustavo; García-González, María del Socorro

2016-01-01

Little is known about students' emotions in the field of Mathematics Education that go beyond students' emotions in problem solving. To start filling this gap this qualitative research has the aim to identify emotional experiences of undergraduate mathematics students in Linear Algebra courses. In order to obtain data, retrospective focus group…
An Analysis of Higher-Order Thinking on Algebra I End-of-Course Tests

ERIC Educational Resources Information Center

Thompson, Tony

2011-01-01

This research provides insight into one US state's effort to incorporate higher-order thinking on its Algebra I End-of-Course tests. To facilitate the inclusion of higher-order thinking, the state used "Dimensions of Thinking" (Marzano et al., 1988) and "Bloom's Taxonomy" (Bloom et al., 1956). An analysis of Algebra I test…
Deriving the Work Done by an Inverse Square Force in Non-Calculus-Based Introductory Physics Courses

ERIC Educational Resources Information Center

Hu, Ben Yu-Kuang

2012-01-01

I describe a method of evaluating the integral of 1/r[superscript 2] with respect to r that uses only algebra and the concept of area underneath a curve, and which does not formally employ any calculus. This is useful for algebra-based introductory physics classes (where the use of calculus is forbidden) to derive the work done by the force of one…
Transversality of electromagnetic waves in the calculus-based introductory physics course

NASA Astrophysics Data System (ADS)

Burko, Lior M.

2008-11-01

Introductory calculus-based physics textbooks state that electromagnetic waves are transverse and list many of their properties, but most such textbooks do not bring forth arguments why this is so. Both physical and theoretical arguments are at a level appropriate for students of courses based on such books, and could be readily used by instructors of such courses. Here, we discuss two physical arguments (based on polarization experiments and on lack of monopole electromagnetic radiation) and the full argument for the transversality of (plane) electromagnetic waves based on the integral Maxwell equations. We also show, at a level appropriate for the introductory course, why the electric and magnetic fields in a wave are in phase and the relation of their magnitudes.
Algebra and topology for applications to physics

NASA Technical Reports Server (NTRS)

Rozhkov, S. S.

1987-01-01

The principal concepts of algebra and topology are examined with emphasis on applications to physics. In particular, attention is given to sets and mapping; topological spaces and continuous mapping; manifolds; and topological groups and Lie groups. The discussion also covers the tangential spaces of the differential manifolds, including Lie algebras, vector fields, and differential forms, properties of differential forms, mapping of tangential spaces, and integration of differential forms.
Enumerating Small Sudoku Puzzles in a First Abstract Algebra Course

ERIC Educational Resources Information Center

Lorch, Crystal; Lorch, John

2008-01-01

Two methods are presented for counting small "essentially different" sudoku puzzles using elementary group theory: one method (due to Jarvis and Russell) uses Burnside's counting formula, while the other employs an invariant property of sudoku puzzles. Ideas are included for incorporating this material into an introductory abstract algebra course.…
Professional Development Graduate Courses and a Masters of Arts in Physics Education with Web Based Course Components

NASA Astrophysics Data System (ADS)

Lindgren, Richard; Thornton, Stephen

2010-02-01

Professional development courses offered in physical/Earth science and physics by the Department of Physics are delivered by different venues to accommodate the needs of the K-12 teaching community. The majority of teachers take our courses off-site or through our distance-learning web-based program on the Internet for endorsement or recertification, but with a gradually increasing number enrolling in our 30 credit Masters of Arts in Physics Education degree (MAPE) program. The purpose of the Masters program is to provide increased physics content to those teachers who feel inadequately prepared to teach high school physics. The increase in numbers and success of this program is partly due to the convenience of taking online web-based courses which is made possible by using the latest communication technologies on the high speed internet. There is also a residential component of the MAPE program, which requires the candidates to earn 14 credits of calculus-based core physics in residence in the summer at the University. We have graduated a total of 91 teachers since the program began in 2000. )
Transforming an Introductory Linear Algebra Course with a TI-92 Hand-Held Computer.

ERIC Educational Resources Information Center

Quesada, Antonio R.

2003-01-01

Describes how the introduction of the TI-92 transformed a traditional first semester linear algebra course into a matrix-oriented course that emphasized conceptual understanding, relevant applications, and numerical issues. Indicates an increase in students' overall performance as they found the calculator very useful, believed it helped them…
Modifying ``Six Ideas that Shaped Physics'' for a Life-Science major audience at Hope College

NASA Astrophysics Data System (ADS)

Mader, Catherine

2005-04-01

The ``Six Ideas That Shaped Physics'' textbook has been adapted and used for use in the algebra-based introductory physics course for non-physics science majors at Hope College. The results of the first use will be presented. Comparison of FCI for pre and post test scores will be compared with results from 8 years of results from both the algebra-based course and the calculus-based course (when we first adopted ``Six Ideas that Shaped Physcs" for the Calculus-based course). In addition, comparison on quantitative tests and homework problems with prior student groups will also be made. Because a large fraction of the audience in the algebra-based course is life-science majors, a goal of this project is to make the material relevant for these students. Supplemental materials that emphasize the connection between the life sciences and the fundamental physics concepts are being be developed to accompany the new textbook. Samples of these materials and how they were used (and received) during class testing will be presented.
Investigating elementary education and physical therapy majors' perceptions of an inquiry-based physics content course

NASA Astrophysics Data System (ADS)

Hilton, John Martin

This study investigates why physical therapy assistant majors engage and perform better than elementary education majors in an inquiry-based conceptual physics course at Mid-Atlantic Community College. The students from each major are demographically similar, both courses are similar in depth and structure, and each course supports the students' program. However, there is an observed difference in the levels of engagement with the curriculum and performance on writing-based assessments between the two groups. To explore possible explanations for the difference, I examine students' affinity for science, their beliefs about the nature of science and scientific knowledge in the classroom, and their perception of the usefulness of science to their program. During semi-structured interviews, students from both majors displayed nearly identical weak affinities for science, epistemological beliefs, and uncertainty about the usefulness of the class. However, the physical therapy majors' ability to see the relevance of the physics course experience to their program enhanced their interest and motivation. In contrast, the elementary education students do not see connections between the course and their program, and do not see a purpose for their learning of physics content. To improve the program, I propose a two-pronged approach - designing a faded-scaffolded-inquiry approach for both classes, and developing a field-based/seminar class for the elementary education majors. The scaffolded inquiry will help both groups develop better orientations toward lab activities, and the structured observations and reflection will help the elementary group connect the material to their program.
Algebras Generated by Geometric Scalar Forms and their Applications in Physics and Social Sciences

DOE Office of Scientific and Technical Information (OSTI.GOV)

Keller, Jaime

2008-09-17

The present paper analyzes the consequences of defining that the geometric scalar form is not necessarily quadratic, but in general K-atic, that is obtained from the K{sup th} power of the linear form, requiring {l_brace}e{sub i};i = 1,...,N;(e{sub i}){sup K} = 1{r_brace} and d-vector {sigma}{sub i}x{sub i}e{sub i}. We consider the algebras which are thus generated, for positive integer K, a generalization of the geometric algebras we know under the names of Clifford or Grassmann algebras. We then obtain a set of geometric K-algebras. We also consider the generalization of special functions of geometry which corresponds to the K-order scalarmore » forms (as trigonometric functions and other related geometric functions which are based on the use of quadratic forms). We present an overview of the use of quadratic forms in physics as in our general theory, we have called START. And, in order to give an introduction to the use of the more general K-algebras and to the possible application to sciences other than physics, the application to social sciences is considered.For the applications to physics we show that quadratic spaces are a fundamental clue to understand the structure of theoretical physics (see, for example, Keller in ICNAAM 2005 and 2006)« less
An Example of Competence-Based Learning: Use of Maxima in Linear Algebra for Engineers

ERIC Educational Resources Information Center

Diaz, Ana; Garcia, Alfonsa; de la Villa, Agustin

2011-01-01

This paper analyses the role of Computer Algebra Systems (CAS) in a model of learning based on competences. The proposal is an e-learning model Linear Algebra course for Engineering, which includes the use of a CAS (Maxima) and focuses on problem solving. A reference model has been taken from the Spanish Open University. The proper use of CAS is…
A project-based course about outreach in a physics curriculum

NASA Astrophysics Data System (ADS)

Bobroff, Julien; Bouquet, Frédéric

2016-07-01

We describe an undergraduate course where physics students are asked to conceive an outreach project of their own. This project-based-learning course alternates between the project conception and teaching activities about outreach. It ends in a public show. Students decide the topic and format on their own. An analysis of the students’ productions over three years shows that all physics fields were equally covered, and various formats were used (experimental devices, animation or fiction movies, games, live events, photography). Some typical examples are described. We also analyse the benefits of this approach from the students’ perspective, through a survey done over three classes. Students showed an overall very good assessment of the course (average of 4.5(0.6) on an appreciation scale from 1 to 5) and recognised having developed outreach skills but also project-management and group-work know-how. They acknowledged this course to be a unique opportunity to share with an audience their interest in physics compared to other courses. They further mentioned that it served as an intermission in a classical academic curriculum. They also point out some challenges, especially the time-consuming issue. This survey together with the practical description of the course implementation should help other universities develop similar courses.

Derive Workshop Matrix Algebra and Linear Algebra.

ERIC Educational Resources Information Center

Townsley Kulich, Lisa; Victor, Barbara

This document presents the course content for a workshop that integrates the use of the computer algebra system Derive with topics in matrix and linear algebra. The first section is a guide to using Derive that provides information on how to write algebraic expressions, make graphs, save files, edit, define functions, differentiate expressions,…
Earth Algebra.

ERIC Educational Resources Information Center

Schaufele, Christopher; Zumoff, Nancy

Earth Algebra is an entry level college algebra course that incorporates the spirit of the National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards for School Mathematics at the college level. The context of the course places mathematics at the center of one of the major current concerns of the world. Through…
Student learning and perceptions in a flipped linear algebra course

NASA Astrophysics Data System (ADS)

Love, Betty; Hodge, Angie; Grandgenett, Neal; Swift, Andrew W.

2014-04-01

The traditional lecture style of teaching has long been the norm in college science, technology, engineering, and mathematics (STEM) courses, but an innovative teaching model, facilitated by recent advances in technology, is gaining popularity across college campuses. This new model inverts or 'flips' the usual classroom paradigm, in that students learn initial course concepts outside of the classroom, while class time is reserved for more active problem-based learning and practice activities. While the flipped classroom model shows promise for improving STEM learning and increasing student interest in STEM fields, discussions to date of the model and its impact are more anecdotal than data driven - very little research has been undertaken to rigorously assess the potential effects on student learning that can result from the flipped classroom environment. This study involved 55 students in 2 sections of an applied linear algebra course, using the traditional lecture format in one section and the flipped classroom model in another. In the latter, students were expected to prepare for the class in some way, such as watching screencasts prepared by the instructor, or reading the textbook or the instructor's notes. Student content understanding and course perceptions were examined. Content understanding was measured by the performance on course exams, and students in the flipped classroom environment had a more significant increase between the sequential exams compared to the students in the traditional lecture section, while performing similarly in the final exam. Course perceptions were represented by an end-of-semester survey that indicated that the flipped classroom students were very positive about their experience in the course, and particularly appreciated the student collaboration and instructional video components.
Special issue on cluster algebras in mathematical physics

NASA Astrophysics Data System (ADS)

Di Francesco, Philippe; Gekhtman, Michael; Kuniba, Atsuo; Yamazaki, Masahito

2014-02-01

This is a call for contributions to a special issue of Journal of Physics A: Mathematical and Theoretical dedicated to cluster algebras in mathematical physics. Over the ten years since their introduction by Fomin and Zelevinsky, the theory of cluster algebras has witnessed a spectacular growth, first and foremost due to the many links that have been discovered with a wide range of subjects in mathematics and, increasingly, theoretical and mathematical physics. The main motivation of this special issue is to gather together reviews, recent developments and open problems, mainly from a mathematical physics viewpoint, into a single comprehensive issue. We expect that such a special issue will become a valuable reference for the broad scientific community working in mathematical and theoretical physics. The issue will consist of invited review articles and contributed papers containing new results on the interplays of cluster algebras with mathematical physics. Editorial policy The Guest Editors for this issue are Philippe Di Francesco, Michael Gekhtman, Atsuo Kuniba and Masahito Yamazaki. The areas and topics for this issue include, but are not limited to: discrete integrable systems arising from cluster mutations cluster structure on Poisson varieties cluster algebras and soliton interactions cluster positivity conjecture Y-systems in the thermodynamic Bethe ansatz and Zamolodchikov's periodicity conjecture T-system of transfer matrices of integrable lattice models dilogarithm identities in conformal field theory wall crossing in 4d N = 2 supersymmetric gauge theories 4d N = 1 quiver gauge theories described by networks scattering amplitudes of 4d N = 4 theories 3d N = 2 gauge theories described by flat connections on 3-manifolds integrability of dimer/Ising models on graphs. All contributions will be refereed and processed according to the usual procedure of the journal. Guidelines for preparation of contributions The deadline for contributed papers is 31 March
Special issue on cluster algebras in mathematical physics

NASA Astrophysics Data System (ADS)

Di Francesco, Philippe; Gekhtman, Michael; Kuniba, Atsuo; Yamazaki, Masahito

2013-12-01

This is a call for contributions to a special issue of Journal of Physics A: Mathematical and Theoretical dedicated to cluster algebras in mathematical physics. Over the ten years since their introduction by Fomin and Zelevinsky, the theory of cluster algebras has witnessed a spectacular growth, first and foremost due to the many links that have been discovered with a wide range of subjects in mathematics and, increasingly, theoretical and mathematical physics. The main motivation of this special issue is to gather together reviews, recent developments and open problems, mainly from a mathematical physics viewpoint, into a single comprehensive issue. We expect that such a special issue will become a valuable reference for the broad scientific community working in mathematical and theoretical physics. The issue will consist of invited review articles and contributed papers containing new results on the interplays of cluster algebras with mathematical physics. Editorial policy The Guest Editors for this issue are Philippe Di Francesco, Michael Gekhtman, Atsuo Kuniba and Masahito Yamazaki. The areas and topics for this issue include, but are not limited to: discrete integrable systems arising from cluster mutations cluster structure on Poisson varieties cluster algebras and soliton interactions cluster positivity conjecture Y-systems in the thermodynamic Bethe ansatz and Zamolodchikov's periodicity conjecture T-system of transfer matrices of integrable lattice models dilogarithm identities in conformal field theory wall crossing in 4d N = 2 supersymmetric gauge theories 4d N = 1 quiver gauge theories described by networks scattering amplitudes of 4d N = 4 theories 3d N = 2 gauge theories described by flat connections on 3-manifolds integrability of dimer/Ising models on graphs. All contributions will be refereed and processed according to the usual procedure of the journal. Guidelines for preparation of contributions The deadline for contributed papers is 31 March
Special issue on cluster algebras in mathematical physics

NASA Astrophysics Data System (ADS)

Di Francesco, Philippe; Gekhtman, Michael; Kuniba, Atsuo; Yamazaki, Masahito

2013-11-01

This is a call for contributions to a special issue of Journal of Physics A: Mathematical and Theoretical dedicated to cluster algebras in mathematical physics. Over the ten years since their introduction by Fomin and Zelevinsky, the theory of cluster algebras has witnessed a spectacular growth, first and foremost due to the many links that have been discovered with a wide range of subjects in mathematics and, increasingly, theoretical and mathematical physics. The main motivation of this special issue is to gather together reviews, recent developments and open problems, mainly from a mathematical physics viewpoint, into a single comprehensive issue. We expect that such a special issue will become a valuable reference for the broad scientific community working in mathematical and theoretical physics. The issue will consist of invited review articles and contributed papers containing new results on the interplays of cluster algebras with mathematical physics. Editorial policy The Guest Editors for this issue are Philippe Di Francesco, Michael Gekhtman, Atsuo Kuniba and Masahito Yamazaki. The areas and topics for this issue include, but are not limited to: discrete integrable systems arising from cluster mutations cluster structure on Poisson varieties cluster algebras and soliton interactions cluster positivity conjecture Y-systems in the thermodynamic Bethe ansatz and Zamolodchikov's periodicity conjecture T-system of transfer matrices of integrable lattice models dilogarithm identities in conformal field theory wall crossing in 4d N = 2 supersymmetric gauge theories 4d N = 1 quiver gauge theories described by networks scattering amplitudes of 4d N = 4 theories 3d N = 2 gauge theories described by flat connections on 3-manifolds integrability of dimer/Ising models on graphs. All contributions will be refereed and processed according to the usual procedure of the journal. Guidelines for preparation of contributions The deadline for contributed papers is 31 March
Special issue on cluster algebras in mathematical physics

NASA Astrophysics Data System (ADS)

Di Francesco, Philippe; Gekhtman, Michael; Kuniba, Atsuo; Yamazaki, Masahito

2013-10-01

This is a call for contributions to a special issue of Journal of Physics A: Mathematical and Theoretical dedicated to cluster algebras in mathematical physics. Over the ten years since their introduction by Fomin and Zelevinsky, the theory of cluster algebras has witnessed a spectacular growth, first and foremost due to the many links that have been discovered with a wide range of subjects in mathematics and, increasingly, theoretical and mathematical physics. The main motivation of this special issue is to gather together reviews, recent developments and open problems, mainly from a mathematical physics viewpoint, into a single comprehensive issue. We expect that such a special issue will become a valuable reference for the broad scientific community working in mathematical and theoretical physics. The issue will consist of invited review articles and contributed papers containing new results on the interplays of cluster algebras with mathematical physics. Editorial policy The Guest Editors for this issue are Philippe Di Francesco, Michael Gekhtman, Atsuo Kuniba and Masahito Yamazaki. The areas and topics for this issue include, but are not limited to: discrete integrable systems arising from cluster mutations cluster structure on Poisson varieties cluster algebras and soliton interactions cluster positivity conjecture Y-systems in the thermodynamic Bethe ansatz and Zamolodchikov's periodicity conjecture T-system of transfer matrices of integrable lattice models dilogarithm identities in conformal field theory wall crossing in 4d N = 2 supersymmetric gauge theories 4d N = 1 quiver gauge theories described by networks scattering amplitudes of 4d N = 4 theories 3d N = 2 gauge theories described by flat connections on 3-manifolds integrability of dimer/Ising models on graphs. All contributions will be refereed and processed according to the usual procedure of the journal. Guidelines for preparation of contributions The deadline for contributed papers is 31 March
Partially Flipped Linear Algebra: A Team-Based Approach

ERIC Educational Resources Information Center

Carney, Debra; Ormes, Nicholas; Swanson, Rebecca

2015-01-01

In this article we describe a partially flipped Introductory Linear Algebra course developed by three faculty members at two different universities. We give motivation for our partially flipped design and describe our implementation in detail. Two main features of our course design are team-developed preview videos and related in-class activities.…
Transversality of Electromagnetic Waves in the Calculus-Based Introductory Physics Course

ERIC Educational Resources Information Center

Burko, Lior M.

2008-01-01

Introductory calculus-based physics textbooks state that electromagnetic waves are transverse and list many of their properties, but most such textbooks do not bring forth arguments why this is so. Both physical and theoretical arguments are at a level appropriate for students of courses based on such books, and could be readily used by…
Using Linear Algebra to Introduce Computer Algebra, Numerical Analysis, Data Structures and Algorithms (and To Teach Linear Algebra, Too).

ERIC Educational Resources Information Center

Gonzalez-Vega, Laureano

1999-01-01

Using a Computer Algebra System (CAS) to help with the teaching of an elementary course in linear algebra can be one way to introduce computer algebra, numerical analysis, data structures, and algorithms. Highlights the advantages and disadvantages of this approach to the teaching of linear algebra. (Author/MM)
Inquiry-Based Course in Physics and Chemistry for Preservice K-8 Teachers

ERIC Educational Resources Information Center

Loverude, Michael E.; Gonzalez, Barbara L.; Nanes, Roger

2011-01-01

We describe an inquiry-based course in physics and chemistry for preservice K-8 teachers developed at California State University Fullerton. The course is one of three developed primarily to enhance the science content understanding of prospective teachers. The course incorporates a number of innovative instructional strategies and is somewhat…
PREFACE: Algebra, Geometry, and Mathematical Physics 2010

NASA Astrophysics Data System (ADS)

Stolin, A.; Abramov, V.; Fuchs, J.; Paal, E.; Shestopalov, Y.; Silvestrov, S.

2012-02-01

This proceedings volume presents results obtained by the participants of the 6th Baltic-Nordic workshop 'Algebra, Geometry, and Mathematical Physics (AGMP-6)' held at the Sven Lovén Centre for Marine Sciences in Tjärnö, Sweden on October 25-30, 2010. The Baltic-Nordic Network AGMP 'Algebra, Geometry, and Mathematical Physics' http://www.agmp.eu was created in 2005 on the initiative of two Estonian universities and two Swedish universities: Tallinn University of Technology represented by Eugen Paal (coordinator of the network), Tartu University represented by Viktor Abramov, Lund University represented by Sergei Silvestrov, and Chalmers University of Technology and the University of Gothenburg represented by Alexander Stolin. The goal was to promote international and interdisciplinary cooperation between scientists and research groups in the countries of the Baltic-Nordic region in mathematics and mathematical physics, with special emphasis on the important role played by algebra and geometry in modern physics, engineering and technologies. The main activities of the AGMP network consist of a series of regular annual international workshops, conferences and research schools. The AGMP network also constitutes an important educational forum for scientific exchange and dissimilation of research results for PhD students and Postdocs. The network has expanded since its creation, and nowadays its activities extend beyond countries in the Baltic-Nordic region to universities in other European countries and participants from elsewhere in the world. As one of the important research-dissimilation outcomes of its activities, the network has a tradition of producing high-quality research proceedings volumes after network events, publishing them with various international publishers. The PDF also contains the following: List of AGMP workshops and other AGMP activities Main topics discussed at AGMP-6 Review of AGMP-6 proceedings Acknowledgments List of Conference Participants
Examining gender differences on FCI performance in algebra and calculus based physics courses

NASA Astrophysics Data System (ADS)

Kreutzer, Kimberley; Boudreaux, Andrew

2009-05-01

The Force Concept Inventory (FCI) has been widely used to asses student understanding of Newtonian principles. Studies have shown a marked difference in the performance of men and women on both pre- and post-tests [1,2] and also indicate that experiential based instruction may lead to a reduction in this gender gap [1,3]. This poster presents FCI data collected at Western Washington University. Initial analysis of gender differences are consistent with those reported nationally. We also discuss factors that may contribute to the differences in performance and propose instructional strategies that are designed to address the gender gap. [4pt] [1] M. Lorenzo, et. al., ``Reducing the gender gap in the physics classroom,'' AJP 74(2), 118-122 (2006) [0pt] [2] J. Docktor and K. Heller, ``Gender Differences in Both Force Concept Inventory and Introductory Physics Performance,'' Proceedings at the 2008 PERC [0pt] [3] S. Pollack, et. al., ``Reducing the gender gap in the physics classroom: How sufficient is interactive engagement?'' PRST-PER 3 (2007)
Social network analysis of a project-based introductory physics course

NASA Astrophysics Data System (ADS)

Oakley, Christopher

2016-03-01

Research suggests that students benefit from peer interaction and active engagement in the classroom. The quality, nature, effect of these interactions is currently being explored by Physics Education Researchers. Spelman College offers an introductory physics sequence that addresses content and research skills by engaging students in open-ended research projects, a form of Project-Based Learning. Students have been surveyed at regular intervals during the second semester of trigonometry-based course to determine the frequency of interactions in and out of class. These interactions can be with current or past students, tutors, and instructors. This line of inquiry focuses on metrics of Social Network analysis, such as centrality of participants as well as segmentation of groups. Further research will refine and highlight deeper questions regarding student performance in this pedagogy and course sequence.
Physics of Health Sciences

NASA Astrophysics Data System (ADS)

Baublitz, Millard; Goldberg, Bennett

A one-semester algebra-based physics course is being offered to Boston University students whose major fields of study are in allied health sciences: physical therapy, athletic training, and speech, language, and hearing sciences. The classroom instruction incorporates high-engagement learning techniques including worksheets, student response devices, small group discussions, and physics demonstrations instead of traditional lectures. The use of pre-session exercises and quizzes has been implemented. The course also requires weekly laboratory experiments in mechanics or electricity. We are using standard pre- and post-course concept inventories to compare this one-semester introductory physics course to ten years of pre- and post-course data collected on students in the same majors but who completed a two-semester course.
An evidence based approach to undergraduate physical assessment practicum course development.

PubMed

Anderson, Brenda; Nix, Elizabeth; Norman, Bilinda; McPike, H Dawn

2014-05-01

Physical assessment is an important component of professional nursing practice. New nurse graduates experience difficulty transitioning the traditional head to toe physical assessment into real world nursing practice. This study was conducted to provide current data concerning physical assessment competencies utilized consistently by registered nurses. This quantitative study used a 126 item survey mailed to 900 Registered Nurses. Participants used a Likert-type scale to report frequency of use for physical assessment competencies. Thirty seven competencies were determined to be essential components of the physical assessment, 18 were determined supplemental, and 71 were determined to be non-essential. Transition of the new graduate nurse into professional practice can be enhanced by focusing content in physical assessment practicum courses on the essential competencies of physical assessment. Faculty for the university has analyzed data from this study to support evidence based changes to the undergraduate nursing program physical assessment practicum course. Copyright © 2013 Elsevier Ltd. All rights reserved.
The effect of the flipped model on achievement in an introductory college physics course

NASA Astrophysics Data System (ADS)

Winter, Joshua Brian

The flipped or inverted classroom model is one in which the time and place for traditional lecture and homework are reversed. Traditional lecture is replaced by online videos assigned as homework. This frees up time in class to be spent with more student centered activities such as discussion based concept questions and group problem solving. While growing in popularity, research on the effectiveness of this format is sparse. In this quasi-experimental study, two sections of an introductory algebra-based college physics course were examined over a five week period. Each section was taught with either the traditional or flipped model and physics knowledge achieved was compared using independent samples t-tests on both the instructor's unit exam and the Mechanics Baseline Test pre/posttest normalized gain. Results indicated that there was no statistically significant difference between the flipped model and the traditional lecture format. Avenues for further research are discussed.
Who Repeats Algebra, and How Does Initial Performance Relate to Improvement When the Course Is Repeated?

ERIC Educational Resources Information Center

Fong, Anthony; Jaquet, Karina; Finkelstein, Neal

2016-01-01

The information provided in this report shows how students perform when they repeat algebra I and how the level of improvement varies depending on initial course performance and the academic measure (course grades or CST scores). This information can help inform decisions and policies regarding whether and under what circumstances students should…
The practice of problem-based investigative teaching reform in semiconductor physics course

NASA Astrophysics Data System (ADS)

Chen, Aiping; Wu, Gaojian; Gu, Dawei; Jiang, Hongying; Wang, Lei

2017-08-01

Semiconductor physics is an important basic course for the students of the majors of applied physics, optoelectronics, and microelectronics. The authors have been carrying out investigative-teaching reform in semiconductor physics teaching. Firstly, the teaching content was re-structured based on scientific problems. Secondly, the students were placed in groups to discuss different scientific problems and to present a few short science-reports. Thirdly, micro-lesson videos were produced for the students to study and analyze before or after class. With comparative analysis, we find out that the semiconductor-physics curriculum content was greatly enriched. In addition, the students' learning motivation and scientific thinking ability increased, and their innovation ability was improved. Overall, the teaching quality of the semiconductor physics course could be significantly improved.
Abstract Algebra to Secondary School Algebra: Building Bridges

ERIC Educational Resources Information Center

Christy, Donna; Sparks, Rebecca

2015-01-01

The authors have experience with secondary mathematics teacher candidates struggling to make connections between the theoretical abstract algebra course they take as college students and the algebra they will be teaching in secondary schools. As a mathematician and a mathematics educator, the authors collaborated to create and implement a…

Subsequent Success in a Mathematics Course by Students Who Received a Grade in Intermediate Algebra (Math 253) for the Fall, 2002 Semester at Saddleback College

ERIC Educational Resources Information Center

Sworder, Steve

2006-01-01

The purpose of this study was to determine the effectiveness of a typical California community college Intermediate Algebra course in preparing students for success in the transfer level mathematics courses for which Intermediate Algebra was the prerequisite. The subsequent mathematics course taken by each of the 986 students who received a grade…
Who Takes College Algebra?

ERIC Educational Resources Information Center

Herriott, Scott R.; Dunbar, Steven R.

2009-01-01

The common understanding within the mathematics community is that the role of the college algebra course is to prepare students for calculus. Though exceptions are emerging, the curriculum of most college algebra courses and the content of most textbooks on the market both reflect that assumption. This article calls that assumption into question…
Scientific Reasoning Abilities of Nonscience Majors in Physics-Based Courses

ERIC Educational Resources Information Center

Moore, J. Christopher; Rubbo, Louis J.

2012-01-01

We have found that non-STEM (science, technology, engineering, and mathematics) majors taking either a conceptual physics or astronomy course at two regional comprehensive institutions score significantly lower preinstruction on the Lawson's Classroom Test of Scientific Reasoning (LCTSR) in comparison to national average STEM majors. Based on…
Matematica Para La Escuela Secundaria, Primer Curso de Algebra (Parte 1). Traduccion Preliminar de la Edicion Inglesa Revisada. (Mathematics for High School, First Course in Algebra, Part 1. Preliminary Translation of the Revised English Edition).

ERIC Educational Resources Information Center

Allen, Frank B.; And Others

This is the student text for part one of a three-part SMSG algebra course for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables; operations;…
A Game-Based Approach to an Entire Physical Chemistry Course

ERIC Educational Resources Information Center

Daubenfeld, Thorsten; Zenker, Dietmar

2015-01-01

We designed, implemented, and evaluated a game-based learning approach to increase student motivation and achievement for an undergraduate physical chemistry course. By focusing only on the most important game aspects, the implementation was realized with a production ratio of 1:8 (study load in hours divided by production effort in hours).…
Teaching Introductory Physics with an Environmental Focus

NASA Astrophysics Data System (ADS)

Martinuk, Mathew ``Sandy''; Moll, Rachel F.; Kotlicki, Andrzej

2010-09-01

Throughout North America the curriculum of introductory physics courses is nearly standardized. In 1992, Tobias wrote that four texts dominate 90% of the introductory physics market and current physics education research is focusing on how to sustain educational reforms.2 The instructional team at the University of British Columbia (UBC) recently implemented some key curriculum and pedagogical changes in Physics 100, their algebra-based introductory course for non-physics majors. These changes were aimed at improving their students' attitudes toward physics and their ability to apply physics concepts to useful real-life situations. In order to demonstrate that physics is relevant to real life, a theme of energy and environment was incorporated into the course.
An intermediate-level course on Biological Physics

NASA Astrophysics Data System (ADS)

Nelson, Phil

2004-03-01

I describe both undergraduate and graduate 1-semester courses designed to give a survey of Biological Physics. The courses cover classical as well as recent topics. The undergraduate version requires calculus-based first-year physics as its prerequisite. With this level of assumed background, we can arrive at topics such as molecular motors, manipulation of single molecules, and the propagation of nerve impulses. Students majoring in physics, chemistry, biochemistry, and every engineering major (as well as a few in biology), end up taking this course. The graduate course covers the same material but includes exercises with symbolic mathematics packages and data modeling.
Algebra 1r, Mathematics (Experimental): 5215.13.

ERIC Educational Resources Information Center

Strachan, Florence

This third of six guidebooks on minimum course content for first-year algebra includes work with laws of exponents; multiplication, division, and factoring of polynomials; and fundamental operations with rational algebraic expressions. Course goals are stated, performance objectives listed, a course outline provided, testbook references specified…
End of Course Grades and End of Course Tests in the Virtual Environment: A Study of Correlation

ERIC Educational Resources Information Center

Philipp, Jamie Gilbert

2014-01-01

The purpose of this correlational study is to understand the relationship between end-of-course grades as assigned by teachers and standardized end-of-course scores earned by students in Algebra, Geometry, Biology, Physical Science, and U.S. History courses at one virtual charter school in the State of Georgia. Pearson Product-Moment Correlation…
Developing the Learning Physical Science Curriculum: Adapting a Small Enrollment, Laboratory and Discussion Based Physical Science Course for Large Enrollments

ERIC Educational Resources Information Center

Goldberg, Fred; Price, Edward; Robinson, Stephen; Boyd-Harlow, Danielle; McKean, Michael

2012-01-01

We report on the adaptation of the small enrollment, lab and discussion based physical science course, "Physical Science and Everyday Thinking" (PSET), for a large-enrollment, lecture-style setting. Like PSET, the new "Learning Physical Science" (LEPS) curriculum was designed around specific principles based on research on learning to meet the…
Programmed First Course in Algebra, Revised Form H, Student's Text, Part I, Unit 60.

ERIC Educational Resources Information Center

Buck, R. Creighton; And Others

This is part one of a two-part SMSG Programed Algebra Text for high school students. The general plan of the course is to build upon the student's experience with arithmetic. The student is initially led to extract from his or her experience the fundamental properties of addition and multiplication. The text then introduces negative real numbers…
Introducing Algebra through the Graphical Representation of Functions: A Study among LD Students

ERIC Educational Resources Information Center

Sauriol, Jennifer

2013-01-01

This longitudinal study evaluates the impact of a new Algebra 1 course at a High School for language-based learning-disabled (LD) students. The new course prioritized the teaching of relationship graphs and functions as an introduction to algebra. Across three studies, the dissertation documents and evaluates the progress made by LD high school…
Focus on Fractions to Scaffold Algebra

ERIC Educational Resources Information Center

Ooten, Cheryl Thomas

2013-01-01

Beginning algebra is a gatekeeper course into the pipeline to higher mathematics courses required for respected professions in engineering, science, statistics, mathematics, education, and technology. Beginning algebra can also be a perfect storm if the necessary foundational skills are not within a student's grasp. What skills ensure beginning…
Mathematical modelling in engineering: an alternative way to teach Linear Algebra

NASA Astrophysics Data System (ADS)

Domínguez-García, S.; García-Planas, M. I.; Taberna, J.

2016-10-01

Technological advances require that basic science courses for engineering, including Linear Algebra, emphasize the development of mathematical strengths associated with modelling and interpretation of results, which are not limited only to calculus abilities. Based on this consideration, we have proposed a project-based learning, giving a dynamic classroom approach in which students modelled real-world problems and turn gain a deeper knowledge of the Linear Algebra subject. Considering that most students are digital natives, we use the e-portfolio as a tool of communication between students and teachers, besides being a good place making the work visible. In this article, we present an overview of the design and implementation of a project-based learning for a Linear Algebra course taught during the 2014-2015 at the 'ETSEIB'of Universitat Politècnica de Catalunya (UPC).
Using Topic Order to Reinforce Student Algebra Skills in a Community College Introductory Chemistry Course

ERIC Educational Resources Information Center

Blakely, Alan W.

2011-01-01

This article describes the impact of starting with gases in an introductory chemistry course at a community college. Students in the author's class frequently are very weak in algebra skills, and this has a cumulative impact over time that culminates in student struggles when moles and reaction stoichiometry are discussed. The rationale behind…
The Effects of Guided Discussion on Math Anxiety Levels, Course Performance, and Retention in a College Algebra Internet Class

ERIC Educational Resources Information Center

Emig, Christa

2009-01-01

The study sought to test the hypotheses that effective, guided discussions that facilitate meaningful dialogue about math anxiety would reduce levels of math anxiety in college algebra students, and would enhance course performance and course retention at a large community college in South Texas. The study was quantitative with a qualitative…
Pre-Algebra Lexicon.

ERIC Educational Resources Information Center

Hayden, Dunstan; Cuevas, Gilberto

The pre-algebra lexicon is a set of classroom exercises designed to teach the technical words and phrases of pre-algebra mathematics, and includes the terms most commonly found in related mathematics courses. The lexicon has three parts, each with its own introduction. The first introduces vocabulary items in three groups forming a learning…
Factors That Have an Effect on Students' Scores on the Florida Algebra 1 End-of-Course Assessment in Algebra 1 Classrooms Using Interactive Whiteboard Tools

ERIC Educational Resources Information Center

Kelley, Ginno Paoli

2012-01-01

This study examined the factors that have an effect on student scores on the Florida End-of-Course (EOC) Assessment in four secondary Algebra 1 classrooms using interactive whiteboard tools (IWTs). Four teachers and 335 students were observed in one public suburban school in central Florida during the second half of the spring term. Hierarchical…
Computer Aided Instruction for a Course in Boolean Algebra and Logic Design. Final Report (Revised).

ERIC Educational Resources Information Center

Roy, Rob

The use of computers to prepare deficient college and graduate students for courses that build upon previously acquired information would solve the growing problem of professors who must spend up to one third of their class time in review of material. But examination of students who were taught Boolean Algebra and Logic Design by means of Computer…
Ready, Set, Algebra?

ERIC Educational Resources Information Center

Levy, Alissa Beth

2012-01-01

The California Department of Education (CDE) has long asserted that success Algebra I by Grade 8 is the goal for all California public school students. In fact, the state's accountability system penalizes schools that do not require all of their students to take the Algebra I end-of-course examination by Grade 8 (CDE, 2009). In this dissertation,…

Computing Gröbner Bases within Linear Algebra

NASA Astrophysics Data System (ADS)

Suzuki, Akira

In this paper, we present an alternative algorithm to compute Gröbner bases, which is based on computations on sparse linear algebra. Both of S-polynomial computations and monomial reductions are computed in linear algebra simultaneously in this algorithm. So it can be implemented to any computational system which can handle linear algebra. For a given ideal in a polynomial ring, it calculates a Gröbner basis along with the corresponding term order appropriately.
Algebra for All: California's Eighth-Grade Algebra Initiative as Constrained Curricula.

PubMed

Domina, Thurston; Penner, Andrew M; Penner, Emily K; Conley, Annemarie

2014-08-01

Across the United States, secondary school curricula are intensifying as a growing proportion of students enroll in high-level academic math courses. In many districts, this intensification process occurs as early as eighth grade, where schools are effectively constraining their mathematics curricula by restricting course offerings and placing more students into Algebra I. This paper provides a quantitative single-case research study of policy-driven curricular intensification in one California school district. (1a) What effect did 8th eighth grade curricular intensification have on mathematics course enrollment patterns in Towering Pines Unified schools? (2b) How did the distribution of prior achievement in Towering Pines math classrooms change as the district constrained the curriculum by universalizing 8th eighth grade Algebra? (3c) Did 8th eighth grade curricular intensification improve students' mathematics achievement? Towering Pines is an immigrant enclave in the inner-ring suburbs of a major metropolitan area. The district's 10 middle schools together enroll approximately 4,000 eighth graders each year. The districts' students are ethnically diverse and largely economically disadvantaged. The study draws upon administrative data describing 8th eighth graders in the district in the 2004-20-05 through 2007-20-08 school years. During the study period, Towering Pines dramatically intensified middle school students' math curricula: In the 2004-20-05 school year 32% of the district's 8th eighth graders enrolled in Algebra or a higher- level mathematics course; by the 2007-20-08 school year that proportion had increased to 84%. We use an interrupted time-series design, comparing students' 8th eighth grade math course enrollments, 10th grade math course enrollments, and 10th grade math test scores across the four cohorts, controlling for demographics and prior achievement. We find that students' odds of taking higher level mathematics courses increased as this
Exploring Student Learning Profiles in Algebra-Based Studio Physics: A Person-Centered Approach

ERIC Educational Resources Information Center

Pond, Jarrad W. T.; Chini, Jacquelyn J.

2017-01-01

In this study, we explore the strategic self-regulatory and motivational characteristics of students in studio-mode physics courses at three universities with varying student populations and varying levels of success in their studio-mode courses. We survey students using questions compiled from several existing questionnaires designed to measure…
Computer Based Collaborative Problem Solving for Introductory Courses in Physics

NASA Astrophysics Data System (ADS)

Ilie, Carolina; Lee, Kevin

2010-03-01

We discuss collaborative problem solving computer-based recitation style. The course is designed by Lee [1], and the idea was proposed before by Christian, Belloni and Titus [2,3]. The students find the problems on a web-page containing simulations (physlets) and they write the solutions on an accompanying worksheet after discussing it with a classmate. Physlets have the advantage of being much more like real-world problems than textbook problems. We also compare two protocols for web-based instruction using simulations in an introductory physics class [1]. The inquiry protocol allowed students to control input parameters while the worked example protocol did not. We will discuss which of the two methods is more efficient in relation to Scientific Discovery Learning and Cognitive Load Theory. 1. Lee, Kevin M., Nicoll, Gayle and Brooks, Dave W. (2004). ``A Comparison of Inquiry and Worked Example Web-Based Instruction Using Physlets'', Journal of Science Education and Technology 13, No. 1: 81-88. 2. Christian, W., and Belloni, M. (2001). Physlets: Teaching Physics With Interactive Curricular Material, Prentice Hall, Englewood Cliffs, NJ. 3. Christian,W., and Titus,A. (1998). ``Developing web-based curricula using Java Physlets.'' Computers in Physics 12: 227--232.
An investigation of the impact of science course sequencing on student performance in high school science and math

NASA Astrophysics Data System (ADS)

Mary, Michael Todd

High school students in the United States for the past century have typically taken science courses in a sequence of biology followed by chemistry and concluding with physics. An alternative sequence, typically referred to as "physics first" inverts the traditional sequence by having students begin with physics and end with biology. Proponents of physics first cite advances in biological sciences that have dramatically changed the nature of high school biology and the potential benefit to student learning in math that would accompany taking an algebra-based physics course in the early years of high school to support changing the sequence. Using a quasi-experimental, quantitative research design, the purpose of this study was to investigate the impact of science course sequencing on student achievement in math and science at a school district that offered both course sequences. The Texas state end-of-course exams in biology, chemistry, physics, algebra I and geometry were used as the instruments measuring student achievement in math and science at the end of each academic year. Various statistical models were used to analyze these achievement data. The conclusion was, for students in this study, the sequence in which students took biology, chemistry, and physics had little or no impact on performance on the end-of-course assessments in each of these courses. Additionally there was only a minimal effect found with respect to math performance, leading to the conclusion that neither the traditional or "physics first" science course sequence presented an advantage for student achievement in math or science.
The Effects of Computer Algebra System on Undergraduate Students' Spatial Visualization Skills in a Calculus Course

ERIC Educational Resources Information Center

Karakus, Fatih; Aydin, Bünyamin

2017-01-01

This study aimed at determining the effects of using a computer algebra system (CAS) on undergraduate students' spatial visualization skills in a calculus course. This study used an experimental design. The "one group pretest-posttest design" was the research model. The participants were 41 sophomore students (26 female and 15 male)…
An Investigation into the Effectiveness of Problem-Based Learning in a Physical Chemistry Laboratory Course

ERIC Educational Resources Information Center

Gurses, Ahmet; Acikyildiz, Metin; Dogar, Cetin; Sozbilir, Mustafa

2007-01-01

The aim of this study was to investigate the effectiveness of a problem-based learning (PBL) approach in a physical chemistry laboratory course. The parameters investigated were students' attitudes towards a chemistry laboratory course, scientific process skills of students and their academic achievement. The design of the study was one group…
Exploring Interactive and Dynamic Simulations Using a Computer Algebra System in an Advanced Placement Chemistry Course

ERIC Educational Resources Information Center

Matsumoto, Paul S.

2014-01-01

The article describes the use of Mathematica, a computer algebra system (CAS), in a high school chemistry course. Mathematica was used to generate a graph, where a slider controls the value of parameter(s) in the equation; thus, students can visualize the effect of the parameter(s) on the behavior of the system. Also, Mathematica can show the…
A Regression Analysis of South Carolina Algebra I End-of-Course Exam Scores by Schedule Type

ERIC Educational Resources Information Center

Smith, Dawn M.

2017-01-01

The purpose of this study was to examine the relationship between scheduling and first-year-high-school students' exam scores on the South Carolina Algebra I End-of-Course (EOC) assessment. The study compared existing empirical data from two southeastern high schools from the same school district using 4 X 4 block schedules from 2011-2014 and…
Abstract Algebra for Teachers: An Evaluative Case Study

ERIC Educational Resources Information Center

Hoffman, Andrew Joseph

2017-01-01

This manuscript describes the study of an abstract algebra course for preservice secondary mathematics teachers (PSMTs). Often, courses in abstract algebra have not been viewed as productive, beneficial learning experiences for future teachers, both by researchers and PSMTs themselves. This despite calls for increased content knowledge for…
Designing Spreadsheet-Based Tasks for Purposeful Algebra

ERIC Educational Resources Information Center

Ainley, Janet; Bills, Liz; Wilson, Kirsty

2005-01-01

We describe the design of a sequence of spreadsheet-based pedagogic tasks for the introduction of algebra in the early years of secondary schooling within the Purposeful Algebraic Activity project. This design combines two relatively novel features to bring a different perspective to research in the use of spreadsheets for the learning and…
Catching Up on Algebra

ERIC Educational Resources Information Center

Cavanagh, Sean

2008-01-01

A popular humorist and avowed mathphobe once declared that in real life, there's no such thing as algebra. Kathie Wilson knows better. Most of the students in her 8th grade class will be thrust into algebra, the definitive course that heralds the beginning of high school mathematics, next school year. The problem: Many of them are about three…
Effects of 8th Grade Algebra on High School Course-Taking and Math Achievement: Evidence from Changing Practices in a Large Urban District

ERIC Educational Resources Information Center

Rickles, Jordan; Phillips, Meredith; Yamashiro, Kyo

2014-01-01

Between 1990 and 2012, the percentage of 13-year-olds (most of whom are 8th graders) taking algebra more than doubled, from 15% to 34% (National Center for Education Statistics, 2013). Yet recent education policy changes suggest that this movement to encourage algebra-taking in 8th grade has begun to reverse course. Existing research suggests that…
Problem-Based Labs and Group Projects in an Introductory University Physics Course

ERIC Educational Resources Information Center

Kohnle, Antje; Brown, C. Tom A.; Rae, Cameron F.; Sinclair, Bruce D.

2012-01-01

This article describes problem-based labs and analytical and computational project work we have been running at the University of St Andrews in an introductory physics course since 2008/2009. We have found the choice of topics, scaffolding of the process, timing in the year and facilitator guidance decisive for the success of these activities.…
An Algebra-Based Introductory Computational Neuroscience Course with Lab.

PubMed

Fink, Christian G

2017-01-01

A course in computational neuroscience has been developed at Ohio Wesleyan University which requires no previous experience with calculus or computer programming, and which exposes students to theoretical models of neural information processing and techniques for analyzing neural data. The exploration of theoretical models of neural processes is conducted in the classroom portion of the course, while data analysis techniques are covered in lab. Students learn to program in MATLAB and are offered the opportunity to conclude the course with a final project in which they explore a topic of their choice within computational neuroscience. Results from a questionnaire administered at the beginning and end of the course indicate significant gains in student facility with core concepts in computational neuroscience, as well as with analysis techniques applied to neural data.
Dynamical systems defined on infinite dimensional lie algebras of the ''current algebra'' or ''Kac-Moody'' type

NASA Astrophysics Data System (ADS)

Hermann, Robert

1982-07-01

Recent work by Morrison, Marsden, and Weinstein has drawn attention to the possibility of utilizing the cosymplectic structure of the dual of the Lie algebra of certain infinite dimensional Lie groups to study hydrodynamical and plasma systems. This paper treats certain models arising in elementary particle physics, considered by Lee, Weinberg, and Zumino; Sugawara; Bardacki, Halpern, and Frishman; Hermann; and Dolan. The lie algebras involved are associated with the ''current algebras'' of Gell-Mann. This class of Lie algebras contains certain of the algebras that are called ''Kac-Moody algebras'' in the recent mathematics and mathematical physics literature.
UCSMP Algebra. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2007

2007-01-01

"University of Chicago School Mathematics Project (UCSMP) Algebra," designed to increase students' skills in algebra, is appropriate for students in grades 7-10, depending on the students' incoming knowledge. This one-year course highlights applications, uses statistics and geometry to develop the algebra of linear equations and inequalities, and…
Self-Paced Physics, Course Materials.

ERIC Educational Resources Information Center

New York Inst. of Tech., Old Westbury.

Samples of the Self-Paced Physics Course materials are presented in this collection for dissemination purposes. Descriptions are included of course objectives, characteristics, structures, and content. As a two-semester course of study for science and engineering sophomores, most topics are on a level comparable to that of classical physics by…
On the structure of quantum L∞ algebras

NASA Astrophysics Data System (ADS)

Blumenhagen, Ralph; Fuchs, Michael; Traube, Matthias

2017-10-01

It is believed that any classical gauge symmetry gives rise to an L∞ algebra. Based on the recently realized relation between classical W algebras and L∞ algebras, we analyze how this generalizes to the quantum case. Guided by the existence of quantum W algebras, we provide a physically well motivated definition of quantum L∞ algebras describing the consistency of global symmetries in quantum field theories. In this case we are restricted to only two non-trivial graded vector spaces X 0 and X -1 containing the symmetry variations and the symmetry generators. This quantum L∞ algebra structure is explicitly exemplified for the quantum W_3 algebra. The natural quantum product between fields is the normal ordered one so that, due to contractions between quantum fields, the higher L∞ relations receive off-diagonal quantum corrections. Curiously, these are not present in the loop L∞ algebra of closed string field theory.
The Great Debate: Should All 8th Graders Take Algebra?

ERIC Educational Resources Information Center

McKibben, Sarah

2009-01-01

While 8th grade algebra was once reserved as a course for the gifted, today, more U.S. 8th graders take algebra than any other math course. This article discusses a report from the Brookings Institution which chronicles the history of the 8th-grade algebra surge and its impact on today's low-performing students. The report indicates that many of…

Algebra for All: California’s Eighth-Grade Algebra Initiative as Constrained Curricula

PubMed Central

Domina, Thurston; Penner, Andrew M.; Penner, Emily K.; Conley, Annemarie

2015-01-01

Background/Context Across the United States, secondary school curricula are intensifying as a growing proportion of students enroll in high-level academic math courses. In many districts, this intensification process occurs as early as eighth grade, where schools are effectively constraining their mathematics curricula by restricting course offerings and placing more students into Algebra I. This paper provides a quantitative single-case research study of policy-driven curricular intensification in one California school district. Research Questions (1a) What effect did 8th eighth grade curricular intensification have on mathematics course enrollment patterns in Towering Pines Unified schools? (2b) How did the distribution of prior achievement in Towering Pines math classrooms change as the district constrained the curriculum by universalizing 8th eighth grade Algebra? (3c) Did 8th eighth grade curricular intensification improve students’ mathematics achievement? Setting Towering Pines is an immigrant enclave in the inner-ring suburbs of a major metropolitan area. The district’s 10 middle schools together enroll approximately 4,000 eighth graders each year. The districts’ students are ethnically diverse and largely economically disadvantaged. The study draws upon administrative data describing 8th eighth graders in the district in the 2004–20-05 through 2007–20-08 school years. Intervention/Program/Practice During the study period, Towering Pines dramatically intensified middle school students’ math curricula: In the 2004–20-05 school year 32% of the district’s 8th eighth graders enrolled in Algebra or a higher- level mathematics course; by the 2007–20-08 school year that proportion had increased to 84%. Research Design We use an interrupted time-series design, comparing students’ 8th eighth grade math course enrollments, 10th grade math course enrollments, and 10th grade math test scores across the four cohorts, controlling for demographics and
Reaching Out: The Bachelor of Arts Degree In Physics

NASA Astrophysics Data System (ADS)

Hobson, Art

1996-05-01

Physics degrees are not only for physicists. Our department believes that it would be healthy if attorneys, physicians, journalists, politicians, businesspeople, and others had undergraduate degrees in physics. Thus, we have begun offering a Bachelor of Arts degree in physics, for students who want to study physics as a background for other fields such as law (patents, environmental law), medical school, business (high-tech firms), journalism (science reporting, environmental reporting), music (accoustics, electronic music), and essentially any other profession. The program reaches outward, outside of physics, rather than pointing toward further work in physics. It begins with the algebra-based introductory course rather than the calculus-based course for future physicists and engineers. Two new courses are being created to provide these pre-professional students with broad science literacy and knowledge of physics-related technologies. The program is more flexible and less technical than the traditional Bachelor of Science program, allowing students time for outside electives and professional requirements in other fields.
Principles of Stagewise Separation Process Calculations: A Simple Algebraic Approach Using Solvent Extraction.

ERIC Educational Resources Information Center

Crittenden, Barry D.

1991-01-01

A simple liquid-liquid equilibrium (LLE) system involving a constant partition coefficient based on solute ratios is used to develop an algebraic understanding of multistage contacting in a first-year separation processes course. This algebraic approach to the LLE system is shown to be operable for the introduction of graphical techniques…
How Do Algebra I Course Repetition Rates Vary among English Learner Students by Length of Time to Reclassification as English Proficient? REL 2017-222

ERIC Educational Resources Information Center

Jaquet, Karina; Fong, Anthony B.

2017-01-01

Research has found high repetition rates for students in Algebra I, with one study finding a repetition rate of 44 percent for students in a large urban high school district. Less is known about how math performance and Algebra I course repetition rates vary among students with different levels of English proficiency. This report examines Algebra…
Teaching Physics to Future Presidents

NASA Astrophysics Data System (ADS)

Jacobsen, Bob

2015-03-01

We present Berkeley's ``Physics for Future Presidents'' course. Created by Prof. Richard Muller, this is an introductory course aimed at preparing our students to make decisions in a physical, technological world. Organized around large topical areas like ``Energy,'' ``Gravity and Force,'' ``Nuclei and Radioactivity,'' and ``Invisible Light,'' we can cover in some depth the scientific issues involved in large-scale energy production via renewable and non-renewable resources, satellites including capabilities and limitations, nuclear power production including risk and waste, UV exposure including discussion of the ozone layer and cancer risk, etc. Although only a small bit of algebra is used, it's a deeply quantitative course. The class is structured around (1) traditional text readings and homework for basic material (2) demo- and discussion-based lectures and (3) readings and essays based on current articles and events. This third component raises student engagement and improves their reasoning & skeptical skills. It also makes the course challenging for both STEM and non-STEM students, and for future teachers.
Mathematization in introductory physics

NASA Astrophysics Data System (ADS)

Brahmia, Suzanne M.

Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in
Implementing Computer Based Laboratories

NASA Astrophysics Data System (ADS)

Peterson, David

2001-11-01

Physics students at Francis Marion University will complete several required laboratory exercises utilizing computer-based Vernier probes. The simple pendulum, the acceleration due to gravity, simple harmonic motion, radioactive half lives, and radiation inverse square law experiments will be incorporated into calculus-based and algebra-based physics courses. Assessment of student learning and faculty satisfaction will be carried out by surveys and test results. Cost effectiveness and time effectiveness assessments will be presented. Majors in Computational Physics, Health Physics, Engineering, Chemistry, Mathematics and Biology take these courses, and assessments will be categorized by major. To enhance the computer skills of students enrolled in the courses, MAPLE will be used for further analysis of the data acquired during the experiments. Assessment of these enhancement exercises will also be presented.
Physics 3204. Course Description.

ERIC Educational Resources Information Center

Newfoundland and Labrador Dept. of Education.

A description of the physics 3204 course in Newfoundland and Labrador is provided. The description includes: (1) statement of purpose, including general objectives of science education; (2) a list of six course objectives; (3) course content for units on sound, light, optical instruments, electrostatics, current electricity, Michael Faraday and…
Algebra: A Challenge at the Crossroads of Policy and Practice

ERIC Educational Resources Information Center

Stein, Mary Kay; Kaufman, Julia Heath; Sherman, Milan; Hillen, Amy F.

2011-01-01

The authors review what is known about early and universal algebra, including who is getting access to algebra and student outcomes associated with algebra course taking in general and specifically with universal algebra policies. The findings indicate that increasing numbers of students, some of whom are underprepared, are taking algebra earlier.…
Physics Almost Saved the President! Electromagnetic Induction and the Assassination of James Garfield: A Teaching Opportunity in Introductory Physics

ERIC Educational Resources Information Center

Overduin, James; Molloy, Dana; Selway, Jim

2014-01-01

Electromagnetic induction is probably one of the most challenging subjects for students in the introductory physics sequence, especially in algebra-based courses. Yet it is at the heart of many of the devices we rely on today. To help students grasp and retain the concept, we have put together a simple and dramatic classroom demonstration that…
Impact of Maple(TM) on the design, instruction and performance in an undergraduate physics mathematical methods course

NASA Astrophysics Data System (ADS)

Runge, Alan Paul

1997-10-01

A traditional undergraduate physics course on mathematical methods has been redesigned to incorporate the use of Maplesp{sc {TM}}, a computer algebra program, during all aspects of the course. Topics covered were: complex number theory; series approximations; matrix theory; partial differentiation; vector algebra; and vector calculus. Five undergraduate students were enrolled, from sophomore to senior in academic class standing. A qualitative case study methodology was used to describe the changes in the course design resulting from the incorporation of Maplesp{sc {TM}} and their impact on the instruction of the course, and to determine the effects on the students' learning and development of problem solving skills in physics using Maplesp{sc {TM}} as a problem solving tool. The impact of using Maplesp{sc {TM}} on the number and types of interactions is presented. The entire semester long course was included in this study. Each class session is described in detail. Examples of the Maplesp{sc {TM}} materials used are given. The use of the Maplesp{sc {TM}} program was allowed on all homework and exams with each student having their own computer during class. Constraints were made so that the assessment emphasis remained on the mathematics and the conceptual understanding of the problem solving methods. All of the students demonstrated some level of proficiency in using Maplesp{TM} to solve the assigned problems. Strategies for effectively using Maplesp{TM} were presented and were individualized by the students. The students reported positive and negative impacts of using Maplesp{sc {TM}}. All of the students satisfactorily completed the course requirements, receiving final course grades from B to A+. All of them continued to voluntarily use Maplesp{sc {TM}} during the following semester. Instructional methods used included various lecture techniques without Maplesp{sc {TM}} assistance, lectures and demonstrations using only Maplesp{sc {TM}}, and student tasks
The Effects of Migration to a Blended Self-Paced Format for a Remedial Pre-College Algebra Mathematics Course

ERIC Educational Resources Information Center

Deshler, Jessica; Fuller, Edgar

2016-01-01

Approximately 30% of students entering West Virginia University (WVU) are not ready for college mathematics. The WVU Department of Mathematics has been tasked with remediating these students and has worked over the last decade to find the most efficient way to teach the Pre-College Algebra Workshop; the prerequisite course students must complete…
The Effect of Scheduling Models for Introductory Algebra on 9th-Grade Students, Test Scores and Grades

ERIC Educational Resources Information Center

O'Hanlon, Angela L.

2011-01-01

The purpose of the study was to determine the effect of pacing and scheduling of algebra coursework on assigned 9th-grade students who traditionally would qualify for pre-algebra instruction and same course 9th-grade students who traditionally would qualify for standard algebra instruction. Students were selected based on completion of first-year…
A Proposal for a Research-based Constructivist Physics-and-Pedagogy Course

NASA Astrophysics Data System (ADS)

Zirbel, Esther

2006-12-01

This poster proposes a research-based science-and-pedagogy course that will combine the learning of fundamental physics concepts with methods of how to teach these concepts. Entitled “Understanding the Cosmos: From Antiquity to the Modern Day,” the course will explore how people learn science concepts through the ages, and from childhood through adulthood. This course will use the historical-constructivist approach to illustrate how our understanding of scientific phenomena advanced as we progressed from simple 2-dimensional thinking (starting with the flat Earth concept) to 3-D thinking (learning about the structure of the solar system) to 4-D thinking (understanding space-time and theories about the Big Bang). While transitioning from Impetus to Aristotelian to Newtonian to Einsteinian thinking, students will learn the essence of scientific thinking and inquiry. The overall goal of this course is to excite students in the process of scientific discovery, help them develop scientific reasoning skills, and provide them with fulfilling experiences of truly understanding science concepts. This will be done by employing active engagement techniques (e.g., peer tutoring, Socratic dialogue, and think/pair/share methods) and by challenging students to articulate their thoughts clearly and persuasively. This course could be of value for anybody wanting to enter the teaching profession or simply for anybody who would like to deepen their science understanding.
Linear Algebra and Image Processing

ERIC Educational Resources Information Center

Allali, Mohamed

2010-01-01

We use the computing technology digital image processing (DIP) to enhance the teaching of linear algebra so as to make the course more visual and interesting. Certainly, this visual approach by using technology to link linear algebra to DIP is interesting and unexpected to both students as well as many faculty. (Contains 2 tables and 11 figures.)
A Physics Course for Non-Physical Science Teachers

NASA Astrophysics Data System (ADS)

Cottle, Paul D.

1997-11-01

A two semester introductory physics sequence exclusively for undergraduates and graduate students in science education who were not seeking certification in physics was taught at Florida State for the first time in 1996-97. The course emphasized building understanding in both qualitative and quantitative aspects of physics through group learning approaches to laboratories and written problem assignments, assessments which required detailed written explanations, and frequent interactions between the instructor and individual students. This talk will briefly outline the structure of the course and some of the more interesting observations made by the group of science education graduate students and faculty who evaluated aspects of the course.
An Unusual Apporach to the Elementary Qualitative Physics Course: Introduction to Space Science

ERIC Educational Resources Information Center

Moore, E. Neal

1975-01-01

Describes a course, without laboratory, using rudimentary algebra and covering such topics as gravitation, orbital mechanics, atomic structure, geomagnetism, electromagnetic spectrum, theory of relativity, extraterrestrial life, and interstellar travel. (GH)
Transforming a fourth year modern optics course using a deliberate practice framework

NASA Astrophysics Data System (ADS)

Jones, David J.; Madison, Kirk W.; Wieman, Carl E.

2015-12-01

[This paper is part of the Focused Collection on Upper Division Physics Courses.] We present a study of active learning pedagogies in an upper-division physics course. This work was guided by the principle of deliberate practice for the development of expertise, and this principle was used in the design of the materials and the orchestration of the classroom activities of the students. We present our process for efficiently converting a traditional lecture course based on instructor notes into activities for such a course with active learning methods. Ninety percent of the same material was covered and scores on common exam problems showed a 15% improvement with an effect size greater than 1 after the transformation. We observe that the improvement and the associated effect size is sustained after handing off the materials to a second instructor. Because the improvement on exam questions was independent of specific problem topics and because the material tested was so mathematically advanced and broad (including linear algebra, Fourier transforms, partial differential equations, and vector calculus), we expect the transformation process could be applied to most upper-division physics courses having a similar mathematical base.
An Inquiry-based Course Using ``Physics?'' in Cartoons and Movies

NASA Astrophysics Data System (ADS)

Rogers, Michael

2007-01-01

Books, cartoons, movies, and video games provide engaging opportunities to get both science and nonscience students excited about physics. An easy way to use these media in one's classroom is to have students view clips and identify unusual events, odd physics, or list things that violate our understanding of the physics that governs our universe.1,2 These activities provide a lesson or two of material, but how does one create an entire course on examining the physics in books, cartoons, movies, and video games? Other approaches attempt to reconcile events in various media with our understanding of physics3-8 or use cartoons themselves to help explain physics topics.9
Courses and Resources to Teach Space Physics to Standards

NASA Astrophysics Data System (ADS)

Reiff, P. H.

2008-12-01

We have created four courses for teachers, and inquiry-based materials to go with them, that embed space physics concepts while teaching Space Physics to National and State standards. The state of Texas recently adopted a "4x4" standard, which makes the "recommended" graduation requirement for high school students to include four science and four math courses. Space Physics is not specifically listed as a topic, but falls naturally as part of three of the Texas High School courses: "Physics", "Astronomy" and "Earth and Space Science", a new course whose syllabus is being decided now. The national standards which are most relevant at the high school level are "Change, Constancy and Measurement", "Motions and Forces", "Interactions of Energy and Matter" and "Natural and Human-induced hazards" [National Science Ed Standards, 1996]. The "Texas Essential Knowledge and Skills" includes circuits, electricity and magnetism, and waves in their Physics course syllabus, and include "describe the Sun's effects on the Earth" in the Astronomy class. In the new Earth and Space Science class we expect that additional heliospheric concepts will be included. At Rice we have four Astronomy courses (and four Earth Science courses) for teachers, two of which involve a substantial space physics content. By taking those eight courses, plus a research project and another content or education elective, the teachers can earn a "Masters of Science Teaching" degree. In "Teaching Earth and Space Science" (ASTR 402) we dedicate about 4 weeks on the Sun and the Earth and its environment. The "Physics of Ham Radio" course (PHYS 401) has an even more relevant focus. That class introduces electricity and magnetism, with hands-on activities on circuits and electromagnetic waves. The students earn their "Technician" class amateur license by making at least 75 per cent on the first quiz, which allows them VHF and UHF broadcast privileges. The second half of the course covers more space weather topics

Learning to Apply Algebra in the Community for Adults with Intellectual Developmental Disabilities

ERIC Educational Resources Information Center

Rodriguez, Anthony M.

2016-01-01

Students with intellectual and developmental disabilities (IDD) are routinely excluded from algebra and other high-level mathematics courses. High school students with IDD take courses in arithmetic and life skills rather than having an opportunity to learn algebra. Yet algebra skills can support the learning of money and budgeting skills. This…
Narratives of Experiential Learning: Students' Engagement in a Physical Activity-Based Service-Learning Course

ERIC Educational Resources Information Center

Whitley, Meredith A.; Walsh, David; Hayden, Laura; Gould, Daniel

2017-01-01

Purpose: Three undergraduate students' experiences in a physical activity-based service learning course are chronicled using narrative inquiry. Method: Data collection included demographics questionnaires, pre- and postservice interviews, reflection journals, postservice written reflections, and participant observations. The data were analyzed…
Color Algebras

NASA Technical Reports Server (NTRS)

Mulligan, Jeffrey B.

2017-01-01

A color algebra refers to a system for computing sums and products of colors, analogous to additive and subtractive color mixtures. We would like it to match the well-defined algebra of spectral functions describing lights and surface reflectances, but an exact correspondence is impossible after the spectra have been projected to a three-dimensional color space, because of metamerism physically different spectra can produce the same color sensation. Metameric spectra are interchangeable for the purposes of addition, but not multiplication, so any color algebra is necessarily an approximation to physical reality. Nevertheless, because the majority of naturally-occurring spectra are well-behaved (e.g., continuous and slowly-varying), color algebras can be formulated that are largely accurate and agree well with human intuition. Here we explore the family of algebras that result from associating each color with a member of a three-dimensional manifold of spectra. This association can be used to construct a color product, defined as the color of the spectrum of the wavelength-wise product of the spectra associated with the two input colors. The choice of the spectral manifold determines the behavior of the resulting system, and certain special subspaces allow computational efficiencies. The resulting systems can be used to improve computer graphic rendering techniques, and to model various perceptual phenomena such as color constancy.
The Effect of a Math Emporium Course Redesign in Developmental and Introductory Mathematics Courses on Student Achievement and Students' Attitudes toward Mathematics at a Two-Year College

ERIC Educational Resources Information Center

Bishop, Amy Renee

2010-01-01

The purpose of this research was to determine the effect of computer-based instruction on student mathematics achievement and students' attitudes toward mathematics in developmental and introductory mathematics courses, namely Elementary Algebra, Intermediate Algebra, and College Algebra, at a community college. The researcher also examined the…
A Qualitative Study Comparing the Instruction on Vectors between a Physics Course and a Trigonometry Course

ERIC Educational Resources Information Center

James, Wendy Michelle

2013-01-01

Science and engineering instructors often observe that students have difficulty using or applying prerequisite mathematics knowledge in their courses. This qualitative project uses a case-study method to investigate the instruction in a trigonometry course and a physics course based on a different methodology and set of assumptions about student…
Physics Almost Saved the President! Electromagnetic Induction and the Assassination of James Garfield: A Teaching Opportunity in Introductory Physics

NASA Astrophysics Data System (ADS)

Overduin, James; Molloy, Dana; Selway, Jim

2014-03-01

Electromagnetic induction is probably one of the most challenging subjects for students in the introductory physics sequence, especially in algebra-based courses. Yet it is at the heart of many of the devices we rely on today. To help students grasp and retain the concept, we have put together a simple and dramatic classroom demonstration that combines sight and sound with a compelling personal story from U.S. history. Other classroom activities dealing with induction have been discussed in this journal, but we believe that this one will be especially likely to attract and retain student interest, particularly in courses geared toward medical, biological, and other non-physics majors.
Activities for Students: Biology as a Source for Algebra Equations--The Heart

ERIC Educational Resources Information Center

Horak, Virginia M.

2005-01-01

The high school course that integrated first year algebra with an introductory environmental biology/anatomy and physiology course, in order to solve algebra problems is discussed. Lessons and activities for the course were taken by identifying the areas where mathematics and biology content intervenes may help students understand biology concepts…
Alternative Delivery Systems for Introductory Algebra.

ERIC Educational Resources Information Center

Keating, John; And Others

Since 1988, Massachusetts' Massasoit Community College has offered two alternative introductory algebra courses for students receiving low scores on mathematics admission tests. One alternative course provides 5 hours of instruction per week, rather than the 3 hours per week in the traditional course, while the other segments the traditional…
Examining the Conceptual Organization of Students in an Integrated Algebra and Physical Science Class.

ERIC Educational Resources Information Center

Westbrook, Susan L.

1998-01-01

Compares the conceptual organization of students in an integrated algebra and physical science class (SAM 9) with that of students in a discipline-specific physical science class (PSO). Analysis of students' concept maps indicates that the SAM9 students used a greater number of procedural linkages to connect mathematics and science concepts than…
Conceptual Physical Education Course and College Freshmen's Physical Activity Patterns

ERIC Educational Resources Information Center

Shangguan, Rulan; Keating, Xiaofen Deng; Liu, Jingwen; Zhou, Ke; Clark, Langston; Leitner, Jessica

2017-01-01

Conceptual physical education (CPE) courses play a critical role in promoting physical activity (PA) among students in American higher education settings. To date, however, very limited knowledge is available about the effectiveness of such courses. Aims: The primary purpose of the study was to examine effects of a CPE course on altering freshmen…
Success in introductory college physics: The role of gender, high school preparation, and student learning perceptions

NASA Astrophysics Data System (ADS)

Chen, Jean Chi-Jen

Physics is fundamental for science, engineering, medicine, and for understanding many phenomena encountered in people's daily lives. The purpose of this study was to investigate the relationships between student success in college-level introductory physics courses and various educational and background characteristics. The primary variables of this study were gender, high school mathematics and science preparation, preference and perceptions of learning physics, and performance in introductory physics courses. Demographic characteristics considered were age, student grade level, parents' occupation and level of education, high school senior grade point average, and educational goals. A Survey of Learning Preference and Perceptions was developed to collect the information for this study. A total of 267 subjects enrolled in six introductory physics courses, four algebra-based and two calculus-based, participated in the study conducted during Spring Semester 2002. The findings from the algebra-based physics courses indicated that participant's educational goal, high school senior GPA, father's educational level, mother's educational level, and mother's occupation in the area of science, engineering, or computer technology were positively related to performance while participant age was negatively related. Biology preparation, mathematics preparation, and additional mathematics and science preparation in high school were also positively related to performance. The relationships between the primary variables and performance in calculus-based physics courses were limited to high school senior year GPA and high school physics preparation. Findings from all six courses indicated that participant's educational goal, high school senior GPA, father's educational level, and mother's occupation in the area of science, engineering, or computer technology, high school preparation in mathematics, biology, and the completion of additional mathematics and science courses were
Effects of California community college students' gender, self-efficacy, and attitudes and beliefs toward physics on conceptual understanding of Newtonian mechanics

NASA Astrophysics Data System (ADS)

Said, Asma

Despite the advances made in various fields, women are still considered as minorities in the fields of science and mathematics. There is a gender gap regarding women's participation and achievement in physics. Self-efficacy and attitudes and beliefs toward physics have been identified as predictors of students' performance on conceptual surveys in physics courses. The present study, which used two-way analysis of variance and multiple linear regression analyses at a community college in California, revealed there is no gender gap in achievement between male and female students in physics courses. Furthermore, there is an achievement gap between students who are enrolled in algebra-based and calculus-based physics courses. The findings indicate that attitudes and beliefs scores can be used as predictors of students' performance on conceptual surveys in physics courses. However, scores of self-efficacy cannot be used as predictors of students' performance on conceptual surveys in physics courses.
School and District Policies and Strategies That Impact Student Performance on the Missouri End-of-Course Algebra 1 NCLB Assessment

ERIC Educational Resources Information Center

Nevels, Nevels

2012-01-01

The dissertation study reported here describes various policies and strategies used by school districts that impact student performance on the Missouri Algebra 1 End-of- Course (EOC) assessment. Analysis of state testing data, teacher survey data, and interview data were used to describe policies and strategies used by 42 teachers and…
Innovative Training of In-service Teachers for Active Learning: A Short Teacher Development Course Based on Physics Education Research

NASA Astrophysics Data System (ADS)

Zavala, Genaro; Alarcón, Hugo; Benegas, Julio

2007-08-01

In this contribution we describe a short development course for in-service physics teachers. The course structure and materials are based on the results of educational research, and its main objective is to provide in-service teachers with a first contact with the active learning strategy “Tutorials in Introductory Physics,” developed by the Physics Education Research Group at the University of Washington. The course was organized in a constructivist, active learning environment, so that teachers have first to experience, as regular students, the whole Tutorial sequence of activities: Tutorial pre-test, Tutorial, and Tutorial Homework. After each Tutorial, teachers reflect on, and recognize their own students’ learning difficulties, discussing their teaching experiences with their colleagues in small collaborative groups first and the whole class later. Finally they read and discuss specific Physics Education Research literature, where these learning difficulties have been extensively studied by researchers. At the beginning and at the end of the course the participants were given the conceptual multiple-choice test Force Concept Inventory (FCI). The pre-/post-instruction FCI data were presented as a practical example of the use of a research-based test widely used in educational research and in formative assessment processes designed to improve instruction.
Mathematical Modelling in Engineering: An Alternative Way to Teach Linear Algebra

ERIC Educational Resources Information Center

Domínguez-García, S.; García-Planas, M. I.; Taberna, J.

2016-01-01

Technological advances require that basic science courses for engineering, including Linear Algebra, emphasize the development of mathematical strengths associated with modelling and interpretation of results, which are not limited only to calculus abilities. Based on this consideration, we have proposed a project-based learning, giving a dynamic…
Cognitive development in introductory physics: A research-based approach to curriculum reform

NASA Astrophysics Data System (ADS)

Teodorescu, Raluca Elena

This project describes the research on a classification of physics problems in the context of introductory physics courses. This classification, called the Taxonomy of Introductory Physics Problems (TIPP), relates physics problems to the cognitive processes required to solve them. TIPP was created for designing and clarifying educational objectives, for developing assessments that can evaluate individual component processes of the problem-solving process, and for guiding curriculum design in introductory physics courses, specifically within the context of a "thinking-skills" curriculum. TIPP relies on the following resources: (1) cognitive research findings adopted by physics education research, (2) expert-novice research discoveries acknowledged by physics education research, (3) an educational psychology taxonomy for educational objectives, and (4) various collections of physics problems created by physics education researchers or developed by textbook authors. TIPP was used in the years 2006--2008 to reform the first semester of the introductory algebra-based physics course (called Phys 11) at The George Washington University. The reform sought to transform our curriculum into a "thinking-skills" curriculum that trades "breadth for depth" by focusing on fewer topics while targeting the students' cognitive development. We employed existing research on the physics problem-solving expert-novice behavior, cognitive science and behavioral science findings, and educational psychology recommendations. Our pedagogy relies on didactic constructs such as the GW-ACCESS problem-solving protocol, learning progressions and concept maps that we have developed and implemented in our introductory physics course. These tools were designed based on TIPP. Their purpose is: (1) to help students build local and global coherent knowledge structures, (2) to develop more context-independent problem-solving abilities, (3) to gain confidence in problem solving, and (4) to establish
Constructive Learning in Undergraduate Linear Algebra

ERIC Educational Resources Information Center

Chandler, Farrah Jackson; Taylor, Dewey T.

2008-01-01

In this article we describe a project that we used in our undergraduate linear algebra courses to help our students successfully master fundamental concepts and definitions and generate interest in the course. We describe our philosophy and discuss the projects overall success.
Promoting Success in the Physical Sciences: The University of Wisconsin's Physics Learning Program

NASA Astrophysics Data System (ADS)

Nossal, S. M.; Jacob, A. T.

2002-05-01

The Physics Learning Program at the University of Wisconsin-Madison provides small group, academic and mentoring support for students enrolled in algebra-based introductory physics courses. Those students accepted into our program are potentially at-risk academically in their physics course or for feeling isolated at the University. They include, among others, students who have not taken high school physics, returning adults, minority students, students with disabilities, and students with English as a second language. A core component of the program is the peer-lead teaching and mentoring groups that match upper level undergraduate physics majors with students potentially at-risk in introductory physics. The tutors receive ongoing training and supervision throughout the year. The program has expanded over the years to include staff tutors, the majority of whom are scientists who seek additional teaching experience. The Physics Peer Mentor Tutor Program is run in collaboration with a similar chemistry program at the University of Wisconsin's Chemistry Learning Center. We will describe our Physics Learning Programs and discuss some of the challenges, successes, and strategies used to work with our tutors and students.
Generalized Quantum Field Theory Based on a Nonlinear Deformed Heisenberg Algebra

NASA Astrophysics Data System (ADS)

Ribeiro-Silva, C. I.; Oliveira-Neto, N. M.

We consider a quantum field theory based on a nonlinear Heisenberg algebra which describes phenomenologically a composite particle. Perturbative computation, considering the λϕ4 interaction was done and we also performed some comparison with a quantum field theory based on the q-oscillator algebra.
Adventures in Flipping College Algebra

ERIC Educational Resources Information Center

Van Sickle, Jenna

2015-01-01

This paper outlines the experience of a university professor who implemented flipped learning in two sections of college algebra courses for two semesters. It details how the courses were flipped, what technology was used, advantages, challenges, and results. It explains what students do outside of class, what they do inside class, and discusses…

Learning to Apply Algebra in the Community for Adults With Intellectual Developmental Disabilities.

PubMed

Rodriguez, Anthony M

2016-02-01

Students with intellectual and developmental disabilities (IDD) are routinely excluded from algebra and other high-level mathematics courses. High school students with IDD take courses in arithmetic and life skills rather than having an opportunity to learn algebra. Yet algebra skills can support the learning of money and budgeting skills. This study explores the feasibility of algebra instruction for adults with IDD through an experimental curriculum. Ten individuals with IDD participated in a 6-week course framing mathematics concepts within the context of everyday challenges in handling money. The article explores classroom techniques, discusses student strategies, and proposes possible avenues for future research analyzing mathematics instructional design strategies for individuals with IDD.
Harvard Project Physics Newsletter 10. The Project Physics Course, Text.

ERIC Educational Resources Information Center

Harvard Univ., Cambridge, MA. Harvard Project Physics.

A short description of the availability of Harvard Project Physics course components is given as is a discussion of the growth of the use of Project Physics in schools, including some enrollment data and survey results. Locations of the 1970 and 1971 Summer Institutes are listed. Adaptations of Project Physics course outside the United States are…
Web-Based vs. Paper-Based Homework to Evaluate Students' Performance in Introductory Physics Courses and Students' Perceptions: Two Years Experience

ERIC Educational Resources Information Center

Demirci, Neset

2010-01-01

The main aim of this study was to assess and compare undergraduate students' homework performance using a web-based testing system with paper-based, hand-graded one in introductory physics courses. Students' perceptions about each method were then investigated. Every semester during the two-year period, one of the two identical sections of…
Design of multiple representations e-learning resources based on a contextual approach for the basic physics course

NASA Astrophysics Data System (ADS)

Bakri, F.; Muliyati, D.

2018-05-01

This research aims to design e-learning resources with multiple representations based on a contextual approach for the Basic Physics Course. The research uses the research and development methods accordance Dick & Carey strategy. The development carried out in the digital laboratory of Physics Education Department, Mathematics and Science Faculty, Universitas Negeri Jakarta. The result of the process of product development with Dick & Carey strategy, have produced e-learning design of the Basic Physics Course is presented in multiple representations in contextual learning syntax. The appropriate of representation used in the design of learning basic physics include: concept map, video, figures, data tables of experiment results, charts of data tables, the verbal explanations, mathematical equations, problem and solutions example, and exercise. Multiple representations are presented in the form of contextual learning by stages: relating, experiencing, applying, transferring, and cooperating.
Patterns of Incorrect Responses on the FCI and Course Success

NASA Astrophysics Data System (ADS)

Wells, James; Mokaya, Fridah; Valente, Diego

The Force Concept Inventory (FCI) is often used to measure the effectiveness of instructional pedagogy in introductory physics courses both at the algebra- and calculus-based level. Scores on the FCI are correlated with the performance of students in a class, as measured by their final course grade. We have collected data from several semesters of first-semester introductory mechanics courses at a public 4-year university, taught in large-scale classrooms with pedagogy including elements of Just-in-Time Teaching pedagogy along with active learning course components. The data collected includes pre- and post-test FCI scores, midterm exam grades, and final course grades. We examine whether certain patterns of incorrect answers on the FCI post-test are predictive of course grades, indicating whether certain specific student preconceptions are more detrimental than others to the success of students in an introductory mechanics course. Funding from UConn - College of Liberal Arts and Sciences (CLAS).
The Teaching Effectiveness of a Relevant Physics Course

NASA Astrophysics Data System (ADS)

Hobson, Art

1998-04-01

If America is to achieve the science literacy that is ssential to industrialized democracy, all students must study such topics as scientific methodology, pseudoscience, critical thinking, ozone depletion, technological risk, and global warming. My large-enrollment liberal-arts physics course covers the great principles of physics along with several such philosophical and societal topics. Students find these topics relevant and fascinating, leading to strong course evaluations and large enrollments by non-scientists even in courses labeled physics. I will describe this course and present some evidence indicating that the course is effective in communicating physics and its interdisciplinary connections. A textbook, Physics: Concepts and Connections (Prentice Hall, 1995, 2nd edition to appear in June 1998), is available.
A qualitative study comparing the instruction on vectors between a physics course and a trigonometry course

NASA Astrophysics Data System (ADS)

James, Wendy Michelle

Science and engineering instructors often observe that students have difficulty using or applying prerequisite mathematics knowledge in their courses. This qualitative project uses a case-study method to investigate the instruction in a trigonometry course and a physics course based on a different methodology and set of assumptions about student learning and the nature of mathematics than traditionally used when investigating students' difficulty using or applying prerequisite mathematics knowledge. Transfer theory examined within a positivist or post-positivist paradigm is often used to investigate students' issue applying their knowledge; in contrast, this qualitative case-study is positioned using constructionism as an epistemology to understand and describe mathematical practices concerning vectors in a trigonometry and a physics course. Instructor interviews, observations of course lectures, and textbooks served as the qualitative data for in-depth study and comparison, and Saussure's (1959) concept of signifier and signified provided a lens for examining the data during analysis. Multiple recursions of within-case comparisons and across-case comparison were analyzed for differences in what the instructors and textbooks explicitly stated and later performed as their practices. While the trigonometry and physics instruction differed slightly, the two main differences occurred in the nature and use of vectors in the physics course. First, the "what" that is signified in notation and diagrams differs between contextualized and context-free situations, and second, physics instruction taught vectors very similar to trigonometry instruction when teaching the mathematics for doing physics, but once instruction focused on physics, the manner in which vector notation and diagrams are used differed from what is explicitly stated during mathematics instruction.
Labatorials in introductory physics courses

NASA Astrophysics Data System (ADS)

Sobhanzadeh, Mandana; Kalman, Calvin S.; Thompson, R. I.

2017-11-01

Traditional lab sections in introductory physics courses at Mount Royal University were replaced by a new style of lab called ‘labatorials’ developed by the Physics Education Development Group at the University of Calgary. Using labatorials in introductory physics courses has lowered student anxiety and strengthened student engagement in lab sessions. Labatorials provide instant feedback to the students and instructors. Interviews with students who had completed Introductory Physics labatorials as well as the anonymous comments left by them showed that labatorials have improved student satisfaction. Students improved their understanding of concepts compared to students who had taken traditional labs in earlier years. Moreover a combination of labatorials and reflective writing can promote positive change in students’ epistemological beliefs.
Linear Algebra and the Experiences of a "Flipper"

ERIC Educational Resources Information Center

Wright, Sarah E.

2015-01-01

This paper describes the linear algebra class I taught during Spring 2014 semester at Adelphi University. I discuss the details of how I flipped the class and incorporated elements of inquiry-based learning as well as the reasoning behind specific decisions I made. I give feedback from the students on the success of the course and provide my own…
Calif. Laws Shift Gears on Algebra, Textbooks

ERIC Educational Resources Information Center

Robelen, Erik W.

2012-01-01

New laws in California have set the state on a course for some potentially significant changes to the curriculum, including a measure that revisits the matter of teaching Algebra 1 in 8th grade and another that revamps the state's textbook-adoption process and hands districts greater leeway in choosing instructional materials. The algebra-related…
Algebra 2u, Mathematics (Experimental): 5216.26.

ERIC Educational Resources Information Center

Crawford, Glenda

The sixth in a series of six guidebooks on minimum course content for second-year algebra, this booklet presents an introduction to sequences, series, permutation, combinations, and probability. Included are arithmetic and geometric progressions and problems solved by counting and factorials. Overall course goals are specified, a course outline is…
Journal Writing: Enlivening Elementary Linear Algebra.

ERIC Educational Resources Information Center

Meel, David E.

1999-01-01

Examines the various issues surrounding the implementation of journal writing in an undergraduate linear algebra course. Identifies the benefits of incorporating journal writing into an undergraduate mathematics course, which are supported with students' comments from their journals and their reflections on the process. Contains 14 references.…
Emphasizing language and visualization in teaching linear algebra

NASA Astrophysics Data System (ADS)

Hannah, John; Stewart, Sepideh; Thomas, Mike

2013-06-01

Linear algebra with its rich theoretical nature is a first step towards advanced mathematical thinking for many undergraduate students. In this paper, we consider the teaching approach of an experienced mathematician as he attempts to engage his students with the key ideas embedded in a second-year course in linear algebra. We describe his approach in both lectures and tutorials, and how he employed visualization and an emphasis on language to encourage conceptual thinking. We use Tall's framework of three worlds of mathematical thinking to reflect on the effect of these activities in students' learning. An analysis of students' attitudes to the course and their test and examination results help to answer questions about the value of such an approach, suggesting ways forward in teaching linear algebra.
Using Linguistics in the Teaching of Developmental and Remedial Algebra.

ERIC Educational Resources Information Center

Lesnak, Richard J.

Basic algebra at Robert Morris College (RMC) in Pittsburgh, Pennsylvania, is a remedial course for students with virtually no algebra background, and for students whose previous experiences with algebra have created math blocks and math anxiety. A study was conducted in an effort to measure quantitatively the benefits of using linguistic methods…
Teachers' Beliefs about Improving Transfer of Algebraic Skills from Mathematics into Physics in Senior Pre-University Education

ERIC Educational Resources Information Center

Tursucu, Süleyman; Spandaw, Jeroen; Flipse, Steven; de Vries, Marc J.

2017-01-01

Students in senior pre-university education encounter difficulties in the application of mathematics into physics. This paper presents the outcome of an explorative qualitative study of teachers' beliefs about improving the transfer of algebraic skills from mathematics into physics. We interviewed 10 mathematics and 10 physics teachers using a…
Linking Computer Algebra Systems and Paper-and-Pencil Techniques To Support the Teaching of Mathematics.

ERIC Educational Resources Information Center

van Herwaarden, Onno A.; Gielen, Joseph L. W.

2002-01-01

Focuses on students showing a lack of conceptual insight while using computer algebra systems (CAS) in the setting of an elementary calculus and linear algebra course for first year university students in social sciences. The use of a computer algebra environment has been incorporated into a more traditional course but with special attention on…
Arithmetic Circuit Verification Based on Symbolic Computer Algebra

NASA Astrophysics Data System (ADS)

Watanabe, Yuki; Homma, Naofumi; Aoki, Takafumi; Higuchi, Tatsuo

This paper presents a formal approach to verify arithmetic circuits using symbolic computer algebra. Our method describes arithmetic circuits directly with high-level mathematical objects based on weighted number systems and arithmetic formulae. Such circuit description can be effectively verified by polynomial reduction techniques using Gröbner Bases. In this paper, we describe how the symbolic computer algebra can be used to describe and verify arithmetic circuits. The advantageous effects of the proposed approach are demonstrated through experimental verification of some arithmetic circuits such as multiply-accumulator and FIR filter. The result shows that the proposed approach has a definite possibility of verifying practical arithmetic circuits.
A Quantitative Study Analyzing Predictive Factors That Affect Achievement on Florida's Algebra I End-of-Course Exam (EOC)

ERIC Educational Resources Information Center

Holley, Hope D.

2017-01-01

Despite research that high-stakes tests do not improve knowledge, Florida requires students to pass an Algebra I End-of-Course exam (EOC) to earn a high school diploma. Test passing scores are determined by a raw score to t-score to scale score analysis. This method ultimately results as a comparative test model where students' passage is…
Teaching Basic Algebra Courses at the College Level

ERIC Educational Resources Information Center

Mallenby, Michel L.; Mallenby, Douglas W.

2004-01-01

Three dysfunctional behaviors of basic algebra students are described: Silence as Camouflage, Wing and a Prayer, and Ignorance is OK. These behavior patterns are explained, and beneficial teaching methods that address the weaknesses are presented.
Student Reactions to Learning Theory Based Curriculum Materials in Linear Algebra--A Survey Analysis

ERIC Educational Resources Information Center

Cooley, Laurel; Vidakovic, Draga; Martin, William O.; Dexter, Scott; Suzuki, Jeff

2016-01-01

In this report we examine students' perceptions of the implementation of carefully designed curriculum materials (called modules) in linear algebra courses at three different universities. The curricular materials were produced collaboratively by STEM and mathematics education faculty as members of a professional learning community (PLC) over…

USE OF TRANS-CONTEXTUAL MODEL-BASED PHYSICAL ACTIVITY COURSE IN DEVELOPING LEISURE-TIME PHYSICAL ACTIVITY BEHAVIOR OF UNIVERSITY STUDENTS.

PubMed

Müftüler, Mine; İnce, Mustafa Levent

2015-08-01

This study examined how a physical activity course based on the Trans-Contextual Model affected the variables of perceived autonomy support, autonomous motivation, determinants of leisure-time physical activity behavior, basic psychological needs satisfaction, and leisure-time physical activity behaviors. The participants were 70 Turkish university students (M age=23.3 yr., SD=3.2). A pre-test-post-test control group design was constructed. Initially, the participants were randomly assigned into an experimental (n=35) and a control (n=35) group. The experimental group followed a 12 wk. trans-contextual model-based intervention. The participants were pre- and post-tested in terms of Trans-Contextual Model constructs and of self-reported leisure-time physical activity behaviors. Multivariate analyses showed significant increases over the 12 wk. period for perceived autonomy support from instructor and peers, autonomous motivation in leisure-time physical activity setting, positive intention and perceived behavioral control over leisure-time physical activity behavior, more fulfillment of psychological needs, and more engagement in leisure-time physical activity behavior in the experimental group. These results indicated that the intervention was effective in developing leisure-time physical activity and indicated that the Trans-Contextual Model is a useful way to conceptualize these relationships.
Student Self-Efficacy in Introductory Project-Based Learning Courses

NASA Astrophysics Data System (ADS)

Pleiss, Geoffrey; Zastavker, Yevgeniya V.

2012-02-01

This study investigates first-year engineering students' self-efficacy in two introductory Project-Based Learning (PjBL) courses -- Physics (Mechanics) Laboratory and Engineering Design -- taught at a small technical institution. Twelve students participated in semi-structured open-ended interviews about their experiences in both courses. Analysis was performed using grounded theory. Results indicate that students had lower self-efficacy in Physics Lab than in Engineering Design. In Physics Lab, students reported high levels of faculty-supported scaffolding related to final project deliverables, which in turn established perceptions of an outcome-based course emphasis. Conversely, in Engineering Design, students observed high levels of scaffolding related to the intermediate project deliverables, highlighting process-centered aspects of the course. Our analyses indicate that this difference in student perceptions of course emphases -- resulting from the differences in scaffolding -- is a primary factor for the discrepancy in self-efficacy between Physics Lab and Engineering Design. Future work will examine how other variables (e.g., academic background, perception of community, gender) affect students' self-efficacy and perception of scaffolding in these PjBL courses.
Peer 2 Peer: Efficacy of a Course-Based Peer Education Intervention to Increase Physical Activity among College Students

ERIC Educational Resources Information Center

Boyle, Jennifer; Mattern, Craig O.; Lassiter, Jill W.; Ritzler, Julia A.

2011-01-01

There are few physical activity (PA) interventions in higher education, and they have been only minimally effective. Objective: To determine if a course-based, peer education intervention was associated with increases in PA and physical fitness. Participants: Participants were 178 students enrolled in a personal health class during the 2007-2008…
Mathematical Modelling in Engineering: A Proposal to Introduce Linear Algebra Concepts

ERIC Educational Resources Information Center

Cárcamo Bahamonde, Andrea; Gómez Urgelles, Joan; Fortuny Aymemí, Josep

2016-01-01

The modern dynamic world requires that basic science courses for engineering, including linear algebra, emphasise the development of mathematical abilities primarily associated with modelling and interpreting, which are not exclusively calculus abilities. Considering this, an instructional design was created based on mathematical modelling and…
Developing Web-Oriented Homework System to Assess Students' Introductory Physics Course Performance and Compare to Paper-Based Peer Homework

ERIC Educational Resources Information Center

Demirci, Neset

2006-01-01

The World Wide Web influences education and our lives in many ways. Nowadays, Web-based homework has been becoming widespread practice in physics courses and some other courses as well. Although are some disputes whether this is an encouraging or risky development for student learning, there is limited research assessing the pedagogical effect of…
Distance Learning Courses and Master of Arts in Physics Education

NASA Astrophysics Data System (ADS)

Lindgren, Richard; Thornton, Stephen

2006-11-01

More than twenty distance learning courses in physics have been taken by hundreds of High School Physics Teachers over the past 7 years. The success of these courses helped initiate our 30 credit Master of Arts in Physics Education degree program. We have graduated 28 teachers over the last 6 years and expect 13 more to graduate in 2006. The candidates earn 14 credits in residence at the University of Virginia and 16 credits online. This allows teachers to matriculate, while earning more than half the credits at home. Presently, there are over 50 Master degree candidates. Three of the five online courses utilize CD-ROMS with edited lectures of live Physics courses taught at the University of Virginia by Physics Professors recognized for their teaching. Homework and examinations are submitted using WebAssign. Local high school teachers and administrators proctor the examinations. General communication and pedagogical feedback on homework assignments and exams are submitted through Blackboard as well as email. Screen captured video shots of physics demonstrations are widely used in the audio chat room to facilitate discussion and also used on examinations. We will discuss the changes of our distance-learning model based on what has worked (or not) and new technology.
Making Sense of Abstract Algebra: Exploring Secondary Teachers' Understandings of Inverse Functions in Relation to Its Group Structure

ERIC Educational Resources Information Center

Wasserman, Nicholas H.

2017-01-01

This article draws on semi-structured, task-based interviews to explore secondary teachers' (N = 7) understandings of inverse functions in relation to abstract algebra. In particular, a concept map task is used to understand the degree to which participants, having recently taken an abstract algebra course, situated inverse functions within its…
Early Integration of Tutorial Support in Beginning Algebra

ERIC Educational Resources Information Center

Copus, Colleen; McKinney, Betsy

2016-01-01

Anecdotal observations reveal that most students with strong arithmetic skills will succeed in the Beginning Algebra course even if they have no previous experience with algebra. In trying to quantify this with an initial teacher-created survey of arithmetic skills, it was observed, for three consecutive semesters, that students who scored in the…
Math 3007--Developmental Mathematics I. Course Outline.

ERIC Educational Resources Information Center

New York Inst. of Tech., Old Westbury.

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This course is designed as the first of a two-semester sequence. Topics include operations with signed numbers; simple operations on monomials and…
In-Service Physical Educators' Experiences of Online Adapted Physical Education Endorsement Courses.

PubMed

Sato, Takahiro; Haegele, Justin A; Foot, Rachel

2017-04-01

The purpose of this study was to investigate in-service physical education (PE) teachers' experiences during online adapted physical education (APE) graduate courses. Based on andragogy theory (adult learning theory) we employed a descriptive qualitative methodology using an explanatory case study design. The participants (6 female and 3 male) were in-service PE teachers enrolled in an online graduate APE endorsement program. Data collection included journal reflection reports and face-to-face interviews. A constant comparative method was used to interpret the data. Three interrelated themes emerged from the participants' narratives. The first theme, instructor communication, exposes the advantages and disadvantages the participants perceived regarding communication while enrolled in the online APE graduate courses. The second theme, bulletin board discussion experiences, described participants' perceptions of the use of the bulletin board discussion forum. Lastly, the final theme, assessment experiences, described how the participants learned knowledge and skills through online courses related to assessment and evaluation.
A case study of successful e-learning: a web-based distance course in medical physics held for school teachers of the upper secondary level.

PubMed

Jönsson, Bo-Anders

2005-09-01

Learning activities and course design in the new context of e-learning, such as in web-based courses involves a change both for teachers and students. The paper discusses factors important for e-learning to be successful. The development of an online course in medical physics and technology for high school teachers of physics, details of the course, and experience gained in connection with it are described. The course syllabus includes basics of radiation physics, imaging techniques using ionizing or non-ionizing radiation, and external and internal radiation therapy. The course has a highly didactic approach. The final task is for participants to design a course of their own centered on some topic of medical physics on the basis of the knowledge they have acquired. The aim of the course is to help the teachers integrate medical physics into their own teaching. This is seen as enhancing the interest of high school students in later studying physics, medical physics or some other branch of science at the university level, and as increasing the knowledge that they and people generally have of science. It is suggested that the basic approach taken can also have applicability to the training of medical, nursing or engineering students, and be used for continuing professional development in various areas.
Effects of Instructional Physical Activity Courses on Overall Physical Activity and Mood in University Students

ERIC Educational Resources Information Center

Annesi, James J.; Porter, Kandice J.; Hill, Grant M.; Goldfine, Bernard D.

2017-01-01

Purpose: The aim of this research was to assess the association between university-based instructional physical activity (PA) courses and changes in overall PA levels and negative mood and their interrelations. The study also sought to determine the amount of change in PA required to significantly improve mood in course enrollees. Method:…
Emphasizing Language and Visualization in Teaching Linear Algebra

ERIC Educational Resources Information Center

Hannah, John; Stewart, Sepideh; Thomas, Mike

2013-01-01

Linear algebra with its rich theoretical nature is a first step towards advanced mathematical thinking for many undergraduate students. In this paper, we consider the teaching approach of an experienced mathematician as he attempts to engage his students with the key ideas embedded in a second-year course in linear algebra. We describe his…
A course in tools and procedures for Physics I

NASA Astrophysics Data System (ADS)

Allie, Saalih; Buffler, Andy

1998-07-01

A one-semester course covering the tools, skills, and procedures that are required to engage meaningfully with first-year university physics is described. The course forms part of the Science Foundation Programme at the University of Cape Town which was set up to provide access to a science degree for students who have been educationally disadvantaged, part of the legacy of racial discrimination in South Africa. The course comprises three basic elements: a theoretical component, a laboratory-based experimental component, and a communication skills component. The theory component consists of the various mathematical techniques used in a calculus-based Physics I course, grouped into cognate areas so that each technique is presented immediately in the full range of contexts that will be encountered later on. Part of the theory component involves written explanations of the mathematical formalism. The focus of the communication skills component is on report writing which follows as a natural consequence of the laboratory tasks which have been restructured as problems necessitating an experimental investigation. The implementation of cooperative tutorial groups, which forms an integral part of the learning environment, is also discussed.
Hearing Math: Algebra Supported eText for Students With Visual Impairments.

PubMed

Bouck, Emily C; Weng, Pei-Lin

2014-01-01

Supported eText for students with visual impairments in mathematics has a promising, emerging literature base, although little of the existing research focuses on implementation within a classroom setting. This qualitative study sought to understand the use of supported eText to deliver algebra to students with visual impairments enrolled in algebra mathematics courses. The study also sought to explore supported eText in contrast to students' traditional means of accessing an algebra text. The main results suggest supported eText holds potential in terms of delivering mathematics content; however, more research and more reflection on the field is needed regarding this approach as a sole means of presenting text. Implications for teacher professional development and implementation practices are discussed.
Math 3013--Developmental Mathematics I and II. Course Outline.

ERIC Educational Resources Information Center

New York Inst. of Tech., Old Westbury.

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course that requires some previous knowledge of algebra and the ability to work at a rapid pace. Topics include the basic operations with signed integers; fractions; decimals; literal expressions; algebraic fractions; radicals;…
Coherent Teaching and Need-Based Learning in Science: An Approach to Teach Engineering Students in Basic Physics Courses

ERIC Educational Resources Information Center

Kurki-Suonio, T.; Hakola, A.

2007-01-01

In the present paper, we propose an alternative, based on constructivism, to the conventional way of teaching basic physics courses at the university level. We call this approach "coherent teaching" and the underlying philosophy of teaching science and engineering "need-based learning". We have been applying this philosophy in…
Designing for Enhanced Conceptual Understanding in an Online Physics Course

ERIC Educational Resources Information Center

Dunlap, Joanna C.; Furtak, Thomas E.; Tucker, Susan A.

2009-01-01

The calculus-based, introductory physics course is the port of entry for any student interested in pursuing a college degree in the sciences, mathematics, or engineering. There is increasing demand for online delivery options that make the course more widely available, especially those that use best practices in student engagement. However,…
Success of students in a college physics course with and without experiencing a high school course

NASA Astrophysics Data System (ADS)

Yager, Robert E.; Krajcik, Joseph S.

High school students with high ability were enrolled in a standard college physics course for each of two summers with the same professor, same course outline, same textbook, same laboratories, and the same examinations. Half of each group had completed a high school physics course; half had not. Dormitory counselors were available for assistance and support. In addition, tutors were available in the laboratories to provide any help necessary with interpretation of lectures and performances in the laboratory, and with mathematical computation. Pre- and posttest measures concerning course content and attitude were given. After the eight-week summer instruction, the students who had not completed high school physics performed as well on the final course examination; there were no differences with respect to course grade or attitude toward physics. The group that had not completed high school physics used the tutors provided far more frequently than did students who had completed the high school course. When high-ability students are enrolled in college physics with tutors made available for needed assistance, there appears to be no advantage for students to complete the standard high school physics course.
Investigating Students' Reflective Thinking in the Introductory Physics Course

NASA Astrophysics Data System (ADS)

Boudreaux, Andrew

2010-10-01

Over the past 30 years, physics education research has guided the development of instructional strategies that can significantly enhance students' functional understanding of concepts in introductory physics. Recently, attention has shifted to instructional goals that, while widely shared by teachers of physics, are often more implicit than explicit in our courses. These goals involve the expectations and attitudes that students have about what it means to learn and understand physics, together with the behaviors and actions students think they should engage in to accomplish this learning. Research has shown that these ``hidden'' elements of the curriculum are remarkably resistant to instruction. In fact, traditional physics courses tend to produce movement away from expert-like behaviors. At Western Washington University, we are exploring ways of promoting metacognition, an aspect of the hidden curriculum that involves the conscious monitoring of one's own thinking and learning. We have found that making this reflective thinking an explicit part of the course may not be enough: adequate framing and scaffolding may be necessary for students to meaningfully engage in metacognition. We have thus taken the basic approach of developing metacognition, like conceptual understanding, through guided inquiry. During our teaching experiments, we have collected written and video data, with twin goals of guiding iterative modifications to the instruction as well as contributing to the knowledge base about student metacognition in introductory physics. This talk will provide examples of metacognition activities from course assignments and labs, and will present written data to assess the effectiveness of instruction and to illustrate specific modes of students' reflective thinking.

Curriculum Guide for Baccalaureate Oriented Courses in Mathematics.

ERIC Educational Resources Information Center

Darnes, G. Robert, Ed.

A mathematics curriculum guide is presented for the purpose of offering statewide guidelines to colleges for determining the content of those courses which might be considered standard courses in the first two years of the college curriculum. Courses covered include: intermediate algebra, college algebra, trigonometry, analytic geometry,…
From F = ma to Flying Squirrels: Curricular Change in an Introductory Physics Course

PubMed Central

O’Shea, Brian; Terry, Laura; Benenson, Walter

2013-01-01

We present outcomes from curricular changes made to an introductory calculus-based physics course whose audience is primarily life sciences majors, the majority of whom plan to pursue postbaccalaureate studies in medical and scientific fields. During the 2011–2012 academic year, we implemented a Physics of the Life Sciences curriculum centered on a draft textbook that takes a novel approach to teaching physics to life sciences majors. In addition, substantial revisions were made to the homework and hands-on components of the course to emphasize the relationship between physics and the life sciences and to help the students learn to apply physical intuition to life sciences–oriented problems. Student learning and attitudinal outcomes were assessed both quantitatively, using standard physics education research instruments, and qualitatively, using student surveys and a series of postsemester interviews. Students experienced high conceptual learning gains, comparable to other active learning–based physics courses. Qualitatively, a substantial fraction of interviewed students reported an increased interest in physics relative to the beginning of the semester. Furthermore, more than half of students self-reported that they could now relate physics topics to their majors and future careers, with interviewed subjects demonstrating a high level of ability to come up with examples of how physics affects living organisms and how it helped them to better understand content presented in courses in their major. PMID:23737630
From F = ma to flying squirrels: curricular change in an introductory physics course.

PubMed

O'Shea, Brian; Terry, Laura; Benenson, Walter

2013-06-01

We present outcomes from curricular changes made to an introductory calculus-based physics course whose audience is primarily life sciences majors, the majority of whom plan to pursue postbaccalaureate studies in medical and scientific fields. During the 2011-2012 academic year, we implemented a Physics of the Life Sciences curriculum centered on a draft textbook that takes a novel approach to teaching physics to life sciences majors. In addition, substantial revisions were made to the homework and hands-on components of the course to emphasize the relationship between physics and the life sciences and to help the students learn to apply physical intuition to life sciences-oriented problems. Student learning and attitudinal outcomes were assessed both quantitatively, using standard physics education research instruments, and qualitatively, using student surveys and a series of postsemester interviews. Students experienced high conceptual learning gains, comparable to other active learning-based physics courses. Qualitatively, a substantial fraction of interviewed students reported an increased interest in physics relative to the beginning of the semester. Furthermore, more than half of students self-reported that they could now relate physics topics to their majors and future careers, with interviewed subjects demonstrating a high level of ability to come up with examples of how physics affects living organisms and how it helped them to better understand content presented in courses in their major.
A community-based, interdisciplinary rehabilitation engineering course.

PubMed

Lundy, Mary; Aceros, Juan

2016-08-01

A novel, community-based course was created through collaboration between the School of Engineering and the Physical Therapy program at the University of North Florida. This course offers a hands-on, interdisciplinary training experience for undergraduate engineering students through team-based design projects where engineering students are partnered with physical therapy students. Students learn the process of design, fabrication and testing of low-tech and high-tech rehabilitation technology for children with disabilities, and are exposed to a clinical experience under the guidance of licensed therapists. This course was taught in two consecutive years and pre-test/post-test data evaluating the impact of this interprofessional education experience on the students is presented using the Public Service Motivation Scale, Civic Actions Scale, Civic Attitudes Scale, and the Interprofessional Socialization and Valuing Scale.
Initial experience with a calculus-based IPLS course at Vanderbilt

NASA Astrophysics Data System (ADS)

Hutson, M. Shane; Rericha, Erin C.

2014-03-01

By implementing research results from the PER community, we have designed a new calculus-based IPLS course and began teaching two sections of this course in Fall 2013, both taught by biological physicists. This course differs from Vanderbilt's other introductory physics offerings in two major ways. First, it seeks to implement PER-based active learning strategies including just-in-time teaching, peer instruction and context-rich problems. The latter are specifically designed within biomedical contexts. Second, the course content has been chosen to closely align with the core competencies delineated in the HHMI-AAMC report Scientific Foundations for Future Physicians. We provide students with a very explicit accounting (in the syllabus) of how this course will contribute to 5 of the 8 SFFP-competencies and 21 of its 37 learning objectives. Throughout the course and associated labs, we make repeated, explicit and hopefully authentic connections between physics and the life sciences. The chosen text reinforces our approach through well-developed biomedical applications of physics concepts. We will report what we've seen work and not work in our first implementation of an IPLS course and detail results regarding student learning and student attitudes towards physics.
Inverse Modelling Problems in Linear Algebra Undergraduate Courses

ERIC Educational Resources Information Center

Martinez-Luaces, Victor E.

2013-01-01

This paper will offer an analysis from a theoretical point of view of mathematical modelling, applications and inverse problems of both causation and specification types. Inverse modelling problems give the opportunity to establish connections between theory and practice and to show this fact, a simple linear algebra example in two different…
Basic Guidelines to Introduce Electric Circuit Simulation Software in a General Physics Course

ERIC Educational Resources Information Center

Moya, A. A.

2018-01-01

The introduction of electric circuit simulation software for undergraduate students in a general physics course is proposed in order to contribute to the constructive learning of electric circuit theory. This work focuses on the lab exercises based on dc, transient and ac analysis in electric circuits found in introductory physics courses, and…
Resources for Teaching Linear Algebra. MAA Notes Volume 42.

ERIC Educational Resources Information Center

Carlson, David, Ed.; And Others

This book takes the position that the teaching of elementary linear algebra can be made more effective by emphasizing applications, exposition, and pedagogy. It includes the recommendations of the Linear Algebra Curriculum Study Group with their core syllabus for the first course, and the thoughts of mathematics faculty who have taught linear…
Flipping College Algebra: Effects on Student Engagement and Achievement

ERIC Educational Resources Information Center

Ichinose, Cherie; Clinkenbeard, Jennifer

2016-01-01

This study compared student engagement and achievement levels between students enrolled in a traditional college algebra lecture course and students enrolled in a "flipped" course. Results showed that students in the flipped class had consistently higher levels of achievement throughout the course than did students in the traditional…
An Appropriate Culminating Mathematics Course.

ERIC Educational Resources Information Center

Haver, Bill; Turbeville, Gwen

1995-01-01

Describes a freshman level mathematics course designed as an alternate to algebra for non-science majors. Mathematical content is based on real-world situations, student activities include small and large projects done in groups or individually, and lecture time is held to a minimum. (MKR)
Students' Views About Potentially Offering Physics Courses Online

NASA Astrophysics Data System (ADS)

Ramlo, Susan E.

2016-06-01

Nationally, many public universities have started to move into the online course and program market that is most often associated with for-profit institutions of higher education. Administrators in public universities make statements regarding benefits to students' desire for flexibility and profit margins related to online courses. But do students attending a large public university want to take courses online especially science courses perceived to be difficult such as freshmen-level physics courses? This study took place at a large, public, Midwestern university and involved students enrolled in the first semester of a face-to-face, flipped physics course for engineering technology majors. Statements were collected from comments about online courses made by the university's administration and students in the course. Twenty students sorted 45 statements. Two student views emerged with one rejecting online courses in general and the other primarily rejecting online math, science, and technology courses, including physics. Students' descriptions of their previous online course experiences were used to inform the analyses and to assist in describing the two views that emerged in conjunction with the distinguishing statements. Consensus among the two views is also discussed. Overall, the results indicate a potential divergence between student views and what university administrators believe students want.
Investigating the Use of Mastery-Style Online Homework Exercises in Introductory Algebra-Based Mechanics in a Controlled Clinical Study

ERIC Educational Resources Information Center

Evans, William R.; Selen, Mats A.

2017-01-01

Homework in introductory physics represents an important part of a student's learning experience; therefore, choosing the manner in which homework is presented merits investigation. We performed three rounds of clinical trials comparing the effects of mastery-style homework vs. traditional-style homework with students in both algebra-based and…
Student Logical Implications and Connections between Symbolic Representations of a Linear System within the Context of an Introductory Linear Algebra Course Employing Inquiry-Oriented Teaching and Traditional Lecture

ERIC Educational Resources Information Center

Payton, Spencer D.

2017-01-01

This study aimed to explore how inquiry-oriented teaching could be implemented in an introductory linear algebra course that, due to various constraints, may not lend itself to inquiry-oriented teaching. In particular, the course in question has a traditionally large class size, limited amount of class time, and is often coordinated with other…
A Meta-Analysis of Algebra Interventions for Learners with Disabilities and Struggling Learners

ERIC Educational Resources Information Center

Hughes, Elizabeth M.; Witzel, Bradley S.; Riccomini, Paul J.; Fries, Karen M.; Kanyongo, Gibbs Y.

2014-01-01

The need for global competence in mathematics is apparent. Algebra is considered a gateway course to prepare students for the demands of a competitive global market. Many students demonstrate low performance in algebra; this is especially true for students with disabilities. Effective algebra instruction is essential to increase algebra…
A Calculus-Level Introductory Physics Course with an Astronomy Theme

NASA Astrophysics Data System (ADS)

Amato, Joseph

2011-05-01

Physics from Planet Earth (PPE) is a one-semester, calculus-based introductory course in classical mechanics intended for first year students of physics, chemistry, astronomy and engineering. Most of the core topics in mechanics are included, but many of the examples and applications are drawn from astronomy, space science, and astrophysics. The laws of physics are assigned the task of exploring the heavens - the same task addressed by Newton over 300 years ago at the birth of classical mechanics. How do we know the distance to the Moon, Sun, or other galaxies? How do we know the masses of the Earth, Sun, and other planets and stars, and why do we believe in "missing” mass? As a physics course, PPE concentrates on how we know rather than what we know. Examples and applications include those of historical importance (the Earth-Moon distance, the Earth-Sun distance, Ptolemaic vs. Copernican models, weighing the Earth) as well as those of contemporary interest (Hubble's Law, rocket propulsion, spacecraft gravity boosts, the Roche limit, search for extrasolar planets, orbital mechanics, pulsars, galactic rotation curves). The course has been taught successfully at Colgate for over a decade, using materials that have been developed and refined during the past 15 years. Developers of PPE are eager to enrich the course by identifying other topics in contemporary astronomy that can be adapted for the first year physics audience.
Affine.m—Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras

NASA Astrophysics Data System (ADS)

Nazarov, Anton

2012-11-01

In this paper we present Affine.m-a program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. The algorithms are based on the properties of weights and Weyl symmetry. Computation of weight multiplicities in irreducible and Verma modules, branching of representations and tensor product decomposition are the most important problems for us. These problems have numerous applications in physics and we provide some examples of these applications. The program is implemented in the popular computer algebra system Mathematica and works with finite-dimensional and affine Lie algebras. Catalogue identifier: AENA_v1_0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AENB_v1_0.html Program obtainable from: CPC Program Library, Queen’s University, Belfast, UK Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 24 844 No. of bytes in distributed program, including test data, etc.: 1 045 908 Distribution format: tar.gz Programming language: Mathematica. Computer: i386-i686, x86_64. Operating system: Linux, Windows, Mac OS, Solaris. RAM: 5-500 Mb Classification: 4.2, 5. Nature of problem: Representation theory of finite-dimensional Lie algebras has many applications in different branches of physics, including elementary particle physics, molecular physics, nuclear physics. Representations of affine Lie algebras appear in string theories and two-dimensional conformal field theory used for the description of critical phenomena in two-dimensional systems. Also Lie symmetries play a major role in a study of quantum integrable systems. Solution method: We work with weights and roots of finite-dimensional and affine Lie algebras and use Weyl symmetry extensively. Central problems which are the computations of weight multiplicities, branching and fusion coefficients are solved using one general recurrent
Exophysics--A New Introductory Physics Course

ERIC Educational Resources Information Center

Mitchell, G. E.

1976-01-01

Provides the outline of an introductory college-level physics course which combines astronomy, astrophysics, relativity and communications with a study of civilizations and the conditions necessary for life. Student comments and an informal evaluation of the course are included. (CP)
Experimental projects in graduate theoretical physics courses

DOE Office of Scientific and Technical Information (OSTI.GOV)

Rosner, J.L.

1996-10-01

Some beginning graduate courses in physics at the University of Chicago have been taught with final projects in addition to or in place of written final examinations. Although these courses and many of the projects are theoretical, experimental projects have been encouraged, with some success. A few examples are discussed. {copyright} {ital 1996 American Association of Physics Teachers.}
Perceptions of 9th and 10th Grade Students on How Their Environment, Cognition, and Behavior Motivate Them in Algebra and Geometry Courses

ERIC Educational Resources Information Center

Harootunian, Alen

2012-01-01

In this study, relationships were examined between students' perception of their cognition, behavior, environment, and motivation. The purpose of the research study was to explore the extent to which 9th and 10th grade students' perception of environment, cognition, and behavior can predict their motivation in Algebra and Geometry courses. A…
A course treating ethical issues in physics.

PubMed

Thomsen, Marshall

2007-03-01

A course focusing on ethical issues in physics has been taught to undergraduate students at Eastern Michigan University since 1988. The course covers both responsible conduct of research and ethical issues associated with how physicists interact with the rest of society. Since most undergraduate physics majors will not have a career in academia, it is important that a course such as this address issues that will be relevant to physicists in a wide range of job situations. There is a wealth of published work that can be drawn on for reading assignments.

An investigation into the effectiveness of problem-based learning in a physical chemistry laboratory course

NASA Astrophysics Data System (ADS)

Gürses, Ahmet; Açıkyıldız, Metin; Doğar, Çetin; Sözbilir, Mustafa

2007-04-01

The aim of this study was to investigate the effectiveness of a problem-based learning (PBL) approach in a physical chemistry laboratory course. The parameters investigated were students’ attitudes towards a chemistry laboratory course, scientific process skills of students and their academic achievement. The design of the study was one group pre-test post-test. Four experiments, covering the topics adsorption, viscosity, surface tension and conductivity were performed using a PBL approach in the fall semester of the 2003/04 academic year at Kazim Karabekir Education Faculty of Atatürk University. Each experiment was done over a three week period. A total of 40 students, 18 male and 22 female, participated in the study. Students took the Physical Chemistry Laboratory Concept Test (PCLCT), Attitudes towards Chemistry Laboratory (ATCL) questionnaire and Science Process Skills Test (SPST) as pre and post-tests. In addition, the effectiveness of the PBL approach was also determined through four different scales; Scales Specific to Students’ Views of PBL. A statistically significant difference between the students’ academic achievement and scientific process skills at p
A Study of the Relationship between Student Placement Test Scores and Final Grades in Physics 121 at Pima College.

ERIC Educational Resources Information Center

Iadevaia, David G.

A study was conducted at Pima Community College to determine the relationship between the final grade received by students in an introductory, algebra-based physics course (PHY 121) and their scores on the reading, writing, and mathematics portions of the college's nonmandatory assessment test. Between 1983 and 1988, 639 students obtained a final…
Quantum Physics

NASA Astrophysics Data System (ADS)

Le Bellac, Michel

2006-03-01

Quantum physics allows us to understand the nature of the physical phenomena which govern the behavior of solids, semi-conductors, lasers, atoms, nuclei, subnuclear particles and light. In Quantum Physics, Le Bellac provides a thoroughly modern approach to this fundamental theory. Throughout the book, Le Bellac teaches the fundamentals of quantum physics using an original approach which relies primarily on an algebraic treatment and on the systematic use of symmetry principles. In addition to the standard topics such as one-dimensional potentials, angular momentum and scattering theory, the reader is introduced to more recent developments at an early stage. These include a detailed account of entangled states and their applications, the optical Bloch equations, the theory of laser cooling and of magneto-optical traps, vacuum Rabi oscillations, and an introduction to open quantum systems. This is a textbook for a modern course on quantum physics, written for advanced undergraduate and graduate students. Completely original and contemporary approach, using algebra and symmetry principles Introduces recent developments at an early stage, including many topics that cannot be found in standard textbooks. Contains 130 physically relevant exercises
Math 3008--Developmental Mathematics II. Course Outline.

ERIC Educational Resources Information Center

New York Inst. of Tech., Old Westbury.

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This is designed as the second of a two-semester sequence. Topics include performing operations with radicals and exponents; learning to solve equations;…
Experimental Course Report/Grade Nine.

ERIC Educational Resources Information Center

Davis, Robert B.

Described is the development of an approach to the algebra of real numbers which includes three areas of mathematics not commonly found in grade 9--the theory of limits of infinite sequences, a frequent use of Cartesian co-ordinates, and algebra of matrices. Seventy per cent of the course is abstract axiomatic algebra and the remaining portion…
Graduate teaching assistants in a reformed introductory physics course: Synthesis of quantitative analyses of instructor action and qualitative analyses of instructor attitudes and perspectives

NASA Astrophysics Data System (ADS)

Calder, Austin Michael

Physics Education Research (PER) has shown us that when students have opportunities to make sense of concepts they tend to remember them better and can apply them more appropriately to new situations. PER has also revealed that an interactive, cooperative, small group environment is more conducive to achieving this than traditional lecture and recitation sections. It is useful to consider the aims of reformed instruction from the point of view of the graduate teaching assistants (GTAs) in physics, who are facilitating the instruction. The data in this dissertation comes from audio-recordings of GTAs teaching in an algebra-based introductory course; I develop a rubric for assessing the teaching practices of the GTAs which separates teaching into five categories according to the reformed practices present. The rubric and technique developed here could be used as a diagnostic for GTAs new to a reformed classroom. I also conducted surveys of the GTA participants, as well as semi-structured interviews to gain more information about the attitudes and perspectives toward reformed physics instruction. Results from this work include: (1) A diagnostic tool for teaching improvement and (2) a detailed understanding of the GTA facilitators' teaching practices in the reformed physics laboratory.
Student Perceptions of a Conceptual Physical Education Activity Course

ERIC Educational Resources Information Center

Jenkins, Jayne M.; Jenkins, Patience; Collums, Ashley; Werhonig, Gary

2006-01-01

Conceptual physical education (CPE) courses are typically included in university course work to provide students knowledge and skills to engage in physical activity for life. The purpose of this study was to identify CPE course characteristics that contributed to positive and negative student perceptions. Participants included 157 undergraduates…
Pay-Offs from Expanding Summer Credit Recovery in Algebra

ERIC Educational Resources Information Center

Allensworth, Elaine; Nomi, Takako; Heppen, Jessica

2013-01-01

The consequences of failing core academic courses during the first year are dire. In Chicago, over a quarter of students fail at least one semester of algebra in their ninth grade year, and only 13% of students who fail both semesters of Algebra I in ninth grade graduate in 4 years. Offering credit recovery options is one strategy to deal with…
University of Chicago School Mathematics Project (UCSMP) Algebra. WWC Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2009

2009-01-01

University of Chicago School Mathematics Project (UCSMP) Algebra is a one-year course covering three primary topics: (1) linear and quadratic expressions, sentences, and functions; (2) exponential expressions and functions; and (3) linear systems. Topics from geometry, probability, and statistics are integrated with the appropriate algebra.…
Basic guidelines to introduce electric circuit simulation software in a general physics course

NASA Astrophysics Data System (ADS)

Moya, A. A.

2018-05-01

The introduction of electric circuit simulation software for undergraduate students in a general physics course is proposed in order to contribute to the constructive learning of electric circuit theory. This work focuses on the lab exercises based on dc, transient and ac analysis in electric circuits found in introductory physics courses, and shows how students can use the simulation software to do simple activities associated with a lab exercise itself and with related topics. By introducing electric circuit simulation programs in a general physics course as a brief activitiy complementing lab exercise, students develop basic skills in using simulation software, improve their knowledge on the topology of electric circuits and perceive that the technology contributes to their learning, all without reducing the time spent on the actual content of the course.
Open Source Software in Teaching Physics: A Case Study on Vector Algebra and Visual Representations

ERIC Educational Resources Information Center

Cataloglu, Erdat

2006-01-01

This study aims to report the effort on teaching vector algebra using free open source software (FOSS). Recent studies showed that students have difficulties in learning basic physics concepts. Constructivist learning theories suggest the use of visual and hands-on activities in learning. We will report on the software used for this purpose. The…
Linear Algebra Revisited: An Attempt to Understand Students' Conceptual Difficulties

ERIC Educational Resources Information Center

Britton, Sandra; Henderson, Jenny

2009-01-01

This article looks at some of the conceptual difficulties that students have in a linear algebra course. An overview of previous research in this area is given, and the various theories that have been espoused regarding the reasons that students find linear algebra so difficult are discussed. Student responses to two questions testing the ability…
Medical Physics Undergraduate Degree Courses at University.

ERIC Educational Resources Information Center

Chadwick, Roy

1989-01-01

Described are the course, teaching/study, entry qualifications, and destination of graduates of four courses in medical physics from Exeter University, King's College London, University College London, and University College of Swansea. (YP)
Improving Algebra Preparation: Implications from Research on Student Misconceptions and Difficulties

ERIC Educational Resources Information Center

Welder, Rachael M.

2012-01-01

Through historical and contemporary research, educators have identified widespread misconceptions and difficulties faced by students in learning algebra. Many of these universal issues stem from content addressed long before students take their first algebra course. Yet elementary and middle school teachers may not understand how the subtleties of…
Principles and Applications of Physical Fitness: Course Proposal.

ERIC Educational Resources Information Center

Yeo, David G.

A proposal is presented for a Community College of Philadelphia Life Sciences and Allied Health Services course in physical fitness. Following a standard cover form, a statement of purpose explains that the course is designed to provide instruction and experience in the basic areas of nutrition and physical conditioning, including dietary…
Algebra, Home Mortgages, and Recessions

ERIC Educational Resources Information Center

Mariner, Jean A. Miller; Miller, Richard A.

2009-01-01

The current financial crisis and recession in the United States present an opportunity to discuss relevant applications of some topics in typical first-and second-year algebra and precalculus courses. Real-world applications of percent change, exponential functions, and sums of finite geometric sequences can help students understand the problems…
Physics for Water and Wastewater Operators.

ERIC Educational Resources Information Center

Koundakjian, Philip

This physics course covers the following main subject areas: (1) liquids; (2) pressure; (3) liquid flow; (4) temperature and heat; and (5) electric currents. The prerequisites for understanding this material are basic algebra and geometry. The lessons are composed mostly of sample problems and calculations that water and wastewater operators have…
Student and Instructor Perceptions of a Flipped College Algebra Classroom

ERIC Educational Resources Information Center

Jaster, Robert W.

2017-01-01

Each year about half a million students fail to make planned academic progress due to college algebra, hence the need for researchers to find ways of improving the quality of instruction in the course. Recent research suggests that flipping college algebra to allow time for active learning in the classroom may improve student performance. Also,…
Balancing the Equation: Do Course Variations in Algebra 1 Provide Equal Student Outcomes?

ERIC Educational Resources Information Center

Kenfield, Danielle M.

2013-01-01

Historically, algebra has served as a gatekeeper that divides students into academic programs with varying opportunities to learn and controls access to higher education and career opportunities. Successful completion of Algebra 1 demonstrates mathematical proficiency and allows access to a sequential and progressive path of advanced study that…
A Computer Algebra Approach to Solving Chemical Equilibria in General Chemistry

ERIC Educational Resources Information Center

Kalainoff, Melinda; Lachance, Russ; Riegner, Dawn; Biaglow, Andrew

2012-01-01

In this article, we report on a semester-long study of the incorporation into our general chemistry course, of advanced algebraic and computer algebra techniques for solving chemical equilibrium problems. The method presented here is an alternative to the commonly used concentration table method for describing chemical equilibria in general…

Moving beyond Solving for "x": Teaching Abstract Algebra in a Liberal Arts Mathematics Course

ERIC Educational Resources Information Center

Cook, John Paul

2015-01-01

This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context,…
The Effect of Brain Based Instruction on Student Achievement in Algebra I

ERIC Educational Resources Information Center

Vass, Melissa G.

2010-01-01

This quantitative quasi-experimental study examined the effect of brain-based instruction compared to teacher-centered instruction on student achievement in algebra I. A pre-test and post-test were given to a control group of 30 and experimental group of 42 before and after a unit if study in algebra I, which was taught using the two instructional…
Experiences in Evaluating Outcomes in Tool-Based, Competence Building Education in Dynamical Systems Using Symbolic Computer Algebra

ERIC Educational Resources Information Center

Perram, John W.; Andersen, Morten; Ellekilde, Lars-Peter; Hjorth, Poul G.

2004-01-01

This paper discusses experience with alternative assessment strategies for an introductory course in dynamical systems, where the use of computer algebra and calculus is fully integrated into the learning process, so that the standard written examination would not be appropriate. Instead, students' competence was assessed by grading three large…
Effects of Requiring Physical Fitness in a Lecture-Based College Course: Students' Attitudes toward Physical Activity

ERIC Educational Resources Information Center

Esslinger, Keri A.; Grimes, Amanda R.; Pyle, Elizabeth

2016-01-01

In this study, we investigated students' attitudes toward physical activity (PA) when including a required PA component in a university-required personal wellness class. The study included (a) an experimental group of students enrolled in a personal wellness course in which there was a required PA requirement and (b) a control group of students…
Deformation Theory and Physics Model Building

NASA Astrophysics Data System (ADS)

Sternheimer, Daniel

2006-08-01

The mathematical theory of deformations has proved to be a powerful tool in modeling physical reality. We start with a short historical and philosophical review of the context and concentrate this rapid presentation on a few interrelated directions where deformation theory is essential in bringing a new framework - which has then to be developed using adapted tools, some of which come from the deformation aspect. Minkowskian space-time can be deformed into Anti de Sitter, where massless particles become composite (also dynamically): this opens new perspectives in particle physics, at least at the electroweak level, including prediction of new mesons. Nonlinear group representations and covariant field equations, coming from interactions, can be viewed as some deformation of their linear (free) part: recognizing this fact can provide a good framework for treating problems in this area, in particular global solutions. Last but not least, (algebras associated with) classical mechanics (and field theory) on a Poisson phase space can be deformed to (algebras associated with) quantum mechanics (and quantum field theory). That is now a frontier domain in mathematics and theoretical physics called deformation quantization, with multiple ramifications, avatars and connections in both mathematics and physics. These include representation theory, quantum groups (when considering Hopf algebras instead of associative or Lie algebras), noncommutative geometry and manifolds, algebraic geometry, number theory, and of course what is regrouped under the name of M-theory. We shall here look at these from the unifying point of view of deformation theory and refer to a limited number of papers as a starting point for further study.
A note on derivations of Murray–von Neumann algebras

PubMed Central

Kadison, Richard V.; Liu, Zhe

2014-01-01

A Murray–von Neumann algebra is the algebra of operators affiliated with a finite von Neumann algebra. In this article, we first present a brief introduction to the theory of derivations of operator algebras from both the physical and mathematical points of view. We then describe our recent work on derivations of Murray–von Neumann algebras. We show that the “extended derivations” of a Murray–von Neumann algebra, those that map the associated finite von Neumann algebra into itself, are inner. In particular, we prove that the only derivation that maps a Murray–von Neumann algebra associated with a factor of type II1 into that factor is 0. Those results are extensions of Singer’s seminal result answering a question of Kaplansky, as applied to von Neumann algebras: The algebra may be noncommutative and may even contain unbounded elements. PMID:24469831
A note on derivations of Murray-von Neumann algebras.

PubMed

Kadison, Richard V; Liu, Zhe

2014-02-11

A Murray-von Neumann algebra is the algebra of operators affiliated with a finite von Neumann algebra. In this article, we first present a brief introduction to the theory of derivations of operator algebras from both the physical and mathematical points of view. We then describe our recent work on derivations of Murray-von Neumann algebras. We show that the "extended derivations" of a Murray-von Neumann algebra, those that map the associated finite von Neumann algebra into itself, are inner. In particular, we prove that the only derivation that maps a Murray-von Neumann algebra associated with a factor of type II1 into that factor is 0. Those results are extensions of Singer's seminal result answering a question of Kaplansky, as applied to von Neumann algebras: The algebra may be noncommutative and may even contain unbounded elements.
The Physical Tourist. A European Study Course

NASA Astrophysics Data System (ADS)

Kortemeyer, Gerd; Westfall, Catherine

2010-03-01

We organized and led a European study course for American undergraduate university students to explore the early history of relativity and quantum theory. We were inspired by The Physical Tourist articles published in this journal on Munich, Bern, Berlin, Copenhagen, and Göttingen. We describe this adventure both for others wishing to teach such a course and for anyone wishing to walk in the footsteps of the physicists who revolutionized physics in the early decades of the twentieth century.
Proof and Reasoning in Secondary School Algebra Textbooks

ERIC Educational Resources Information Center

Dituri, Philip

2013-01-01

The purpose of this study was to determine the extent to which the modeling of deductive reasoning and proof-type thinking occurs in a mathematics course in which students are not explicitly preparing to write formal mathematical proofs. Algebra was chosen because it is the course that typically directly precedes a student's first formal…
Scientific reasoning abilities of nonscience majors in physics-based courses

NASA Astrophysics Data System (ADS)

Moore, J. Christopher; Rubbo, Louis J.

2012-06-01

We have found that non-STEM (science, technology, engineering, and mathematics) majors taking either a conceptual physics or astronomy course at two regional comprehensive institutions score significantly lower preinstruction on the Lawson’s Classroom Test of Scientific Reasoning (LCTSR) in comparison to national average STEM majors. Based on LCTSR score, the majority of non-STEM students can be classified as either concrete operational or transitional reasoners in Piaget’s theory of cognitive development, whereas in the STEM population formal operational reasoners are far more prevalent. In particular, non-STEM students demonstrate significant difficulty with proportional and hypothetico-deductive reasoning. Prescores on the LCTSR are correlated with normalized learning gains on various concept inventories. The correlation is strongest for content that can be categorized as mostly theoretical, meaning a lack of directly observable exemplars, and weakest for content categorized as mostly descriptive, where directly observable exemplars are abundant. Although the implementation of research-verified, interactive engagement pedagogy can lead to gains in content knowledge, significant gains in theoretical content (such as force and energy) are more difficult with non-STEM students. We also observe no significant gains on the LCTSR without explicit instruction in scientific reasoning patterns. These results further demonstrate that differences in student populations are important when comparing normalized gains on concept inventories, and the achievement of significant gains in scientific reasoning requires a reevaluation of the traditional approach to physics for non-STEM students.
SU-E-E-01: ABR Diagnostic Radiology Core Exam: Was Our Redesigned Physics Course Successful in Teaching Physics to Radiology Residents?

DOE Office of Scientific and Technical Information (OSTI.GOV)

Kanal, K; Hoff, M; Dickinson, R

Purpose: Our purpose is to evaluate the effectiveness of our two year physics course in preparing radiology residents for the American Board of Radiology (ABR) diagnostic radiology exam. Methods: We designed a new two-year physics course that integrates radiology clinical content and practice and is primarily based on the AAPM curriculum and RSNA/AAPM physics modules. Biweekly classes focus on relevant concepts from assigned reading and use audience response systems to encourage participation. Teaching efficiency is optimized through lecturer rotations of physicists, radiologists, and guest speakers. An emphasis is placed on clinical relevance by requiring lab work and providing equipment demonstrations.more » Periodic quiz were given during the course. The course website was also redesigned for usability, and physics review lectures were conducted two weeks before the board exam to refresh key concepts. At the completion of our first two-year course, we conducted a confidential evaluation of the faculty and course. The evaluation assessed metrics such as overall organization, clinical relevance of content, and level of difficulty, with a rating scale from poor to excellent. Results: Our evaluation indicated that the redesigned course provided effective board exam preparation, with most responses between good and excellent. There was some criticism on the course length and on chronological discontinuity, but the review lectures were appreciated by the residents. All of our residents passed the physics component of the ABR exam with scores exceeding the minimum passing score by a significant margin. Conclusion: The course evaluation and board exam results indicate that our new two-year course format provides valuable board exam preparation. This is possible thanks to the time and effort taken by the physics faculty on ensuring the residents get quality physics education.« less
Application of Computer Graphics to Graphing in Algebra and Trigonometry. Final Report.

ERIC Educational Resources Information Center

Morris, J. Richard

This project was designed to improve the graphing competency of students in elementary algebra, intermediate algebra, and trigonometry courses at Virginia Commonwealth University. Computer graphics programs were designed using an Apple II Plus computer and implemented using Pascal. The software package is interactive and gives students control…
Two-year colleges, Physics, and Teacher Preparation

NASA Astrophysics Data System (ADS)

Clay, Keith

2002-05-01

In the midst of a teacher shortage no field suffers more than physics. Half of our secondary physics teachers have less than a minor in physics. Meanwhile half of our future teachers start out at two-year colleges with physicists on staff. The opportunity for community colleges to have an impact on K-12 teaching is tremendous. Project TEACH has been honored as an outstanding teacher preparation program. It is a collaboration of colleges and K-12 schools dedicated to the improvement of teacher preparation, especially in science and math. Based at Green River Community College, Project TEACH unites certification institutions, community colleges, and K-12 school districts in the pre-service and in-service training of teachers. Activities of Project TEACH include recruitment and advising of future teachers, field experience for education students, creation of pre-teaching and para-educator degrees, tutoring from elementary school through college, in-service courses for current teachers, and special math and science courses aimed at future teachers. The yearlong interdisciplinary science sequence blends chemistry, physics, geology, and biology in a hands-on inquiry-based environment. The yearlong math sequence covers arithmetic, algebra, geometry, and probability with inquiry-based pedagogy. The programs developed by Project TEACH are being disseminated to colleges across Washington State and beyond.
Methods of teaching the physics of climate change in undergraduate physics courses

NASA Astrophysics Data System (ADS)

Sadler, Michael

2015-04-01

Although anthropogenic climate change is generally accepted in the scientific community, there is considerable skepticism among the general population and, therefore, in undergraduate students of all majors. Students are often asked by their peers, family members, and others, whether they ``believe'' climate change is occurring and what should be done about it (if anything). I will present my experiences and recommendations for teaching the physics of climate change to both physics and non-science majors. For non-science majors, the basic approach is to try to develop an appreciation for the scientific method (particularly peer-reviewed research) in a course on energy and the environment. For physics majors, the pertinent material is normally covered in their undergraduate courses in modern physics and thermodynamics. Nevertheless, it helps to review the basics, e.g. introductory quantum mechanics (discrete energy levels of atomic systems), molecular spectroscopy, and blackbody radiation. I have done this in a separate elective topics course, titled ``Physics of Climate Change,'' to help the students see how their knowledge gives them insight into a topic that is very volatile (socially and politically).
Using Group Explorer in teaching abstract algebra

NASA Astrophysics Data System (ADS)

Schubert, Claus; Gfeller, Mary; Donohue, Christopher

2013-04-01

This study explores the use of Group Explorer in an undergraduate mathematics course in abstract algebra. The visual nature of Group Explorer in representing concepts in group theory is an attractive incentive to use this software in the classroom. However, little is known about students' perceptions on this technology in learning concepts in abstract algebra. A total of 26 participants in an undergraduate course studying group theory were surveyed regarding their experiences using Group Explorer. Findings indicate that all participants believed that the software was beneficial to their learning and described their attitudes regarding the software in terms of using the technology and its helpfulness in learning concepts. A multiple regression analysis reveals that representational fluency of concepts with the software correlated significantly with participants' understanding of group concepts yet, participants' attitudes about Group Explorer and technology in general were not significant factors.
ALGEBRA: ALgorithm for the heterogeneous dosimetry based on GEANT4 for BRAchytherapy.

PubMed

Afsharpour, H; Landry, G; D'Amours, M; Enger, S; Reniers, B; Poon, E; Carrier, J-F; Verhaegen, F; Beaulieu, L

2012-06-07

Task group 43 (TG43)-based dosimetry algorithms are efficient for brachytherapy dose calculation in water. However, human tissues have chemical compositions and densities different than water. Moreover, the mutual shielding effect of seeds on each other (interseed attenuation) is neglected in the TG43-based dosimetry platforms. The scientific community has expressed the need for an accurate dosimetry platform in brachytherapy. The purpose of this paper is to present ALGEBRA, a Monte Carlo platform for dosimetry in brachytherapy which is sufficiently fast and accurate for clinical and research purposes. ALGEBRA is based on the GEANT4 Monte Carlo code and is capable of handling the DICOM RT standard to recreate a virtual model of the treated site. Here, the performance of ALGEBRA is presented for the special case of LDR brachytherapy in permanent prostate and breast seed implants. However, the algorithm is also capable of handling other treatments such as HDR brachytherapy.
Implications of Eighth Grade Algebra I on High School Mathematics Achievement

ERIC Educational Resources Information Center

Bayard, Robert

2012-01-01

As of 2008, approximately 40% of eighth grade students in the United States enroll in Algebra I (National Council of Teachers of Mathematics, 2008). Although research has shown that students have more opportunities to take advanced mathematics courses by taking eighth grade Algebra I, in the United States, approximately only one-third to one-half…
Physical Theory in Biology: An Interdisciplinary Course.

ERIC Educational Resources Information Center

Lumsden, Charles J.; And Others

1979-01-01

Describes an interdisciplinary course which explores the relationships between physics and biology in terms of their conceptual structures and mathematical frameworks. Highlights the course content, its system of cross-disciplinary literature resources, and several innovative aspects of the method used for evaluating students. (Author/GA)
Algebra for All. Research Brief

ERIC Educational Resources Information Center

Bleyaert, Barbara

2009-01-01

The call for "algebra for all" is not a recent phenomenon. Concerns about the inadequacy of math (and science) preparation in America's high schools have been a steady drumbeat since the 1957 launch of Sputnik; a call for raising standards and the number of math (and science) courses required for graduation has been a part of countless…
Factors Related to Problem Solving by College Students in Developmental Algebra.

ERIC Educational Resources Information Center

Schonberger, Ann K.

A study was conducted to contrast the characteristics of three groups of college students who completed a developmental algebra course at the University of Maine at Orono during 1980-81. On the basis of a two-part final examination, involving a multiple-choice test of algebraic concepts and skills and a free-response test of problem-solving…

Particle-like structure of coaxial Lie algebras

NASA Astrophysics Data System (ADS)

Vinogradov, A. M.

2018-01-01

This paper is a natural continuation of Vinogradov [J. Math. Phys. 58, 071703 (2017)] where we proved that any Lie algebra over an algebraically closed field or over R can be assembled in a number of steps from two elementary constituents, called dyons and triadons. Here we consider the problems of the construction and classification of those Lie algebras which can be assembled in one step from base dyons and triadons, called coaxial Lie algebras. The base dyons and triadons are Lie algebra structures that have only one non-trivial structure constant in a given basis, while coaxial Lie algebras are linear combinations of pairwise compatible base dyons and triadons. We describe the maximal families of pairwise compatible base dyons and triadons called clusters, and, as a consequence, we give a complete description of the coaxial Lie algebras. The remarkable fact is that dyons and triadons in clusters are self-organised in structural groups which are surrounded by casings and linked by connectives. We discuss generalisations and applications to the theory of deformations of Lie algebras.
Report of the Polymer Core Course Committee: Polymer Principles in the Undergraduate Physical Chemistry Course, Part 1.

ERIC Educational Resources Information Center

Journal of Chemical Education, 1985

1985-01-01

Demonstrates, with a set of definitive examples, how polymer principles can be introduced into the first undergraduate physical chemistry course in a very natural way. The intent is to encourage introduction of polymer-related material into conventional physical chemistry courses without sacrificing any rigor associated with such courses. (JN)
Explicit reflection in an introductory physics course

NASA Astrophysics Data System (ADS)

Scott, Michael Lee

This dissertation details a classroom intervention that supplements assigned in-class problems in weekly problem sets with reflective activities that are aimed to assist in knowledge integration. Using the framework of cognitive load theory, this intervention should assist in schema acquisition leading to (1) students recognizing the use and appropriately applying physical concepts across different problem contexts, and (2) enhanced physics understanding of students resulting in improved class performance. The intervention was embedded in the discussion component of an introductory, university physics course, and spanned a 14-week period. Evaluation of the intervention was based on the relative performance between a control and treatment group. Instruments used in this study to assess performance included the Force Concept Inventory (FCI), a physics problem categorization test, and four class exams. A full discussion of this implementation and the accompanying measures will be given. Possible limitations to this study and lines of future research will be proposed.
Students' Attitudes toward Introductory Physics Course

ERIC Educational Resources Information Center

Demirci, Neset

2004-01-01

The problem examined in this study deals with students' attitude toward physics among the freshmen and sophomore students who were taking first introductory physics course. In the study there were 176 students, and they were chosen sample of convenience from Florida Institute of Technology, Melbourne, Florida. 125 subjects were male students, and…
Just-in-Time Algebra: A Problem Solving Approach Including Multimedia and Animation.

ERIC Educational Resources Information Center

Hofmann, Roseanne S.; Hunter, Walter R.

2003-01-01

Describes a beginning algebra course that places stronger emphasis on learning to solve problems and introduces topics using real world applications. Students learn estimating, graphing, and algebraic algorithms for the purpose of solving problems. Indicates that applications motivate students by appearing to be a more relevant topic as well as…
Effects of physical science courses which emphasize content or process on efficacy beliefs of preservice elementary teachers

NASA Astrophysics Data System (ADS)

Aldrich, Lynn Karter

1997-09-01

Concerns about the teaching of science in elementary grades have led in recent years to studies of teacher efficacy beliefs, their relation to teaching behaviors, and mechanisms which promote positive changes in those beliefs. The purpose of this study was to determine if science teaching efficacy beliefs of preservice elementary teachers are changed by a process emphasis physical science course and by a content emphasis physical science course and to compare these two effects. The STEBI-B instrument was given as a pretest at the beginning and a posttest at the conclusion of semester physical science courses to 94 subjects in a small liberal arts-based college. The STEBI-B instrument was also given as a pretest at the beginning and a posttest at the conclusion of semester science teaching methods courses to 61 subjects at the same college. No significant change occurred in the outcome expectancy subscale for the content emphasis course, the process emphasis course, or the science methods course. No significant change occurred in the self-efficacy subscale for the content emphasis course. A significant increase occurred in the self-efficacy subscale for the process emphasis course and the science methods course. When the process emphasis subjects were broken down into subgroups based on when the methods course was taken, a significant increase was found only for the subgroups who had previously taken or were concurrently taking a methods course with the physical science course. No significant difference was found in either outcome expectancy or self-efficacy between the content emphasis and process emphasis with ANCOVA using the pretest STEBI-B subscale as a covariate. The results suggest that a physical science course which emphasizes science process by using an integrated approach of lecture, hands-on activities and discussion may result in increased science teaching self-efficacy beliefs for preservice elementary teachers. The results also suggest that these
Teaching the Delightful Laws of Physics in a Survey Course

NASA Astrophysics Data System (ADS)

Hewitt, Paul G.

2015-10-01

How physics can be made interesting is a question that needs no answer. That's because physics is interesting! It's a field of study jam-packed with fascination and wonder. The general public has an enormous thirst for physics knowledge, as indicated by the great numbers who purchase science magazines and books and watch NOVA and other science specials. A related question, how to make a physics course interesting, is something that we can answer. All we have to do is present physics at a proper pace in the language of the learner. My adage has always been that if the first course in physics is delightful, the rigor of a follow-up course will be welcomed.
I CAN Learn[R] Pre-Algebra and Algebra. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2009

2009-01-01

The I CAN Learn[R] Education System is an interactive, self-paced, mastery-based software system that includes the I CAN Learn[R] Fundamentals of Math (5th-6th grade math) curriculum, the I CAN Learn[R] Pre-Algebra curriculum, and the I CAN Learn[R] Algebra curriculum. College algebra credit is also available to students in participating schools…
Materials for Active Engagement in Nuclear and Particle Physics Courses

NASA Astrophysics Data System (ADS)

Loats, Jeff; Schwarz, Cindy; Krane, Ken

2013-04-01

Physics education researchers have developed a rich variety of research-based instructional strategies that now permeate many introductory courses. Carrying these active-engagement techniques to upper-division courses requires effort and is bolstered by experience. Instructors interested in these methods thus face a large investment of time to start from scratch. This NSF-TUES grant, aims to develop, test and disseminate active-engagement materials for nuclear and particle physics topics. We will present examples of these materials, including: a) Conceptual discussion questions for use with Peer Instruction; b) warm-up questions for use with Just in Time Teaching, c) ``Back of the Envelope'' estimation questions and small-group case studies that will incorporate use of nuclear and particle databases, as well as d) conceptual exam questions.
Hurwitz Algebras and the Octonion Algebra

NASA Astrophysics Data System (ADS)

Burdik, Čestmir; Catto, Sultan

2018-02-01

We explore some consequences of a theory of internal symmetries for elementary particles constructed on exceptional quantum mechanical spaces based on Jordan algebra formulation that admit exceptional groups as gauge groups.
PSI for Low-Enrollment Junior-Senior Physics Courses

ERIC Educational Resources Information Center

Frahm, Charles P.; Young, Robert D.

1976-01-01

The administration of a Personalized System of Instruction (PSI) for junior-senior level courses in mechanics, electricity and magneturn, atomic physics, mathematical physics, physics and computers, astrophysics, and relativity is described. (CP)
Microcomputers in a Beginning Tertiary Physics Course.

ERIC Educational Resources Information Center

Pearce, J. M.; O'Brien, R.

1986-01-01

Describes a college-level physics course which focuses on both physics knowledge/skills and use of microcomputers. Types of experiments done with the computers and how students use the computers to treat data are considered. (JN)
Algebraic Reasoning in Solving Mathematical Problem Based on Learning Style

NASA Astrophysics Data System (ADS)

Indraswari, N. F.; Budayasa, I. K.; Ekawati, R.

2018-01-01

This study aimed to describe algebraic reasoning of secondary school’s pupils with different learning styles in solving mathematical problem. This study begins by giving the questionnaire to find out the learning styles and followed by mathematical ability test to get three subjects of 8th-grade whereas the learning styles of each pupil is visual, auditory, kinesthetic and had similar mathematical abilities. Then it continued with given algebraic problems and interviews. The data is validated using triangulation of time. The result showed that in the pattern of seeking indicator, subjects identified the things that were known and asked based on them observations. The visual and kinesthetic learners represented the known information in a chart, whereas the auditory learner in a table. In addition, they found the elements which makes the pattern and made a relationship between two quantities. In the pattern recognition indicator, they created conjectures on the relationship between two quantities and proved it. In the generalization indicator, they were determining the general rule of pattern found on each element of pattern using algebraic symbols and created a mathematical model. Visual and kinesthetic learners determined the general rule of equations which was used to solve problems using algebraic symbols, but auditory learner in a sentence.
The State of the Gate: A Description of Instructional Practice in Algebra in Five Urban Districts

ERIC Educational Resources Information Center

Litke, Erica G.

2015-01-01

Algebra is considered a linchpin for success in secondary mathematics, serving as a gatekeeper to higher-level courses. Access to algebra is also considered an important lever for educational equity. Yet despite its prominence, large-scale examinations of algebra instruction are rare. In my dissertation, I endeavor to better understand what…
The Effects of Teacher Collective Responsibility on the Mathematics Achievement of Students Who Repeat Algebra

ERIC Educational Resources Information Center

Morales-Chicas, Jessica; Agger, Charlotte

2017-01-01

In this article, the authors use the national High School Longitudinal Study of 2009 (HSLS:09) dataset to explore (a) if repeating algebra in the eighth grade was associated with overall mathematics grades and course-taking patterns by twelfth grade, (b) if repeating algebra in the eighth grade was associated with students' final grade in algebra,…
Current algebra, statistical mechanics and quantum models

NASA Astrophysics Data System (ADS)

Vilela Mendes, R.

2017-11-01

Results obtained in the past for free boson systems at zero and nonzero temperatures are revisited to clarify the physical meaning of current algebra reducible functionals which are associated to systems with density fluctuations, leading to observable effects on phase transitions. To use current algebra as a tool for the formulation of quantum statistical mechanics amounts to the construction of unitary representations of diffeomorphism groups. Two mathematical equivalent procedures exist for this purpose. One searches for quasi-invariant measures on configuration spaces, the other for a cyclic vector in Hilbert space. Here, one argues that the second approach is closer to the physical intuition when modelling complex systems. An example of application of the current algebra methodology to the pairing phenomenon in two-dimensional fermion systems is discussed.
Improvement or selection? A longitudinal analysis of students' views about experimental physics in their lab courses

NASA Astrophysics Data System (ADS)

Wilcox, Bethany R.; Lewandowski, H. J.

2017-12-01

Laboratory courses represent a unique and potentially important component of the undergraduate physics curriculum, which can be designed to allow students to authentically engage with the process of experimental physics. Among other possible benefits, participation in these courses throughout the undergraduate physics curriculum presents an opportunity to develop students' understanding of the nature and importance of experimental physics within the discipline as a whole. Here, we present and compare both a longitudinal and pseudolongitudinal analysis of students' responses to a research-based assessment targeting students' views about experimental physics—the Colorado Learning Attitudes about Science Survey for Experimental Physics (E-CLASS)—across multiple, required lab courses at a single institution. We find that, while pseudolongitudinal averages showed increases in students' E-CLASS scores in each consecutive course, analysis of longitudinal data indicates that this increase was not driven by a cumulative impact of laboratory instruction. Rather, the increase was driven by a selection effect in which students who persisted into higher-level lab courses already had more expertlike beliefs, attitudes, and expectations than their peers when they started the lower-level courses.
General Physics Course for Pre-medical Students

ERIC Educational Resources Information Center

Argos, Patrick

1973-01-01

Discusses a two-semester noncalculus general physics course which emphasizes the teaching of physical knowledge in biology, biophysics, and medicine. Included are a table of major biophysical examples, an outline of lectures, and a list of references. (CC)
Do students benefit from drawing productive diagrams themselves while solving introductory physics problems? The case of two electrostatics problems

NASA Astrophysics Data System (ADS)

Maries, Alexandru; Singh, Chandralekha

2018-01-01

An appropriate diagram is a required element of a solution building process in physics problem solving and it can transform a given problem into a representation that is easier to exploit for solving the problem. A major focus while helping introductory physics students learn problem solving is to help them appreciate that drawing diagrams facilitates problem solving. We conducted an investigation in which two different interventions were implemented during recitation quizzes throughout the semester in a large enrolment, algebra-based introductory physics course. Students were either (1) asked to solve problems in which the diagrams were drawn for them or (2) explicitly told to draw a diagram. A comparison group was not given any instruction regarding diagrams. We developed a rubric to score the problem solving performance of students in different intervention groups. We investigated two problems involving electric field and electric force and found that students who drew productive diagrams were more successful problem solvers and that a higher level of relevant detail in a student’s diagram corresponded to a better score. We also conducted think-aloud interviews with nine students who were at the time taking an equivalent introductory algebra-based physics course in order to gain insight into how drawing diagrams affects the problem solving process. These interviews supported some of the interpretations of the quantitative results. We end by discussing instructional implications of the findings.
Developing Compressed Beginning and Intermediate Algebra Courses

ERIC Educational Resources Information Center

Walker, Sylvia E.

2017-01-01

The purpose of this project was two-fold. First, it would provide an opportunity for students to complete the developmental math course sequence more quickly, thereby enabling students to proceed to a college-level mathematics course sooner. To accomplish this, the classroom was designed with computer-assisted homework courses that blended…

Personality types and student performance in an introductory physics course

NASA Astrophysics Data System (ADS)

Harlow, Jason J. B.; Harrison, David M.; Justason, Michael; Meyertholen, Andrew; Wilson, Brian

2017-12-01

We measured the personality type of the students in a large introductory physics course of mostly life science students using the True Colors instrument. We found large correlations of personality type with performance on the precourse Force Concept Inventory (FCI), both term tests, the postcourse FCI, and the final examination. We also saw correlations with the normalized gain on the FCI. The personality profile of the students in this course is very different from the profile of the physics faculty and graduate students, and also very different from the profile of students taking the introductory physics course intended for physics majors and specialists.
Explicating mathematical thinking in differential equations using a computer algebra system

NASA Astrophysics Data System (ADS)

Zeynivandnezhad, Fereshteh; Bates, Rachel

2018-07-01

The importance of developing students' mathematical thinking is frequently highlighted in literature regarding the teaching and learning of mathematics. Despite this importance, most curricula and instructional activities for undergraduate mathematics fail to bring the learner beyond the mathematics. The purpose of this study was to enhance students' mathematical thinking by implementing a computer algebra system and active learning pedagogical approaches. students' mathematical thinking processes were analyzed while completing specific differential equations tasks based on posed prompts and questions and Instrumental Genesis. Data were collected from 37 engineering students in a public Malaysian university. This study used the descriptive and interpretive qualitative research design to investigate the students' perspectives of emerging mathematical understanding and approaches to learning mathematics in an undergraduate differential equations course. Results of this study concluded that students used a variety of mathematical thinking processes in a non-sequential manner. Additionally, the outcomes provide justification for continued use of technologies such as computer algebra systems in undergraduate mathematics courses and the need for further studies to uncover the various processes students utilize to complete specific mathematical tasks.
An Algebraic Approach to Guarantee Harmonic Balance Method Using Gröbner Base

NASA Astrophysics Data System (ADS)

Yagi, Masakazu; Hisakado, Takashi; Okumura, Kohshi

Harmonic balance (HB) method is well known principle for analyzing periodic oscillations on nonlinear networks and systems. Because the HB method has a truncation error, approximated solutions have been guaranteed by error bounds. However, its numerical computation is very time-consuming compared with solving the HB equation. This paper proposes an algebraic representation of the error bound using Gröbner base. The algebraic representation enables to decrease the computational cost of the error bound considerably. Moreover, using singular points of the algebraic representation, we can obtain accurate break points of the error bound by collisions.
Electromagnetism Unit of an Introductory University Physics Course: The Influence of a Reform-Based Tutorial

ERIC Educational Resources Information Center

Barrett, Sarah Elizabeth; Hazari, Zahra; Fatholahzadeh, Baharak; Harrison, David M.

2012-01-01

Many students enrolled in university physics have little interest in the subject matter, a trend more pronounced in females. This study assesses students' conceptual understanding and interest during the electrochemistry unit of a physics course for nonphysics majors that was revised in light of consistently low ratings from its students. The…
Physical Practice and Wellness Courses Reduce Distress and Improve Wellbeing in Police Officers.

PubMed

Acquadro Maran, Daniela; Zedda, Massimo; Varetto, Antonella

2018-03-23

The aim of this work was to evaluate a course to reduce distress in an Italian police force. Based on the findings from the first investigations on this population, courses to improve the ability to manage distress were tailored by management. Several free courses were proposed, including physical efficiency (e.g., total body conditioning) and wellness (e.g., autogenic training) classes. The goal of this research was to evaluate the courses and their impact on the perceived distress and general health of the participants, as well as the effectiveness in increasing the use of adaptive coping strategies. A descriptive investigation was conducted involving a sample of 105 police officers before (time 1) and after (time 2) they had participated in the courses. Findings confirmed both physical and wellness courses affected, in participants, the perceived distress, thereby increasing the perception of wellbeing. The participants expressed having mental health benefits, the use of adaptive coping strategies increased, while the maladaptive coping strategies decreased. This study confirms that these courses could effectively reduce the risk of chronic disease, a consequence of persistent exposure to distress.
Quantum cluster algebras and quantum nilpotent algebras.

PubMed

Goodearl, Kenneth R; Yakimov, Milen T

2014-07-08

A major direction in the theory of cluster algebras is to construct (quantum) cluster algebra structures on the (quantized) coordinate rings of various families of varieties arising in Lie theory. We prove that all algebras in a very large axiomatically defined class of noncommutative algebras possess canonical quantum cluster algebra structures. Furthermore, they coincide with the corresponding upper quantum cluster algebras. We also establish analogs of these results for a large class of Poisson nilpotent algebras. Many important families of coordinate rings are subsumed in the class we are covering, which leads to a broad range of applications of the general results to the above-mentioned types of problems. As a consequence, we prove the Berenstein-Zelevinsky conjecture [Berenstein A, Zelevinsky A (2005) Adv Math 195:405-455] for the quantized coordinate rings of double Bruhat cells and construct quantum cluster algebra structures on all quantum unipotent groups, extending the theorem of Geiß et al. [Geiß C, et al. (2013) Selecta Math 19:337-397] for the case of symmetric Kac-Moody groups. Moreover, we prove that the upper cluster algebras of Berenstein et al. [Berenstein A, et al. (2005) Duke Math J 126:1-52] associated with double Bruhat cells coincide with the corresponding cluster algebras.
Quantum cluster algebras and quantum nilpotent algebras

PubMed Central

Goodearl, Kenneth R.; Yakimov, Milen T.

2014-01-01

A major direction in the theory of cluster algebras is to construct (quantum) cluster algebra structures on the (quantized) coordinate rings of various families of varieties arising in Lie theory. We prove that all algebras in a very large axiomatically defined class of noncommutative algebras possess canonical quantum cluster algebra structures. Furthermore, they coincide with the corresponding upper quantum cluster algebras. We also establish analogs of these results for a large class of Poisson nilpotent algebras. Many important families of coordinate rings are subsumed in the class we are covering, which leads to a broad range of applications of the general results to the above-mentioned types of problems. As a consequence, we prove the Berenstein–Zelevinsky conjecture [Berenstein A, Zelevinsky A (2005) Adv Math 195:405–455] for the quantized coordinate rings of double Bruhat cells and construct quantum cluster algebra structures on all quantum unipotent groups, extending the theorem of Geiß et al. [Geiß C, et al. (2013) Selecta Math 19:337–397] for the case of symmetric Kac–Moody groups. Moreover, we prove that the upper cluster algebras of Berenstein et al. [Berenstein A, et al. (2005) Duke Math J 126:1–52] associated with double Bruhat cells coincide with the corresponding cluster algebras. PMID:24982197
Combination of the Research-Based Learning Method with the Modern Physics Experiment Course Teaching

ERIC Educational Resources Information Center

Liu, Xiaolai; Li, Qinghuai

2011-01-01

It has been the hotspot to reconstruct the education course based on the research-based learning in the course reform in many countries in recent years. The new course standard of China insists that the teaching is the interactive process that teachers and students communicate and develop together. In the teaching, the relationship between…
The Progression of Podcasting/Vodcasting in a Technical Physics Class

NASA Astrophysics Data System (ADS)

Glanville, Y. J.

2010-11-01

Technology such as Microsoft PowerPoint presentations, clickers, podcasting, and learning management suites is becoming prevalent in classrooms. Instructors are using these media in both large lecture hall settings and small classrooms with just a handful of students. Traditionally, each of these media is instructor driven. For instance, podcasting (audio recordings) provided my technical physics course with supplemental notes to accompany a traditional algebra-based physics lecture. Podcasting is an ideal tool for this mode of instruction, but podcasting/vodcasting is also an ideal technique for student projects and student-driven learning. I present here the various podcasting/vodcasting projects my students and I have undertaken over the last few years.
Developing the learning physical science curriculum: Adapting a small enrollment, laboratory and discussion based physical science course for large enrollments

NASA Astrophysics Data System (ADS)

Goldberg, Fred; Price, Edward; Robinson, Stephen; Boyd-Harlow, Danielle; McKean, Michael

2012-06-01

We report on the adaptation of the small enrollment, lab and discussion based physical science course, Physical Science and Everyday Thinking (PSET), for a large-enrollment, lecture-style setting. Like PSET, the new Learning Physical Science (LEPS) curriculum was designed around specific principles based on research on learning to meet the needs of nonscience students, especially prospective and practicing elementary and middle school teachers. We describe the structure of the two curricula and the adaptation process, including a detailed comparison of similar activities from the two curricula and a case study of a LEPS classroom implementation. In LEPS, short instructor-guided lessons replace lengthier small group activities, and movies, rather than hands-on investigations, provide the evidence used to support and test ideas. LEPS promotes student peer interaction as an important part of sense making via “clicker” questions, rather than small group and whole class discussions typical of PSET. Examples of student dialog indicate that this format is capable of generating substantive student discussion and successfully enacting the design principles. Field-test data show similar student content learning gains with the two curricula. Nevertheless, because of classroom constraints, some important practices of science that were an integral part of PSET were not included in LEPS.
Application of Algebra Curriculum-Based Measurements for Decision Making in Middle and High School

ERIC Educational Resources Information Center

Johnson, Evelyn S.; Galow, Patricia A.; Allenger, Robert

2013-01-01

This article reports the results of a study examining the utility of curriculum-based measurement (CBM) in algebra for predicting performance on a state math assessment and informing instructional placement decisions for students in seventh, eighth, and tenth grades. Students completed six Basic Skills algebra probes across different time…
Girls, boys and conceptual physics: An evaluation of a senior secondary physics course

NASA Astrophysics Data System (ADS)

Woolnough, J. A.; Cameron, R. S.

1991-12-01

This paper reports an evaluation of the physics course at Dickson College (ACT) looking at students' high school experience, their expectations before beginning and their impressions and feelings during the course. In general, students seem to have a fairly negative approach to physics, enrolling for a variety of often vague utilitarian reasons but with little expectation of enjoyment or interest. These opinions were most prevalent in girls who tend to find the content difficult and the course as a whole uninteresting. There is also a significant difference between girls and boys in their response to different types of assessment items. In an attempt to enhance the level of interest and enjoyment in students we have been phasing in a more ‘conceptual’ approach to the teaching of physics.
Foundations of Algebra: 2009-10. Implementation Insights. E&R Report No. 10.28

ERIC Educational Resources Information Center

Paeplow, Colleen

2010-01-01

This report examined the implementation of Foundations of Algebra, a course designed to provide high school students with low mathematics performance an extra opportunity to review and study foundational mathematics concepts prior to enrolling in Introductory Mathematics and subsequently Algebra I. In the fall of 2009, 877 high school students…
Developing and validating a conceptual survey to assess introductory physics students’ understanding of magnetism

NASA Astrophysics Data System (ADS)

Li, Jing; Singh, Chandralekha

2017-03-01

Development of validated physics surveys on various topics is important for investigating the extent to which students master those concepts after traditional instruction and for assessing innovative curricula and pedagogies that can improve student understanding significantly. Here, we discuss the development and validation of a conceptual multiple-choice survey related to magnetism suitable for introductory physics courses. The survey was developed taking into account common students’ difficulties with magnetism concepts covered in introductory physics courses found in our investigation and the incorrect choices to the multiple-choice questions were designed based upon those common student difficulties. After the development and validation of the survey, it was administered to introductory physics students in various classes in paper-pencil format before and after traditional lecture-based instruction in relevant concepts. We compared the performance of students on the survey in the algebra-based and calculus-based introductory physics courses before and after traditional lecture-based instruction in relevant magnetism concepts. We discuss the common difficulties of introductory physics students with magnetism concepts we found via the survey. We also administered the survey to upper-level undergraduates majoring in physics and PhD students to benchmark the survey and compared their performance with those of traditionally taught introductory physics students for whom the survey is intended. A comparison with the base line data on the validated magnetism survey from traditionally taught introductory physics courses and upper-level undergraduate and PhD students discussed in this paper can help instructors assess the effectiveness of curricula and pedagogies which is especially designed to help students integrate conceptual and quantitative understanding and develop a good grasp of the concepts. In particular, if introductory physics students’ average
Robot Control Based On Spatial-Operator Algebra

NASA Technical Reports Server (NTRS)

Rodriguez, Guillermo; Kreutz, Kenneth K.; Jain, Abhinandan

1992-01-01

Method for mathematical modeling and control of robotic manipulators based on spatial-operator algebra providing concise representation and simple, high-level theoretical frame-work for solution of kinematical and dynamical problems involving complicated temporal and spatial relationships. Recursive algorithms derived immediately from abstract spatial-operator expressions by inspection. Transition from abstract formulation through abstract solution to detailed implementation of specific algorithms to compute solution greatly simplified. Complicated dynamical problems like two cooperating robot arms solved more easily.
Proof in Algebra: Reasoning beyond Examples

ERIC Educational Resources Information Center

Otten, Samuel; Herbel-Eisenmann, Beth A.; Males, Lorraine M.

2010-01-01

The purpose of this article is to provide an image of what proof could look like in beginning algebra, a course that nearly every secondary school student encounters. The authors present an actual classroom vignette in which a rich opportunity for student reasoning arose. After analyzing the proof schemes at play, the authors provide a…
Negative base encoding in optical linear algebra processors

NASA Technical Reports Server (NTRS)

Perlee, C.; Casasent, D.

1986-01-01

In the digital multiplication by analog convolution algorithm, the bits of two encoded numbers are convolved to form the product of the two numbers in mixed binary representation; this output can be easily converted to binary. Attention is presently given to negative base encoding, treating base -2 initially, and then showing that the negative base system can be readily extended to any radix. In general, negative base encoding in optical linear algebra processors represents a more efficient technique than either sign magnitude or 2's complement encoding, when the additions of digitally encoded products are performed in parallel.
Teachers' Understanding of Algebraic Generalization

NASA Astrophysics Data System (ADS)

Hawthorne, Casey Wayne

Generalization has been identified as a cornerstone of algebraic thinking (e.g., Lee, 1996; Sfard, 1995) and is at the center of a rich conceptualization of K-8 algebra (Kaput, 2008; Smith, 2003). Moreover, mathematics teachers are being encouraged to use figural-pattern generalizing tasks as a basis of student-centered instruction, whereby teachers respond to and build upon the ideas that arise from students' explorations of these activities. Although more and more teachers are engaging their students in such generalizing tasks, little is known about teachers' understanding of generalization and their understanding of students' mathematical thinking in this domain. In this work, I addressed this gap, exploring the understanding of algebraic generalization of 4 exemplary 8th-grade teachers from multiple perspectives. A significant feature of this investigation is an examination of teachers' understanding of the generalization process, including the use of algebraic symbols. The research consisted of two phases. Phase I was an examination of the teachers' understandings of the underlying quantities and quantitative relationships represented by algebraic notation. In Phase II, I observed the instruction of 2 of these teachers. Using the lens of professional noticing of students' mathematical thinking, I explored the teachers' enacted knowledge of algebraic generalization, characterizing how it supported them to effectively respond to the needs and queries of their students. Results indicated that teachers predominantly see these figural patterns as enrichment activities, disconnected from course content. Furthermore, in my analysis, I identified conceptual difficulties teachers experienced when solving generalization tasks, in particular, connecting multiple symbolic representations with the quantities in the figures. Moreover, while the teachers strived to overcome the challenges of connecting different representations, they invoked both productive and unproductive
A Course Evolves-Physical Anthropology.

ERIC Educational Resources Information Center

O'Neil, Dennis

2001-01-01

Describes the development of an online physical anthropology course at Palomar College (California) that evolved from online tutorials. Discusses the ability to update materials on the Web more quickly than in traditional textbooks; creating Web pages that are readable by most Web browsers; test security issues; and clarifying ownership of online…
Increasing Student Success in Large Survey Science Courses via Supplemental Instruction in Learning Centers

NASA Astrophysics Data System (ADS)

Hooper, Eric Jon; Nossal, S.; Watson, L.; Timbie, P.

2010-05-01

Large introductory astronomy and physics survey courses can be very challenging and stressful. The University of Wisconsin-Madison Physics Learning Center (PLC) reaches about 10 percent of the students in four introductory physics courses, algebra and calculus based versions of both classical mechanics and electromagnetism. Participants include those potentially most vulnerable to experiencing isolation and hence to having difficulty finding study partners as well as students struggling with the course. They receive specially written tutorials, conceptual summaries, and practice problems; exam reviews; and most importantly, membership in small groups of 3 - 8 students which meet twice per week in a hybrid of traditional teaching and tutoring. Almost all students who regularly participate in the PLC earn at least a "C,” with many earning higher grades. The PLC works closely with other campus programs which seek to increase the participation and enhance the success of underrepresented minorities, first generation college students, and students from lower-income circumstances; and it is well received by students, departmental faculty, and University administration. The PLC staff includes physics education specialists and research scientists with a passion for education. However, the bulk of the teaching is conducted by undergraduates who are majoring in physics, astronomy, mathematics, engineering, and secondary science teaching (many have multiple majors). The staff train these enthusiastic students, denoted Peer Mentor Tutors (PMTs) in general pedagogy and mentoring strategies, as well as the specifics of teaching the physics covered in the course. The PMTs are among the best undergraduates at the university. While currently there is no UW-Madison learning center for astronomy courses, establishing one is a possible future direction. The introductory astronomy courses cater to non-science majors and consequently are less quantitative. However, the basic structure

Physlets and Web-based Physics Curricular Material

NASA Astrophysics Data System (ADS)

Cain, L. S.; Boye, D. M.; Christian, W.

1998-11-01

The WWW provides the most uniformly standardized and stable mode of networked information sharing available to date. Physlets, scriptable Java applets specific to physics pedagogy, provide the source around which interactive exercises can be created across the physics curriculum. We have developed WWW-based curricular materials appropriate for courses at the introductory and intermediate level. These include interactive demonstrations, homework assignments, pre-lab and post-lab exercises. A variety of examples, which have been used in courses in musical technology, general physics, physics for non-science majors, and modern physics, will be discussed.
Assessing Learning in Small Sized Physics Courses

ERIC Educational Resources Information Center

Ene, Emanuela; Ackerson, Bruce J.

2018-01-01

We describe the construction, validation, and testing of a concept inventory for an "Introduction to Physics of Semiconductors" course offered by the department of physics to undergraduate engineering students. By design, this inventory addresses both content knowledge and the ability to interpret content via different cognitive…
The Impact of the Louisiana State University Physics Entrance Requirement on Secondary Physics in Louisiana

NASA Astrophysics Data System (ADS)

McCoy, Michael Hanson

State Department of Education data was examined to determine the number of students enrolled in physics, physics class number, physics teacher number, and physics teacher certification. Census data from public and nonpublic school teachers, principals, and superintendents was analyzed. Purposive sampling of seven public and four nonpublic schools was used for site visitation including observations of physics classes, interviews of teachers and principals, and document acquisition. The literature base was drawn from a call for an increase in academic requirements in the sciences by the National Commission on Excellence in Education, the Southern Regional Education Board, the American Association for Advancement in the Sciences, and numerous state boards of education. LSU is the only major state university to require physics as an academic admission standard. Curriculum changes which influenced general curriculum change were: leveling of physics classes; stressing concepts, algebra, and doing problems in level-one; stressing trigonometry and problem solving in level-two; and increased awareness of expectations for university admission. Certified physics teachers were positive toward the requirement. The majority adopted a "wait-and-see" attitude to see if the university would institute the physics standard. Some physics teachers, nonphysics majors, were opposed to the requirement. Those who were positive remained positive. Those who developed the wait-and-see adopted the leveled physics course concept in 1989 and were positive toward the requirement. College-bound physics was taught prior to the requirement. The State Department of Education leveled physics in 1989. Level-one physics was algebra and conceptual based, level-two physics was trigonometry based, and a level-three physics, advanced placement was added. Enrollment doubled in public schools and increased 40% in nonpublic schools. African-American enrollment almost doubled in public and nonpublic schools
Integrating physical examination and trunk anatomy; a new course for second year medical students.

PubMed

Adibi, Iman; Hasani, Nasibeh; Ashoorioun, Vahid; Sadrearhami, Shohreh; Monajemi, Ali Reza

2007-11-01

The aim of this study was to determine the effect of an integrated course of physical examination and trunk anatomy on second year medical students' attitude and knowledge of anatomy. Thirty nine second year medical students attended a physical examination course (5 small group sessions) related to topics in trunk anatomy (2004/05). Students in control group attended routine anatomy lectures and problem based learning discussions relevant to their physiology course. Routine final anatomy exam (65 multiple choices questions) was performed. Attitude toward course impacts in intervention group were assessed by a likert questionnaire (18 items). A T-test was performed to compare anatomy scores. The Intervention group had higher score exam anatomy (46.6 +/- 6.3) than others (41.4 +/- 6.0, p = 0.04). The mean score of attitude questionnaire was 3.48 (SD = 0.8). In conclusion teaching physical examinations integrated with trunk anatomy improves students' knowledge and motivated them in learning anatomy.
Locally Compact Quantum Groups. A von Neumann Algebra Approach

NASA Astrophysics Data System (ADS)

Van Daele, Alfons

2014-08-01

In this paper, we give an alternative approach to the theory of locally compact quantum groups, as developed by Kustermans and Vaes. We start with a von Neumann algebra and a comultiplication on this von Neumann algebra. We assume that there exist faithful left and right Haar weights. Then we develop the theory within this von Neumann algebra setting. In [Math. Scand. 92 (2003), 68-92] locally compact quantum groups are also studied in the von Neumann algebraic context. This approach is independent of the original C^*-algebraic approach in the sense that the earlier results are not used. However, this paper is not really independent because for many proofs, the reader is referred to the original paper where the C^*-version is developed. In this paper, we give a completely self-contained approach. Moreover, at various points, we do things differently. We have a different treatment of the antipode. It is similar to the original treatment in [Ann. Sci. & #201;cole Norm. Sup. (4) 33 (2000), 837-934]. But together with the fact that we work in the von Neumann algebra framework, it allows us to use an idea from [Rev. Roumaine Math. Pures Appl. 21 (1976), 1411-1449] to obtain the uniqueness of the Haar weights in an early stage. We take advantage of this fact when deriving the other main results in the theory. We also give a slightly different approach to duality. Finally, we collect, in a systematic way, several important formulas. In an appendix, we indicate very briefly how the C^*-approach and the von Neumann algebra approach eventually yield the same objects. The passage from the von Neumann algebra setting to the C^*-algebra setting is more or less standard. For the other direction, we use a new method. It is based on the observation that the Haar weights on the C^*-algebra extend to weights on the double dual with central support and that all these supports are the same. Of course, we get the von Neumann algebra by cutting down the double dual with this unique
Developing Conceptual Understanding and Definitional Clarity in Linear Algebra through the Three Worlds of Mathematical Thinking

ERIC Educational Resources Information Center

Hannah, John; Stewart, Sepideh; Thomas, Michael

2016-01-01

Linear algebra is one of the first abstract mathematics courses that students encounter at university. Research shows that many students find the dense presentation of definitions, theorems and proofs difficult to comprehend. Using a case study approach, we report on a teaching intervention based on Tall's three worlds (embodied, symbolic and…
Students' confidence in the ability to transfer basic math skills in introductory physics and chemistry courses at a community college

NASA Astrophysics Data System (ADS)

Quinn, Reginald

2013-01-01

The purpose of this study was to examine the confidence levels that community college students have in transferring basic math skills to science classes, as well as any factors that influence their confidence levels. This study was conducted with 196 students at a community college in central Mississippi. The study was conducted during the month of November after all of the students had taken their midterm exams and received midterm grades. The instrument used in this survey was developed and validated by the researcher. The instrument asks the students to rate how confident they were in working out specific math problems and how confident they were in working problems using those specific math skills in physics and chemistry. The instrument also provided an example problem for every confidence item. Results revealed that students' demographics were significant predictors in confidence scores. Students in the 18-22 year old range were less confident in solving math problems than others. Students who had retaken a math course were less confident than those who had not. Chemistry students were less confident in solving math problems than those in physics courses. Chemistry II students were less confident than those in Chemistry I and Principals of Chemistry. Students were least confident in solving problems involving logarithms and the most confident in solving algebra problems. In general, students felt that their math courses did not prepare them for the math problems encountered in science courses. There was no significant difference in confidence between students who had completed their math homework online and those who had completed their homework on paper. The researcher recommends that chemistry educators find ways of incorporating more mathematics in their courses especially logarithms and slope. Furthermore, math educators should incorporate more chemistry related applications to math class. Results of hypotheses testing, conclusions, discussions, and
Undergraduate physics course innovations and their impact on student learning

NASA Astrophysics Data System (ADS)

Iverson, Heidi Louise

Over the last several decades, the efficacy of the traditional lecture-based instructional model for undergraduate physics courses has been challenged. As a result, a large number of reform-oriented instructional innovations have been developed, enacted, and studied in undergraduate physics courses around the globe---all with the intended purpose of improving student learning. This thesis satisfies the need for a comprehensive synthesis of the effectiveness of these course innovations by analyzing: (1) the types of innovations that have been enacted, (2) the impact of these innovations on student learning, and (3) the common features of effective innovations. An exhaustive literature search for studies published after 1990 on undergraduate physics course innovations yielded 432 articles which were then coded with respect to the characteristics of the innovations used as well as the methodological characteristics of the studies. These codes facilitated a descriptive analysis which characterized the features of the pool of studies. These studies were then meta-analyzed in order to evaluate the effect of innovations on student learning. Finally, a case-study analysis was conducted in order to identify the critical characteristics of effective innovations. Results indicate that most innovations focus on introductory mechanics and use some combination of conceptually oriented tasks, collaborative learning, and technology. The overall effect of course innovations has been positive, but with the caveat that a large number of studies suffer from poor methodological designs and potential threats to validity. In addition, over half of the studies had to be eliminated from the meta-analysis because they did not report the data necessary for an effect size to be calculated. Despite these limitations the results of the meta-analysis indicated that there was one innovation which had particularly high effect sizes---Workshop/Studio Physics---an innovation which involves an
Systems with outer constraints. Gupta-Bleuler electromagnetism as an algebraic field theory

NASA Astrophysics Data System (ADS)

Grundling, Hendrik

1988-03-01

Since there are some important systems which have constraints not contained in their field algebras, we develop here in a C*-context the algebraic structures of these. The constraints are defined as a group G acting as outer automorphisms on the field algebra ℱ, α: G ↦ Aut ℱ, α G ⊄ Inn ℱ, and we find that the selection of G-invariant states on ℱ is the same as the selection of states ω on M( G M(Gmathop × limits_α F) ℱ) by ω( U g)=1∨ g∈ G, where U g ∈ M ( G M(Gmathop × limits_α F) ℱ)/ℱ are the canonical elements implementing α g . These states are taken as the physical states, and this specifies the resulting algebraic structure of the physics in M( G M(Gmathop × limits_α F) ℱ), and in particular the maximal constraint free physical algebra ℛ. A nontriviality condition is given for ℛ to exist, and we extend the notion of a crossed product to deal with a situation where G is not locally compact. This is necessary to deal with the field theoretical aspect of the constraints. Next the C*-algebra of the CCR is employed to define the abstract algebraic structure of Gupta-Bleuler electromagnetism in the present framework. The indefinite inner product representation structure is obtained, and this puts Gupta-Bleuler electromagnetism on a rigorous footing. Finally, as a bonus, we find that the algebraic structures just set up, provide a blueprint for constructive quadratic algebraic field theory.
Algebra Matters: An Ethnographic Study of Successful African American Male Algebra 1 Students in a Suburban Middle School

ERIC Educational Resources Information Center

Kirkwood, Kirk

2012-01-01

Alarming statistics reveal that African American male students are encountering long-standing challenges in K-12 mathematics. However, few studies have explored the phenomena associated with African American males and K-12 mathematics education, particularly at the middle school level in the context of an Algebra 1 course of study. The purpose of…
"Shut up and calculate": the available discursive positions in quantum physics courses

NASA Astrophysics Data System (ADS)

Johansson, Anders; Andersson, Staffan; Salminen-Karlsson, Minna; Elmgren, Maja

2018-03-01

Educating new generations of physicists is often seen as a matter of attracting good students, teaching them physics and making sure that they stay at the university. Sometimes, questions are also raised about what could be done to increase diversity in recruitment. Using a discursive perspective, in this study of three introductory quantum physics courses at two Swedish universities, we instead ask what it means to become a physicist, and whether certain ways of becoming a physicist and doing physics is privileged in this process. Asking the question of what discursive positions are made accessible to students, we use observations of lectures and problem solving sessions together with interviews with students to characterize the discourse in the courses. Many students seem to have high expectations for the quantum physics course and generally express that they appreciate the course more than other courses. Nevertheless, our analysis shows that the ways of being a "good quantum physics student" are limited by the dominating focus on calculating quantum physics in the courses. We argue that this could have negative consequences both for the education of future physicists and the discipline of physics itself, in that it may reproduce an instrumental "shut up and calculate"-culture of physics, as well as an elitist physics education. Additionally, many students who take the courses are not future physicists, and the limitation of discursive positions may also affect these students significantly.
Constructing Meanings and Utilities within Algebraic Tasks

ERIC Educational Resources Information Center

Ainley, Janet; Bills, Liz; Wilson, Kirsty

2004-01-01

The Purposeful Algebraic Activity project aims to explore the potential of spreadsheets in the introduction to algebra and algebraic thinking. We discuss two sub-themes within the project: tracing the development of pupils' construction of meaning for variable from arithmetic-based activity, through use of spreadsheets, and into formal algebra,…
Physics Myth Busting: A Lab-Centered Course for Non-Science Students

ERIC Educational Resources Information Center

Madsen, Martin John

2011-01-01

There is ongoing interest in how and what we teach in physics courses for non-science students, so-called "physics for poets" courses. Art Hobson has effectively argued that teaching science literacy should be a key ingredient in these courses. Hobson uses Jon Millers definition of science literacy, which has two components: first, "a basic…
From "F = ma" to Flying Squirrels: Curricular Change in an Introductory Physics Course

ERIC Educational Resources Information Center

O'Shea, Brian; Terry, Laura; Benenson, Walter

2013-01-01

We present outcomes from curricular changes made to an introductory calculus-based physics course whose audience is primarily life sciences majors, the majority of whom plan to pursue postbaccalaureate studies in medical and scientific fields. During the 2011-2012 academic year, we implemented a Physics of the Life Sciences curriculum centered on…
Instructors' Support of Student Autonomy in an Introductory Physics Course

NASA Astrophysics Data System (ADS)

Hall, Nicholas; Webb, David

2014-12-01

The role of autonomy in the student experience in a large-enrollment undergraduate introductory physics course was studied from a self-determination theory perspective. A correlational study investigated whether certain aspects of the student experience correlated with how autonomy supportive (versus controlling) students perceived their instructors to be. An autonomy-supportive instructor acknowledges students' perspectives and feelings and provides students with information and opportunities for choice while minimizing external pressures (e.g., incentives or deadlines). It was found that the degree to which students perceived their instructors as autonomy supportive was positively correlated with student interest and enjoyment in learning physics (β =0.31***) and negatively correlated with student anxiety about taking physics (β =-0.23**). It was also positively correlated with how autonomous (versus controlled) students' reasons for studying physics became over the duration of the course (i.e., studying physics more because they wanted to versus had to; β =0.24***). This change in autonomous reasons for studying physics was in turn positively correlated with student performance in the course (β =0.17*). Additionally, the degree to which students perceived their instructors as autonomy supportive was directly correlated with performance for those students entering the course with relatively autonomous reasons for studying physics (β =0.25**). In summary, students who perceived their instructors as more autonomy supportive tended to have a more favorable motivational, affective, and performance experience in the course. The findings of the present study are consistent with experimental studies in other contexts that argue for autonomy-supportive instructor behaviors as the cause of a more favorable student experience.
Using Google Earth and Satellite Imagery to Foster Place-Based Teaching in an Introductory Physical Geology Course

ERIC Educational Resources Information Center

Monet, Julie; Greene, Todd

2012-01-01

Students in an introductory physical geology course often have difficulty making connections between basic course topics and assembling key concepts (beyond textbook examples) to interpret how geologic processes shape the characteristics of the local and regional natural environment. As an approach to address these issues, we designed and…
Relativistic Causality and Quasi-Orthomodular Algebras

NASA Astrophysics Data System (ADS)

Nobili, Renato

2006-05-01

The concept of fractionability or decomposability in parts of a physical system has its mathematical counterpart in the lattice--theoretic concept of orthomodularity. Systems with a finite number of degrees of freedom can be decomposed in different ways, corresponding to different groupings of the degrees of freedom. The orthomodular structure of these simple systems is trivially manifest. The problem then arises as to whether the same property is shared by physical systems with an infinite number of degrees of freedom, in particular by the quantum relativistic ones. The latter case was approached several years ago by Haag and Schroer (1962; Haag, 1992) who started from noting that the causally complete sets of Minkowski spacetime form an orthomodular lattice and posed the question of whether the subalgebras of local observables, with topological supports on such subsets, form themselves a corresponding orthomodular lattice. Were it so, the way would be paved to interpreting spacetime as an intrinsic property of a local quantum field algebra. Surprisingly enough, however, the hoped property does not hold for local algebras of free fields with superselection rules. The possibility seems to be instead open if the local currents that govern the superselection rules are driven by gauge fields. Thus, in the framework of local quantum physics, the request for algebraic orthomodularity seems to imply physical interactions! Despite its charm, however, such a request appears plagued by ambiguities and criticities that make of it an ill--posed problem. The proposers themselves, indeed, concluded that the orthomodular correspondence hypothesis is too strong for having a chance of being practicable. Thus, neither the idea was taken seriously by the proposers nor further investigated by others up to a reasonable degree of clarification. This paper is an attempt to re--formulate and well--pose the problem. It will be shown that the idea is viable provided that the algebra of
Curricula Alignment and Its Impact on End of Course Assessment Scores

ERIC Educational Resources Information Center

Burti, Neil, Jr.

2011-01-01

The purpose of this mixed methods study was to examine the alignment of the written, enacted, and tested Algebra I curricula in the Cherry Hill (NJ) Public School District. Furthermore, this QUAN-QUAL study sought to determine the impact of course selection (Algebra I, Enriched Algebra) on achievement as measured by the Algebra I End of Course…
Investigating the use of mastery-style online homework exercises in introductory algebra-based mechanics in a controlled clinical study

NASA Astrophysics Data System (ADS)

Evans, William R.; Selen, Mats A.

2017-12-01

Homework in introductory physics represents an important part of a student's learning experience; therefore, choosing the manner in which homework is presented merits investigation. We performed three rounds of clinical trials comparing the effects of mastery-style homework vs traditional-style homework with students in both algebra-based and calculus-based introductory mechanics. Results indicate a benefit from mastery-style over traditional-style homework, principally for weaker students who are less familiar with the material being covered and on questions that are nearer transfer to the study materials.
Learning Content, Physics Self-Efficacy, and Female Students' Physics Course-Taking

ERIC Educational Resources Information Center

Zhu, Zheng

2007-01-01

A review of literature reveals that self-efficacy (SE) has been shown as a successful predictor of students' course-taking. Many factors have been reported to have influences on physics self-efficacy (PSE), but most of them are contextual variables. This article suggests that learning content is also an influencing factor. Physics learning content…

Preparing Future Teachers to Anticipate Student Difficulties in Physics in a Graduate-Level Course in Physics, Pedagogy, and Education Research

ERIC Educational Resources Information Center

Thompson, John R.; Christensen, Warren M.; Wittmann, Michael C.

2011-01-01

We describe courses designed to help future teachers reflect on and discuss both physics content and student knowledge thereof. We use three kinds of activities: reading and discussing the literature, experiencing research-based curricular materials, and learning to use the basic research methods of physics education research. We present a general…
A Linear Algebraic Approach to Teaching Interpolation

ERIC Educational Resources Information Center

Tassa, Tamir

2007-01-01

A novel approach for teaching interpolation in the introductory course in numerical analysis is presented. The interpolation problem is viewed as a problem in linear algebra, whence the various forms of interpolating polynomial are seen as different choices of a basis to the subspace of polynomials of the corresponding degree. This approach…
Innovative Interactive Lecture Demonstrations Using Wireless Force Sensors and Accelerometers for Introductory Physics Courses

NASA Astrophysics Data System (ADS)

Yoder, G.; Cook, J.

2010-12-01

Interactive lecture demonstrations1-6 (ILDs) are a powerful tool designed to help instructors bring state-of-the-art teaching pedagogies into the college-level introductory physics classroom. ILDs have been shown to improve students' conceptual understanding, and many examples have been created and published by Sokoloff and Thornton.6 We have used the new technology of Vernier's Wireless Dynamics Sensor System (WDSS)7 to develop three new ILDs for the first-semester introductory physics (calculus-based or algebra-based) classroom. These three are the Force Board, to demonstrate the vector nature of forces, addition of vectors, and the first condition of equilibrium; the Torque Board, to demonstrate torque and the second condition for equilibrium; and the Circular Motion Board, to discover the nature of the acceleration an object exhibiting uniform circular motion. With the WDSS, all three of these ILDs are easy to set up and use in any classroom or laboratory situation, and allow more instructors to utilize the technique of interactive lecture demonstrations.
Preparing future teachers to anticipate student difficulties in physics in a graduate-level course in physics, pedagogy, and education research

NASA Astrophysics Data System (ADS)

Thompson, John R.; Christensen, Warren M.; Wittmann, Michael C.

2011-06-01

We describe courses designed to help future teachers reflect on and discuss both physics content and student knowledge thereof. We use three kinds of activities: reading and discussing the literature, experiencing research-based curricular materials, and learning to use the basic research methods of physics education research. We present a general overview of the two courses we have designed as well as a framework for assessing student performance on physics content knowledge and one aspect of pedagogical content knowledge—knowledge of student ideas—about one particular content area: electric circuits. We find that the quality of future teachers’ responses, especially on questions dealing with knowledge of student ideas, can be successfully categorized and may be higher for those with a nonphysics background than those with a physics background.
Exergames for Physical Education Courses: Physical, Social, and Cognitive Benefits.

PubMed

Staiano, Amanda E; Calvert, Sandra L

2011-06-01

Digital games combining exercise with game play, known as exergames, can improve youths' health status and provide social and academic benefits. Exergame play increases caloric expenditure, heart rate, and coordination. Psychosocial and cognitive impacts of exergame play may include increased self-esteem, social interaction, motivation, attention, and visual-spatial skills. This article summarizes the literature on exergames, with a special emphasis on physical education courses and the potential of exergames to improve students' physical health, as well as transfer effects that may benefit related physical, social, and academic outcomes.
Exergames for Physical Education Courses: Physical, Social, and Cognitive Benefits

PubMed Central

Staiano, Amanda E.; Calvert, Sandra L.

2012-01-01

Digital games combining exercise with game play, known as exergames, can improve youths’ health status and provide social and academic benefits. Exergame play increases caloric expenditure, heart rate, and coordination. Psychosocial and cognitive impacts of exergame play may include increased self-esteem, social interaction, motivation, attention, and visual–spatial skills. This article summarizes the literature on exergames, with a special emphasis on physical education courses and the potential of exergames to improve students’ physical health, as well as transfer effects that may benefit related physical, social, and academic outcomes. PMID:22563349
Evaluation of an advanced physical diagnosis course using consumer preferences methods: the nominal group technique.

PubMed

Coker, Joshua; Castiglioni, Analia; Kraemer, Ryan R; Massie, F Stanford; Morris, Jason L; Rodriguez, Martin; Russell, Stephen W; Shaneyfelt, Terrance; Willett, Lisa L; Estrada, Carlos A

2014-03-01

Current evaluation tools of medical school courses are limited by the scope of questions asked and may not fully engage the student to think on areas to improve. The authors sought to explore whether a technique to study consumer preferences would elicit specific and prioritized information for course evaluation from medical students. Using the nominal group technique (4 sessions), 12 senior medical students prioritized and weighed expectations and topics learned in a 100-hour advanced physical diagnosis course (4-week course; February 2012). Students weighted their top 3 responses (top = 3, middle = 2 and bottom = 1). Before the course, 12 students identified 23 topics they expected to learn; the top 3 were review sensitivity/specificity and high-yield techniques (percentage of total weight, 18.5%), improving diagnosis (13.8%) and reinforce usual and less well-known techniques (13.8%). After the course, students generated 22 topics learned; the top 3 were practice and reinforce advanced maneuvers (25.4%), gaining confidence (22.5%) and learn the evidence (16.9%). The authors observed no differences in the priority of responses before and after the course (P = 0.07). In a physical diagnosis course, medical students elicited specific and prioritized information using the nominal group technique. The course met student expectations regarding education of the evidence-based physical examination, building skills and confidence on the proper techniques and maneuvers and experiential learning. The novel use for curriculum evaluation may be used to evaluate other courses-especially comprehensive and multicomponent courses.
It's a Wonderful Life: Using Public Domain Cinema Clips To Teach Affective Objectives and Illustrate Real-World Algebra Applications.

ERIC Educational Resources Information Center

Palmer, Loretta

A basic algebra unit was developed at Utah Valley State College to emphasize applications of mathematical concepts in the work world, using video and computer-generated graphics to integrate textual material. The course was implemented in three introductory algebra sections involving 80 students and taught algebraic concepts using such areas as…
Physics gains attraction?

NASA Astrophysics Data System (ADS)

2000-01-01

A recent report from the American Institute of Physics has indicated that high school enrolments in physics in the USA have reached their highest level since World War II. Figures for the last decade show an increase in the proportion of high school students taking physics from 20 to 28% (800Â 000 students now), according to Physics Today (October 1999, p 68). The report, Maintaining Momentum: High School Physics for a New Millennium , was based on a 1997 survey of high school physics teachers, the fourth such since the mid-1980s. One conclusion drawn by the report's authors was that a broader range of physics courses is now offered, with increased popularity of `conceptual' physics courses using little algebra or trigonometry over the last ten years. The proportion of students with the strongest maths abilities now taking advanced placement or second-year physics has doubled since 1987. In addition the physics appeal has been noted among high school girls, where the percentage taking physics has risen from 39 to 47% in the ten years to 1997. These female students do not, however, seem to extend their studies into advanced placements or even into teaching physics (women constitute just a quarter of high school teachers of the subject). Sadly the good news is outweighed by the fact that physics still registers the lowest enrolments of all the high school sciences - about half those in chemistry for example. Indeed only around 1% of high school students have taken two years of physics before they graduate, which represents a much lower proportion than in many European and Asian countries. The full report can be viewed at the AIP's statistics division's homepage: www.aip.org/statistics/trends/hstrends.htm whilst summaries of the document are available free from the AIP, Education and Employment Statistics Division, One Physics Ellipse, College Park, MD 20740, USA.
Teaching the "Diagonalization Concept" in Linear Algebra with Technology: A Case Study at Galatasaray University

ERIC Educational Resources Information Center

Yildiz Ulus, Aysegul

2013-01-01

This paper examines experimental and algorithmic contributions of advanced calculators (graphing and computer algebra system, CAS) in teaching the concept of "diagonalization," one of the key topics in Linear Algebra courses taught at the undergraduate level. Specifically, the proposed hypothesis of this study is to assess the effective…
A spatial operator algebra for manipulator modeling and control

NASA Technical Reports Server (NTRS)

Rodriguez, G.; Jain, A.; Kreutz-Delgado, K.

1991-01-01

A recently developed spatial operator algebra for manipulator modeling, control, and trajectory design is discussed. The elements of this algebra are linear operators whose domain and range spaces consist of forces, moments, velocities, and accelerations. The effect of these operators is equivalent to a spatial recursion along the span of a manipulator. Inversion of operators can be efficiently obtained via techniques of recursive filtering and smoothing. The operator algebra provides a high-level framework for describing the dynamic and kinematic behavior of a manipulator and for control and trajectory design algorithms. The interpretation of expressions within the algebraic framework leads to enhanced conceptual and physical understanding of manipulator dynamics and kinematics.
Computer Algebra Systems in Education Newsletter[s].

ERIC Educational Resources Information Center

Computer Algebra Systems in Education Newsletter, 1990

1990-01-01

Computer Algebra Systems (CAS) are computer systems for the exact solution of problems in symbolic form. The newspaper is designed to serve as a conduit for information and ideas on the use of CAS in education, especially in lower division college and university courses. Articles included are about CAS programs in several colleges, experiences…
Using Group Explorer in Teaching Abstract Algebra

ERIC Educational Resources Information Center

Schubert, Claus; Gfeller, Mary; Donohue, Christopher

2013-01-01

This study explores the use of Group Explorer in an undergraduate mathematics course in abstract algebra. The visual nature of Group Explorer in representing concepts in group theory is an attractive incentive to use this software in the classroom. However, little is known about students' perceptions on this technology in learning concepts in…
Duncan F. Gregory, William Walton and the development of British algebra: 'algebraical geometry', 'geometrical algebra', abstraction.

PubMed

Verburgt, Lukas M

2016-01-01

This paper provides a detailed account of the period of the complex history of British algebra and geometry between the publication of George Peacock's Treatise on Algebra in 1830 and William Rowan Hamilton's paper on quaternions of 1843. During these years, Duncan Farquharson Gregory and William Walton published several contributions on 'algebraical geometry' and 'geometrical algebra' in the Cambridge Mathematical Journal. These contributions enabled them not only to generalize Peacock's symbolical algebra on the basis of geometrical considerations, but also to initiate the attempts to question the status of Euclidean space as the arbiter of valid geometrical interpretations. At the same time, Gregory and Walton were bound by the limits of symbolical algebra that they themselves made explicit; their work was not and could not be the 'abstract algebra' and 'abstract geometry' of figures such as Hamilton and Cayley. The central argument of the paper is that an understanding of the contributions to 'algebraical geometry' and 'geometrical algebra' of the second generation of 'scientific' symbolical algebraists is essential for a satisfactory explanation of the radical transition from symbolical to abstract algebra that took place in British mathematics in the 1830s-1840s.
Evaluation of the Physical Activity and Public Health Course for Practitioners

ERIC Educational Resources Information Center

Evenson, Kelly R.; Brown, David R.; Pearce, Emily; Camplain, Ricky; Jernigan, Jan; Epping, Jacqueline; Shepard, Dennis M.; Dorn, Joan M.

2016-01-01

Purpose: From 1996 to 2013, a 6-day Physical Activity and Public Health Course for Practitioners has been offered yearly in the United States. An evaluation was conducted to assess the impact of the course on building public health capacity for physical activity and on shaping the physical activity and public health careers of fellows since taking…
Bush Physics for the 21st Century, A Distance Delivery Physics Course Targeting Students in Rural Alaska and Across the North

NASA Astrophysics Data System (ADS)

Solie, D. J.; Spencer, V. K.

2010-12-01

Bush Physics for the 21st Century brings physics that is engaging to modern youth, and mathematically rigorous, to high school and college students in the remote and often road-less villages of Alaska where the opportunity to take a physics course has been nearly nonexistent. The primary goal of the course is to prepare rural (predominantly Alaska Native) students for success in university science and engineering degree programs and ultimately STEM careers. The course is delivered via video conference and web based electronic blackboard tailored to the needs of remote students. Kinetic, practical and culturally relevant place-based examples from traditional and modern northern life are used to engage students, and a rigorous and mathematical focus is stressed to strengthen problem solving skills. Simple hands-on-lab experiment kits are shipped to the students. In addition students conduct a Collaborative Research Experiment where they coordinate times of sun angle measurements with teams in other villages to determine their latitude and longitude as well as an estimate of the circumference of the earth. Connecting abstract mathematical symbols and equations to real physical objects and problems is one of the most difficult things to master in physics. We introduce Inuktitut symbols to complement the traditional Greek symbols in equations to strengthen the visual/conceptual connection with symbol and encourage an indigenous connection to the physical concepts. Results and observations from the first three pilot semesters (spring 2008, 2009 and 2010) will be presented.
Middle School Math Acceleration and Equitable Access to Eighth-Grade Algebra: Evidence from the Wake County Public School System

ERIC Educational Resources Information Center

Dougherty, Shaun M.; Goodman, Joshua S.; Hill, Darryl V.; Litke, Erica G.; Page, Lindsay C.

2015-01-01

Taking algebra by eighth grade is considered an important milestone on the pathway to college readiness. We highlight a collaboration to investigate one district's effort to increase middle school algebra course-taking. In 2010, the Wake County Public Schools began assigning middle school students to accelerated math and eighth-grade algebra based…
A comparative evaluation of teaching methods in an introductory neuroscience course for physical therapy students.

PubMed

Willett, Gilbert M; Sharp, J Graham; Smith, Lynette M

2008-01-01

The use of computer-based instruction (CBI) in physical therapy education is growing, but its effectiveness compared to lecture is undefined. This study compared CBI to lecture in an introductory neuroscience course for students in their first year of a 3 year professional program leading to the Doctor of Physical Therapy Degree. Twenty-eight students participated in 2003 and 34 in 2004. A randomized, cross-over design was employed. The course was divided into two sections with an exam after each. Students in one group participated in CBI during the first half of the course and lecture during the second half with the order of participation reversed for the other group. A 6 months post-course review exam was also administered. Exam scores, study time, and student opinions regarding teaching methods were collected after each half of the course. Course development costs for both teaching approaches were also documented. There were no statistically significant differences in exam scores between participant groups. CBI students spent less time studying. Student did not distinguish a major preference for either instruction method. Many students preferred that CBI be used as a complementary rather than mutually exclusive instructional method. Lecture-based instruction was much less expensive than CBI. Lecture-based instruction was more cost effective than CBI, but CBI was more time efficient in terms of student learning.
Embodied, Symbolic and Formal Thinking in Linear Algebra

ERIC Educational Resources Information Center

Stewart, Sepideh; Thomas, Michael O. J.

2007-01-01

Students often find their first university linear algebra experience very challenging. While coping with procedural aspects of the subject, solving linear systems and manipulating matrices, they may struggle with crucial conceptual ideas underpinning them, making it very difficult to progress in more advanced courses. This research has sought to…
A Study of Faculty Approaches to Teaching Undergraduate Physical Chemistry Courses

NASA Astrophysics Data System (ADS)

Mack, Michael Ryan

Chemistry education researchers have not adequately studied teaching and learning experiences at all levels in the undergraduate chemistry curriculum leaving gaps in discipline-based STEM education communities understanding about how the upper- division curricula works (National Research Council, 2012b; Towns, 2013). This study explored faculty approaches to teaching in upper-division physical chemistry course settings using an interview-based methodology. Two conceptualizations of approaches to teaching emerged from a phenomenographic analysis of interview transcripts: (1) faculty beliefs about the purposes for teaching physical chemistry and (2) their conceptions of their role as an instructor in these course settings. Faculty who reported beliefs predominantly centered on helping students develop conceptual knowledge and problem-solving skills in physical chemistry often worked with didactic models of teaching, which emphasized the transfer of expert knowledge to students. When faculty expressed beliefs that were more inclusive of conceptual, epistemic, and social learning goals in science education they often described more student-centered models of teaching and learning, which put more responsibilities on them to facilitate students' interactive engagement with the material and peers during regularly scheduled class time. Knowledge of faculty thinking, as evinced in a rich description of their accounts of their experience, provides researchers and professional developers with useful information about the potential opportunities or barriers that exist for helping faculty align their beliefs and goals for teaching with research-based instructional strategies.

Classical versus Computer Algebra Methods in Elementary Geometry

ERIC Educational Resources Information Center

Pech, Pavel

2005-01-01

Computer algebra methods based on results of commutative algebra like Groebner bases of ideals and elimination of variables make it possible to solve complex, elementary and non elementary problems of geometry, which are difficult to solve using a classical approach. Computer algebra methods permit the proof of geometric theorems, automatic…
Category-theoretic models of algebraic computer systems

NASA Astrophysics Data System (ADS)

Kovalyov, S. P.

2016-01-01

A computer system is said to be algebraic if it contains nodes that implement unconventional computation paradigms based on universal algebra. A category-based approach to modeling such systems that provides a theoretical basis for mapping tasks to these systems' architecture is proposed. The construction of algebraic models of general-purpose computations involving conditional statements and overflow control is formally described by a reflector in an appropriate category of algebras. It is proved that this reflector takes the modulo ring whose operations are implemented in the conventional arithmetic processors to the Łukasiewicz logic matrix. Enrichments of the set of ring operations that form bases in the Łukasiewicz logic matrix are found.
Environmental Topics for Introductory Physics Courses

ERIC Educational Resources Information Center

Hodges, Laurent

1974-01-01

Presents selected environmental references with comparatively detailed descriptions for the purpose of helping high school and college physics teachers in selecting materials for their course. The topics include thermal pollution, space heating and cooling, atmospheric temperature distribution, radiation balance of the earth, sound and noises, and…
Physics Courses--Some Suggested Case Studies

ERIC Educational Resources Information Center

Swetman, T. P.

1972-01-01

To communicate the relevance and excitement of science activity to students, the use of more imaginative, and even openly speculative, case studies in physics courses is suggested. Some useful examples are Magnetic Monopoles, Constants, Black Holes, Antimatter, Zero Mass Particles, Tachyons, and the Bootstrap Hypothesis. (DF)
How gender and reformed introductory physics impacts student success in advanced physics courses and continuation in the physics major

NASA Astrophysics Data System (ADS)

Rodriguez, Idaykis; Potvin, Geoff; Kramer, Laird H.

2016-12-01

[This paper is part of the Focused Collection on Gender in Physics.] Active-learning approaches to teaching introductory physics have been found to improve student learning and affective gains on short-term outcomes [S. Freeman et al., Proc. Natl. Acad. Sci. U.S.A. 111, 8410 (2014)]; however, whether or not the benefits of active learning impact women to the same degree as men has been a point of concern [A. Madsen, S. B. McKagan, and E. C. Sayre, Phys. Rev. ST Phys. Educ. Res. 9, 020121 (2013)]. Further, the long-term impacts of active-learning experiences are also understudied. At Florida International University, a Hispanic-majority institution, we have implemented Modeling Instruction (MI) and the Integrated Science Learning Environment (ISLE) in introductory physics classes for the past decade. In this empirical paper, we report on a longitudinal investigation of student performance and persistence in upper level physics courses after having previously experienced MI or ISLE in their introductory physics courses, and disaggregate students by gender. Using survival analysis methods, we find women who declare physics as a major are more likely than men to graduate with a physics degree. Women are also just as likely as men to pass through the upper division courses, with the highest failure risk for both men and women occurring in the first semester of upper-division course taking. These results reinforce the need to expand considerations of performance outcomes to be longitudinal to measure the effectiveness of the entire physics experience.
A Deliberate Practice Instructional Approach for Upper Division Physics Courses

NASA Astrophysics Data System (ADS)

Jones, David

2015-05-01

In upper division physics courses, an overarching educational goal is to have students think about and use the material much as a practicing physicist in the field does. Specifically, this would include knowledge (such as concepts, formalism, and instruments), approaches, and metacognitive skills that physicists use in solving ``typical'' (research context) problems to both understand and predict physical observations and accompanying models. Using an interactive instructional approach known as deliberate practice (described earlier in this session) we will discuss our work on how to provide students with the necessary practice and feedback to achieve these skills in a core DAMOP course of modern optics. We present the results of a direct and explicit comparison between this approach and traditional lecture-based instruction revealing evidence that a significant improvement of the students' mastery of these skills occurs when deliberate practice is employed. Our work was supported by the University of British Columbia through the CWSEI.
Spatial-Operator Algebra For Flexible-Link Manipulators

NASA Technical Reports Server (NTRS)

Jain, Abhinandan; Rodriguez, Guillermo

1994-01-01

Method of computing dynamics of multiple-flexible-link robotic manipulators based on spatial-operator algebra, which originally applied to rigid-link manipulators. Aspects of spatial-operator-algebra approach described in several previous articles in NASA Tech Briefs-most recently "Robot Control Based on Spatial-Operator Algebra" (NPO-17918). In extension of spatial-operator algebra to manipulators with flexible links, each link represented by finite-element model: mass of flexible link apportioned among smaller, lumped-mass rigid bodies, coupling of motions expressed in terms of vibrational modes. This leads to operator expression for modal-mass matrix of link.
Kids crash and burn: An analysis of freshmen failing science end of course exams

NASA Astrophysics Data System (ADS)

Godfrey, Tanya N.

The purpose of this study was to determine how various factors influence student achievement on the physical science EOCE so that students are provided every opportunity to be successful. An understanding of influences such as the type of mathematics course students are taking, participating in block scheduling, participating in freshmen academies, and the year students took the science course and the science EOCE should provide insight into its relationship on the physical science EOCE achievement level. The final goal was to find which factors correlate to high achievement on the physical science EOCE so that South Carolina can implement these factors. This was done by obtaining historical data on students who took physical science and determine which factors are associated with the high failure rates on the physical science EOCE. Correlational values were determined, when possible. An independent-samples t-test was used to determine the strength and directionality for each relationship. A five-way ANOVA was used to determine if there were any interaction effects between the variables. The first finding was that students who took algebra prior to physical science had higher achievement on the EOCE than students without algebra. Students had increased EOCE scores when they took physical science in a block class. More students were successful outside of a freshmen academy on the physical science EOCE. These results are important to educators and administrators that want to help students become more successful on the physical science EOCE. The findings of this study can lead to a positive change within schools and school districts when it comes to providing an atmosphere that helps students increase their science skills and knowledge.
Identifying the elements of physics courses that impact student learning: Curriculum, instructor, peers, and assessment

NASA Astrophysics Data System (ADS)

West, Emily Lincoln Ashbaugh

Prior research across hundreds for introductory physics courses has demonstrated that traditional physics instruction does not generally lead to students learning physics concepts in a meaningful way, but that interactive-engagement physics courses do sometimes promote a great deal more student learning. In this work I analyze a reform effort in a large-enrollment, introductory, physics course. I find that evaluating a curriculum in isolation from other influences, such as the instructor implementation and the student population, is problematical. Instead, I propose a model of classroom culture identifying the curriculum, instructor, and student peer group as key components to creating a learning environment. Assessment, a key influence of classroom culture, is considered a product of the instructor/curriculum interaction. All three aspects of the classroom culture have the potential to influence student learning outcomes. I analyze the implementation of two different reformed physics series in terms of classroom culture. In a calculus-based course, I evaluate a new reform-based curriculum for the first and third quarters of instruction. In the first quarter, mechanics, I find that having an instructor teach in alignment with the philosophy of the reformed curriculum is essential, with students of only certain section instructors having improved outcomes over traditional instruction on measures of conceptual understanding. In the electromagnetism quarter of instruction, student outcomes for all reformed sections are higher than those from traditional sections in spite of variations in instructor implementation. The vast range of instructor-student interactions within such a reformed course are analyzed in an observational study, finding that some types of interactions are characteristic of particular instructors, regardless of the content studied that day. An analysis of assessment proposes an alternative grading method that is superior to the traditional grading
A Comparison of Web-Based and Paper-and-Pencil Homework on Student Performance in College Algebra

ERIC Educational Resources Information Center

Hauk, Shandy; Powers, Robert A.; Segalla, Angelo

2015-01-01

College algebra fulfills general education requirements at many colleges in the United States. The study reported here investigated differences in mathematics achievement between undergraduates in college algebra classes using one of two homework methods: "WeBWorK," an open-source system for web-based homework, or traditional…
The Effectiveness of "Pencasts" in Physics Courses

NASA Astrophysics Data System (ADS)

Weliweriya, Nandana; Sayre, Eleanor C.; Zollman, Dean A.

2018-03-01

Pencasts are videos of problem solving with narration by the problem solver. Pedagogically, students can create pencasts to illustrate their own problem solving to the instructor or to their peers. Pencasts have implications for teaching at multiple levels from elementary grades through university courses. In this article, we describe the use of pencasts in a university-level upper-division electromagnetic fields course usually taken by junior and senior physics majors. For each homework assignment, students created and submitted pencasts of ordinary problems several days before the problem set was due. We compare students' performance in the class (grades for pencast submission excluded) with the pencast submission rate. Students who submitted more pencasts tend to do better in the course. We conclude with some practical suggestions for implementing pencasts in other courses.
Numerical algebraic geometry: a new perspective on gauge and string theories

NASA Astrophysics Data System (ADS)

Mehta, Dhagash; He, Yang-Hui; Hauensteine, Jonathan D.

2012-07-01

There is a rich interplay between algebraic geometry and string and gauge theories which has been recently aided immensely by advances in computational algebra. However, symbolic (Gröbner) methods are severely limited by algorithmic issues such as exponential space complexity and being highly sequential. In this paper, we introduce a novel paradigm of numerical algebraic geometry which in a plethora of situations overcomes these shortcomings. The so-called `embarrassing parallelizability' allows us to solve many problems and extract physical information which elude symbolic methods. We describe the method and then use it to solve various problems arising from physics which could not be otherwise solved.
Courses in Modern Physics for Non-science Majors, Future Science Teachers, and Biology Students

NASA Astrophysics Data System (ADS)

Zollman, Dean

2001-03-01

For the past 15 years Kansas State University has offered a course in modern physics for students who are not majoring in physics. This course carries a prerequisite of one physics course so that the students have a basic introduction in classical topics. The majors of students range from liberal arts to engineering. Future secondary science teachers whose first area of teaching is not physics can use the course as part of their study of science. The course has evolved from a lecture format to one which is highly interactive and uses a combination of hands-on activities, tutorials and visualizations, particularly the Visual Quantum Mechanics materials. Another course encourages biology students to continue their physics learning beyond the introductory course. Modern Miracle Medical Machines introduces the basic physics which underlie diagnosis techniques such as MRI and PET and laser surgical techniques. Additional information is available at http://www.phys.ksu.edu/perg/
An Integrated Earth Science, Astronomy, and Physics Course for Elementary Education Majors

ERIC Educational Resources Information Center

Plotnick, Roy E.; Varelas, Maria; Fan, Qian

2009-01-01

Physical World is a one-semester course designed for elementary education majors, that integrates earth science, astronomy, and physics. The course is part of a four-course set that explores science concepts, processes, and skills, along with the nature of scientific practice, that are included in state and national standards for elementary school…
Girls, boys and conceptual physics: How senior secondary students have responded to a conceptual physics course

NASA Astrophysics Data System (ADS)

Woolnough, J. A.

1993-12-01

This paper presents an evaluation of the Physics course at Dickson College (ACT). It highlights students' expectations before the course, and their impressions and feelings during the course. This is the second evaluation carried out as part of a long term study of student attitudes before and after the introduction of a more ‘conceptual’ approach to the teaching of physics at this college. Overall, this approach has produced a more positive attitude in all students, but more significantly in girls.
Aesthetic Physics Education: A Symmetry Based, Physics and Fine Arts Curriculum

NASA Astrophysics Data System (ADS)

van der Veen, Jatila; Lubin, P. M.; Cook-Gumperz, J.; Raley, J. D.; Mazur, E.

2006-12-01

Physics education research in the past two decades has focused almost entirely on pedagogical methods, but the curriculum content remains unchanged. In a recent editorial in Physics Today (July, 2006, p. 10) the ability of physicists to “imagine new realities” is correlated with what are traditionally considered non-scientific skills, including imagination and creativity, qualities which are usually associated with fine arts. In view of the new developments in physics of the 21st Century, the importance of developing creativity and imagination through education is gaining recognition. We are investigating the effectiveness of teaching introductory physics from the viewpoint of symmetry, including the foundations of General Relativity and modern cosmology, without the need for the full tensor treatment. We will pilot a new course at UCSB in Winter Quarter, 2007 entitled Symmetry and Aesthetics in Introductory Physics. Our pedagogical model is based on three premises: that the introductory curriculum needs to be modernized; that mathematics should be presented as a language; and that theoretical physics has, at its core, a great deal in common with music, art, and dance. In this talk we will present the contents of our new course, and the means by which we plan to evaluate it in comparison to “regular” introductory courses. It is our hope that this modernized and integrated approach to introductory physics can also serve as a course for future teachers of primary and secondary school. This work is supported by NASA grant #20070268 and the Planck Explorer Mission.
Consideration of learning orientations as an application of achievement goals in evaluating life science majors in introductory physics

NASA Astrophysics Data System (ADS)

Mason, Andrew J.; Bertram, Charles A.

2018-06-01

When considering performing an Introductory Physics for Life Sciences course transformation for one's own institution, life science majors' achievement goals are a necessary consideration to ensure the pedagogical transformation will be effective. However, achievement goals are rarely an explicit consideration in physics education research topics such as metacognition. We investigate a sample population of 218 students in a first-semester introductory algebra-based physics course, drawn from 14 laboratory sections within six semesters of course sections, to determine the influence of achievement goals on life science majors' attitudes towards physics. Learning orientations that, respectively, pertain to mastery goals and performance goals, in addition to a learning orientation that does not report a performance goal, were recorded from students in the specific context of learning a problem-solving framework during an in-class exercise. Students' learning orientations, defined within the context of students' self-reported statements in the specific context of a problem-solving-related research-based course implementation, are compared to pre-post results on physics problem-solving items in a well-established attitudinal survey instrument, in order to establish the categories' validity. In addition, mastery-related and performance-related orientations appear to extend to overall pre-post attitudinal shifts, but not to force and motion concepts or to overall course grade, within the scope of an introductory physics course. There also appears to be differentiation regarding overall course performance within health science majors, but not within biology majors, in terms of learning orientations; however, health science majors generally appear to fare less well on all measurements in the study than do biology majors, regardless of learning orientations.
Students' network integration as a predictor of persistence in introductory physics courses

NASA Astrophysics Data System (ADS)

Zwolak, Justyna P.; Dou, Remy; Williams, Eric A.; Brewe, Eric

2017-06-01

Increasing student retention (successfully finishing a particular course) and persistence (continuing through a sequence of courses or the major area of study) is currently a major challenge for universities. While students' academic and social integration into an institution seems to be vital for student retention, research into the effect of interpersonal interactions is rare. We use network analysis as an approach to investigate academic and social experiences of students in the classroom. In particular, centrality measures identify patterns of interaction that contribute to integration into the university. Using these measures, we analyze how position within a social network in a Modeling Instruction (MI) course—an introductory physics course that strongly emphasizes interactive learning—predicts their persistence in taking a subsequent physics course. Students with higher centrality at the end of the first semester of MI are more likely to enroll in a second semester of MI. Moreover, we found that chances of successfully predicting individual student's persistence based on centrality measures are fairly high—up to 75%, making the centrality a good predictor of persistence. These findings suggest that increasing student social integration may help in improving persistence in science, technology, engineering, and mathematics fields.
Application of polynomial su(1, 1) algebra to Pöschl-Teller potentials

DOE Office of Scientific and Technical Information (OSTI.GOV)

Zhang, Hong-Biao, E-mail: zhanghb017@nenu.edu.cn; Lu, Lu

2013-12-15

Two novel polynomial su(1, 1) algebras for the physical systems with the first and second Pöschl-Teller (PT) potentials are constructed, and their specific representations are presented. Meanwhile, these polynomial su(1, 1) algebras are used as an algebraic technique to solve eigenvalues and eigenfunctions of the Hamiltonians associated with the first and second PT potentials. The algebraic approach explores an appropriate new pair of raising and lowing operators K-circumflex{sub ±} of polynomial su(1, 1) algebra as a pair of shift operators of our Hamiltonians. In addition, two usual su(1, 1) algebras associated with the first and second PT potentials are derivedmore » naturally from the polynomial su(1, 1) algebras built by us.« less
Generalized EMV-Effect Algebras

NASA Astrophysics Data System (ADS)

Borzooei, R. A.; Dvurečenskij, A.; Sharafi, A. H.

2018-04-01

Recently in Dvurečenskij and Zahiri (2017), new algebraic structures, called EMV-algebras which generalize both MV-algebras and generalized Boolean algebras, were introduced. We present equivalent conditions for EMV-algebras. In addition, we define a partial algebraic structure, called a generalized EMV-effect algebra, which is close to generalized MV-effect algebras. Finally, we show that every generalized EMV-effect algebra is either an MV-effect algebra or can be embedded into an MV-effect algebra as a maximal ideal.

Algebraic integrability: a survey.

PubMed

Vanhaecke, Pol

2008-03-28

We give a concise introduction to the notion of algebraic integrability. Our exposition is based on examples and phenomena, rather than on detailed proofs of abstract theorems. We mainly focus on algebraic integrability in the sense of Adler-van Moerbeke, where the fibres of the momentum map are affine parts of Abelian varieties; as it turns out, most examples from classical mechanics are of this form. Two criteria are given for such systems (Kowalevski-Painlevé and Lyapunov) and each is illustrated in one example. We show in the case of a relatively simple example how one proves algebraic integrability, starting from the differential equations for the integrable vector field. For Hamiltonian systems that are algebraically integrable in the generalized sense, two examples are given, which illustrate the non-compact analogues of Abelian varieties which typically appear in such systems.
Using Standardized Tests to Identify Prior Knowledge Necessary for Success in Algebra: A Predictive Analysis

ERIC Educational Resources Information Center

Jensen, Jennifer

2014-01-01

This study sought to determine if there is a relationship between students' scores on the eighth-grade Indiana State Test of Education Progress Plus (ISTEP+) exam and success on Indiana's Algebra End-of-Course Assessment (ECA). Additionally, it sought to determine if algebra success could be significantly predicted by the achievement in one or…
Real-Time Algebraic Derivative Estimations Using a Novel Low-Cost Architecture Based on Reconfigurable Logic

PubMed Central

Morales, Rafael; Rincón, Fernando; Gazzano, Julio Dondo; López, Juan Carlos

2014-01-01

Time derivative estimation of signals plays a very important role in several fields, such as signal processing and control engineering, just to name a few of them. For that purpose, a non-asymptotic algebraic procedure for the approximate estimation of the system states is used in this work. The method is based on results from differential algebra and furnishes some general formulae for the time derivatives of a measurable signal in which two algebraic derivative estimators run simultaneously, but in an overlapping fashion. The algebraic derivative algorithm presented in this paper is computed online and in real-time, offering high robustness properties with regard to corrupting noises, versatility and ease of implementation. Besides, in this work, we introduce a novel architecture to accelerate this algebraic derivative estimator using reconfigurable logic. The core of the algorithm is implemented in an FPGA, improving the speed of the system and achieving real-time performance. Finally, this work proposes a low-cost platform for the integration of hardware in the loop in MATLAB. PMID:24859033
Math 3310--Technical Mathematics I. Course Outline.

ERIC Educational Resources Information Center

New York Inst. of Tech., Old Westbury.

This document contains the course syllabus and 12 independent practice modules for a college pre-calculus designed as the first course in a two-semester sequence for students in a Bachelor of Technology program. The course emphasizes engineering technology applications and verbal problems. Topics include a review of elementary algebra; factoring…
Banach Synaptic Algebras

NASA Astrophysics Data System (ADS)

Foulis, David J.; Pulmannov, Sylvia

2018-04-01

Using a representation theorem of Erik Alfsen, Frederic Schultz, and Erling Størmer for special JB-algebras, we prove that a synaptic algebra is norm complete (i.e., Banach) if and only if it is isomorphic to the self-adjoint part of a Rickart C∗-algebra. Also, we give conditions on a Banach synaptic algebra that are equivalent to the condition that it is isomorphic to the self-adjoint part of an AW∗-algebra. Moreover, we study some relationships between synaptic algebras and so-called generalized Hermitian algebras.
Algebra I. Curriculum Guide. Bulletin 1580. Revised 1984.

ERIC Educational Resources Information Center

Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs.

This guide, developed by a statewide committee in response to the legislature's mandate to develop statewide curriculum standards for required subjects, presents the content that should be taught in Algebra I. It was piloted by teachers in representative school systems and subsequently revised. Six goals for the course are listed, followed by a…
Adding Vectors across the North: Development of Laboratory Component of Distance Education Physics Course

NASA Astrophysics Data System (ADS)

Spencer, V. K.; Solie, D. J.

2010-12-01

Bush Physics for the 21st Century (BP21) is a distance education physics course offered through the Interior Aleutians Campus of the University of Alaska Fairbanks. It provides an opportunity for rural Alaskan high school and community college students, many of whom have no other access to advanced science courses, to earn university science credit. The curriculum is mathematically rigorous and includes a laboratory component to prepare students who wish to pursue science and technology careers. The laboratory component has been developed during the past 3 years. Students learn lab safety, basic laboratory technique, experiment components and group collaboration. Experiments have place-based themes and involve skills that translate to rural Alaska when possible. Preliminary data on the general effectiveness of the labs have been analyzed and used to improve the course.
Algebraic Systems and Pushdown Automata

NASA Astrophysics Data System (ADS)

Petre, Ion; Salomaa, Arto

We concentrate in this chapter on the core aspects of algebraic series, pushdown automata, and their relation to formal languages. We choose to follow here a presentation of their theory based on the concept of properness. We introduce in Sect. 2 some auxiliary notions and results needed throughout the chapter, in particular the notions of discrete convergence in semirings and C-cycle free infinite matrices. In Sect. 3 we introduce the algebraic power series in terms of algebraic systems of equations. We focus on interconnections with context-free grammars and on normal forms. We then conclude the section with a presentation of the theorems of Shamir and Chomsky-Schützenberger. We discuss in Sect. 4 the algebraic and the regulated rational transductions, as well as some representation results related to them. Section 5 is dedicated to pushdown automata and focuses on the interconnections with classical (non-weighted) pushdown automata and on the interconnections with algebraic systems. We then conclude the chapter with a brief discussion of some of the other topics related to algebraic systems and pushdown automata.
Teacher Actions to Facilitate Early Algebraic Reasoning

ERIC Educational Resources Information Center

Hunter, Jodie

2015-01-01

In recent years there has been an increased emphasis on integrating the teaching of arithmetic and algebra in primary school classrooms. This requires teachers to develop links between arithmetic and algebra and use pedagogical actions that facilitate algebraic reasoning. Drawing on findings from a classroom-based study, this paper provides an…
Nationwide Survey of the Undergraduate Physical Chemistry Course

ERIC Educational Resources Information Center

Fox, Laura J.; Roehrig, Gillian H.

2015-01-01

A nationwide survey of the undergraduate physical chemistry course was conducted to investigate the depth and breadth of content that is covered, how content is delivered, how student understanding is assessed, and the experiences and beliefs of instructors. The survey was administered to instructors of physical chemistry (N = 331) at American…
A Course in Biophysics: An Integration of Physics, Chemistry, and Biology

ERIC Educational Resources Information Center

Giancoli, Douglas C.

1971-01-01

Describes an interdisciplinary course for advanced undergraduates in the physical and biological sciences. The goal is to understand a living cell from the most basic standpoint possible. The ideas of physics, chemistry, and molecular biology are all essential to the course, which leads to a unified view of the sciences. (PR)
A Course on the Physics and Chemistry of Pollution

ERIC Educational Resources Information Center

Hodges, Laurent

1971-01-01

Describes a course on environmental pollution which stresses physical and chemical principles. Course presents a unified discussion of air and water pollution and solid waste with special treatment of pesticides, thermal pollution, radioactivity, and electric power generation. Uses historical and current statistics extensively to set pollution…
Redesigning the Quantum Mechanics Curriculum to Incorporate Problem Solving Using a Computer Algebra System

NASA Astrophysics Data System (ADS)

Roussel, Marc R.

1999-10-01

One of the traditional obstacles to learning quantum mechanics is the relatively high level of mathematical proficiency required to solve even routine problems. Modern computer algebra systems are now sufficiently reliable that they can be used as mathematical assistants to alleviate this difficulty. In the quantum mechanics course at the University of Lethbridge, the traditional three lecture hours per week have been replaced by two lecture hours and a one-hour computer-aided problem solving session using a computer algebra system (Maple). While this somewhat reduces the number of topics that can be tackled during the term, students have a better opportunity to familiarize themselves with the underlying theory with this course design. Maple is also available to students during examinations. The use of a computer algebra system expands the class of feasible problems during a time-limited exercise such as a midterm or final examination. A modern computer algebra system is a complex piece of software, so some time needs to be devoted to teaching the students its proper use. However, the advantages to the teaching of quantum mechanics appear to outweigh the disadvantages.
How teaching practices are connected to student intention to enrol in upper secondary school physics courses

NASA Astrophysics Data System (ADS)

Juuti, Kalle; Lavonen, Jari

2016-05-01

Background: In developed countries, it is challenging for teachers to select pedagogical practices that encourage students to enrol in science and technology courses in upper secondary school. Purpose: Aiming to understand the enrolment dynamics, this study analyses sample-based data from Finland's National Assessment in Science to determine whether pedagogical approaches influence student intention to enrol in upper secondary school physics courses. Sample: This study examined a clustered sample of 2949 Finnish students in the final year of comprehensive school (15-16 years old). Methods: Through explorative factor analysis, we extracted several variables that were expected to influence student intention to enrol in physics courses. We applied partial correlation to determine the underlying interdependencies of the variables. Results: The analysis revealed that the main predictor of enrolment in upper secondary school physics courses is whether students feel that physics is important. Although statistically significant, partial correlations between variables were rather small. However, the analysis of partial correlations revealed that pedagogical practices influence inquiry and attitudinal factors. Pedagogical practices that emphasise science experimentation and the social construction of knowledge had the strongest influence. Conclusions: The research implies that to increase student enrolment in physics courses, the way students interpret the subject's importance needs to be addressed, which can be done by the pedagogical practices of discussion, teacher demonstrations, and practical work.
Developing Statistical Physics Course Handout on Distribution Function Materials Based on Science, Technology, Engineering, and Mathematics

NASA Astrophysics Data System (ADS)

Riandry, M. A.; Ismet, I.; Akhsan, H.

2017-09-01

This study aims to produce a valid and practical statistical physics course handout on distribution function materials based on STEM. Rowntree development model is used to produce this handout. The model consists of three stages: planning, development and evaluation stages. In this study, the evaluation stage used Tessmer formative evaluation. It consists of 5 stages: self-evaluation, expert review, one-to-one evaluation, small group evaluation and field test stages. However, the handout is limited to be tested on validity and practicality aspects, so the field test stage is not implemented. The data collection technique used walkthroughs and questionnaires. Subjects of this study are students of 6th and 8th semester of academic year 2016/2017 Physics Education Study Program of Sriwijaya University. The average result of expert review is 87.31% (very valid category). One-to-one evaluation obtained the average result is 89.42%. The result of small group evaluation is 85.92%. From one-to-one and small group evaluation stages, averagestudent response to this handout is 87,67% (very practical category). Based on the results of the study, it can be concluded that the handout is valid and practical.
Definitions Are Important: The Case of Linear Algebra

ERIC Educational Resources Information Center

Berman, Abraham; Shvartsman, Ludmila

2016-01-01

In this paper we describe an experiment in a linear algebra course. The aim of the experiment was to promote the students' understanding of the studied concepts focusing on their definitions. It seems to be a given that students should understand concepts' definitions before working substantially with them. Unfortunately, in many cases they do…
An Introduction to Geometric Algebra with some Preliminary Thoughts on the Geometric Meaning of Quantum Mechanics

NASA Astrophysics Data System (ADS)

Horn, Martin Erik

2014-10-01

It is still a great riddle to me why Wolfgang Pauli and P.A.M. Dirac had not fully grasped the meaning of their own mathematical constructions. They invented magnificent, fantastic and very important mathematical features of modern physics, but they only delivered half of the interpretations of their own inventions. Of course, Pauli matrices and Dirac matrices represent operators, which Pauli and Dirac discussed in length. But this is only part of the true meaning behind them, as the non-commutative ideas of Grassmann, Clifford, Hamilton and Cartan allow a second, very far reaching interpretation of Pauli and Dirac matrices. An introduction to this alternative interpretation will be discussed. Some applications of this view on Pauli and Dirac matrices are given, e.g. a geometric algebra picture of the plane wave solution of the Maxwell equation, a geometric algebra picture of special relativity, a toy model of SU(3) symmetry, and some only very preliminary thoughts about a possible geometric meaning of quantum mechanics.
Integrating Physics and Literacy Learning in a Physics Course for Prospective Elementary and Middle School Teachers

NASA Astrophysics Data System (ADS)

van Zee, Emily H.; Jansen, Henri; Winograd, Kenneth; Crowl, Michele; Devitt, Adam

2013-06-01

The ability to listen closely, speak clearly, write coherently, read with comprehension, and to create and critique media offerings in science contexts is essential for effective science teaching. How might instructors develop such abilities in a physics course for prospective elementary and middle school teachers? We describe here such a course, involving collaboration among physics, science education, and literacy faculty members and two graduate assistants. Meeting twice a week for 10 weeks, the course emphasized questioning, predicting, exploring, observing, discussing, writing, and reading in physical science contexts. We report common themes about aspects that fostered or hindered science and literacy learning, changes in views about science teaching and learning, and positive shifts in interest in science and intended teaching practices.
Extensions of algebraic image operators: An approach to model-based vision

NASA Technical Reports Server (NTRS)

Lerner, Bao-Ting; Morelli, Michael V.

1990-01-01

Researchers extend their previous research on a highly structured and compact algebraic representation of grey-level images which can be viewed as fuzzy sets. Addition and multiplication are defined for the set of all grey-level images, which can then be described as polynomials of two variables. Utilizing this new algebraic structure, researchers devised an innovative, efficient edge detection scheme. An accurate method for deriving gradient component information from this edge detector is presented. Based upon this new edge detection system researchers developed a robust method for linear feature extraction by combining the techniques of a Hough transform and a line follower. The major advantage of this feature extractor is its general, object-independent nature. Target attributes, such as line segment lengths, intersections, angles of intersection, and endpoints are derived by the feature extraction algorithm and employed during model matching. The algebraic operators are global operations which are easily reconfigured to operate on any size or shape region. This provides a natural platform from which to pursue dynamic scene analysis. A method for optimizing the linear feature extractor which capitalizes on the spatially reconfiguration nature of the edge detector/gradient component operator is discussed.
A Balancing Act: Making Sense of Algebra

ERIC Educational Resources Information Center

Gavin, M. Katherine; Sheffield, Linda Jensen

2015-01-01

For most students, algebra seems like a totally different subject than the number topics they studied in elementary school. In reality, the procedures followed in arithmetic are actually based on the properties and laws of algebra. Algebra should be a logical next step for students in extending the proficiencies they developed with number topics…

Analytical derivation: An epistemic game for solving mathematically based physics problems

NASA Astrophysics Data System (ADS)

Bajracharya, Rabindra R.; Thompson, John R.

2016-06-01

Problem solving, which often involves multiple steps, is an integral part of physics learning and teaching. Using the perspective of the epistemic game, we documented a specific game that is commonly pursued by students while solving mathematically based physics problems: the analytical derivation game. This game involves deriving an equation through symbolic manipulations and routine mathematical operations, usually without any physical interpretation of the processes. This game often creates cognitive obstacles in students, preventing them from using alternative resources or better approaches during problem solving. We conducted hour-long, semi-structured, individual interviews with fourteen introductory physics students. Students were asked to solve four "pseudophysics" problems containing algebraic and graphical representations. The problems required the application of the fundamental theorem of calculus (FTC), which is one of the most frequently used mathematical concepts in physics problem solving. We show that the analytical derivation game is necessary, but not sufficient, to solve mathematically based physics problems, specifically those involving graphical representations.
Hopf algebras of rooted forests, cocyles, and free Rota-Baxter algebras

NASA Astrophysics Data System (ADS)

Zhang, Tianjie; Gao, Xing; Guo, Li

2016-10-01

The Hopf algebra and the Rota-Baxter algebra are the two algebraic structures underlying the algebraic approach of Connes and Kreimer to renormalization of perturbative quantum field theory. In particular, the Hopf algebra of rooted trees serves as the "baby model" of Feynman graphs in their approach and can be characterized by certain universal properties involving a Hochschild 1-cocycle. Decorated rooted trees have also been applied to study Feynman graphs. We will continue the study of universal properties of various spaces of decorated rooted trees with such a 1-cocycle, leading to the concept of a cocycle Hopf algebra. We further apply the universal properties to equip a free Rota-Baxter algebra with the structure of a cocycle Hopf algebra.
Applied Physics. Course Materials: Physics 111, 112, 113. Seattle Tech Prep Applied Academics Project.

ERIC Educational Resources Information Center

South Seattle Community Coll., Washington.

This publication contains materials for three courses in Applied Physics in the Applied Academics program at South Seattle Community College. It begins with the article, "Community College Applied Academics: The State of the Art?" (George B. Neff), which describes the characteristics, model, courses, and coordination activity that make…
Case study of a problem-based learning course of physics in a telecommunications engineering degree

NASA Astrophysics Data System (ADS)

Macho-Stadler, Erica; Jesús Elejalde-García, Maria

2013-08-01

Active learning methods can be appropriate in engineering, as their methodology promotes meta-cognition, independent learning and problem-solving skills. Problem-based learning is the educational process by which problem-solving activities and instructor's guidance facilitate learning. Its key characteristic involves posing a 'concrete problem' to initiate the learning process, generally implemented by small groups of students. Many universities have developed and used active methodologies successfully in the teaching-learning process. During the past few years, the University of the Basque Country has promoted the use of active methodologies through several teacher training programmes. In this paper, we describe and analyse the results of the educational experience using the problem-based learning (PBL) method in a physics course for undergraduates enrolled in the technical telecommunications engineering degree programme. From an instructors' perspective, PBL strengths include better student attitude in class and increased instructor-student and student-student interactions. The students emphasised developing teamwork and communication skills in a good learning atmosphere as positive aspects.
Modifying your Physics and Astronomy Courses to Incorporate Heliophysics - Some Examples

NASA Astrophysics Data System (ADS)

Cebulka, Rebecca; Cox, Amanda; Rodriguez Garrigues, Alvar; Hoshino, Laura; Fitzgerald, Cullen; Montgomery, M.; Al-Rawi, Ahlam N.; Velissaris, Christos; Flitsiyan, Elena

2016-01-01

Although physics and astronomy courses include heliophysics topics, students still leave the courses without knowing what heliophysics is and how heliophysics relates to their daily lives. To meet goals of NASA's Living With a Star Program, UCF Physics has modified courses such as SCALE-UP: Electricity and Magnetism for Engineers and Scientists, Astronomy (for non-science majors), and Astrophysics to include heliophysics topics. In this poster, we present the previous labs, the student-modified labs to incorporate heliophysics, and we present student learning statistics.
The Physics Learning Center at the University of Wisconsin-Madison

NASA Astrophysics Data System (ADS)

Nossal, S. M.; Watson, L. E.; Hooper, E.; Huesmann, A.; Schenker, B.; Timbie, P.; Rzchowski, M.

2013-03-01

The Physics Learning Center at the University of Wisconsin-Madison provides academic support and small-group supplemental instruction to students studying introductory algebra-based and calculus-based physics. These classes are gateway courses for majors in the biological and physical sciences, pre-health fields, engineering, and secondary science education. The Physics Learning Center offers supplemental instruction groups twice weekly where students can discuss concepts and practice with problem-solving techniques. The Center also provides students with access on-line resources that stress conceptual understanding, and to exam review sessions. Participants in our program include returning adults, people from historically underrepresented racial/ethnic groups, students from families in lower-income circumstances, students in the first generation of their family to attend college, transfer students, veterans, and people with disabilities, all of whom might feel isolated in their large introductory course and thus have a more difficult time finding study partners. We also work with students potentially at-risk for having academic difficulty (due to factors academic probation, weak math background, low first exam score, or no high school physics). A second mission of the Physics Learning Center is to provide teacher training and leadership experience for undergraduate Peer Mentor Tutors. These Peer Tutors lead the majority of the weekly group sessions in close supervision by PLC staff members. We will describe our work to support students in the Physics Learning Center, including our teacher-training program for our undergraduate Peer Mentor Tutors
Metaphoric Perception of Gifted Students about Physical Education Course and Physical Education Teachers

ERIC Educational Resources Information Center

Yilmaz, Aynur; Esenturk, Oguz Kaan; Demir, Gonul Tekkursun; Ilhan, Ekrem Levent

2017-01-01

It is to determine the perception of the gifted students who participate to "Science and Art Center" about "Physical Education Course" and "Physical Education Teachers" via metaphors. The working group of the research consists of 48 students who participate Science and Art Center in 2014-2015 school years. Among the…
Using Example Generation to Explore Students' Understanding of the Concepts of Linear Dependence/Independence in Linear Algebra

ERIC Educational Resources Information Center

Aydin, Sinan

2014-01-01

Linear algebra is a basic mathematical subject taught in mathematics and science depar-tments of universities. The teaching and learning of this course has always been difficult. This study aims to contribute to the research in linear algebra education, focusing on linear dependence and independence concepts. This was done by introducing…
Sex differences in physics learning and evaluations in an introductory course

NASA Astrophysics Data System (ADS)

Blue, Jennifer Marie

On a national level, boys and men score higher than girls and women on science and math tests. There have been several investigations into the reasons for these differences, with some believing that they are caused by innate biological sex differences and some that they are caused by social and cultural gender differences. In addition, women who plan to major in science and engineering drop out of those majors at higher rates than men do. This study was designed to contribute to the ongoing discussion about why these differences between women and men exist. This study compared post-test physics scores of a matched sample of men and women to see whether there were differences in how much physics had been learned at the end of a course when there were few differences at the beginning of the course. The study also looked at the ratings that men and women gave to the problem solving method and the sections of the course that used cooperative grouping. It was found that, although the population of students taking Physics 1251 showed differences in performance on physics tests both at the beginning and at the end of the course, when students were matched according to their high school background and their physics pretest scores there was no difference in their post-test scores. It was also found that women liked the relevant aspects of the course more than men did. Implications of these results are discussed.
Using Sport Education in a University Physical Activity Course

ERIC Educational Resources Information Center

Blocker, Danielle; Wahl-Alexander, Zachary

2018-01-01

At a majority of colleges and universities around the country, basic activity courses are taught predicated on teaching students basic skills and instilling healthy habits. The purpose of this article is to outline and describe a physical conditioning course that utilized the sport education (SE) model and emphasized outside engagement to instill…
Peer 2 peer: efficacy of a course-based peer education intervention to increase physical activity among college students.

PubMed

Boyle, Jennifer; Mattern, Craig O; Lassiter, Jill W; Ritzler, Julia A

2011-01-01

There are few physical activity (PA) interventions in higher education, and they have been only minimally effective. To determine if a course-based, peer education intervention was associated with increases in PA and physical fitness. Participants were 178 students enrolled in a personal health class during the 2007-2008 academic year. A quasi-experimental design was used to assess the effect of the intervention. Repeated measures analysis of covariance was employed to test the impact of the intervention on students' PA, body composition, waist-to-hip ratio, cardiovascular fitness, flexibility, and muscular strength. Women in the treatment group classified as "Inactive" at baseline increased PA, whereas "Inactive" control women had reductions in PA. Women in the treatment group who were "Active" at baseline reduced their waist-to-hip ratio and increased flexibility. There were no differences by treatment group among men. The intervention was effective in improving PA and physical fitness among college women.
A collaborative learning approach for service-oriented introductory physics

NASA Astrophysics Data System (ADS)

Smith, Michael R.

1997-03-01

I have taught algebra-based introductory physics for six years to liberal arts students. It was primarily a service course for students majoring in Athletic Training, Physical Therapy, Geology, Biology, and Pre-Med. The typical student was characterized by having a minimal math and problem-solving proficiency. There also was a pattern of students being predisposed to memorizing facts and formulas, and attempting to solve problems by finding the correct formula and "plugging in" numbers to get an answer. The students seemed to have a minimal ability in deductive reasoning and problem solving, starting from basic principles. It is no wonder that they entered the introductory physics service course with extreme trepidation, based upon a strongly perceived physics phobia. A standard lecture format was used for the class size of approximately 25-30 students; and an attempt was always made to engage the students through the Socratic approach, by asking leading questions during the course of the lecture. The students were relatively unprepared and couldn't participate in the class, and often responded antagonistically. They indicated they didn't want to be asked to think about an issue, but would rather just be told the facts so they could take specific notes for subsequent memorization. It was clear from the results of the open book exams given during the semester that the majority of students could not approach problem solving using deductive reasoning based on basic principles, but relied on attempting to force-fit the problem into a worked example in the text (often out of context, with illogical results). The absentee rate in the classroom was usually around 30-40%. The academic administration of my liberal arts university has the policy of formal course evaluations by the students at the end of each semester. The evaluation questionnaire appears to be primarily a measurement of the stress level of the student during the course, and the evaluation score I received
Evaluation of a course designed to teach physics to students of physiotherapy

NASA Astrophysics Data System (ADS)

Simpson, Ian A.; Singer, Kevin P.; Treagust, David; Zadnik, Marjan G.

1990-01-01

This paper describes the development and evaluation of a course in physiotherapy whereby the physics fundamental to the modalities of cold, heat and ultrasound therapies was integrated in lectures and actual physiotherapy activities. The design of the course is described together with the perceptions of physiotherapy students regarding the organisation of the course, safety aspects and how well the integration contributed to their understanding of the physics involved in electrotherapy.
A spatial operator algebra for manipulator modeling and control

NASA Technical Reports Server (NTRS)

Rodriguez, G.; Kreutz, Kenneth; Jain, Abhinandan

1989-01-01

A recently developed spatial operator algebra, useful for modeling, control, and trajectory design of manipulators is discussed. The elements of this algebra are linear operators whose domain and range spaces consist of forces, moments, velocities, and accelerations. The effect of these operators is equivalent to a spatial recursion along the span of a manipulator. Inversion of operators can be efficiently obtained via techniques of recursive filtering and smoothing. The operator algebra provides a high level framework for describing the dynamic and kinematic behavior of a manipulator and control and trajectory design algorithms. The interpretation of expressions within the algebraic framework leads to enhanced conceptual and physical understanding of manipulator dynamics and kinematics. Furthermore, implementable recursive algorithms can be immediately derived from the abstract operator expressions by inspection. Thus, the transition from an abstract problem formulation and solution to the detailed mechanizaton of specific algorithms is greatly simplified. The analytical formulation of the operator algebra, as well as its implementation in the Ada programming language are discussed.
Course Placement Influences on Student Motivation

ERIC Educational Resources Information Center

Simzar, Rahila; Domina, Thurston; Conley, AnneMarie; Tran, Cathy

2013-01-01

A national initiative encourages STEM careers to prepare students to succeed in an increasingly competitive economy (National Research Council, 2011). The STEM pipeline is dependent on students' mathematics course-taking trajectories, which are determined once a student enrolls in his/her first Algebra course. Despite efforts to increase access to…
The link between middle school mathematics course placement and achievement.

PubMed

Domina, Thurston

2014-01-01

The proportion of eighth graders in United States public schools enrolled in algebra or a more advanced mathematics course doubled between 1990 and 2011. This article uses Early Childhood Longitudinal Study's Kindergarten Cohort data to consider the selection process into advanced middle school mathematics courses and estimate the effects of advanced courses on students' mathematics achievement (n = 6,425; mean age at eighth grade = 13.7). Eighth-grade algebra and geometry course placements are academically selective, but considerable between-school variation exists in students' odds of taking these advanced courses. While analyses indicate that advanced middle school mathematics courses boost student achievement, these effects are most pronounced in content areas closely related to class content and may be contingent on student academic readiness. © 2014 The Author. Child Development © 2014 Society for Research in Child Development, Inc.
Semiclassical states on Lie algebras

DOE Office of Scientific and Technical Information (OSTI.GOV)

Tsobanjan, Artur, E-mail: artur.tsobanjan@gmail.com

2015-03-15

The effective technique for analyzing representation-independent features of quantum systems based on the semiclassical approximation (developed elsewhere) has been successfully used in the context of the canonical (Weyl) algebra of the basic quantum observables. Here, we perform the important step of extending this effective technique to the quantization of a more general class of finite-dimensional Lie algebras. The case of a Lie algebra with a single central element (the Casimir element) is treated in detail by considering semiclassical states on the corresponding universal enveloping algebra. Restriction to an irreducible representation is performed by “effectively” fixing the Casimir condition, following themore » methods previously used for constrained quantum systems. We explicitly determine the conditions under which this restriction can be consistently performed alongside the semiclassical truncation.« less
Challenges in a Physics Course: Introducing Student-Centred Activities for Increased Learning

ERIC Educational Resources Information Center

Hernandez, Carola; Ravn, Ole; Forero-Shelton, Manu

2014-01-01

This article identifies and analyses some of the challenges that arose in a development process of changing from a content-based teaching environment to a student-centred environment in an undergraduate physics course for medicine and biology students at Universidad de los Andes. Through the use of the Critical Research model proposed by Skovsmose…
Implementation of an accelerated physical examination course in a doctor of pharmacy program.

PubMed

Ho, Jackie; Bidwal, Monica K; Lopes, Ingrid C; Shah, Bijal M; Ip, Eric J

2014-12-15

To describe the implementation of a 1-day accelerated physical examination course for a doctor of pharmacy program and to evaluate pharmacy students' knowledge, attitudes, and confidence in performing physical examination. Using a flipped teaching approach, course coordinators collaborated with a physician faculty member to design and develop the objectives of the course. Knowledge, attitude, and confidence survey questions were administered before and after the practical laboratory. Following the practical laboratory, knowledge improved by 8.3% (p<0.0001). Students' perceived ability and confidence to perform a physical examination significantly improved (p<0.0001). A majority of students responded that reviewing the training video (81.3%) and reading material (67.4%) prior to the practical laboratory was helpful in learning the physical examination. An accelerated physical examination course using a flipped teaching approach was successful in improving students' knowledge of, attitudes about, and confidence in using physical examination skills in pharmacy practice.
Implementation of an Accelerated Physical Examination Course in a Doctor of Pharmacy Program

PubMed Central

Ho, Jackie; Lopes, Ingrid C.; Shah, Bijal M.; Ip, Eric J.

2014-01-01

Objective. To describe the implementation of a 1-day accelerated physical examination course for a doctor of pharmacy program and to evaluate pharmacy students’ knowledge, attitudes, and confidence in performing physical examination. Design. Using a flipped teaching approach, course coordinators collaborated with a physician faculty member to design and develop the objectives of the course. Knowledge, attitude, and confidence survey questions were administered before and after the practical laboratory. Assessment. Following the practical laboratory, knowledge improved by 8.3% (p<0.0001). Students’ perceived ability and confidence to perform a physical examination significantly improved (p<0.0001). A majority of students responded that reviewing the training video (81.3%) and reading material (67.4%) prior to the practical laboratory was helpful in learning the physical examination. Conclusion. An accelerated physical examination course using a flipped teaching approach was successful in improving students’ knowledge of, attitudes about, and confidence in using physical examination skills in pharmacy practice. PMID:25657369

Optical systolic solutions of linear algebraic equations

NASA Technical Reports Server (NTRS)

Neuman, C. P.; Casasent, D.

1984-01-01

The philosophy and data encoding possible in systolic array optical processor (SAOP) were reviewed. The multitude of linear algebraic operations achievable on this architecture is examined. These operations include such linear algebraic algorithms as: matrix-decomposition, direct and indirect solutions, implicit and explicit methods for partial differential equations, eigenvalue and eigenvector calculations, and singular value decomposition. This architecture can be utilized to realize general techniques for solving matrix linear and nonlinear algebraic equations, least mean square error solutions, FIR filters, and nested-loop algorithms for control engineering applications. The data flow and pipelining of operations, design of parallel algorithms and flexible architectures, application of these architectures to computationally intensive physical problems, error source modeling of optical processors, and matching of the computational needs of practical engineering problems to the capabilities of optical processors are emphasized.
The Struggle to Pass Algebra: Online vs. Face-to-Face Credit Recovery for At-Risk Urban Students

ERIC Educational Resources Information Center

Heppen, Jessica B.; Sorensen, Nicholas; Allensworth, Elaine; Walters, Kirk; Rickles, Jordan; Taylor, Suzanne Stachel; Michelman, Valerie

2017-01-01

Students who fail algebra are significantly less likely to graduate on time, and algebra failure rates are consistently high in urban districts. Identifying effective credit recovery strategies is critical for getting students back on track. Online courses are now widely used for credit recovery, yet there is no rigorous evidence about the…
Additional evidence of far transfer of scientific reasoning skills acquired in a CLASP reformed physics course

NASA Astrophysics Data System (ADS)

Potter, Wendell H.; Lynch, Robert B.

2013-01-01

The introductory physics course taken by biological science majors at UC Davis, Physics 7, was radically reformed 16 years ago in order to explicitly emphasize the development of scientific reasoning skills in all elements of the course. We have previously seen evidence of increased performance on the biological and physical science portions of the MCAT exam, in a rigorous systemic physiology course, and higher graduating GPAs for students who took Physics 7 rather than a traditionally taught introductory physics course. We report here on the increased performance by a group of biological-science majors in a general chemistry course who took the first quarter of Physics 7 prior to beginning the chemistry course sequence compared to a similar group who began taking physics after completing the first two quarters of general chemistry.
Training Undergraduate Physics Peer Tutors

NASA Astrophysics Data System (ADS)

Nossal, S. M.; Jacob, A. T.

2004-05-01

The University of Wisconsin's Physics Peer Mentor Tutor Program matches upper level undergraduate physics students in small study groups with students studying introductory algebra-based physics. We work with students who are potentially at-risk for having academic trouble with the course. They include students with a low exam score, learning disabilities, no high school physics, weak math backgrounds, and/or on academic probation. We also work with students from groups under represented in the sciences and who may be feeling isolated or marginal on campus such as minority, returning adult, and international students. The tutors provide a supportive learning environment, extra practice problems, and an overview of key concepts. In so doing, they help our students to build confidence and problem solving skills applicable to physics and other areas of their academic careers. The Physics Peer Mentor Tutor Program is modeled after a similar program for chemistry created by the University of Wisconsin's Chemistry Learning Center. Both programs are now run in collaboration. The tutors are chosen for their academic strength and excellent communication skills. Our tutors are majoring in physics, math, and secondary-level science education. The tutors receive ongoing training and supervision throughout the year. They attend weekly discipline-specific meetings to discuss strategies for teaching the content currently being discussed in the physics course. They also participate in a weekly teaching seminar with science tutors from chemistry and biochemistry to discuss teaching methods, mentoring, and general information relating to the students with whom we work. We will describe an overview of the Physics Peer Mentor Tutor Program with a focus on the teacher training program for our undergraduate tutors.
Some applications of mathematics in theoretical physics - A review

DOE Office of Scientific and Technical Information (OSTI.GOV)

Bora, Kalpana

2016-06-21

Mathematics is a very beautiful subject−very much an indispensible tool for Physics, more so for Theoretical Physics (by which we mean here mainly Field Theory and High Energy Physics). These branches of Physics are based on Quantum Mechanics and Special Theory of Relativity, and many mathematical concepts are used in them. In this work, we shall elucidate upon only some of them, like−differential geometry, infinite series, Mellin transforms, Fourier and integral transforms, special functions, calculus, complex algebra, topology, group theory, Riemannian geometry, functional analysis, linear algebra, operator algebra, etc. We shall also present, some physics issues, where these mathematical toolsmore » are used. It is not wrong to say that Mathematics is such a powerful tool, without which, there can not be any Physics theory!! A brief review on our research work is also presented.« less
Some applications of mathematics in theoretical physics - A review

NASA Astrophysics Data System (ADS)

Bora, Kalpana

2016-06-01

Mathematics is a very beautiful subject-very much an indispensible tool for Physics, more so for Theoretical Physics (by which we mean here mainly Field Theory and High Energy Physics). These branches of Physics are based on Quantum Mechanics and Special Theory of Relativity, and many mathematical concepts are used in them. In this work, we shall elucidate upon only some of them, like-differential geometry, infinite series, Mellin transforms, Fourier and integral transforms, special functions, calculus, complex algebra, topology, group theory, Riemannian geometry, functional analysis, linear algebra, operator algebra, etc. We shall also present, some physics issues, where these mathematical tools are used. It is not wrong to say that Mathematics is such a powerful tool, without which, there can not be any Physics theory!! A brief review on our research work is also presented.
Algebraic geometry and Bethe ansatz. Part I. The quotient ring for BAE

NASA Astrophysics Data System (ADS)

Jiang, Yunfeng; Zhang, Yang

2018-03-01

In this paper and upcoming ones, we initiate a systematic study of Bethe ansatz equations for integrable models by modern computational algebraic geometry. We show that algebraic geometry provides a natural mathematical language and powerful tools for understanding the structure of solution space of Bethe ansatz equations. In particular, we find novel efficient methods to count the number of solutions of Bethe ansatz equations based on Gröbner basis and quotient ring. We also develop analytical approach based on companion matrix to perform the sum of on-shell quantities over all physical solutions without solving Bethe ansatz equations explicitly. To demonstrate the power of our method, we revisit the completeness problem of Bethe ansatz of Heisenberg spin chain, and calculate the sum rules of OPE coefficients in planar N=4 super-Yang-Mills theory.
Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories

NASA Astrophysics Data System (ADS)

Cheng, Tao; Huang, Hua-Lin; Yang, Yuping

2016-01-01

By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Clifford algebras and to generalize them. Along the same line, Bulacu observed that Clifford algebras are weak Hopf algebras in the aforementioned categories and obtained other interesting properties. The aim of this paper is to study generalized Clifford algebras in a similar manner and extend the results of Albuquerque, Majid and Bulacu to the generalized setting. In particular, by taking full advantage of the gauge transformations in symmetric linear Gr-categories, we derive the decomposition theorem and provide categorical weak Hopf structures for generalized Clifford algebras in a conceptual and simpler manner.
Math 3011--College Algebra and Trigonometry. Course Outline.

ERIC Educational Resources Information Center

New York Inst. of Tech., Old Westbury.

This document contains the course syllabus and 12 independent practice modules for a college level mathematics course designed to provide the necessary foundation for success in calculus, develop logical thinking skills, and enhance analytic skills through problem solving. Topics include relations and functions; inequalities; complex numbers;…
Revisions of Physical Geology Laboratory Courses to Increase the Level of Inquiry: Implications for Teaching and Learning

ERIC Educational Resources Information Center

Grissom, April N.; Czajka, C. Douglas; McConnell, David A.

2015-01-01

The introductory physical geology laboratory courses taught at North Carolina State University aims to promote scientific thinking and learning through the use of scientific inquiry-based activities. A rubric describing five possible levels of inquiry was applied to characterize the laboratory activities in the course. Two rock and mineral…
Teachers' and students' reactions to the Revised Nuffield A-Level Physics Course (RNAP)

NASA Astrophysics Data System (ADS)

Sela, David

1990-07-01

difficult to achieve (understanding the nature of physical inquiry, learning to inquire, and being aware of the social significance of physics). An aim like `Developing practical skills' was highly rated by teachers but seemed to be much less important to students. Also the investigation was referred to much more positively by teachers than by the upper sixthform students (who had already experienced it). A suggested reason for this can be that teachers judged the investigation on its ideological basis, valuing its importance in scientific research, while the students were influenced by their actual results which were not always successful. We are not sure that these aims are treated better in another course. but taking into account some of these comments can improve the teaching of the course. In future it might also lead to a better version of RNAP which would be based more on real school situations, the influence of the GCSE and the teacher-student expectations.
Topics in elementary particle physics

NASA Astrophysics Data System (ADS)

Jin, Xiang

The author of this thesis discusses two topics in elementary particle physics: n-ary algebras and their applications to M-theory (Part I), and functional evolution and Renormalization Group flows (Part II). In part I, Lie algebra is extended to four different n-ary algebraic structure: generalized Lie algebra, Filippov algebra, Nambu algebra and Nambu-Poisson tensor; though there are still many other n-ary algebras. A natural property of Generalized Lie algebras — the Bremner identity, is studied, and proved with a totally different method from its original version. We extend Bremner identity to n-bracket cases, where n is an arbitrary odd integer. Filippov algebras do not focus on associativity, and are defined by the Fundamental identity. We add associativity to Filippov algebras, and give examples of how to construct Filippov algebras from su(2), bosonic oscillator, Virasoro algebra. We try to include fermionic charges into the ternary Virasoro-Witt algebra, but the attempt fails because fermionic charges keep generating new charges that make the algebra not closed. We also study the Bremner identity restriction on Nambu algebras and Nambu-Poisson tensors. So far, the only example 3-algebra being used in physics is the BLG model with 3-algebra A4, describing two M2-branes interactions. Its extension with Nambu algebra, BLG-NB model, is believed to describe infinite M2-branes condensation. Also, there is another propose for M2-brane interactions, the ABJM model, which is constructed by ordinary Lie algebra. We compare the symmetry properties between them, and discuss the possible approaches to include these three models into a grand unification theory. In Part II, we give an approximate solution for Schroeder's equations, based on series and conjugation methods. We use the logistic map as an example, and demonstrate that this approximate
Developing Physical Education Student Leaders through a Leadership Course and a University Collaboration

ERIC Educational Resources Information Center

Diedrich, K. C.; Diedrich, Nick

2017-01-01

Physical activity and sport programs offer great opportunities for youth to develop important life skills, including leadership. High school physical education leadership courses are one way to develop leadership and pedagogy skills in students. Leadership courses are also a great way for aspiring physical education teachers in training to gain…
Potential Teachers' Appropriate and Inappropriate Application of Pedagogical Resources in a Model-Based Physics Course: A "Knowledge in Pieces" Perspective on Teacher Learning

ERIC Educational Resources Information Center

Harlow, Danielle B.; Bianchini, Julie A.; Swanson, Lauren H.; Dwyer, Hilary A.

2013-01-01

We used a "knowledge in pieces" perspective on teacher learning to document undergraduates' pedagogical resources in a model-based physics course for potential teachers. We defined pedagogical resources as small, discrete ideas about teaching science that are applied appropriately or inappropriately in specific contexts. Neither…
Abstract Algebra for Algebra Teaching: Influencing School Mathematics Instruction

ERIC Educational Resources Information Center

Wasserman, Nicholas H.

2016-01-01

This article explores the potential for aspects of abstract algebra to be influential for the teaching of school algebra (and early algebra). Using national standards for analysis, four primary areas common in school mathematics--and their progression across elementary, middle, and secondary mathematics--where teaching may be transformed by…
Interesting Guided-Inquiry Labs for a Large-Enrollment, Active Learning Physics II Course

NASA Astrophysics Data System (ADS)

Wagoner, Kasey; Hynes, K. Mairin; Flanagan, Daniel

2018-04-01

Introductory physics labs often focus on a series of common experiments intending to teach the student the measurement side of physics. While these experiments have the potential to be quite instructive, we observed that our students often consider them to be boring and monotonous, which often leads to them being uninstructive. To combat this, we have designed a series of labs with two major goals: the experiments should be relevant to the students' world, and the labs should gently guide the students to develop the experimental process on their own. Meeting these goals is difficult, particularly in a course with large enrollment where labs are instructed by graduate students. We have had success meeting these goals in our classroom, where over the last decade our introductory physics course has transformed from a traditional, lecture-learning class to a flipped class based on the textbook Six Ideas that Shaped Physics. Here we describe the structure of the new labs we have designed to capitalize on our classroom success while overcoming the aforementioned difficulties. These new labs are more engaging and instructive for our introductory physics students.
Introductory Biophysics Course: Presentation of Physics in a Biological Context

ERIC Educational Resources Information Center

Henderson, B. J.; Henderson, M. A.

1976-01-01

An introductory biophysics course for science students who have previously taken two quarters of noncalculus physics is described. Material covered emphasizes the physical principles of sound, light, electricity, energy, and information. (Author/CP)
Asymptotic identity in min-plus algebra: a report on CPNS.

PubMed

Li, Ming; Zhao, Wei

2012-01-01

Network calculus is a theory initiated primarily in computer communication networks, especially in the aspect of real-time communications, where min-plus algebra plays a role. Cyber-physical networking systems (CPNSs) are recently developing fast and models in data flows as well as systems in CPNS are, accordingly, greatly desired. Though min-plus algebra may be a promising tool to linearize any node in CPNS as can be seen from its applications to the Internet computing, there are tough problems remaining unsolved in this regard. The identity in min-plus algebra is one problem we shall address. We shall point out the confusions about the conventional identity in the min-plus algebra and present an analytical expression of the asymptotic identity that may not cause confusions.
Algebraic K-theory, K-regularity, and -duality of -stable C ∗-algebras

NASA Astrophysics Data System (ADS)

Mahanta, Snigdhayan

2015-12-01

We develop an algebraic formalism for topological -duality. More precisely, we show that topological -duality actually induces an isomorphism between noncommutative motives that in turn implements the well-known isomorphism between twisted K-theories (up to a shift). In order to establish this result we model topological K-theory by algebraic K-theory. We also construct an E ∞ -operad starting from any strongly self-absorbing C ∗-algebra . Then we show that there is a functorial topological K-theory symmetric spectrum construction on the category of separable C ∗-algebras, such that is an algebra over this operad; moreover, is a module over this algebra. Along the way we obtain a new symmetric spectra valued functorial model for the (connective) topological K-theory of C ∗-algebras. We also show that -stable C ∗-algebras are K-regular providing evidence for a conjecture of Rosenberg. We conclude with an explicit description of the algebraic K-theory of a x+ b-semigroup C ∗-algebras coming from number theory and that of -stabilized noncommutative tori.
SCALE-UP Your Astronomy and Physics Undergraduate Courses to Incorporate Heliophysics

NASA Astrophysics Data System (ADS)

Al-Rawi, Ahlam N.; Cox, Amanda; Hoshino, Laura; Fitzgerald, Cullen; Cebulka, Rebecca; Rodriguez Garrigues, Alvar; Montgomery, Michele; Velissaris, Chris; Flitsiyan, Elena

2016-01-01

Although physics and astronomy courses include heliophysics topics, students still leave these courses without knowing what heliophysics is and how heliophysics relates to their daily lives. To meet goals of NASA's Living With a Star Program of incorporating heliophysics into undergraduate curriculum, UCF Physics has modified courses such as Astronomy (for non-science majors), Astrophysics, and SCALE-UP: Electricity and Magnetism for Engineers and Scientists to incorporate heliophysics topics. In this presentation, we discuss these incorporations and give examples that have been published in NASA Wavelength. In an associated poster, we present data on student learnin

High Level Technology in a Low Level Mathematics Course.

ERIC Educational Resources Information Center

Schultz, James E.; Noguera, Norma

2000-01-01

Describes a teaching experiment in which spreadsheets and computer algebra systems were used to teach a low-level college consumer mathematics course. Students were successful in using different types of functions to solve a variety of problems drawn from real-world situations. Provides an existence proof that computer algebra systems can assist…
PREFACE: Workshop on Higher Symmetries in Physics

NASA Astrophysics Data System (ADS)

Campoamor-Stursberg, Rutwig; María Ancochea, José; Castrillón, Marco

2009-07-01

, and the construction of the Killing superalgebra of 11-dimensional supergravity backgrounds. Criteria ensuring local homogeneity were described in terms of supersymmetry. Finally, the course of Professor M Rausch de Traubenberg (IPHC, Université de Strasbourg) reviewed the present status of higher order extensions of the Poincaré algebra. In this lecture, basing on some features of the Wess-Zumino model, additional algebraic structures are added in order to obtain a hierarchy of non-trivial extensions of the Poincaré algebra. Two different types, with interesting applications in the corresponding context, are presented. The first type corresponds to finite dimensional cubic extension in D-dimensional space-time. The latter induces a symmetry on generalized gauge fields, and the corresponding invariant Lagrangians are constructed explicitly. The remaining possibility is shown to be an infinite dimensional higher order extension inducing a symmetry that allows to connect relativistic anyons. This procedure presents some analogies with supersymmetry. All papers published in this volume of Journal of Physics: Conference Series contains have been peer reviewed through processes administered by the proceedings Editors. Reviews were conducted by expert referees to the professional and scientific standards expected of a proceedings journal published by IOP Publishing. This meeting was possible thanks to the financial and infrastructural assistance of the following Spanish institutions and projects: Universidad Complutense de Madrid (UCM) Instituto de Matemática Interdisciplinar (I.M.I.) of the UCM The Geometry, Mechanics and Control Network (GMC) CCG07/ESP-2922 of the UCM/Comunidad Autónoma de Madrid MTM2005-00173 of the Ministerio de Educación y Ciencia (MEC) MTM2006-09152 of the Ministerio de Educación y Ciencia (MEC) Consolider-Ingenio 2010 ''Programa de Investigación Intensiva sobre Mecánica Geométrica y Teoría de Control'' Finally, on behalf of the Organizing
New phases of D ge 2 current and diffeomorphism algebras in particle physics

DOE Office of Scientific and Technical Information (OSTI.GOV)

Tze, Chia-Hsiung.

We survey some global results and open issues of current algebras and their canonical field theoretical realization in D {ge} 2 dimensional spacetime. We assess the status of the representation theory of their generalized Kac-Moody and diffeomorphism algebras. Particular emphasis is put on higher dimensional analogs of fermi-bose correspondence, complex analyticity and the phase entanglements of anyonic solitons with exotic spin and statistics. 101 refs.
Algebra for Everyone.

ERIC Educational Resources Information Center

Edwards, Edgar L., Jr., Ed.

The fundamentals of algebra and algebraic thinking should be a part of the background of all citizens in society. The vast increase in the use of technology requires that school mathematics ensure the teaching of algebraic thinking as well as its use at both the elementary and secondary school levels. Algebra is a universal theme that runs through…
Math Remediation for the College Bound: How Teachers Can Close the Gap, from the Basics through Algebra

ERIC Educational Resources Information Center

Khatri, Daryao

2011-01-01

Algebra is the language that must be mastered for any course that uses math because it is the gateway for entry into any science, technology, engineering, and mathematics (STEM) discipline. This book fosters mastery of critical math and algebraic concepts and skills essential to all of the STEM disciplines and some of the social sciences. This…
Polyhedral realizations of crystal bases for quantum algebras of classical affine types

DOE Office of Scientific and Technical Information (OSTI.GOV)

Hoshino, A.

2013-05-15

We give the explicit forms of the crystal bases B({infinity}) for the quantum affine algebras of types A{sub 2n-1}{sup (2)}, A{sub 2n}{sup (2)}, B{sub n}{sup (1)}, C{sub n}{sup (1)}, D{sub n}{sup (1)}, and D{sub n+1}{sup (2)} by using the method of polyhedral realizations of crystal bases.
The Impact of Postsecondary Fitness and Wellness Courses on Physical Activity Behaviors

ERIC Educational Resources Information Center

Ellis, Joshua Charles

2013-01-01

Regular physical activity contributes to decreasing health risk factors. With the intent of establishing long-term behavioral changes that attribute to overall physical wellbeing, many U.S. universities offer fitness and wellness courses. The purpose of this study was to assess the impact of a postsecondary fitness and wellness course on physical…
Problem Solving: Physics Modeling-Based Interactive Engagement

ERIC Educational Resources Information Center

Ornek, Funda

2009-01-01

The purpose of this study was to investigate how modeling-based instruction combined with an interactive-engagement teaching approach promotes students' problem solving abilities. I focused on students in a calculus-based introductory physics course, based on the matter and interactions curriculum of Chabay & Sherwood (2002) at a large state…
Effectiveness of Cognitive Tutor Algebra I at Scale

ERIC Educational Resources Information Center

Pane, John F.; Griffin, Beth Ann; McCaffrey, Daniel F.; Karam, Rita

2014-01-01

This article examines the effectiveness of a technology-based algebra curriculum in a wide variety of middle schools and high schools in seven states. Participating schools were matched into similar pairs and randomly assigned to either continue with the current algebra curriculum for 2 years or to adopt Cognitive Tutor Algebra I (CTAI), which…
Nerve Conduction in the Pre-Medical Physics Course

ERIC Educational Resources Information Center

Hobbie, Russell K.

1973-01-01

Reviews properties of nerves, analogous networks in propagation of electrical signals in axons, and regenerative changes in membrane permeability due to propagation of the action potential, which can be explained in the noncalculus physics course. (CC)
Educational Outcomes of Synchronous and Asynchronous High School Students: A Quantitative Causal-Comparative Study of Online Algebra 1

ERIC Educational Resources Information Center

Berry, Sharon

2017-01-01

This study used a quantitative, causal-comparative design. It compared educational outcome data from online Algebra 1 courses to determine if a significant difference existed between synchronous and asynchronous students for end-of-course grades, state assessments scores, and student perceptions of their course. The study found that synchronous…
Attitude Changes of Specialist Students of Physical Education towards Physical Activity during Teacher-Training Courses.

ERIC Educational Resources Information Center

Barrell, G. V.; Holt, D.

1982-01-01

A longitudinal investigation of the attitudes towards physical activity of specialist students of physical education was undertaken during a course of training teachers. Significant changes of attitude with time were noted, particularly in the Vertigo and Ascetic dimensions. (Author)
Use of clickers and sustainable reform in upper-division physics courses

NASA Astrophysics Data System (ADS)

Dubson, Michael

2008-03-01

At the University of Colorado at Boulder, successful reforms of our freshmen and sophomore-level physics courses are now being extended to upper-division courses, including Mechanics, Math Methods, QM, E&M, and Thermal Physics. Our course reforms include clicker questions (ConcepTests) in lecture, peer instruction, and an added emphasis on conceptual understanding and qualitative reasoning on homework assignments and exams. Student feedback has been strongly positive, and I will argue that such conceptual training improves rather than dilutes, traditional, computationally-intensive problem-solving skills. In order for these reforms to be sustainable, reform efforts must begin with department-wide consensus and agreed-upon measures of success. I will discuss the design of good clicker questions and effective incorporation into upper-level courses, including examples from materials science. Condensed matter physics, which by nature involve intelligent use of approximation, particularly lends itself to conceptual training. I will demonstrate the use of a clicker system (made by iClicker) with audience-participation questions. Come prepared to think and interact, rather than just sit there!
A Course on the Physics of Urban and Environmental Problems

ERIC Educational Resources Information Center

Marston, Edwin H.

1970-01-01

Presents a physics course for social scientists. Physics problems are presented within the context of several urban and environmental case studies. The problems considered include transportation, air pollution, thermal pollution of water, and scarcity of resources. (LS)
Discovering Theorems in Abstract Algebra Using the Software "GAP"

ERIC Educational Resources Information Center

Blyth, Russell D.; Rainbolt, Julianne G.

2010-01-01

A traditional abstract algebra course typically consists of the professor stating and then proving a sequence of theorems. As an alternative to this classical structure, the students could be expected to discover some of the theorems even before they are motivated by classroom examples. This can be done by using a software system to explore a…
Graphs in kinematics—a need for adherence to principles of algebraic functions

NASA Astrophysics Data System (ADS)

Sokolowski, Andrzej

2017-11-01

Graphs in physics are central to the analysis of phenomena and to learning about a system’s behavior. The ways students handle graphs are frequently researched. Students’ misconceptions are highlighted, and methods of improvement suggested. While kinematics graphs are to represent a real motion, they are also algebraic entities that must satisfy conditions for being algebraic functions. To be algebraic functions, they must pass certain tests before they can be used to infer more about motion. A preliminary survey of some physics resources has revealed that little attention is paid to verifying if the position, velocity and acceleration versus time graphs, that are to depict real motion, satisfy the most critical condition for being an algebraic function; the vertical line test. The lack of attention to this adherence shows as vertical segments in piecewise graphs. Such graphs generate unrealistic interpretations and may confuse students. A group of 25 college physics students was provided with such a graph and asked to analyse its adherence to reality. The majority of the students (N = 16, 64%) questioned the graph’s validity. It is inferred that such graphs might not only jeopardize the function principles studied in mathematics but also undermine the purpose of studying these principles. The aim of this study was to bring this idea forth and suggest a better alignment of physics and mathematics methods.
Promoting Metacognition in Introductory Calculus-based Physics Labs

NASA Astrophysics Data System (ADS)

Grennell, Drew; Boudreaux, Andrew

2010-10-01

In the Western Washington University physics department, a project is underway to develop research-based laboratory curriculum for the introductory calculus-based course. Instructional goals not only include supporting students' conceptual understanding and reasoning ability, but also providing students with opportunities to engage in metacognition. For the latter, our approach has been to scaffold reflective thinking with guided questions. Specific instructional strategies include analysis of alternate reasoning presented in fictitious dialogues and comparison of students' initial ideas with their lab group's final, consensus understanding. Assessment of student metacognition includes pre- and post- course data from selected questions on the CLASS survey, analysis of written lab worksheets, and student opinion surveys. CLASS results are similar to a traditional physics course and analysis of lab sheets show that students struggle to engage in a metacognitive process. Future directions include video studies, as well as use of additional written assessments adapted from educational psychology.
Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets

PubMed Central

Muhiuddin, G.; Jun, Young Bae

2014-01-01

Operations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated. An example is presented to show that the R-union of two internal cubic soft sets might not be internal. A sufficient condition is provided, which ensure that the R-union of two internal cubic soft sets is also internal. Moreover, some properties of cubic soft subalgebras of BCK/BCI-algebras based on a given parameter are discussed. PMID:24895652
Experimental AMO physics in undergraduate optics and lasers courses

NASA Astrophysics Data System (ADS)

Hoyt, Chad

2017-04-01

This talk will describe experimental AMO research projects in undergraduate Lasers and Optics courses at Bethel University. The courses, which include a comprehensive lecture portion, are built on open-ended projects that have a novel aspect. Classes begin with four weeks of small student groups rotating between several standard laser and optics laboratory exercises. These may include, for example, alignment and characterization of a helium neon laser and measurements with a Michelson interferometer or a scanning Fabry-Pérot optical cavity. During the following seven weeks of the course, student groups (2-4 people) choose and pursue research questions in the lab. Their work culminates in a group manuscript and a twenty-minute presentation to the class. Projects in the spring, 2016 Optics course included experiments with ultracold lithium atoms in a magneto-optical trap, a prototype, portable, mode-locked erbium fiber laser, a home-built fiber laser frequency comb, double-slit imaging with single photons, and digital holographic tweezers (led by Nathan Lindquist). Projects in the spring, 2015 Lasers course included ultrafast optics with a mode-locked erbium fiber laser, quantum optics, surface plasmon lasers (led by Nathan Lindquist) and a low-cost, near-infrared spectrometer. Several of these projects are related to larger scale, funded research in the physics department. The format and experience in Lasers and Optics is representative of other upper-level courses at Bethel, including Fluid Mechanics and Computer Methods. A physics education research group from the University of Colorado evaluated the spring, 2015 Lasers and 2016 Optics courses. They focused on student experimental attitudes and measurements of student project ownership.
The Impact of Library Tutorials on the Information Literacy Skills of Occupational Therapy and Physical Therapy Students in an Evidence-Based Practice Course: A Rubric Assessment.

PubMed

Schweikhard, April J; Hoberecht, Toni; Peterson, Alyssa; Randall, Ken

2018-01-01

This study measures how online library instructional tutorials implemented into an evidence-based practice course have impacted the information literacy skills of occupational and physical therapy graduate students. Through a rubric assessment of final course papers, this study compares differences in students' search strategies and cited sources pre- and post-implementation of the tutorials. The population includes 180 randomly selected graduate students from before and after the library tutorials were introduced into the course curriculum. Results indicate a statistically significant increase in components of students' searching skills and ability to find higher levels of evidence after completing the library tutorials.

Is classical mechanics a prerequisite for learning physics of the 20th century?

NASA Astrophysics Data System (ADS)

Walwema, Godfrey B.; French, Debbie A.; Verley, Jim D.; Burrows, Andrea C.

2016-11-01

Physics of the 20th century has contributed significantly to modern technology, and yet many physics students are never availed the opportunity to study it as part of the curriculum. One of the possible reasons why it is not taught in high school and introductory physics courses could be because curriculum designers believe that students need a solid background in classical mechanics and calculus in order to study physics of the 20th century such as the photoelectric effect, special and general relativity, the uncertainty principle, etc. This presumption may not be justifiable or valid. The authors of this paper contend that teaching physics of the 20th century aids students in relating physics to modern technology and the real world, making studying physics exciting. In this study, the authors correlated scores for matched questions in the Mechanics Baseline Test and a physics of the 20th century test in order to examine the trend of the scores. The participants included undergraduate students attending an introductory algebra-based physics course with no intention of taking physics at a higher level. The analysis of the scores showed no significant correlation for any of the matched pairs of questions. The purpose of this article is to recommend that even without a solid background in classical mechanics, teachers can introduce physics of the 20th century to their students for increased interest.
Asymptotic Identity in Min-Plus Algebra: A Report on CPNS

PubMed Central

Li, Ming; Zhao, Wei

2012-01-01

Network calculus is a theory initiated primarily in computer communication networks, especially in the aspect of real-time communications, where min-plus algebra plays a role. Cyber-physical networking systems (CPNSs) are recently developing fast and models in data flows as well as systems in CPNS are, accordingly, greatly desired. Though min-plus algebra may be a promising tool to linearize any node in CPNS as can be seen from its applications to the Internet computing, there are tough problems remaining unsolved in this regard. The identity in min-plus algebra is one problem we shall address. We shall point out the confusions about the conventional identity in the min-plus algebra and present an analytical expression of the asymptotic identity that may not cause confusions. PMID:21822446
Individual and Collective Analyses of the Genesis of Student Reasoning Regarding the Invertible Matrix Theorem in Linear Algebra

ERIC Educational Resources Information Center

Wawro, Megan Jean

2011-01-01

In this study, I considered the development of mathematical meaning related to the Invertible Matrix Theorem (IMT) for both a classroom community and an individual student over time. In this particular linear algebra course, the IMT was a core theorem in that it connected many concepts fundamental to linear algebra through the notion of…
Virasoro algebra in the KN algebra; Bosonic string with fermionic ghosts on Riemann surfaces

DOE Office of Scientific and Technical Information (OSTI.GOV)

Koibuchi, H.

1991-10-10

In this paper the bosonic string model with fermionic ghosts is considered in the framework of the KN algebra. The authors' attentions are paid to representations of KN algebra and a Clifford algebra of the ghosts. The authors show that a Virasoro-like algebra is obtained from KN algebra when KN algebra has certain antilinear anti-involution, and that it is isomorphic to the usual Virasoro algebra. The authors show that there is an expected relation between a central charge of this Virasoro-like algebra and an anomaly of the combined system.
Instructors' Application of the Theory of Planned Behavior in Teaching Undergraduate Physical Education Courses

ERIC Educational Resources Information Center

Filho, Paulo Jose Barbosa Gutierres; Monteiro, Maria Dolores Alves Ferreira; da Silva, Rudney; Hodge, Samuel R.

2013-01-01

The purpose of this study was to analyze adapted physical education instructors' views about the application of the theory of planned behavior (TpB) in teaching physical education undergraduate courses. Participants ("n" = 17) were instructors of adapted physical activity courses from twelve randomly selected institutions of higher…
Physics in ``Polymers, Composites, and Sports Materials" an Interdisciplinary Course

NASA Astrophysics Data System (ADS)

Hagedorn, Eric; Suskavcevic, Milijana

2007-10-01

The undergraduate science course described uses the themes of polymers and composites, as used in sports materials, to teach some key concepts in introductory chemistry and physics. The course is geared towards students who are interested in science, but are still completing prerequisite mathematics courses required for science majors. Each class is built around a laboratory activity. Atoms, molecules and chemical reactions are taught in reference to making polyvinyl acetate (white glue) and polyvinyl alcohol (gel glue). These materials, combined with borax, form balls which are subsequently used in physics activities centered on free-fall and the coefficient of restitution. These activities allow the introduction of kinematics and dynamics. A free fall activity involving ice pellets, with and without embedded tissue paper, illustrates the properties of composites. The final series of activities uses balls, shoes, racquets and bats to further illustrate dynamics concepts (including friction, momentum and energy). The physical properties of these sports objects are discussed in terms of the materials of which they are made. The evaluation plan to determine the effectiveness of these activities and preliminary results are also presented.
Applying results from Physics Education Research in a large first-year service course

NASA Astrophysics Data System (ADS)

Ahrensmeier, Daria

2012-10-01

First-year service courses are among the most challenging teaching appointments, due to factors such as lack of motivation, lack of academic preparation, and huge class size. I will describe how the Labatorial Project at the University of Calgary strives to apply results from Physics Education research on inquiry-based learning, addressing misconceptions, peer instruction etc. to the small group sections of these courses. After a brief overview of the design and implementation of the labatorials for a first-year course for engineering students, I will focus on the aspects of change management and sustainability: how one initial change led to a sequence of related modifications, from the lectures to the exams and TA training, accompanied by a natural process of faculty professional development.
Teaching Linear Algebra: Proceeding More Efficiently by Staying Comfortably within Z

ERIC Educational Resources Information Center

Beaver, Scott

2015-01-01

For efficiency in a linear algebra course the instructor may wish to avoid the undue arithmetical distractions of rational arithmetic. In this paper we explore how to write fraction-free problems of various types including elimination, matrix inverses, orthogonality, and the (non-normalizing) Gram-Schmidt process.
The Simulation of an Oxidation-Reduction Titration Curve with Computer Algebra

ERIC Educational Resources Information Center

Whiteley, Richard V., Jr.

2015-01-01

Although the simulation of an oxidation/reduction titration curve is an important exercise in an undergraduate course in quantitative analysis, that exercise is frequently simplified to accommodate computational limitations. With the use of readily available computer algebra systems, however, such curves for complicated systems can be generated…
What Do the California Standards Test Results Reveal about the Movement toward Eighth-Grade Algebra for All?

ERIC Educational Resources Information Center

Liang, Jian-Hua; Heckman, Paul E.; Abedi, Jamal

2012-01-01

In California, an increasing number of 8th graders have taken algebra courses since 2003. This study examines students' California Standards Test (CST) results in grades 7 through 11, aiming to reveal who took the CST for Algebra I in 8th grade and whether the increase has led to a rise in students' taking higher-level mathematics CSTs and an…
A Framework for Mathematical Thinking: The Case of Linear Algebra

ERIC Educational Resources Information Center

Stewart, Sepideh; Thomas, Michael O. J.

2009-01-01

Linear algebra is one of the unavoidable advanced courses that many mathematics students encounter at university level. The research reported here was part of the first author's recent PhD study, where she created and applied a theoretical framework combining the strengths of two major mathematics education theories in order to investigate the…
Moving frames and prolongation algebras

NASA Technical Reports Server (NTRS)

Estabrook, F. B.

1982-01-01

Differential ideals generated by sets of 2-forms which can be written with constant coefficients in a canonical basis of 1-forms are considered. By setting up a Cartan-Ehresmann connection, in a fiber bundle over a base space in which the 2-forms live, one finds an incomplete Lie algebra of vector fields in the fields in the fibers. Conversely, given this algebra (a prolongation algebra), one can derive the differential ideal. The two constructs are thus dual, and analysis of either derives properties of both. Such systems arise in the classical differential geometry of moving frames. Examples of this are discussed, together with examples arising more recently: the Korteweg-de Vries and Harrison-Ernst systems.
Rethinking Physics for Biologists: A design-based research approach

NASA Astrophysics Data System (ADS)

Sawtelle, Vashti

2015-03-01

Biology majors at the University of Maryland are required to take courses in biology, chemistry, and physics - but they often see these courses as disconnected. Over the past three years the NEXUS/Physics course has been working to develop an interdisciplinary learning environment that bridges the disciplinary domains of biology and physics. Across the three years we have gone from teaching in a small class with one instructor to teaching in a large lecture hall with multiple instructors. We have used a design-based research approach to support critical reflection of the course at multiple-time scales. In this presentation I will detail our process of collecting systematic data, listening to and valuing students' reasoning, and bridging diverse perspectives led. I will demonstrate how this process led to improved curricular design, refined assessment objectives, and new design heuristics. This work is supported by NSF-TUES DUE 11-22818, the HHMI NEXUS grant, and a NSF Graduate Research Fellowship (DGE 0750616).
STUDY OF VARIABLES ASSOCIATED WITH FINAL GRADES IN MATHEMATICS COURSES.

ERIC Educational Resources Information Center

DAVIS, ELTON C.; RISSER, JOHN J.

THIS STUDY WAS CONDUCTED IN ORDER TO DETERMINE THE RELATIVE VALUE OF PREVIOUS GRADES IN MATHEMATICS COURSES, THE OVERALL HIGH SCHOOL GRADE POINT AVERAGE, AND THE PLACEMENT TEST IN MATHEMATICS DEVELOPED AT THE COLLEGE AS PREDICTORS OF ACHIEVEMENT IN INTRODUCTORY AND INTERMEDIATE ALGEBRA, IN COLLEGE ALGEBRA, IN TRIGONOMETRY, AND IN ANALYTIC GEOMETRY…
Color Algebras

NASA Technical Reports Server (NTRS)

Mulligan, Jeffrey B.

2017-01-01

A color algebra refers to a system for computing sums and products of colors, analogous to additive and subtractive color mixtures. The difficulty addressed here is the fact that, because of metamerism, we cannot know with certainty the spectrum that produced a particular color solely on the basis of sensory data. Knowledge of the spectrum is not required to compute additive mixture of colors, but is critical for subtractive (multiplicative) mixture. Therefore, we cannot predict with certainty the multiplicative interactions between colors based solely on sensory data. There are two potential applications of a color algebra: first, to aid modeling phenomena of human visual perception, such as color constancy and transparency; and, second, to provide better models of the interactions of lights and surfaces for computer graphics rendering.
Continuum analogues of contragredient Lie algebras (Lie algebras with a Cartan operator and nonlinear dynamical systems)

NASA Astrophysics Data System (ADS)

Saveliev, M. V.; Vershik, A. M.

1989-12-01

We present an axiomatic formulation of a new class of infinitedimensional Lie algebras-the generalizations of Z-graded Lie algebras with, generally speaking, an infinite-dimensional Cartan subalgebra and a contiguous set of roots. We call such algebras “continuum Lie algebras.” The simple Lie algebras of constant growth are encapsulated in our formulation. We pay particular attention to the case when the local algebra is parametrized by a commutative algebra while the Cartan operator (the generalization of the Cartan matrix) is a linear operator. Special examples of these algebras are the Kac-Moody algebras, algebras of Poisson brackets, algebras of vector fields on a manifold, current algebras, and algebras with differential or integro-differential cartan operator. The nonlinear dynamical systems associated with the continuum contragredient Lie algebras are also considered.
Algebraic special functions and SO(3,2)

DOE Office of Scientific and Technical Information (OSTI.GOV)

Celeghini, E., E-mail: celeghini@fi.infn.it; Olmo, M.A. del, E-mail: olmo@fta.uva.es

2013-06-15

A ladder structure of operators is presented for the associated Legendre polynomials and the sphericas harmonics. In both cases these operators belong to the irreducible representation of the Lie algebra so(3,2) with quadratic Casimir equals to −5/4. As both are also bases of square-integrable functions, the universal enveloping algebra of so(3,2) is thus shown to be homomorphic to the space of linear operators acting on the L{sup 2} functions defined on (−1,1)×Z and on the sphere S{sup 2}, respectively. The presence of a ladder structure is suggested to be the general condition to obtain a Lie algebra representation defining inmore » this way the “algebraic special functions” that are proposed to be the connection between Lie algebras and square-integrable functions so that the space of linear operators on the L{sup 2} functions is homomorphic to the universal enveloping algebra. The passage to the group, by means of the exponential map, shows that the associated Legendre polynomials and the spherical harmonics support the corresponding unitary irreducible representation of the group SO(3,2). -- Highlights: •The algebraic ladder structure is constructed for the associated Legendre polynomials (ALP). •ALP and spherical harmonics support a unitary irreducible SO(3,2)-representation. •A ladder structure is the condition to get a Lie group representation defining “algebraic special functions”. •The “algebraic special functions” connect Lie algebras and L{sup 2} functions.« less
Using Laboratory Homework to Facilitate Skill Integration and Assess Understanding in Intermediate Physics Courses

NASA Astrophysics Data System (ADS)

Johnston, Marty; Jalkio, Jeffrey

2013-04-01

By the time students have reached the intermediate level physics courses they have been exposed to a broad set of analytical, experimental, and computational skills. However, their ability to independently integrate these skills into the study of a physical system is often weak. To address this weakness and assess their understanding of the underlying physical concepts we have introduced laboratory homework into lecture based, junior level theoretical mechanics and electromagnetics courses. A laboratory homework set replaces a traditional one and emphasizes the analysis of a single system. In an exercise, students use analytical and computational tools to predict the behavior of a system and design a simple measurement to test their model. The laboratory portion of the exercises is straight forward and the emphasis is on concept integration and application. The short student reports we collect have revealed misconceptions that were not apparent in reviewing the traditional homework and test problems. Work continues on refining the current problems and expanding the problem sets.
A Mathematics Entrance Exam for General (Non-Majors) Physics

ERIC Educational Resources Information Center

Chediak, Alex

2010-01-01

In a previous issue of "The Physics Teacher", John Hubisz explained how a mathematics background check has been used at three different colleges to determine the appropriate physics sequence for incoming students. Based on their performance, students are placed into either calculus-based physics (CBP), algebra-trig physics (ATP), or a year of…
Student Connections of Linear Algebra Concepts: An Analysis of Concept Maps

ERIC Educational Resources Information Center

Lapp, Douglas A.; Nyman, Melvin A.; Berry, John S.

2010-01-01

This article examines the connections of linear algebra concepts in a first course at the undergraduate level. The theoretical underpinnings of this study are grounded in the constructivist perspective (including social constructivism), Vernaud's theory of conceptual fields and Pirie and Kieren's model for the growth of mathematical understanding.…

Insights from a Subject Knowledge Enhancement Course for Preparing New Chemistry and Physics Teachers

ERIC Educational Resources Information Center

Inglis, Michael; Mallaburn, Andrea; Tynan, Richard; Clays, Ken; Jones, Robert Bryn

2013-01-01

A recent Government response to shortages of new physics and chemistry teachers is the extended subject knowledge enhancement (SKE) course. Graduates without a physics or chemistry bachelor degree are prepared by an SKE course to enter a Postgraduate Certificate in Education (PGCE) programme to become science teachers with a physics or chemistry…
An Investigation of How a Physics Professional Development Course Influenced the Teaching Practices of Five Elementary School Teachers

ERIC Educational Resources Information Center

Harlow, Danielle B.

2014-01-01

This paper reports the results of an investigation of how a professional development content course based on the Physics and Everyday Thinking (PET) curriculum affected the teaching practices of five case study elementary school teachers. The findings of this study highlight different ways that teachers use what they learn in content courses to…
Team Teaching and Cooperative Groups in Abstract Algebra: Nurturing a New Generation of Confident Mathematics Teachers

ERIC Educational Resources Information Center

Grassl, R.; Mingus, T. T. Y.

2007-01-01

Experiences in designing and teaching a reformed abstract algebra course are described. This effort was partially a result of a five year statewide National Science Foundation (NSF) grant entitled the Rocky Mountain Teacher Enhancement Collaborative. The major thrust of this grant was to implement reform in core mathematics courses that would…
The Role of Mothers' Communication in Promoting Motivation for Math and Science Course-Taking in High School.

PubMed

Hyde, Janet S; Canning, Elizabeth A; Rozek, Christopher S; Clarke, Emily; Hulleman, Chris S; Harackiewicz, Judith M

2017-03-01

In the context of concerns about American youths' failure to take advanced math and science (MS) courses in high school, we examined mothers' communication with their adolescent about taking MS courses. At ninth grade, U.S. mothers (n = 130) were interviewed about their responses to hypothetical questions from their adolescent about the usefulness of algebra, geometry, calculus, biology, chemistry, and physics. Responses were coded for elaboration and making personal connections to the adolescent. The number of science, technology, engineering, and mathematics courses taken in 12th grade was obtained from school records. Mothers' use of personal connections predicted adolescents' MS interest and utility value, as well as actual MS course-taking. Parents can play an important role in motivating their adolescent to take MS courses. © 2016 The Authors. Journal of Research on Adolescence © 2016 Society for Research on Adolescence.
A Teaching Intervention to Increase Achievement of Hispanic Nonscience Majors Taking Physical Science Courses

ERIC Educational Resources Information Center

Poelzer, G. Herold; Zeng, Liang

2008-01-01

This quasi-experimental pilot study of nonscience majors taking a physical science course at a university in South Texas was conducted on Hispanic undergraduate students, and is theory based--an application of attribution theory. That the treatment group outperformed the comparison group provides evidence of the positive effect of having students…
Quantization and Superselection Sectors I:. Transformation Group C*-ALGEBRAS

NASA Astrophysics Data System (ADS)

Landsman, N. P.

Quantization is defined as the act of assigning an appropriate C*-algebra { A} to a given configuration space Q, along with a prescription mapping self-adjoint elements of { A} into physically interpretable observables. This procedure is adopted to solve the problem of quantizing a particle moving on a homogeneous locally compact configuration space Q=G/H. Here { A} is chosen to be the transformation group C*-algebra corresponding to the canonical action of G on Q. The structure of these algebras and their representations are examined in some detail. Inequivalent quantizations are identified with inequivalent irreducible representations of the C*-algebra corresponding to the system, hence with its superselection sectors. Introducing the concept of a pre-Hamiltonian, we construct a large class of G-invariant time-evolutions on these algebras, and find the Hamiltonians implementing these time-evolutions in each irreducible representation of { A}. “Topological” terms in the Hamiltonian (or the corresponding action) turn out to be representation-dependent, and are automatically induced by the quantization procedure. Known “topological” charge quantization or periodicity conditions are then identically satisfied as a consequence of the representation theory of { A}.
An Investigation of Tertiary-Level Learning in Some Practical Physics Courses

ERIC Educational Resources Information Center

Wang, Weili; Coll, Richard K.

2005-01-01

Experimental physics is seen as an essential part of tertiary physics education. Students are supposed to develop practical skills and advance from closed "cookbook" experiments to open experiment and design experiment procedures independently. As a consequence tertiary practical physics courses increase in the level of challenge…
Preliminary Success and Retention Rates in Selected Math Courses. Research Report.

ERIC Educational Resources Information Center

Cuesta Coll., San Luis Obispo, CA. Matriculation and Research Services.

This report presents findings of exploratory research on success, retention, and persistence in math courses at Cuesta College. The following research questions were addressed: (1) How do success rates in Math 23 (elementary algebra) and Math 27 (intermediate algebra) compare with traditional and computer-assisted formats? (2) What are the…
Black Holes and Pulsars in the Introductory Physics Course

ERIC Educational Resources Information Center

Orear, Jay; Salpeter, E. E.

1973-01-01

Discusses the phenomenon of formation of white dwarfs, neutron stars, and black holes from dying stars for the purpose of providing college teachers with materials usable in the introductory physics course. (CC)
Identifying the Elements of Physics Courses that Impact Student Learning: Curriculum, Instructor, Peers, and Assessment

ERIC Educational Resources Information Center

West, Emily Lincoln Ashbaugh

2009-01-01

Prior research across hundreds for introductory physics courses has demonstrated that traditional physics instruction does not generally lead to students learning physics concepts in a meaningful way, but that interactive-engagement physics courses do sometimes promote a great deal more student learning. In this work I analyze a reform effort in a…
Software Development Of XML Parser Based On Algebraic Tools

NASA Astrophysics Data System (ADS)

Georgiev, Bozhidar; Georgieva, Adriana

2011-12-01

In this paper, is presented one software development and implementation of an algebraic method for XML data processing, which accelerates XML parsing process. Therefore, the proposed in this article nontraditional approach for fast XML navigation with algebraic tools contributes to advanced efforts in the making of an easier user-friendly API for XML transformations. Here the proposed software for XML documents processing (parser) is easy to use and can manage files with strictly defined data structure. The purpose of the presented algorithm is to offer a new approach for search and restructuring hierarchical XML data. This approach permits fast XML documents processing, using algebraic model developed in details in previous works of the same authors. So proposed parsing mechanism is easy accessible to the web consumer who is able to control XML file processing, to search different elements (tags) in it, to delete and to add a new XML content as well. The presented various tests show higher rapidity and low consumption of resources in comparison with some existing commercial parsers.
The Examination of the Attitudes of Secondary School Students towards Physical Education Course

ERIC Educational Resources Information Center

Keskin, Özkan; Hergüner, Gülten; Dönmez, Ahmet; Berisha, Milaim; Üçan, Erkan

2017-01-01

The aim of this study is to examine the attitudes of primary education students towards physical education courses according to certain variables. 640 students from elementary schools in the city center and several counties of Sakarya participated in the study. In the designating of the students' attitudes towards the physical education courses,…
Generalizing the bms3 and 2D-conformal algebras by expanding the Virasoro algebra

NASA Astrophysics Data System (ADS)

Caroca, Ricardo; Concha, Patrick; Rodríguez, Evelyn; Salgado-Rebolledo, Patricio

2018-03-01

By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the bms3 algebra are obtained from the Virasoro algebra. We extend this result to construct new families of expanded Virasoro algebras that turn out to be infinite-dimensional lifts of the so-called Bk, Ck and Dk algebras recently introduced in the literature in the context of (super)gravity. We also show how some of these new infinite-dimensional symmetries can be obtained from expanded Kač-Moody algebras using modified Sugawara constructions. Applications in the context of three-dimensional gravity are briefly discussed.
Trends in Algebra II Completion and Failure Rates for Students Entering Texas Public High Schools. REL 2018-289

ERIC Educational Resources Information Center

Stoker, Ginger; Mellor, Lynn; Sullivan, Kate

2018-01-01

This study examines Algebra II completion and failure rates for students entering Texas public high schools from 2007/08 through 2014/15. This period spans the time when Texas students, beginning with the 2007/08 grade 9 cohort, were required to take four courses each in English, math (including Algebra II), science, and social studies (called the…
Relationships Among Goal Contents, Exercise Motivations, Physical Activity, and Aerobic Fitness in University Physical Education Courses.

PubMed

Sibley, Benjamin A; Bergman, Shawn M

2016-04-01

The current research examined the relationships among exercise goal contents, behavioral regulation, physical activity, and aerobic fitness within the context of eight-week university physical education courses. Participants were undergraduate students (M age = 20.2 year, SD = 2.3) enrolled in activity courses (N = 461) during the 2010 Fall semester. At pretest, participants completed a demographic survey, Behavioral Regulation in Exercise Questionnaire and the Goal Contents in Exercise Questionnaire. At eight-week posttest, participants completed the Physical Activity Questionnaire for Adults and the PACER aerobic fitness test. Relative intrinsic goal content was found to predict physical activity indirectly and aerobic fitness via behavioral regulation. Specific goal contents related to health management and skill development were found to predict physical activity and aerobic fitness via a fully mediated path through identified and intrinsic regulation. Results supported the efficacy of goal contents and self-determination theory in describing physical activity behavior and fitness. Examining specific types of goal contents and behavioral regulations revealed relationships that were masked by the utilization of omnibus scoring protocols. © The Author(s) 2016.
Applicability of the Newtonian gravity concept inventory to introductory college physics classes

NASA Astrophysics Data System (ADS)

Williamson, Kathryn; Prather, Edward E.; Willoughby, Shannon

2016-06-01

The study described here extends the applicability of the Newtonian Gravity Concept Inventory (NGCI) to college algebra-based physics classes, beyond the general education astronomy courses for which it was originally developed. The four conceptual domains probed by the NGCI (Directionality, Force Law, Independence of Other Forces, and Threshold) are well suited for investigating students' reasoning about gravity in both populations, making the NGCI a highly versatile instrument. Classical test theory statistical analysis with physics student responses pre-instruction (N = 1,392) and post-instruction (N = 929) from eight colleges and universities across the United States indicate that the NGCI is composed of items with appropriate difficulty and discrimination and is reliable for this population. Also, expert review and student interviews support the NGCI's validity for the physics population. Emergent similarities and differences in how physics students reason about gravity compared to astronomy students are discussed, as well as future directions for analyzing the instrument's item parameters across both populations.
Addressing Gender Disparity in Introductory Physics Courses: Are existing reforms enough?

NASA Astrophysics Data System (ADS)

Finkelstein, Noah; Pollock, Steven; Dubson, Michael

2007-03-01

Previously researchers have reported that by transforming teaching practices in introductory physics, it is possible to eliminate the disparity in achievement of males and females on measures of conceptual learning. [1] We follow-up on the studies of the original researchers by comparing achievement of male and female students on measures of conceptual learning in the introductory physics courses at a large public research university. Just as the original authors find, we observe that reform teaching practices, such as the use of Peer Instruction [2] increase the learning gains of all students in introductory physics. Additionally, we observe a significant reduction in this gender gap in learning gains in some but not all of our transformed courses. Notably, however, the gender gap does not completely disappear in any of our courses. In addition to discussing learning gains, we analyze shifts in student beliefs [3] and examine correlations between student beliefs and learning gains. [1] Lorenzo, M et al. (2006).Am. J. Phys. 74(2): 118-122 [2] Mazur, E. (1997). Peer Instruction (Prentice Hall). [3] Adams, W.K et al. Physical Review, ST:PER. 2,1,010101.
Generalizing a Categorization of Students' Interpretations of Linear Kinematics Graphs

ERIC Educational Resources Information Center

Bollen, Laurens; De Cock, Mieke; Zuza, Kristina; Guisasola, Jenaro; van Kampen, Paul

2016-01-01

We have investigated whether and how a categorization of responses to questions on linear distance-time graphs, based on a study of Irish students enrolled in an algebra-based course, could be adopted and adapted to responses from students enrolled in calculus-based physics courses at universities in Flanders, Belgium (KU Leuven) and the Basque…
Quiver W-algebras

NASA Astrophysics Data System (ADS)

Kimura, Taro; Pestun, Vasily

2018-06-01

For a quiver with weighted arrows, we define gauge-theory K-theoretic W-algebra generalizing the definition of Shiraishi et al. and Frenkel and Reshetikhin. In particular, we show that the qq-character construction of gauge theory presented by Nekrasov is isomorphic to the definition of the W-algebra in the operator formalism as a commutant of screening charges in the free field representation. Besides, we allow arbitrary quiver and expect interesting applications to representation theory of generalized Borcherds-Kac-Moody Lie algebras, their quantum affinizations and associated W-algebras.
Course-Based Undergraduate Research--It Can Be Accomplished!

ERIC Educational Resources Information Center

Allyn, Debra A.

2013-01-01

This article describes a senior seminar course in the Health and Human Performance (HHP) Department at the University of Wisconsin-River Falls. All students in the HHP department are required to complete the course. The emphases within HHP include physical education, health education, and exercise and sport science. In this course students learn…

Conceptual Demands in the Nuffield O-Level Physics Course

ERIC Educational Resources Information Center

Shayer, Michael

1972-01-01

Critical examination of the Teachers' Guide and Guide to Experiments and Questions Book in O-level Nuffield physics course reveals there may be disadvantages to the current organization when analyzed with psychological considerations. (PS)
Linear algebraic methods applied to intensity modulated radiation therapy.

PubMed

Crooks, S M; Xing, L

2001-10-01

Methods of linear algebra are applied to the choice of beam weights for intensity modulated radiation therapy (IMRT). It is shown that the physical interpretation of the beam weights, target homogeneity and ratios of deposited energy can be given in terms of matrix equations and quadratic forms. The methodology of fitting using linear algebra as applied to IMRT is examined. Results are compared with IMRT plans that had been prepared using a commercially available IMRT treatment planning system and previously delivered to cancer patients.
Interactive, Collaborative, Electronic Learning Logs in the Physics Classroom

NASA Astrophysics Data System (ADS)

Gosling, Chris

2006-12-01

I describe my experiences using Hickman's Interactive Collaborative Electronic Learning Logs teaching HS Physics. ICE Learning Logs are written in student groups to answer questions posed by the instructor, who then in turn responds to each group’s entry before the next class. These logs were used with non-physics majors in both algebra and calculus-based introductory physics courses, and also at the high school level. I found ICE Learning Logs were found to be a clear improvement over traditional student journals. Excerpts from group entries will be presented to demonstrate the group identities that formed as well as the utility of the journals to probe for conceptual understanding. In addition, the ICE Learning Logs served as an excellent resource for students to review before exams and also to examine for critical moments to reflect on in formal essays. Hickman, P. (2000). Assessing student understanding with interactive-electronic-collaborative learning logs. ENC Focus, 7(2), 24-27. Sponsored by the National Science Foundation DUE0302097 and SUNY-Buffalo State Physics
Principal Component Analysis: Resources for an Essential Application of Linear Algebra

ERIC Educational Resources Information Center

Pankavich, Stephen; Swanson, Rebecca

2015-01-01

Principal Component Analysis (PCA) is a highly useful topic within an introductory Linear Algebra course, especially since it can be used to incorporate a number of applied projects. This method represents an essential application and extension of the Spectral Theorem and is commonly used within a variety of fields, including statistics,…
Quantum teleportation and Birman-Murakami-Wenzl algebra

NASA Astrophysics Data System (ADS)

Zhang, Kun; Zhang, Yong

2017-02-01

In this paper, we investigate the relationship of quantum teleportation in quantum information science and the Birman-Murakami-Wenzl (BMW) algebra in low-dimensional topology. For simplicity, we focus on the two spin-1/2 representation of the BMW algebra, which is generated by both the Temperley-Lieb projector and the Yang-Baxter gate. We describe quantum teleportation using the Temperley-Lieb projector and the Yang-Baxter gate, respectively, and study teleportation-based quantum computation using the Yang-Baxter gate. On the other hand, we exploit the extended Temperley-Lieb diagrammatical approach to clearly show that the tangle relations of the BMW algebra have a natural interpretation of quantum teleportation. Inspired by this interpretation, we construct a general representation of the tangle relations of the BMW algebra and obtain interesting representations of the BMW algebra. Therefore, our research sheds a light on a link between quantum information science and low-dimensional topology.
Mat-Rix-Toe: Improving Writing through a Game-Based Project in Linear Algebra

ERIC Educational Resources Information Center

Graham-Squire, Adam; Farnell, Elin; Stockton, Julianna Connelly

2014-01-01

The Mat-Rix-Toe project utilizes a matrix-based game to deepen students' understanding of linear algebra concepts and strengthen students' ability to express themselves mathematically. The project was administered in three classes using slightly different approaches, each of which included some editing component to encourage the…
Computer algebra and operators

NASA Technical Reports Server (NTRS)

Fateman, Richard; Grossman, Robert

1989-01-01

The symbolic computation of operator expansions is discussed. Some of the capabilities that prove useful when performing computer algebra computations involving operators are considered. These capabilities may be broadly divided into three areas: the algebraic manipulation of expressions from the algebra generated by operators; the algebraic manipulation of the actions of the operators upon other mathematical objects; and the development of appropriate normal forms and simplification algorithms for operators and their actions. Brief descriptions are given of the computer algebra computations that arise when working with various operators and their actions.
From Earth Algebra to Earth Math: An Expansion and Dissemination of the Methods of Earth Algebra [and] Proceedings, Earth Math Conference (Kennesaw, Georgia, April 19-20, 1996).

ERIC Educational Resources Information Center

Zumoff, Nancy; Schaufele, Christopher

This final report and appended conference proceedings describe activities of the Earth Math project, a 3-year effort at Kennesaw State University (Georgia) to broaden and disseminate the concept of Earth Algebra to precalculus and mathematics education courses. Major outcomes of the project were the draft of a precalculus textbook now being…
Fostering Scientific Thinking by Prospective Teachers in a Course That Integrates Physics and Literacy Learning

ERIC Educational Resources Information Center

van Zee, Emily H.; Jansen, Henri; Winograd, Kenneth; Crowl, Michele; Devitt, Adam

2013-01-01

We designed a physics course for prospective elementary and middle school teachers to foster aspects of scientific thinking recommended in reform documents. Because the elementary school curriculum focuses heavily on literacy, we also explicitly integrated physics and literacy learning in this course. By integrating physics and literacy learning,…
Correlating student interest and high school preparation with learning and performance in an introductory university physics course

NASA Astrophysics Data System (ADS)

Harlow, Jason J. B.; Harrison, David M.; Meyertholen, Andrew

2014-06-01

We have studied the correlation of student performance in a large first year university physics course with their reasons for taking the course and whether or not the student took a senior-level high school physics course. Performance was measured both by the Force Concept Inventory and by the grade on the final examination. Students who took the course primarily for their own interest outperformed students who took the course primarily because it was required, both on the Force Concept Inventory and on the final examination; students who took a senior-level high school physics course outperformed students who did not, also both on the Force Concept Inventory and on the final exam. Students who took the course for their own interest and took high school physics outperformed students who took the course because it was required and did not take high school physics by a wide margin. However, the normalized gain on the Force Concept Inventory was the same within uncertainties for all groups and subgroups of students.
Physics First: Impact of course sequencing on the attitudes of female students toward science

NASA Astrophysics Data System (ADS)

O'Connor, Linda Miller

This study was causal-comparative research to determine if there is any relationship between course sequencing and female students' attitudes toward science and their intent to participate in advanced level science courses or pursue science related careers. Physics First promotes the reversal of the traditional sequencing of high school science courses (biology, chemistry and physics) to physics, chemistry and biology or a two or three year integrated European science approach. Physics as a first year high school course of study necessitates changing the course approach to a more conceptual approach and less mathematical and theoretical. Eleventh grade students from two suburban Chicago high schools comprised the sample. The two schools were judged to be extremely similar in their demographic make-up as reported in the 2002 Illinois School Report Card. The notable difference between the schools being the science course sequence recommended for average and above average students. The sample responded to a scanable questionnaire consisting of demographic data and the Test of Science Related Attitudes (TOSRA). TOSRA is a seventy item Likert Scale instrument that addresses attitudes in seven domains; social implications of science, normality of scientists, attitude toward inquiry, adoption of scientific attitudes, enjoyment of science lessons, leisure interest in science, and career interest in science. Values from 1-50 are obtained for each domain with no overall attitude value assigned. The research found that girls in general had significantly more positive attitudes toward science in all seven of the measured domains and the females from the traditional approach were more positive than the females from the Physics First approach. Girls from the traditional approach also reported intent to take high-level (AP) science courses in their senior year at a significantly higher rate than did the girls in Physics First. Neither science approach showed any significance in
Hawking fluxes, fermionic currents, W{sub 1+{infinity}} algebra, and anomalies

DOE Office of Scientific and Technical Information (OSTI.GOV)

Bonora, L.; Cvitan, M.; Theoretical Physics Department, Faculty of Science, University of Zagreb Bijenicka cesta 32, HR-10002 Zagreb

2009-10-15

We complete the analysis carried out in previous papers by studying the Hawking radiation for a Kerr black hole carried to infinity by fermionic currents of any spin. We find agreement with the thermal spectrum of the Hawking radiation for fermionic degrees of freedom. We start by showing that the near-horizon physics for a Kerr black hole is approximated by an effective two-dimensional field theory of fermionic fields. Then, starting from two-dimensional currents of any spin that form a W{sub 1+{infinity}} algebra, we construct an infinite set of covariant currents, each of which carries the corresponding moment of the Hawkingmore » radiation. All together they agree with the thermal spectrum of the latter. We show that the predictive power of this method is based not on the anomalies of the higher-spin currents (which are trivial) but on the underlying W{sub 1+{infinity}} structure. Our results point toward the existence in the near-horizon geometry of a symmetry larger than the Virasoro algebra, which very likely takes the form of a W{sub {infinity}} algebra.« less
The Primary Student Teachers' Views about a Blended Learning Application in a Basic Physics Course

ERIC Educational Resources Information Center

Taskin Ekici, Fatma; Kara, Izzet; Ekici, Erhan

2012-01-01

In this study we present an overview of the undergraduate blended Physics course that has been supported by the Moodle platform. The course that has been applied is a basic physics course for primary student teachers. The aim of Moodle is to create an online learning environment which helps students to have a virtual space where they can share…
The Pathway Active Learning Environment: An interactive web-based tool for physics education

NASA Astrophysics Data System (ADS)

Nakamura, Christopher Matthew

The work described here represents an effort to design, construct, and test an interactive online multimedia learning environment that can provide physics instruction to students in their homes. The system was designed with one-on-one human tutoring in mind as the mode of instruction. The system uses an original combination of a video-based tutor that incorporates natural language processing video-centered lessons and additional illustrative multimedia. Our Synthetic Interview (SI) tutor provides pre-recorded video answers from expert physics instructors in response to students' typed natural language questions. Our lessons cover Newton's laws and provide a context for the tutoring interaction to occur, connect physics ideas to real-world behavior of mechanical systems, and allow for quantitative testing of physics. Additional multimedia can be used to supplement the SI tutors' explanations and illustrate the physics of interest. The system is targeted at students of algebra-based and concept-based physics at the college and high school level. The system logs queries to the SI tutor, responses to lesson questions and several other interactions with the system, tagging those interactions with a username and timestamp. We have provided several groups of students with access to our system under several different conditions ranging from the controlled conditions of our interview facility to the naturalistic conditions of use at home. In total nearly two-hundred students have accessed the system. To gain insight into the ways students might use the system and understand the utility of its various components we analyzed qualitative interview data collected with 22 algebra-based physics students who worked with our system in our interview facility. We also performed a descriptive analysis of data from the system's log of user interactions. Finally we explored the use of machine learning to explore the possibility of using automated assessment to augment the interactive
Advanced Linear Algebra: A Call for the Early Introduction of Complex Numbers

ERIC Educational Resources Information Center

Garcia, Stephan Ramon

2017-01-01

A second course in linear algebra that goes beyond the traditional lower-level curriculum is increasingly important for students of the mathematical sciences. Although many applications involve only real numbers, a solid understanding of complex arithmetic often sheds significant light. Many instructors are unaware of the opportunities afforded by…
Do physical therapists change their beliefs, attitudes, knowledge, skills and behaviour after a biopsychosocially orientated university course?

PubMed

Overmeer, Thomas; Boersma, Katja; Main, Chris J; Linton, Steven J

2009-08-01

The aim of this study is to examine the effects of an 8-day university-based training course, aimed at identifying and addressing psychosocial prognostic factors during physiotherapy treatment, in shifting therapists towards a more biopsychosocial orientation as measured by changes in beliefs/attitudes, knowledge, skills and behaviour. We combined a randomized controlled trail with a pre-post design. Forty-two physiotherapists applied for a university-accredited training course designed to enhance knowledge and management of psychosocial factors in their practice with patients suffering from musculoskeletal pain. The course participants were randomized either to receiving the course or to a waiting list for training. Attitudes and beliefs towards, and knowledge of psychosocial factors, patient vignettes and a video of an imaginary patient were tested before and after training. The patients of the course participants were asked to fill out a questionnaire with background questions at treatment start. The patients also received a questionnaire about the physical therapists' behaviour and patient satisfaction 6 weeks after treatment start. The results show that physical therapists' attitudes and believes became more biopsychosocially and less biomedically orientated, they were less convinced that pain justifies disability and limitation of activities, and their knowledge and skills on psychosocial risk factors increased after a university-accredited training course. Yet despite these changes their patients perceived their practice behaviour before and after the course as similar and were equally satisfied with their treatment and treatment result. A course, which enhanced biopsychosocial attitudes and beliefs, as well as increased such knowledge and skills did not change the way patients perceived their physical therapists. A future question is whether it improves patient outcome.
Overcoming Students' Misconceptions Concerning Thermal Physics with the Aid of Hints and Peer Interaction during a Lecture Course

ERIC Educational Resources Information Center

Leinonen, Risto; Asikainen, Mervi A.; Hirvonen, Pekka E.

2013-01-01

As has been shown by previous research, students may possess various misconceptions in the area of thermal physics. In order to help them overcome misconceptions observed prior to instruction, we implemented a one-hour lecture-based intervention in their introductory thermal physics course. The intervention was held after the conventional lectures…
The analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference

NASA Astrophysics Data System (ADS)

Ma'rufi, Budayasa, I. Ketut; Juniati, Dwi

2017-08-01

The aim of this study was to describe the analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference. The purpose of this study is to describe the analysis of mathematics teacher's learning on limit algebraic functions in terms of the differences of teaching experience. Learning analysis focused on Pedagogical Content Knowledge (PCK) of teachers in mathematics on limit algebraic functions related to the knowledge of pedagogy. PCK of teachers on limit algebraic function is a type of specialized knowledge for teachers on how to teach limit algebraic function that can be understood by students. Subjects are two high school mathematics teacher who has difference of teaching experience they are one Novice Teacher (NP) and one Experienced Teacher (ET). Data are collected through observation of learning in the class, videos of learning, and then analyzed using qualitative analysis. Teacher's knowledge of Pedagogic defined as a knowledge and understanding of teacher about planning and organizing of learning, and application of learning strategy. The research results showed that the Knowledge of Pedagogy on subject NT in mathematics learning on the material of limit function algebra showed that the subject NT tended to describe procedurally, without explaining the reasons why such steps were used, asking questions which tended to be monotonous not be guiding and digging deeper, and less varied in the use of learning strategies while subject ET gave limited guidance and opportunities to the students to find their own answers, exploit the potential of students to answer questions, provide an opportunity for students to interact and work in groups, and subject ET tended to combine conceptual and procedural explanation.
A Algebraic Approach to the Quantization of Constrained Systems: Finite Dimensional Examples.

NASA Astrophysics Data System (ADS)

Tate, Ranjeet Shekhar

1992-01-01

General relativity has two features in particular, which make it difficult to apply to it existing schemes for the quantization of constrained systems. First, there is no background structure in the theory, which could be used, e.g., to regularize constraint operators, to identify a "time" or to define an inner product on physical states. Second, in the Ashtekar formulation of general relativity, which is a promising avenue to quantum gravity, the natural variables for quantization are not canonical; and, classically, there are algebraic identities between them. Existing schemes are usually not concerned with such identities. Thus, from the point of view of canonical quantum gravity, it has become imperative to find a framework for quantization which provides a general prescription to find the physical inner product, and is flexible enough to accommodate non -canonical variables. In this dissertation I present an algebraic formulation of the Dirac approach to the quantization of constrained systems. The Dirac quantization program is augmented by a general principle to find the inner product on physical states. Essentially, the Hermiticity conditions on physical operators determine this inner product. I also clarify the role in quantum theory of possible algebraic identities between the elementary variables. I use this approach to quantize various finite dimensional systems. Some of these models test the new aspects of the algebraic framework. Others bear qualitative similarities to general relativity, and may give some insight into the pitfalls lurking in quantum gravity. The previous quantizations of one such model had many surprising features. When this model is quantized using the algebraic program, there is no longer any unexpected behaviour. I also construct the complete quantum theory for a previously unsolved relativistic cosmology. All these models indicate that the algebraic formulation provides powerful new tools for quantization. In (spatially compact
Generalized algebraic scene-based nonuniformity correction algorithm.

PubMed

Ratliff, Bradley M; Hayat, Majeed M; Tyo, J Scott

2005-02-01

A generalization of a recently developed algebraic scene-based nonuniformity correction algorithm for focal plane array (FPA) sensors is presented. The new technique uses pairs of image frames exhibiting arbitrary one- or two-dimensional translational motion to compute compensator quantities that are then used to remove nonuniformity in the bias of the FPA response. Unlike its predecessor, the generalization does not require the use of either a blackbody calibration target or a shutter. The algorithm has a low computational overhead, lending itself to real-time hardware implementation. The high-quality correction ability of this technique is demonstrated through application to real IR data from both cooled and uncooled infrared FPAs. A theoretical and experimental error analysis is performed to study the accuracy of the bias compensator estimates in the presence of two main sources of error.

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