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.

An analysis of science content and representations in introductory college physics textbooks and multimodal learning resources

NASA Astrophysics Data System (ADS)

Donnelly, Suzanne M.

This study features a comparative descriptive analysis of the physics content and representations surrounding the first law of thermodynamics as presented in four widely used introductory college physics textbooks representing each of four physics textbook categories (calculus-based, algebra/trigonometry-based, conceptual, and technical/applied). Introducing and employing a newly developed theoretical framework, multimodal generative learning theory (MGLT), an analysis of the multimodal characteristics of textbook and multimedia representations of physics principles was conducted. The modal affordances of textbook representations were identified, characterized, and compared across the four physics textbook categories in the context of their support of problem-solving. Keywords: college science, science textbooks, multimodal learning theory, thermodynamics, representations

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.

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.

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

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.

Indicators of Student Engagement: What Teachers Notice during Introductory Algebra Lessons

ERIC Educational Resources Information Center

Nyman, Rimma

2015-01-01

This article presents results from an empirical study of how student engagement is visible during introductory algebra. Previously, the notion of engagement in mathematics has been studied from students' and researchers' perspectives. This study is instead focused on teachers' perspectives on student engagement. Eight teachers in grade 6-7 have…

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.

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…

Peer Discussions in Lecture-Based Tutorials in Introductory Physics

ERIC Educational Resources Information Center

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

2017-01-01

This study analyzes the types of peer discussion that occur during lecture-based tutorial sessions. It focuses in particular on whether discussions of this kind have certain characteristics that might indicate success in the post-testing phase. The data were collected during an introductory physics course. The main data set was gathered with the…

Teaching Electrostatics and Entropy in Introductory Physics

NASA Astrophysics Data System (ADS)

Reeves, Mark

Entropy changes underlie the physics that dominates biological interactions. Indeed, introductory biology courses often begin with an exploration of the qualities of water that are important to living systems. However, one idea that is not explicitly addressed in most introductory physics or biology courses is important contribution of the entropy in driving fundamental biological processes towards equilibrium. I will present material developed to teach electrostatic screening in solutions and the function of nerve cells where entropic effects act to counterbalance electrostatic attraction. These ideas are taught in an introductory, calculus-based physics course to biomedical engineers using SCALEUP pedagogy. Results of student mastering of complex problems that cross disciplinary boundaries between biology and physics, as well as the challenges that they face in learning this material will be presented.

A cognitive framework for analyzing and describing introductory students' use and understanding of mathematics in physics

NASA Astrophysics Data System (ADS)

Tuminaro, Jonathan

Many introductory, algebra-based physics students perform poorly on mathematical problem solving tasks in physics. There are at least two possible, distinct reasons for this poor performance: (1) students simply lack the mathematical skills needed to solve problems in physics, or (2) students do not know how to apply the mathematical skills they have to particular problem situations in physics. While many students do lack the requisite mathematical skills, a major finding from this work is that the majority of students possess the requisite mathematical skills, yet fail to use or interpret them in the context of physics. In this thesis I propose a theoretical framework to analyze and describe students' mathematical thinking in physics. In particular, I attempt to answer two questions. What are the cognitive tools involved in formal mathematical thinking in physics? And, why do students make the kinds of mistakes they do when using mathematics in physics? According to the proposed theoretical framework there are three major theoretical constructs: mathematical resources, which are the knowledge elements that are activated in mathematical thinking and problem solving; epistemic games, which are patterns of activities that use particular kinds of knowledge to create new knowledge or solve a problem; and frames, which are structures of expectations that determine how individuals interpret situations or events. The empirical basis for this study comes from videotaped sessions of college students solving homework problems. The students are enrolled in an algebra-based introductory physics course. The videotapes were transcribed and analyzed using the aforementioned theoretical framework. Two important results from this work are: (1) the construction of a theoretical framework that offers researchers a vocabulary (ontological classification of cognitive structures) and grammar (relationship between the cognitive structures) for understanding the nature and origin of

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.

Instructional strategies for online introductory college physics based on learning styles

NASA Astrophysics Data System (ADS)

Ekwue, Eleazer U.

The practical nature of physics and its reliance on mathematical presentations and problem solving pose a challenge toward presentation of the course in an online environment for effective learning experience. Most first-time introductory college physics students fail to grasp the basic concepts of the course and the problem solving skills if the instructional strategy used to deliver the course is not compatible with the learners' preferred learning styles. This study investigates the effect of four instructional strategies based on four learning styles (listening, reading, iconic, and direct-experience) to improve learning for introductory college physics in an online environment. Learning styles of 146 participants were determined with Canfield Learning Style inventory. Of the 85 learners who completed the study, research results showed a statistically significant increase in learning performance following the online instruction in all four learning style groups. No statistically significant differences in learning were found among the four groups. However, greater significant academic improvement was found among learners with iconic and direct-experience modes of learning. Learners in all four groups expressed that the design of the unit presentation to match their individual learning styles contributed most to their learning experience. They were satisfied with learning a new physics concept online that, in their opinion, is either comparable or better than an instructor-led classroom experience. Findings from this study suggest that learners' performance and satisfaction in an online introductory physics course could be improved by using instructional designs that are tailored to learners' preferred ways of learning. It could contribute toward the challenge of providing viable online physics instruction in colleges and universities.

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.

Inquiry-based problem solving in introductory physics

NASA Astrophysics Data System (ADS)

Koleci, Carolann

What makes problem solving in physics difficult? How do students solve physics problems, and how does this compare to an expert physicist's strategy? Over the past twenty years, physics education research has revealed several differences between novice and expert problem solving. The work of Chi, Feltovich, and Glaser demonstrates that novices tend to categorize problems based on surface features, while experts categorize according to theory, principles, or concepts1. If there are differences between how problems are categorized, then are there differences between how physics problems are solved? Learning more about the problem solving process, including how students like to learn and what is most effective, requires both qualitative and quantitative analysis. In an effort to learn how novices and experts solve introductory electricity problems, a series of in-depth interviews were conducted, transcribed, and analyzed, using both qualitative and quantitative methods. One-way ANOVA tests were performed in order to learn if there are any significant problem solving differences between: (a) novices and experts, (b) genders, (c) students who like to answer questions in class and those who don't, (d) students who like to ask questions in class and those who don't, (e) students employing an interrogative approach to problem solving and those who don't, and (f) those who like physics and those who dislike it. The results of both the qualitative and quantitative methods reveal that inquiry-based problem solving is prevalent among novices and experts, and frequently leads to the correct physics. These findings serve as impetus for the third dimension of this work: the development of Choose Your Own Adventure Physics(c) (CYOAP), an innovative teaching tool in physics which encourages inquiry-based problem solving. 1Chi, M., P. Feltovich, R. Glaser, "Categorization and Representation of Physics Problems by Experts and Novices", Cognitive Science, 5, 121--152 (1981).

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

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.

Three Important Taylor Series for Introductory Physics

DTIC Science & Technology

2009-09-01

series by the sum of its first few terms is useful throughout an introductory physics course . Example applications [1, 2] include estimating square...Lat. Am. J. Phys. Educ. Vol. 3, No. 3, Sept. 2009 535 http://www.journal.lapen.org.mx Three Important Taylor Series for Introductory Physics...one dimension, which instructively ties the mathematical development to physics concepts already presented in introductory courses . Keywords

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…

A MOOC for Introductory Physics

NASA Astrophysics Data System (ADS)

Schatz, Michael

2014-03-01

We describe an effort to develop and to implement a college-level introductory physics (mechanics) MOOC that offers bona fide laboratory experiences. We also discuss efforts to use MOOC curricular materials to ``flip'' the classroom in a large lecture introductory physics course offered on-campus at Georgia Tech. Preliminary results of assessments and surveys from both MOOC and on-campus students will be presented.

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.

Examining issues of underrepresented minority students in introductory physics

NASA Astrophysics Data System (ADS)

Watkins, Jessica Ellen

In this dissertation we examine several issues related to the retention of under-represented minority students in physics and science. In the first section, we show that in calculus-based introductory physics courses, the gender gap on the FCI is diminished through the use of interactive techniques, but in lower-level introductory courses, the gap persists, similar to reports published at other institutions. We find that under-represented racial minorities perform similar to their peers with comparable academic preparation on conceptual surveys, but their average exam grades and course grades are lower. We also examine student persistence in science majors; finding a significant relationship between pedagogy in an introductory physics course and persistence in science. In the second section, we look at student end-of-semester evaluations and find that female students rate interactive teaching methods a full point lower than their male peers. Looking more deeply at student interview data, we find that female students report more social issues related to the discussions in class and both male and female students cite feeling pressure to obtain the correct answer to clicker questions. Finally, we take a look an often-cited claim for gender differences in STEM participation: cognitive differences explain achievement differences in physics. We examine specifically the role of mental rotations in physics achievement and problem-solving, viewing mental rotations as a tool that students can use on physics problems. We first look at student survey results for lower-level introductory students, finding a low, but significant correlation between performance on a mental rotations test and performance in introductory physics courses. In contrast, we did not find a significant relationship for students in the upper-level introductory course. We also examine student problem-solving interviews to investigate the role of mental rotations on introductory problems.

Development and Assessment of a Preliminary Randomization-Based Introductory Statistics Curriculum

ERIC Educational Resources Information Center

Tintle, Nathan; VanderStoep, Jill; Holmes, Vicki-Lynn; Quisenberry, Brooke; Swanson, Todd

2011-01-01

The algebra-based introductory statistics course is the most popular undergraduate course in statistics. While there is a general consensus for the content of the curriculum, the recent Guidelines for Assessment and Instruction in Statistics Education (GAISE) have challenged the pedagogy of this course. Additionally, some arguments have been made…

Reducing the failure rate in introductory physics classes

NASA Astrophysics Data System (ADS)

Saul, Jeff; Coulombe, Patrick; Lindell, Rebecca

2017-01-01

Calculus-based introductory physics courses are often among the most difficult at many colleges and universities. With the national movement to increase STEM majors, the introductory calculus-based courses need to be less of a weed-out course and more of a course that propels students forward into successful majors. This talk discusses two approaches to reduce DFW rates and improve student retention: studio courses and parachute courses. Studio courses integrate lecture/laboratory into one course where the primary mode of instruction is small group activities. Typically, any students enrolled in the college or university can enroll in a studio version of the course. Parachute courses on the other hand, focus on the poor performing students. Designed so that students not doing well in an introductory physics course can switch into the parachute class mid-semester without harm to their GPA. In addition, the parachute course focuses on helping students build the knowledge and skills necessary for success when retaking the calculus-based Physics course. The studio course format has been found to reduce DFW rates at several universities by 40-60% compared with separate lecture and laboratory format versions of the same courses, while parachutes courses were less successful. At one university, the parachute course succeeded in helping 80% of students maintain their GPA, but only helped 20% successfully pass the calculus-based physics course.

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.

Teaching Introductory Physics with an Environmental Focus

ERIC Educational Resources Information Center

Martinuk, Mathew; Moll, Rachel F.; Kotlicki, Andrzej

2010-01-01

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. The instructional team at the University of British Columbia (UBC) recently…

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.…

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

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.

Using an isomorphic problem pair to learn introductory physics: Transferring from a two-step problem to a three-step problem

NASA Astrophysics Data System (ADS)

Lin, Shih-Yin; Singh, Chandralekha

2013-12-01

In this study, we examine introductory physics students’ ability to perform analogical reasoning between two isomorphic problems which employ the same underlying physics principles but have different surface features. 382 students from a calculus-based and an algebra-based introductory physics course were administered a quiz in the recitation in which they had to learn from a solved problem provided and take advantage of what they learned from it to solve another isomorphic problem (which we call the quiz problem). The solved problem provided has two subproblems while the quiz problem has three subproblems, which is known from previous research to be challenging for introductory students. In addition to the solved problem, students also received extra scaffolding supports that were intended to help them discern and exploit the underlying similarities of the isomorphic solved and quiz problems. The data analysis suggests that students had great difficulty in transferring what they learned from a two-step problem to a three-step problem. Although most students were able to learn from the solved problem to some extent with the scaffolding provided and invoke the relevant principles in the quiz problem, they were not necessarily able to apply the principles correctly. We also conducted think-aloud interviews with six introductory students in order to understand in depth the difficulties they had and explore strategies to provide better scaffolding. The interviews suggest that students often superficially mapped the principles employed in the solved problem to the quiz problem without necessarily understanding the governing conditions underlying each principle and examining the applicability of the principle in the new situation in an in-depth manner. Findings suggest that more scaffolding is needed to help students in transferring from a two-step problem to a three-step problem and applying the physics principles appropriately. We outline a few possible strategies

Connecting Symbolic Integrals to Physical Meaning in Introductory Physics

NASA Astrophysics Data System (ADS)

Amos, Nathaniel R.

This dissertation presents a series of studies pertaining to introductory physics students' abilities to derive physical meaning from symbolic integrals (e.g., the integral of vdt) and their components, namely differentials and differential products (e.g., dt and vdt, respectively). Our studies focus on physical meaning in the form of interpretations (e.g., "the total displacement of an object") and units (e.g., "meters"). Our first pair of studies independently attempted to identify introductory-level mechanics students' common conceptual difficulties with and unproductive interpretations of physics integrals and their components, as well as to estimate the frequencies of these difficulties. Our results confirmed some previously-observed incorrect interpretations, such as the notion that differentials are physically meaningless; however, we also uncovered two new conceptualizations of differentials, the "rate" (differentials are "rates" or "derivatives") and "instantaneous value" (differentials are values of physical variables "at an instant") interpretations, which were exhibited by more than half of our participants at least once. Our next study used linear regression analysis to estimate the strengths of the inter-connections between the abilities to derive physical meaning from each of differentials, differential products, and integrals in both first- and second-semester, calculus-based introductory physics. As part of this study, we also developed a highly reliable, multiple choice assessment designed to measure students' abilities to connect symbolic differentials, differential products, and integrals with their physical interpretations and units. Findings from this study were consistent with statistical mediation via differential products. In particular, students' abilities to extract physical meaning from differentials were seen to be strongly related to their abilities to derive physical meaning from differential products, and similarly differential

New Approach to Analyzing Physics Problems: A Taxonomy of Introductory Physics Problems

ERIC Educational Resources Information Center

Teodorescu, Raluca E.; Bennhold, Cornelius; Feldman, Gerald; Medsker, Larry

2013-01-01

This paper describes 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 in order to design educational objectives, to develop…

Beginning Introductory Physics with Two-Dimensional Motion

ERIC Educational Resources Information Center

Huggins, Elisha

2009-01-01

During the session on "Introductory College Physics Textbooks" at the 2007 Summer Meeting of the AAPT, there was a brief discussion about whether introductory physics should begin with one-dimensional motion or two-dimensional motion. Here we present the case that by starting with two-dimensional motion, we are able to introduce a considerable…

A calculus based on a q-deformed Heisenberg algebra

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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

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.

GRIPs (Group Investigation Problems) for Introductory Physics

NASA Astrophysics Data System (ADS)

Moore, Thomas A.

2006-12-01

GRIPs lie somewhere between homework problems and simple labs: they are open-ended questions that require a mixture of problem-solving skills and hands-on experimentation to solve practical puzzles involving simple physical objects. In this talk, I will describe three GRIPs that I developed for a first-semester introductory calculus-based physics course based on the "Six Ideas That Shaped Physics" text. I will discuss the design of the three GRIPs we used this past fall, our experience in working with students on these problems, and students' response as reported on course evaluations.

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.

Using a Dual Safeguard Web-Based Interactive Teaching Approach in an Introductory Physics Class

ERIC Educational Resources Information Center

Li, Lie-Ming; Li, Bin; Luo, Ying

2015-01-01

We modified the Just-in-Time Teaching approach and developed a dual safeguard web-based interactive (DGWI) teaching system for an introductory physics course. The system consists of four instructional components that improve student learning by including warm-up assignments and online homework. Student and instructor activities involve activities…

Equity Investigation of Attitudinal Shifts in Introductory Physics

ERIC Educational Resources Information Center

Traxler, Adrienne; Brewe, Eric

2015-01-01

We report on seven years of attitudinal data using the Colorado Learning Attitudes about Science Survey from University Modeling Instruction (UMI) sections of introductory physics at Florida International University. University Modeling Instruction is a curricular and pedagogical transformation of introductory university physics that engages…

Fourier Analysis in Introductory Physics

ERIC Educational Resources Information Center

Huggins, Elisha

2007-01-01

In an after-dinner talk at the fall 2005 meeting of the New England chapter of the AAPT, Professor Robert Arns drew an analogy between classical physics and Classic Coke. To generations of physics teachers and textbook writers, classical physics was the real thing. Modern physics, which in introductory textbooks "appears in one or more extra…

Instructional Strategies for Online Introductory College Physics Based on Learning Styles

ERIC Educational Resources Information Center

Ekwue, Eleazer U.

2013-01-01

The practical nature of physics and its reliance on mathematical presentations and problem solving pose a challenge toward presentation of the course in an online environment for effective learning experience. Most first-time introductory college physics students fail to grasp the basic concepts of the course and the problem solving skills if the…

Analysis of the Impact of Introductory Physics on Engineering Students at Texas A&M University

NASA Astrophysics Data System (ADS)

Perry, Jonathan; Bassichis, William

Introductory physics forms a major part of the foundational knowledge of engineering majors, independent of discipline and institution. While the content of introductory physics courses is consistent from institution to institution, the manner in which it is taught can vary greatly due to professor, textbook, instructional method, and overall course design. This work attempts to examine variations in student success, as measured by overall academic performance in an engineering major, and matriculation rates, based on the type of introductory physics a student took while enrolled in an engineering degree at Texas A&M University. Specific options for introductory physics at Texas A&M University include two calculus based physics courses, one traditional (UP), and one more mathematically rigorous (DP), transfer credit, and high school (AP or dual) credit. In order to examine the impact of introductory physics on a student's degree progression, data mining analyses are performed on a data set of relatively comprehensive academic records for all students enrolled as an engineering major for a minimum of one academic term. Student data has been collected for years of entering freshman beginning in 1990 and ending in 2010. Correlations will be examined between freshman level courses, including introductory physics, and follow on engineering courses, matriculation rates, and time to graduation.

Case-study experiments in the introductory physics curriculum

NASA Astrophysics Data System (ADS)

Arion, D. N.; Crosby, K. M.; Murphy, E. A.

2000-09-01

Carthage College added inquiry-based case study activities to the traditional introductory physics laboratory. Student teams designed, constructed, and executed their own experiments to study real-world phenomena, through which they gained understanding both of physic principles and methods of physics research. Assessment results and student feedback through teacher evaluations indicate that these activities improved student attitudes about physics as well as their ability to solve physics problems relative to previous course offerings that did not include case study.

Impact Crater Experiments for Introductory Physics and Astronomy Laboratories

ERIC Educational Resources Information Center

Claycomb, J. R.

2009-01-01

Activity-based collisional analysis is developed for introductory physics and astronomy laboratory experiments. Crushable floral foam is used to investigate the physics of projectiles undergoing completely inelastic collisions with a low-density solid forming impact craters. Simple drop experiments enable determination of the average acceleration,…

Tutorials in Introductory Physics: The Pain and the Gain

ERIC Educational Resources Information Center

Cruz, Emerson; O'Shea, Brian; Schaffenberger, Werner; Wolf, Steven; Kortemeyer, Gerd

2010-01-01

In an introductory physics sequence with a large enrollment of premedical students, traditional recitation sessions were replaced by "Tutorials in Introductory Physics," developed by the Physics Education Group at the University of Washington. Initially, summative test scores (as well as FCI scores) dramatically increased, but so did…

Spherical Rare-Earth Magnets in Introductory Physics

ERIC Educational Resources Information Center

Adams, Al

2007-01-01

Permanent magnets have long been used in both traditional laboratory exercises and in inquiry-based learning activities. These pedagogical applications are typically timed to correspond to the early coverage of magnetism in the second-semester sequence of introductory physics. At the initial level the concepts relate to the magnetic field of the…

Introductory Physics Gender Gaps: Pre- and Post-Studio Transition

NASA Astrophysics Data System (ADS)

Kohl, Patrick B.; Kuo, H. Vincent

2009-11-01

Prior work has characterized the gender gaps present in college-level introductory physics courses. Such work has also shown that research-based interactive engagement techniques can reduce or eliminate these gender gaps. In this paper, we study the gender gaps (and lack thereof) in the introductory calculus-based electricity and magnetism course at the Colorado School of Mines. We present eight semesters' worth of data, totaling 2577 students, with four semesters preceding a transition to Studio physics, and four following. We examine gender gaps in course grades, DFW (D grade, fail, or withdrawal) rates, and normalized gains on the Conceptual Survey of Electricity and Magnetism (CSEM), and consider factors such as student ACT scores and grades in prior math classes. We find little or no gap in male/female course grades and DFW rates, but substantial gaps in CSEM gains that are reduced somewhat by the transition to Studio physics.

Introductory Physics Students' Physics and Mathematics Epistemologies

ERIC Educational Resources Information Center

Scanlon, Erin M.

2017-01-01

The purpose of this three study dissertation is to investigate why students are enrolled in introductory physics courses experience difficulties in being successful; one possible source of their difficulties is related to their epistemology. In order to investigate students' epistemologies about mathematics and physics, students were observed…

Engaging Students In Modeling Instruction for Introductory Physics

NASA Astrophysics Data System (ADS)

Brewe, Eric

2016-05-01

Teaching introductory physics is arguably one of the most important things that a physics department does. It is the primary way that students from other science disciplines engage with physics and it is the introduction to physics for majors. Modeling instruction is an active learning strategy for introductory physics built on the premise that science proceeds through the iterative process of model construction, development, deployment, and revision. We describe the role that participating in authentic modeling has in learning and then explore how students engage in this process in the classroom. In this presentation, we provide a theoretical background on models and modeling and describe how these theoretical elements are enacted in the introductory university physics classroom. We provide both quantitative and video data to link the development of a conceptual model to the design of the learning environment and to student outcomes. This work is supported in part by DUE #1140706.

MRI Experiments for Introductory Physics

ERIC Educational Resources Information Center

Taghizadeh, Sanaz; Lincoln, James

2018-01-01

The introductory physics classroom has long educated students about the properties of the atom and the nucleus. But absent from these lessons has been an informed discussion of magnetic resonance imaging (MRI) and its parent science nuclear magnetic resonance (NMR). Physics teachers should not miss the opportunity to instruct upon this highly…

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

Mediating relationship of differential products in understanding integration in introductory physics

NASA Astrophysics Data System (ADS)

Amos, Nathaniel; Heckler, Andrew F.

2018-01-01

In the context of introductory physics, we study student conceptual understanding of differentials, differential products, and integrals and possible pathways to understanding these quantities. We developed a multiple choice conceptual assessment employing a variety of physical contexts probing physical understanding of these three quantities and administered the instrument to over 1000 students in first and second semester introductory physics courses. Using a regression-based mediation analysis with conceptual understanding of integration as the dependent variable, we found evidence consistent with a simple mediation model: the relationship between differentials scores and integral scores may be mediated by the understanding of differential products. The indirect effect (a quantifiable metric of mediation) was estimated as a b =0.29 , 95% CI [0.25, 0.33] for N =1102 Physics 1 students, and a b =0.27 , 95% CI [0.14, 0.48] for N =65 Physics 2 students. We also find evidence that the physical context of the questions can be an important factor. These results imply that for introductory physics courses, instructional emphasis first on differentials then on differential products in a variety of contexts may in turn promote better integral understanding.

Pre-Service Physics Teachers' Opinions about the Difficulties in Understanding Introductory Quantum Physics Topics

ERIC Educational Resources Information Center

Kizilcik, Hasan Sahin; Yavas, Pervin Ünlü

2017-01-01

The aim of this study is to identify the opinions of pre-service physics teachers about the difficulties in introductory quantum physics topics. In this study conducted with twenty-five pre-service physics teachers, the case study method was used. The participants were interviewed about introductory quantum physics topics. The interviews were…

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.…

Examining the Gender Gap in Introductory Physics

NASA Astrophysics Data System (ADS)

Kost, Lauren; Pollock, Steven; Finkelstein, Noah

2009-05-01

Our previous research[1] showed that despite the use of interactive engagement techniques in the introductory physics course, the gap in performance between males and females on a mechanics conceptual learning survey persisted from pre- to post-test, at our institution. Such findings were counter to previously published work[2]. Follow-up studies[3] identified correlations between student performance on the conceptual learning survey and students' prior physics and math knowledge and their incoming attitudes and beliefs about physics and learning physics. The results indicate that the gender gap at our institution is predominantly associated with differences in males' and females' previous physics and math knowledge, and attitudes and beliefs. Our current work extends these results in two ways: 1) we look at the gender gap in the second semester of the introductory sequence and find results similar to those in the first semester course and 2) we identify ways in which males and females differentially experience several aspects of the introductory course. [1] Pollock, et al, Phys Rev: ST: PER 3, 010107. [2] Lorenzo, et al, Am J Phys 74, 118. [3] Kost, et al, PERC Proceedings 2008.

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…

Assessing Expertise in Introductory Physics Using Categorization Task

ERIC Educational Resources Information Center

Mason, Andrew; Singh, Chandralekha

2011-01-01

The ability to categorize problems based upon underlying principles, rather than surface features or contexts, is considered one of several proxy predictors of expertise in problem solving. With inspiration from the classic study by Chi, Feltovich, and Glaser, we assess the distribution of expertise among introductory physics students by asking…

Archiving Student Solutions with Tablet PCs in a Discussion-based Introductory Physics Class

NASA Astrophysics Data System (ADS)

Price, Edward; De Leone, Charles

2008-10-01

Many active learning based physics courses use whiteboards as a space for groups to respond to prompts based on short lab activities, problem solving, or inquiry-oriented activities. Whiteboards are volatile; once erased, the material is lost. Tablet PCs and software such as Ubiquitous Presenter can be used as digital whiteboards in active learning classes. This enables automatic capture and archiving of student work for online review by students, instructors, and researchers. We studied the use of digital whiteboards in an active-learning introductory physics course at California State University, San Marcos. In this paper we examine the archival features of digital whiteboards', and characterize the use of these features by students and instructors, and explore possible uses for researchers and curriculum developers.

Introductory Physics Students' Physics and Mathematics Epistemologies

NASA Astrophysics Data System (ADS)

Scanlon, Erin M.

The purpose of this three study dissertation is to investigate why students are enrolled in introductory physics courses experience difficulties in being successful; one possible source of their difficulties is related to their epistemology. In order to investigate students' epistemologies about mathematics and physics, students were observed solving physics problems in groups during a laboratory course (study 1) and while solving physics and mathematics problems individually during office-hour sessions (study 2). The Epistemological Resources theoretical framework was employed (Hammer & Elby, 2002). Using emergent and a priori epistemological resource operationalizations (Jones, 2015), 25 distinct epistemological resources were identified in study 1. Differences in physics epistemological resource usage between students of varying academic background (as measured by their number of previously completed mathematics and science classes were identified. By employing an external (Jones, 2015) and internal (Scanlon, 2016) a priori epistemological resource coding scheme, a total of 17 distinct epistemological resources were identified in study 2. The data were sampled to compare the mathematics and physics epistemological resource usage of participants with consistent and inconsistent sign usage in an energy conservation physics problem in order to provide a meaningful context for discussion. Participants of the same sign usage group employed epistemological resources similarly. Conversely, participants in different groups had significantly different physics epistemological resource usage patterns. Finally, student epistemological resource usage patterns from the first two studies were compared to course outcomes in order to determine implications for practice (study 3). Educators must be aware of and address the epistemological underpinnings of students' difficulties in introductory physics courses.

Toward equity through participation in Modeling Instruction in introductory university physics

NASA Astrophysics Data System (ADS)

Brewe, Eric; Sawtelle, Vashti; Kramer, Laird H.; O'Brien, George E.; Rodriguez, Idaykis; Pamelá, Priscilla

2010-06-01

We report the results of a five year evaluation of the reform of introductory calculus-based physics by implementation of Modeling Instruction (MI) at Florida International University (FIU), a Hispanic-serving institution. MI is described in the context of FIU’s overall effort to enhance student participation in physics and science broadly. Our analysis of MI from a “participationist” perspective on learning identifies aspects of MI including conceptually based instruction, culturally sensitive instruction, and cooperative group learning, which are consistent with research on supporting equitable learning and participation by students historically under-represented in physics (i.e., Black, Hispanic, women). This study uses markers of conceptual understanding as measured by the Force Concept Inventory (FCI) and odds of success as measured by the ratio of students completing introductory physics and earning a passing grade (i.e., C- or better) by students historically under-represented in physics to reflect equity and participation in introductory physics. FCI pre and post scores for students in MI are compared with lecture-format taught students. Modeling Instruction students outperform students taught in lecture-format classes on post instruction FCI (61.9% vs 47.9%, p<0.001 ), where these benefits are seen across both ethnic and gender comparisons. In addition, we report that the odds of success in MI are 6.73 times greater than in lecture instruction. Both odds of success and FCI scores within Modeling Instruction are further disaggregated by ethnicity and by gender to address the question of equity within the treatment. The results of this disaggregation indicate that although ethnically under-represented students enter with lower overall conceptual understanding scores, the gap is not widened during introductory physics but instead is maintained, and the odds of success for under-represented students is not different from majority students. Women

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.

Gender differences in introductory university physics performance: The influence of high school physics preparation and affect

NASA Astrophysics Data System (ADS)

Hazari, Zahra Sana

The attrition of females studying physics after high school is a concern to the science education community. Most undergraduate science programs require introductory physics coursework. Thus, success in introductory physics is necessary for students to progress to higher levels of science study. Success also influences attitudes; if females are well-prepared, feel confident, and do well in introductory physics, they may be inclined to study physics further. This quantitative study using multilevel modeling focused on determining factors from high school physics preparation (content, pedagogy, and assessment) and the affective domain that influenced female and male performance in introductory university physics. The study controlled for some university/course level characteristics as well as student demographic and academic background characteristics. The data consisted of 1973 surveys from 54 introductory physics courses within 35 universities across the US. The results highlight high school physics and affective experiences that differentially influenced female and male performance. These experiences include: learning requirements, computer graphing/analysis, long written problems, everyday world examples, community projects, cumulative tests/quizzes, father's encouragement, family's belief that science leads to a better career, and the length of time students believed that high school physics would help in university physics. There were also experiences that had a similar influence on female and male performance. Positively related to performance were: covering fewer topics for longer periods of time, the history of physics as a recurring topic, physics-related videos, and test/quiz questions that involved calculations and/or were drawn from standardized tests. Negatively related to performance were: student-designed projects, reading/discussing labs the day before performing them, microcomputer based laboratories, discussion after demonstrations, and family

The Pythagorean Roots of Introductory Physics

ERIC Educational Resources Information Center

Clarage, James B.

2013-01-01

Much of the mathematical reasoning employed in the typical introductory physics course can be traced to Pythagorean roots planted over two thousand years ago. Besides obvious examples involving the Pythagorean theorem, I draw attention to standard physics problems and derivations which often unknowingly rely upon the Pythagoreans' work on…

Characterizing, modeling, and addressing gender disparities in introductory college physics

NASA Astrophysics Data System (ADS)

Kost-Smith, Lauren Elizabeth

2011-12-01

The underrepresentation and underperformance of females in physics has been well documented and has long concerned policy-makers, educators, and the physics community. In this thesis, we focus on gender disparities in the first- and second-semester introductory, calculus-based physics courses at the University of Colorado. Success in these courses is critical for future study and careers in physics (and other sciences). Using data gathered from roughly 10,000 undergraduate students, we identify and model gender differences in the introductory physics courses in three areas: student performance, retention, and psychological factors. We observe gender differences on several measures in the introductory physics courses: females are less likely to take a high school physics course than males and have lower standardized mathematics test scores; males outscore females on both pre- and post-course conceptual physics surveys and in-class exams; and males have more expert-like attitudes and beliefs about physics than females. These background differences of males and females account for 60% to 70% of the gender gap that we observe on a post-course survey of conceptual physics understanding. In analyzing underlying psychological factors of learning, we find that female students report lower self-confidence related to succeeding in the introductory courses (self-efficacy) and are less likely to report seeing themselves as a "physics person". Students' self-efficacy beliefs are significant predictors of their performance, even when measures of physics and mathematics background are controlled, and account for an additional 10% of the gender gap. Informed by results from these studies, we implemented and tested a psychological, self-affirmation intervention aimed at enhancing female students' performance in Physics 1. Self-affirmation reduced the gender gap in performance on both in-class exams and the post-course conceptual physics survey. Further, the benefit of the self

Surveying college introductory physics students’ attitudes and approaches to problem solving

NASA Astrophysics Data System (ADS)

Mason, Andrew J.; Singh, Chandralekha

2016-09-01

Students’ attitudes and approaches to problem solving in physics can greatly impact their actual problem solving practices and also influence their motivation to learn and ultimately the development of expertise. We developed and validated an attitudes and approaches to problem solving (AAPS) survey and administered it to students in the introductory physics courses in a typical large research university in the US. Here, we discuss the development and validation of the survey and analysis of the student responses to the survey questions in introductory physics courses. The introductory physics students’ responses to the survey questions were also compared with those of physics faculty members and physics PhD students. We find that introductory students are in general less expert-like than the physics faculty members and PhD students. Moreover, on some AAPS survey questions, the responses of students and faculty have unexpected trends. Those trends were interpreted via individual interviews, which helped clarify reasons for those survey responses.

Constraint-Referenced Analytics of Algebra Learning

ERIC Educational Resources Information Center

Sutherland, Scot M.; White, Tobin F.

2016-01-01

The development of the constraint-referenced analytics tool for monitoring algebra learning activities presented here came from the desire to firstly, take a more quantitative look at student responses in collaborative algebra activities, and secondly, to situate those activities in a more traditional introductory algebra setting focusing on…

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…

Examining students' views about validity of experiments: From introductory to Ph.D. students

NASA Astrophysics Data System (ADS)

Hu, Dehui; Zwickl, Benjamin M.

2018-06-01

We investigated physics students' epistemological views on measurements and validity of experimental results. The roles of experiments in physics have been underemphasized in previous research on students' personal epistemology, and there is a need for a broader view of personal epistemology that incorporates experiments. An epistemological framework incorporating the structure, methodology, and validity of scientific knowledge guided the development of an open-ended survey. The survey was administered to students in algebra-based and calculus-based introductory physics courses, upper-division physics labs, and physics Ph.D. students. Within our sample, we identified several differences in students' ideas about validity and uncertainty in measurement. The majority of introductory students justified the validity of results through agreement with theory or with results from others. Alternatively, Ph.D. students frequently justified the validity of results based on the quality of the experimental process and repeatability of results. When asked about the role of uncertainty analysis, introductory students tended to focus on the representational roles (e.g., describing imperfections, data variability, and human mistakes). However, advanced students focused on the inferential roles of uncertainty analysis (e.g., quantifying reliability, making comparisons, and guiding refinements). The findings suggest that lab courses could emphasize a variety of approaches to establish validity, such as by valuing documentation of the experimental process when evaluating the quality of student work. In order to emphasize the role of uncertainty in an authentic way, labs could provide opportunities to iterate, make repeated comparisons, and make decisions based on those comparisons.

Fourier Analysis in Introductory Physics

NASA Astrophysics Data System (ADS)

Huggins, Elisha

2007-01-01

In an after-dinner talk at the fall 2005 meeting of the New England chapter of the AAPT, Professor Robert Arns drew an analogy between classical physics and Classic Coke. To generations of physics teachers and textbook writers, classical physics was the real thing. Modern physics, which in introductory textbooks "appears in one or more extra chapters at the end of the book, … is a divertimento that we might get to if time permits." Modern physics is more like vanilla or lime Coke, probably a fad, while "Classic Coke is part of your life; you do not have to think about it twice."

Semantics in Teaching Introductory Physics.

ERIC Educational Resources Information Center

Williams, H. Thomas

1999-01-01

Contends that the large vocabulary used for precise purposes in physics contains many words that have related but potentially confusing meanings in everyday usage. Analyzes the treatment of Newton's Laws of Motion in several well-known introductory textbooks for evidence of inconsistent language use. Makes teaching suggestions. (Contains 11…

Replicating effective pedagogical approaches from introductory physics to improve student learning of quantum mechanics

NASA Astrophysics Data System (ADS)

Sayer, Ryan Thomas

Upper-level undergraduate students entering a quantum mechanics (QM) course are in many ways similar to students entering an introductory physics course. Numerous studies have investigated the difficulties that novices face in introductory physics as well as the pedagogical approaches that are effective in helping them overcome those difficulties. My research focuses on replicating effective approaches and instructional strategies used in introductory physics courses to help advanced students in an upper-level QM course. I have investigated the use of Just-in-time Teaching (JiTT) and peer discussion involving clicker questions in an upper-level quantum mechanics course. The JiTT approach including peer discussions was effective in helping students overcome their difficulties and improve their understanding of QM concepts. Learning tools, such as a Quantum Interactive Learning Tutorial (QuILT) based on the Doubleslit Experiment (DSE) which I helped develop, have been successful in helping upper-level undergraduate students improve their understanding of QM. Many students have also demonstrated the ability to transfer knowledge from a QuILT based on the Mach-Zehnder interferometer while working on the DSE QuILT. In addition, I have been involved in implementing research-based activities during our semester-long professional development course for teaching assistants (TAs). In one intervention, TAs were asked to grade student solutions to introductory physics problems first using their choice of method, then again using a rubric designed to promote effective problem-solving approaches, then once more at the end of the semester using their choice of method. This intervention found that many TAs have ingrained beliefs about the purposes of grading which include placing the burden of proof on the instructor as well as a belief that grading cannot serve as a formative assessment. I also compared TAs grading practices and considerations when grading student solutions to QM

Unpacking Gender Differences in Students' Perceived Experiences in Introductory Physics

NASA Astrophysics Data System (ADS)

Kost, Lauren E.; Pollock, Steven J.; Finkelstein, Noah D.

2009-11-01

Prior research has shown, at our institution: 1) males outperform females on conceptual assessments (a gender gap), 2) the gender gap persists despite the use of research-based reforms, and 3) the gender gap is correlated with students' physics and mathematics background and prior attitudes and beliefs [Kost, et al. PRST-PER, 5, 010101]. Our follow-up work begins to explore how males and females experience the introductory course differently and how these differences relate to the gender gap. We gave a survey to students in the introductory course in which we investigated students' physics identity and self-efficacy. We find there are significant gender differences in each of these three areas, and further find that these measures are weakly correlated with student conceptual performance, and moderately correlated with course grade.

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)

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.

Improving student learning and views of physics in a large enrollment introductory physics class

NASA Astrophysics Data System (ADS)

Salehzadeh Einabad, Omid

Introductory physics courses often serve as gatekeepers for many scientific and engineering programs and, increasingly, colleges are relying on large, lecture formats for these courses. Many students, however, leave having learned very little physics and with poor views of the subject. In interactive engagement (IE), classroom activities encourage students to engage with each other and with physics concepts and to be actively involved in their own learning. These methods have been shown to be effective in introductory physics classes with small group recitations. This study examined student learning and views of physics in a large enrollment course that included IE methods with no separate, small-group recitations. In this study, a large, lecture-based course included activities that had students explaining their reasoning both verbally and in writing, revise their ideas about physics concepts, and apply their reasoning to various problems. The questions addressed were: (a) What do students learn about physics concepts and how does student learning in this course compare to that reported in the literature for students in a traditional course?, (b) Do students' views of physics change and how do students' views of physics compare to that reported in the literature for students in a traditional course?, and (c) Which of the instructional strategies contribute to student learning in this course? Data included: pre-post administration of the Force Concept Inventory (FCI), classroom exams during the term, pre-post administration of the Colorado Learning Attitudes About Science Survey (CLASS), and student work, interviews, and open-ended surveys. The average normalized gain (=0.32) on the FCI falls within the medium-gain range as reported in the physics education literature, even though the average pre-test score was very low (30%) and this was the instructor's first implementation of IE methods. Students' views of physics remained relatively unchanged by instruction

MRI experiments for introductory physics

NASA Astrophysics Data System (ADS)

Taghizadeh, Sanaz; Lincoln, James

2018-04-01

The introductory physics classroom has long educated students about the properties of the atom and the nucleus. But absent from these lessons has been an informed discussion of magnetic resonance imaging (MRI) and its parent science nuclear magnetic resonance (NMR). Physics teachers should not miss the opportunity to instruct upon this highly relevant application of modern physics, especially with so many of our students planning to pursue a career in medicine. This article provides an overview of the physics of MRI and gives advice on how physics teachers can introduce this topic. Also included are some demonstration activities and a discussion of a desktop MRI apparatus that may be used by students in the lab or as a demo.

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.

Restructuring Introductory Physics by Adapting an Active Learning Studio Model

ERIC Educational Resources Information Center

Gatch, Delena

2010-01-01

Despite efforts to engage students in the traditional lecture environment, faculty in Georgia Southern University's Physics Department became dissatisfied with lecture as the primary means of instruction. During the fall semester of 2006, our department began adapting the studio model to suit the needs of introductory calculus-based physics…

Gender Differences in Introductory University Physics Performance: The Influence of High School Physics Preparation and Affective Factors

ERIC Educational Resources Information Center

Hazari, Zahra; Tai, Robert H.; Sadler, Philip M.

2007-01-01

The attrition of females studying physics after high school is a growing concern to the science education community. Most undergraduate science programs require introductory physics coursework. Thus, success in introductory physics is usually necessary for students to progress to higher levels of science study. Success also influences attitudes;…

Peer discussions in lecture-based tutorials in introductory physics

NASA Astrophysics Data System (ADS)

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

2017-06-01

This study analyzes the types of peer discussion that occur during lecture-based tutorial sessions. It focuses in particular on whether discussions of this kind have certain characteristics that might indicate success in the post-testing phase. The data were collected during an introductory physics course. The main data set was gathered with the aid of audio recordings. Data-driven content analysis was applied in the analysis to facilitate the placement of students' discussions in particular categories related to different types of discussions. Four major discussion types were found: discussions related to the content knowledge, metalevel discussions including metaconceptual and metacognitive elements, discussions related to practical issues, and creating a base for discussion, seen here in the order of their prevalence. These categories were found to possess individual substructures that involved, for example, asking and answering questions, participating in a dialogue, or disagreeing with a peer. Analyzing the substructures of the categories revealed that there were evident differences between the groups, some of them related to the group size. With regard to the characteristics of discussions considered to be connected to a better learning outcome, it was observed that a great number of lines uttered related to the physics content or metalevel discussions seemed to have a direct bearing on success in the post test at the group level. For individual students, answering content-related questions posed by their peers might also indicate success in the post test. We would encourage researchers to continue this type of research in order to discover the essential characteristics of students' discussions that facilitate learning.

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.

Using Research-Based Interactive Video Vignettes to Enhance Out-of-Class Learning in Introductory Physics

NASA Astrophysics Data System (ADS)

Laws, Priscilla W.; Willis, Maxine C.; Jackson, David P.; Koenig, Kathleen; Teese, Robert

2015-02-01

Ever since the first generalized computer-assisted instruction system (PLATO1) was introduced over 50 years ago, educators have been adding computer-based materials to their classes. Today many textbooks have complete online versions that include video lectures and other supplements. In the past 25 years the web has fueled an explosion of online homework and course management systems, both as blended learning and online courses. Meanwhile, introductory physics instructors have been implementing new approaches to teaching based on the outcomes of Physics Education Research (PER). A common theme of PER-based instruction has been the use of active-learning strategies designed to help students overcome alternative conceptions that they often bring to the study of physics.2 Unfortunately, while classrooms have become more active, online learning typically relies on passive lecture videos or Kahn-style3 tablet drawings. To bring active learning online, the LivePhoto Physics Group has been developing Interactive Video Vignettes (IVVs) that add interactivity and PER-based elements to short presentations. These vignettes incorporate web-based video activities that contain interactive elements and typically require students to make predictions and analyze real-world phenomena.

First order error corrections in common introductory physics experiments

NASA Astrophysics Data System (ADS)

Beckey, Jacob; Baker, Andrew; Aravind, Vasudeva; Clarion Team

As a part of introductory physics courses, students perform different standard lab experiments. Almost all of these experiments are prone to errors owing to factors like friction, misalignment of equipment, air drag, etc. Usually these types of errors are ignored by students and not much thought is paid to the source of these errors. However, paying attention to these factors that give rise to errors help students make better physics models and understand physical phenomena behind experiments in more detail. In this work, we explore common causes of errors in introductory physics experiment and suggest changes that will mitigate the errors, or suggest models that take the sources of these errors into consideration. This work helps students build better and refined physical models and understand physics concepts in greater detail. We thank Clarion University undergraduate student grant for financial support involving this project.

Introductory physics going soft

NASA Astrophysics Data System (ADS)

Langbeheim, Elon; Livne, Shelly; Safran, Samuel A.; Yerushalmi, Edit

2012-01-01

We describe an elective course on soft matter at the level of introductory physics. Soft matter physics serves as a context that motivates the presentation of basic ideas in statistical thermodynamics and their applications. It also is an example of a contemporary field that is interdisciplinary and touches on chemistry, biology, and physics. We outline a curriculum that uses the lattice gas model as a quantitative and visual tool, initially to introduce entropy, and later to facilitate the calculation of interactions. We demonstrate how free energy minimization can be used to teach students to understand the properties of soft matter systems such as the phases of fluid mixtures, wetting of interfaces, self-assembly of surfactants, and polymers. We discuss several suggested activities in the form of inquiry projects which allow students to apply the concepts they have learned to experimental systems.

Using a dual safeguard web-based interactive teaching approach in an introductory physics class

NASA Astrophysics Data System (ADS)

Li, Lie-Ming; Li, Bin; Luo, Ying

2015-06-01

We modified the Just-in-Time Teaching approach and developed a dual safeguard web-based interactive (DGWI) teaching system for an introductory physics course. The system consists of four instructional components that improve student learning by including warm-up assignments and online homework. Student and instructor activities involve activities both in the classroom and on a designated web site. An experimental study with control groups evaluated the effectiveness of the DGWI teaching method. The results indicate that the DGWI method is an effective way to improve students' understanding of physics concepts, develop students' problem-solving abilities through instructor-student interactions, and identify students' misconceptions through a safeguard framework based on questions that satisfy teaching requirements and cover all of the course material. The empirical study and a follow-up survey found that the DGWI method increased student-teacher interaction and improved student learning outcomes.

Introductory physics in biological context: An approach to improve introductory physics for life science students

NASA Astrophysics Data System (ADS)

Crouch, Catherine H.; Heller, Kenneth

2014-05-01

We describe restructuring the introductory physics for life science students (IPLS) course to better support these students in using physics to understand their chosen fields. Our courses teach physics using biologically rich contexts. Specifically, we use examples in which fundamental physics contributes significantly to understanding a biological system to make explicit the value of physics to the life sciences. This requires selecting the course content to reflect the topics most relevant to biology while maintaining the fundamental disciplinary structure of physics. In addition to stressing the importance of the fundamental principles of physics, an important goal is developing students' quantitative and problem solving skills. Our guiding pedagogical framework is the cognitive apprenticeship model, in which learning occurs most effectively when students can articulate why what they are learning matters to them. In this article, we describe our courses, summarize initial assessment data, and identify needs for future research.

Investigating and improving introductory physics students’ understanding of symmetry and Gauss’s law

NASA Astrophysics Data System (ADS)

Li, Jing; Singh, Chandralekha

2018-01-01

We discuss an investigation of student difficulties with symmetry and Gauss’s law and how the research on students’ difficulties was used as a guide to develop a tutorial related to these topics to help students in the calculus-based introductory physics courses learn these concepts. During the development of the tutorial, we interviewed students individually at various stages of development and administered written tests in the free-response and multiple-choice formats on these concepts to learn about common student difficulties. We also obtained feedback from physics instructors who teach introductory physics courses regularly in which these concepts were covered. The students in several ‘equivalent’ sections worked on the tutorial after traditional lecture-based instruction. We discuss the performance of students on the written pre-test (administered after lecture-based instruction in relevant concepts) and post-test given after students worked on the tutorial. We find that on the pre-test, all sections of the course performed comparably regardless of the instructor. Also, on average, student performance on the post-test after working on the tutorial is significantly better than on the pre-test after lecture-based instruction. We also compare the post-test performance of introductory students in sections of the course in which the tutorial was used versus not used and find that sections in which students engaged with the tutorial outperformed those in which students did not engage with it.

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.

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.

Optimizing Introductory Physics for the Life Sciences: Placing Physics in Biological Context

NASA Astrophysics Data System (ADS)

Crouch, Catherine

2014-03-01

Physics is a critical foundation for today's life sciences and medicine. However, the physics content and ways of thinking identified by life scientists as most important for their fields are often not taught, or underemphasized, in traditional introductory physics courses. Furthermore, such courses rarely give students practice using physics to understand living systems in a substantial way. Consequently, students are unlikely to recognize the value of physics to their chosen fields, or to develop facility in applying physics to biological systems. At Swarthmore, as at several other institutions engaged in reforming this course, we have reorganized the introductory course for life science students around touchstone biological examples, in which fundamental physics contributes significantly to understanding biological phenomena or research techniques, in order to make explicit the value of physics to the life sciences. We have also focused on the physics topics and approaches most relevant to biology while seeking to develop rigorous qualitative reasoning and quantitative problem solving skills, using established pedagogical best practices. Each unit is motivated by and culminates with students analyzing one or more touchstone examples. For example, in the second semester we emphasize electric potential and potential difference more than electric field, and start from students' typically superficial understanding of the cell membrane potential and of electrical interactions in biochemistry to help them develop a more sophisticated understanding of electric forces, field, and potential, including in the salt water environment of life. Other second semester touchstones include optics of vision and microscopes, circuit models for neural signaling, and magnetotactic bacteria. When possible, we have adapted existing research-based curricular materials to support these examples. This talk will describe the design and development process for this course, give examples of

Active Engagement Strategies for Introductory Physics

NASA Astrophysics Data System (ADS)

Kolitch, Shawn

2001-05-01

Evidence suggests that traditional lectures result in only minimal gains in student understanding of fundamental concepts in introductory physics. However, alternative approaches developed by physics education researchers seem to be more effective. In this talk I will review some of the evidence for these claims, discuss several possible alternatives to the traditional model of instruction, and describe some of the logistics involved in the implementation of such alternatives at both a large public university and a small liberal arts college.

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…

"Reverse Engineering" in Introductory Physics Education

ERIC Educational Resources Information Center

Badraslioglu, Duruhan

2016-01-01

One of the intermediate goals of STEM education has been turning our students into problem solvers and critical thinkers who are equipped with better scientific analysis skills. In light of this initiative, it is imperative that we, the educators, modify the way we teach classic introductory physics topics, and in the long run all sciences, and…

Vision and change in introductory physics for the life sciences

NASA Astrophysics Data System (ADS)

Mochrie, S. G. J.

2016-07-01

Since 2010, our physics department has offered a re-imagined calculus-based introductory physics sequence for the life sciences. These courses include a selection of biologically and medically relevant topics that we believe are more meaningful to undergraduate premedical and biological science students than those found in a traditional course. In this paper, we highlight new aspects of the first-semester course, and present a comparison of student evaluations of this course versus a more traditional one. We also present the effect on student perception of the relevance of physics to biology and medicine after having taken this course.

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.

Teaching Sustainability in Introductory Physics

NASA Astrophysics Data System (ADS)

Coffey, David

Guiding students to a better understanding of sustainability is a key part of a modern undergraduate education. Since 2014, Warren Wilson College has incorporated a sustainability component into our introductory physics courses. Students perform energy audits and abatement plans for a business or building. In the process, students strengthen their competency with basic physics concepts including energy, power, units, and conservation of energy but also gain an appreciation of the complexity of sustainability as well as the need for quantitative understanding. These courses are taught to mostly undergraduate science majors. The challenges and opportunities of incorporating such a broad and personalized educational component will be discussed.

Barriers to Teaching Introductory Physical Geography Online

ERIC Educational Resources Information Center

Ritter, Michael E.

2012-01-01

Learning geography online is becoming an option for more students but not without controversy. Issues of faculty resources, logistics, professional recognition, and pedagogical concerns are cited as barriers to teaching online. Offering introductory physical geography online presents special challenges. As a general education course, an…

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.

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.

Student Selection of the Textbook for an Introductory Physics Course

ERIC Educational Resources Information Center

Dake, L. S.

2007-01-01

Several years ago I had to select a new textbook for my calculus-based introductory physics class. I subscribe to Just-in-Time Teaching methods,1 which require students to read the book before the material is covered in class. Thus, the readability of the text by the students is critical. However, I did not feel that I was the best judge of this…

The Pythagorean Roots of Introductory Physics

NASA Astrophysics Data System (ADS)

Clarage, James B.

2013-03-01

Much of the mathematical reasoning employed in the typical introductory physics course can be traced to Pythagorean roots planted over two thousand years ago. Besides obvious examples involving the Pythagorean theorem, I draw attention to standard physics problems and derivations which often unknowingly rely upon the Pythagoreans' work on proportion, music, geometry, harmony, the golden ratio, and cosmology. Examples are drawn from mechanics, electricity, sound, optics, energy conservation and relativity. An awareness of the primary sources of the mathematical techniques employed in the physics classroom could especially benefit students and educators at schools which encourage integration of their various courses in history, science, philosophy, and the arts.

Impacts of curricular change: Implications from 8 years of data in introductory physics

NASA Astrophysics Data System (ADS)

Pollock, Steven J.; Finkelstein, Noah

2013-01-01

Introductory calculus-based physics classes at the University of Colorado Boulder were significantly transformed beginning in 2004. They now regularly include: interactive engagement using clickers in large lecture settings, Tutorials in Introductory Physics with use of undergraduate Learning Assistants in recitation sections, and a staffed help-room setting where students work on personalized CAPA homework. We compile and summarize conceptual (FMCE and BEMA) pre- and post-data from over 9,000 unique students after 16 semesters of both Physics 1 and 2. Within a single institution with stable pre-test scores, we reproduce results of Hake's 1998 study that demonstrate the positive impacts of interactive engagement on student performance. We link the degree of faculty's use of interactive engagement techniques and their experience levels on student outcomes, and argue for the role of such systematic data collection in sustained course and institutional transformations.

Teaching introductory undergraduate physics using commercial video games

NASA Astrophysics Data System (ADS)

Mohanty, Soumya D.; Cantu, Sergio

2011-09-01

Commercial video games are increasingly using sophisticated physics simulations to create a more immersive experience for players. This also makes them a powerful tool for engaging students in learning physics. We provide some examples to show how commercial off-the-shelf games can be used to teach specific topics in introductory undergraduate physics. The examples are selected from a course taught predominantly through the medium of commercial video games.

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

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)

Contrasting grading approaches in introductory physics and quantum mechanics: The case of graduate teaching assistants

NASA Astrophysics Data System (ADS)

Marshman, Emily; Sayer, Ryan; Henderson, Charles; Singh, Chandralekha

2017-06-01

At large research universities, physics graduate teaching assistants (TAs) are often responsible for grading in courses at all levels. However, few studies have focused on TAs' grading practices in introductory and advanced physics courses. This study was designed to investigate whether physics graduate TAs grade students in introductory physics and quantum mechanics using different criteria and if so, why they may be inclined to do so. To investigate possible discrepancies in TAs' grading approaches in courses at different levels, we implemented a sequence of instructional activities in a TA professional development course that asked TAs to grade student solutions of introductory physics and upper-level quantum mechanics problems and explain why, if at all, their grading approaches were different or similar in the two contexts. We analyzed the differences in TAs' grading approaches in the two contexts and discuss the reasons they provided for the differences in their grading approaches in introductory physics and quantum mechanics in individual interviews, class discussions, and written responses. We find that a majority of the TAs graded solutions to quantum mechanics problems differently than solutions to introductory physics problems. In quantum mechanics, the TAs focused more on physics concepts and reasoning and penalized students for not showing evidence of understanding. The findings of the study have implications for TA professional development programs, e.g., the importance of helping TAs think about the difficulty of a problem from an introductory students' perspective and reflecting on the benefits of formative assessment.

Changes are Afoot in Physics Introductory Texts of Today

ERIC Educational Resources Information Center

Khoon, Koh Aik; Jalal, Azman; Daud, Abdul Razak; Abd-Shukor, Roslan; Samat, Supian; Talib, Ibrahim Abu; Othman, Mazlan; Yatim, Baharudin

2008-01-01

Among the many changes that have taken place in physics education in recent years is the fact that physics introductory texts have undergone some drastic changes in layout, content, approach and presentation. It is a total breath of fresh air compared with the drab physics texts of yesteryear. This paper takes a closer look on the changes that…

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)

Case of two electrostatics problems: Can providing a diagram adversely impact introductory physics students' problem solving performance?

NASA Astrophysics Data System (ADS)

Maries, Alexandru; Singh, Chandralekha

2018-06-01

Drawing appropriate diagrams is a useful problem solving heuristic that can transform a problem into a representation that is easier to exploit for solving it. One major focus while helping introductory physics students learn effective problem solving is to help them understand that drawing diagrams can facilitate problem solution. We conducted an investigation in which two different interventions were implemented during recitation quizzes in a large enrollment algebra-based introductory physics course. Students were either (i) asked to solve problems in which the diagrams were drawn for them or (ii) explicitly told to draw a diagram. A comparison group was not given any instruction regarding diagrams. We developed rubrics to score the problem solving performance of students in different intervention groups and investigated ten problems. We found that students who were provided diagrams never performed better and actually performed worse than the other students on three problems, one involving standing sound waves in a tube (discussed elsewhere) and two problems in electricity which we focus on here. These two problems were the only problems in electricity that involved considerations of initial and final conditions, which may partly account for why students provided with diagrams performed significantly worse than students who were not provided with diagrams. In order to explore potential reasons for this finding, we conducted interviews with students and found that some students provided with diagrams may have spent less time on the conceptual analysis and planning stage of the problem solving process. In particular, those provided with the diagram were more likely to jump into the implementation stage of problem solving early without fully analyzing and understanding the problem, which can increase the likelihood of mistakes in solutions.

Investigating and improving introductory physics students’ understanding of the electric field and superposition principle

NASA Astrophysics Data System (ADS)

Li, Jing; Singh, Chandralekha

2017-09-01

We discuss an investigation of the difficulties that students in a university introductory physics course have with the electric field and superposition principle and how that research was used as a guide in the development and evaluation of a research-validated tutorial on these topics to help students learn these concepts better. The tutorial uses a guided enquiry-based approach to learning and involved an iterative process of development and evaluation. During its development, we obtained feedback both from physics instructors who regularly teach introductory physics in which these concepts are taught and from students for whom the tutorial is intended. The iterative process continued and the feedback was incorporated in the later versions of the tutorial until the researchers were satisfied with the performance of a diverse group of introductory physics students on the post-test after they worked on the tutorial in an individual one-on-one interview situation. Then the final version of the tutorial was administered in several sections of the university physics course after traditional instruction in relevant concepts. We discuss the performance of students in individual interviews and on the pre-test administered before the tutorial (but after traditional lecture-based instruction) and on the post-test administered after the tutorial. We also compare student performance in sections of the class in which students worked on the tutorial with other similar sections of the class in which students only learned via traditional instruction. We find that students performed significantly better in the sections of the class in which the tutorial was used compared to when students learned the material via only lecture-based instruction.

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…

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.

Gender Differences in Introductory University Physics Performance: The Influence of High School Physics Preparation and Affect

NASA Astrophysics Data System (ADS)

Hazari, Zahra

2006-12-01

The attrition of females studying physics after high school has been a continuing concern for the physics education community. If females are well prepared, feel confident, and do well in introductory college physics, they may be inclined to study physics further. This quantitative study uses HLM to identify factors from high school physics preparation (content, pedagogy, and assessment) and the affective domain that predict female and male performance in introductory college physics. The study includes controls for student demographic and academic background characteristics, and the final dataset consists of 1973 surveys from 54 introductory college physics classes. The results highlight high school physics and affective experiences that differentially predict female and male performance. These experiences include: learning requirements, computer graphing/analysis, long written problems, everyday world examples, community projects cumulative tests/quizzes, father's encouragement, family's belief that science leads to a better career, and the length of time students believe that high school physics would help in university physics. There were also experiences that similarly predict female and male performance. The results paint a dynamic picture of the factors from high school physics and the affective domain that influence the future physics performance of females and males. The implication is that there are many aspects to the teaching of physics in high school that, although widely used and thought to be effective, need reform in their implementation in order to be fully beneficial to females and/or males in college.

Contrasting Grading Approaches in Introductory Physics and Quantum Mechanics: The Case of Graduate Teaching Assistants

ERIC Educational Resources Information Center

Marshman, Emily; Sayer, Ryan; Henderson, Charles; Singh, Chandralekha

2017-01-01

At large research universities, physics graduate teaching assistants (TAs) are often responsible for grading in courses at all levels. However, few studies have focused on TAs' grading practices in introductory and advanced physics courses. This study was designed to investigate whether physics graduate TAs grade students in introductory physics…

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)

Using Categorization of Problems as an Instructional Tool to Help Introductory Students Learn Physics

ERIC Educational Resources Information Center

Mason, Andrew; Singh, Chandralekha

2016-01-01

The ability to categorize problems based upon underlying principles, rather than contexts, is considered a hallmark of expertise in physics problem solving. With inspiration from a classic study by Chi, Feltovich, and Glaser, we compared the categorization of 25 introductory mechanics problems based upon similarity of solution by students in large…

Physics instructors are not blank slates either: An exploratory study of introductory physics instruction

NASA Astrophysics Data System (ADS)

Mitchell, Willyetta Adele

2009-11-01

The purpose of the study was to investigate the views of the nature of science and the classroom practices of instructors who teach introductory physics at a research intensive university. A study of this nature is necessary because calls to change how science is taught have been made since the 1800's, yet the methods of instruction have remained virtually unchanged. The conflict between how science is taught and how students learn science can be remedied by effective professional development at the university. However, training on the change process is virtually nonexistent in teacher education programs and in teacher professional development workshops at all levels. The Views About Science Survey (VASS) was first administered to a sample of twenty-nine physics instructors and graduate assistants who have taught introductory physics courses within the last five years. To assess instructional practices in introductory physics at a research extensive university, a purposeful, stratified sample of 56 classes was observed. The interactions between the students and teachers were analyzed using the Flanders Interaction Analysis. The findings suggest that the physics instructors hold a mixed view of the nature of science. The instructors' views do not necessarily indicate how they teach physics. The results also showed that the professors reported that they use elements of effective teaching practices throughout their instruction. The results of the classroom observations revealed that non interactive lecture is the dominate instructional method used. The Flander's confirms that the majority of the class time is spent with the teacher talking and the student passively listening.

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.

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.

Integrating writing research with curricular development in large-enrollment introductory physics

NASA Astrophysics Data System (ADS)

Demaree, Dedra

2008-05-01

Multiple research projects have been undertaken as part of an ongoing study to develop methods to do quantitative assessment of writing to learn within physics. The ability to make use of writing to learn at first glance appears limited in large-enrollment courses due to the time-intensive nature of essay writing and grading. However, effective ways to implement writing are quite possible. One study that will be discussed required students to do textbook summary writing in introductory physics in the 2007 spring semester of the ``Foundation Physics Course'' at the University of Cape Town. This course is a component of the special access program which contains mostly second language English speakers. Another use of writing will be reported that is currently being used in the introductory physics course at Oregon State University as a way to enhance problem solving. This project is also aimed at scaffolding students toward goals in our upper division courses. This talk will report on some of what we know about writing to learn, how we are working to improve ways to study it quantitatively, and how we are incorporating some aspects of it in accessible ways in large-enrollment introductory courses.

Introductory Minicourse, Career Oriented Pre-Technical Physics. Preliminary Edition.

ERIC Educational Resources Information Center

Bullock, Bob; And Others

This minicourse was prepared for use with secondary physics students in the Dallas Independent School District. This is an introductory minicourse aimed at acquainting the student with the realm of physics so that the student can pursue further study by selecting those minicourses most relevant to his career needs and interests. The minicourse was…

Situated Self-efficacy in Introductory Physics Students

NASA Astrophysics Data System (ADS)

Henderson, Rachel; DeVore, Seth; Michaluk, Lynnette; Stewart, John

2017-01-01

Within the general university environment, students' perceived self-efficacy has been widely studied and findings suggest it plays a role in student success. The current research adapted a self-efficacy survey, from the ``Self-Efficacy for Learning Performance'' subscale of the Motivated Learning Strategies Questionnaire and administered it to the introductory, calculus-based physics classes (N=1005) over the fall 2015 and spring 2016 semesters. This assessment measured students' self-efficacy in domains including the physics class, other science and mathematics classes, and their intended future career. The effect of gender was explored with the only significant gender difference (p < . 001) existing within the physics domain. A hierarchical linear regression analysis indicated that this gender difference was not explained by a student's performance which was measured by test average. However, a mediation analysis showed that students' overall academic self-efficacy, measured by their math and science self-efficacy, acts as a mediator for the effect of test average on self-efficacy towards the physics class domain. This mediation effect was significant for both female (p < . 01) and male students (p < . 001) however, it was more pronounced for male students.

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

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…

Autonomy and the Student Experience in Introductory Physics

ERIC Educational Resources Information Center

Hall, Nicholas Ron

2013-01-01

The role of autonomy in the student experience in a large-enrollment undergraduate introductory physics course was studied from a Self-Determination Theory perspective with two studies. Study I, a correlational study, investigated whether certain aspects of the student experience correlated with how autonomy supportive (vs. controlling) students…

Improving Student Learning and Views of Physics in a Large Enrollment Introductory Physics Class

ERIC Educational Resources Information Center

Shan, Kathy J.

2013-01-01

Introductory physics courses often serve as gatekeepers for many scientific and engineering programs and, increasingly, colleges are relying on large, lecture formats for these courses. Many students, however, leave having learned very little physics and with poor views of the subject. In interactive engagement (IE), classroom activities encourage…

Mediating Relationship of Differential Products in Understanding Integration in Introductory Physics

ERIC Educational Resources Information Center

Amos, Nathaniel; Heckler, Andrew F.

2018-01-01

In the context of introductory physics, we study student conceptual understanding of differentials, differential products, and integrals and possible pathways to understanding these quantities. We developed a multiple choice conceptual assessment employing a variety of physical contexts probing physical understanding of these three quantities and…

Success in Introductory College Physics: The Role of High School Preparation.

ERIC Educational Resources Information Center

Sadler, Philip M.; Tai, Robert H.

2001-01-01

Examines the extent to which a high school physics course prepares students for college physics success. In this study of 1,933 introductory college physics students, demographic and schooling factors account for a large fraction of the variation in college physics grades at 18 colleges and universities from around the nation. (Author/SAH)

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.

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

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…

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.

Development and evaluation of clicker methodology for introductory physics courses

NASA Astrophysics Data System (ADS)

Lee, Albert H.

Many educators understand that lectures are cost effective but not learning efficient, so continue to search for ways to increase active student participation in this traditionally passive learning environment. In-class polling systems, or "clickers", are inexpensive and reliable tools allowing students to actively participate in lectures by answering multiple-choice questions. Students assess their learning in real time by observing instant polling summaries displayed in front of them. This in turn motivates additional discussions which increase the opportunity for active learning. We wanted to develop a comprehensive clicker methodology that creates an active lecture environment for a broad spectrum of students taking introductory physics courses. We wanted our methodology to incorporate many findings of contemporary learning science. It is recognized that learning requires active construction; students need to be actively involved in their own learning process. Learning also depends on preexisting knowledge; students construct new knowledge and understandings based on what they already know and believe. Learning is context dependent; students who have learned to apply a concept in one context may not be able to recognize and apply the same concept in a different context, even when both contexts are considered to be isomorphic by experts. On this basis, we developed question sequences, each involving the same concept but having different contexts. Answer choices are designed to address students preexisting knowledge. These sequences are used with the clickers to promote active discussions and multiple assessments. We have created, validated, and evaluated sequences sufficient in number to populate all of introductory physics courses. Our research has found that using clickers with our question sequences significantly improved student conceptual understanding. Our research has also found how to best measure student conceptual gain using research-based instruments

Implementing and Assessing Computational Modeling in Introductory Mechanics

ERIC Educational Resources Information Center

Caballero, Marcos D.; Kohlmyer, Matthew A.; Schatz, Michael F.

2012-01-01

Students taking introductory physics are rarely exposed to computational modeling. In a one-semester large lecture introductory calculus-based mechanics course at Georgia Tech, students learned to solve physics problems using the VPython programming environment. During the term, 1357 students in this course solved a suite of 14 computational…

Re-Envisioning the Introductory Physics Sequence at Georgia Gwinnett College (GGC)

NASA Astrophysics Data System (ADS)

Thompson, Scott J.; Sales, Kenneth B.

2013-03-01

GGC is a new, 4-year, open-access institution located in the northeast of Atlanta. As an open access college, many of the students who take the introductory physics sequence do not have a strong mathematical background. A large percentage of the students have significant work or family obligations in addition to being full-time students. To better serve these students, the first semester of the trig-based introductory physics sequence was modified in a manner that focuses and structures the material to be completed by the students both outside and inside of class such that the time spent outside of class can be reduced. Specifically, focused notes were provided to the students with an online assignment prior to class in place of reading from a textbook. Class time was then focused on a deeper understanding of the concepts to be covered instead of an initial (or secondary) introduction to the material. Data was collected for specific exam questions and compared with the results from previous classes taught by the same instructors. An overview of the results and observations of the instructors using this method will be discussed.

Relationships between Undergraduates' Argumentation Skills, Conceptual Quality of Problem Solutions, and Problem Solving Strategies in Introductory Physics

ERIC Educational Resources Information Center

Rebello, Carina M.

2012-01-01

This study explored the effects of alternative forms of argumentation on undergraduates' physics solutions in introductory calculus-based physics. A two-phase concurrent mixed methods design was employed to investigate relationships between undergraduates' written argumentation abilities, conceptual quality of problem solutions, as well…

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…

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.

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…

Peer Learning as a Tool to Strengthen Math Skills in Introductory Chemistry Laboratories

ERIC Educational Resources Information Center

Srougi, Melissa C.; Miller, Heather B.

2018-01-01

Math skills vary greatly among students enrolled in introductory chemistry courses. Students with weak math skills (algebra and below) tend to perform poorly in introductory chemistry courses, which is correlated with increased attrition rates. Previous research has shown that retention of main ideas in a peer learning environment is greater when…

Gender, experience, and self-efficacy in introductory physics

NASA Astrophysics Data System (ADS)

Nissen, Jayson M.; Shemwell, Jonathan T.

2016-12-01

[This paper is part of the Focused Collection on Gender in Physics.] There is growing evidence of persistent gender achievement gaps in university physics instruction, not only for learning physics content, but also for developing productive attitudes and beliefs about learning physics. These gaps occur in both traditional and interactive-engagement (IE) styles of physics instruction. We investigated one gender gap in the area of attitudes and beliefs. This was men's and women's physics self-efficacy, which comprises students' thoughts and feelings about their capabilities to succeed as learners in physics. According to extant research using pre- and post-course surveys, the self-efficacy of both men and women tends to be reduced after taking traditional and IE physics courses. Moreover, self-efficacy is reduced further for women than for men. However, it remains unclear from these studies whether this gender difference is caused by physics instruction. It may be, for instance, that the greater reduction of women's self-efficacy in physics merely reflects a broader trend in university education that has little to do with physics per se. We investigated this and other alternative causes, using an in-the-moment measurement technique called the Experience Sampling Method (ESM). We used ESM to collect multiple samples of university students' feelings of self-efficacy during four types of activity for two one-week periods: (i) an introductory IE physics course, (ii) students' other introductory STEM courses, (iii) their non-STEM courses, and (iv) their activities outside of school. We found that women experienced the IE physics course with lower self-efficacy than men, but for the other three activity types, women's self-efficacy was not reliably different from men's. We therefore concluded that the experience of physics instruction in the IE physics course depressed women's self-efficacy. Using complementary measures showing the IE physics course to be similar to

Experts Question California's Algebra Edict

ERIC Educational Resources Information Center

Cavanagh, Sean

2008-01-01

Business leaders from important sectors of the American economy have been urging schools to set higher standards in math and science--and California officials, in mandating that 8th graders be tested in introductory algebra, have responded with one of the highest such standards in the land. Still, many California educators and school…

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…

Exploring the Relationship between Self-Efficacy and Retention in Introductory Physics

ERIC Educational Resources Information Center

Sawtelle, Vashti; Brewe, Eric; Kramer, Laird H.

2012-01-01

The quantitative results of Sources of Self-Efficacy in Science Courses-Physics (SOSESC-P) are presented as a logistic regression predicting the passing of students in introductory Physics with Calculus I, overall as well as disaggregated by gender. Self-efficacy as a theory to explain human behavior change [Bandura [1977] "Psychological…

Understanding Introductory Students' Application of Integrals in Physics from Multiple Perspectives

ERIC Educational Resources Information Center

Hu, Dehui

2013-01-01

Calculus is used across many physics topics from introductory to upper-division level college courses. The concepts of differentiation and integration are important tools for solving real world problems. Using calculus or any mathematical tool in physics is much more complex than the straightforward application of the equations and algorithms that…

An Introductory Calculus-Based Mechanics Investigation

ERIC Educational Resources Information Center

Allen, Bradley

2017-01-01

One challenge for the introductory physics teacher is incorporating calculus techniques into the laboratory setting. It can be difficult to strike a balance between presenting an experimental task for which calculus is essential and making the mathematics accessible to learners who may be apprehensive about applying it. One-dimensional kinematics…

Investigating and improving introductory physics students’ understanding of electric flux

NASA Astrophysics Data System (ADS)

Li, Jing; Singh, Chandralekha

2018-07-01

A solid grasp of the concept of electric flux is an important pre-requisite for appropriate use of Gauss’s law in solving electrostatics problems. As part of a broader investigation focusing on improving understanding of electrostatics concepts, we investigated the conceptual difficulties of college students in a traditionally taught calculus-based introductory physics course with the concept of electric flux and then the research on student difficulties was used as a guide in the development and evaluation of a research-validated tutorial which strives to help students learn this concept better. During the investigation of difficulties and the design and validation of the guided inquiry-based tutorial, college students in a calculus-based introductory physics course were given written questions to probe the common conceptual difficulties with the electric flux related concepts, and we also interviewed a subset of those students to get an in-depth account of the reasons behind the conceptual difficulties. The guided inquiry-based learning sequences in the tutorial were also iterated several times with instructors who regularly teach these courses. Here we discuss the common student difficulties with the electric flux found in our investigations, and the development and validation of a tutorial that strives to improve student understanding. We analyse how students performed on the pre-test (administered before the electric flux tutorial but after traditional instruction in the electric flux concepts) and on the post-test (administered after students in the tutorial group had engaged with the electric flux related tutorial). The performance of students in all sections of the course was comparable on the pre-test regardless of who taught that section. However, on the post-test, the performance of those in the sections of the course in which students engaged with the tutorial is significantly better that the section in which the tutorial was not used.

Interactive Lecture Experiments in Large Introductory Physics Classes

NASA Astrophysics Data System (ADS)

Milner-Bolotin, Marina M.; Kotlicki, A.; Rieger, G.; Bates, F.; Moll, R.; McPhee, K.; Nashon, S.

2006-12-01

We describe Interactive Lecture Experiments (ILE), which build on Interactive Lecture Demonstrations proposed by Sokoloff and Thornton (2004) and extends it by providing students with the opportunity to analyze experiments demonstrated in the lecture outside of the classroom. Real time experimental data is collected, using Logger Pro combined with the digital video technology. This data is uploaded to the Internet and made available to the students for further analysis. Student learning is assessed in the following lecture using conceptual questions (clickers). The goal of this project is to use ILE to make large lectures more interactive and promote student interest in science, critical thinking and data analysis skills. We report on the systematic study conducted using the Colorado Learning Attitudes about Science Survey, Force Concept Inventory, open-ended physics problems and focus group interviews to determine the impact of ILE on student academic achievement, motivation and attitudes towards physics. Three sections of students (750 students) experienced four ILE experiments. The surveys were administered twice and academic results for students who experienced the ILE for a particular topic were compared to the students, from a different section, who did not complete the ILE for that topic. Additional qualitative data on students’ attitudes was collected using open ended survey questions and interviews. We will present preliminary conclusions about the role of ILEs as an effective pedagogy in large introductory physics courses. Sokoloff, D.R. and R.K. Thornton (2004). Interactive Lecture Demonstrations: Active Learning in Introductory Physics, J.Wiley & Sons, INC. Interactive Lecture Experiments: http://www.physics.ubc.ca/ year1lab/p100/LectureLabs/lectureLabs.html

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…

Relationships between undergraduates' argumentation skills, conceptual quality of problem solutions, and problem solving strategies in introductory physics

NASA Astrophysics Data System (ADS)

Rebello, Carina M.

This study explored the effects of alternative forms of argumentation on undergraduates' physics solutions in introductory calculus-based physics. A two-phase concurrent mixed methods design was employed to investigate relationships between undergraduates' written argumentation abilities, conceptual quality of problem solutions, as well as approaches and strategies for solving argumentative physics problems across multiple physics topics. Participants were assigned via stratified sampling to one of three conditions (control, guided construct, or guided evaluate) based on gender and pre-test scores on a conceptual instrument. The guided construct and guided evaluate groups received tasks and prompts drawn from literature to facilitate argument construction or evaluation. Using a multiple case study design, with each condition serving as a case, interviews were conducted consisting of a think-aloud problem solving session paired with a semi-structured interview. The analysis of problem solving strategies was guided by the theoretical framework on epistemic games adapted by Tuminaro and Redish (2007). This study provides empirical evidence that integration of written argumentation into physics problems can potentially improve the conceptual quality of solutions, expand their repertoire of problem solving strategies and show promise for addressing the gender gap in physics. The study suggests further avenues for research in this area and implications for designing and implementing argumentation tasks in introductory college physics.

A Taxonomy of Introductory Physics Concepts.

NASA Astrophysics Data System (ADS)

Mokaya, Fridah; Savkar, Amit; Valente, Diego

We have designed and implemented a hierarchical taxonomic classification of physics concepts for our introductory physics for engineers course sequence taught at the University of Connecticut. This classification can be used to provide a mechanism to measure student progress in learning at the level of individual concepts or clusters of concepts, and also as part of a tool to measure effectiveness of teaching pedagogy. We examine our pre- and post-test FCI results broken down by topics using Hestenes et al.'s taxonomy classification for the FCI, and compare these results with those found using our own taxonomy classification. In addition, we expand this taxonomic classification to measure performance in our other course exams, investigating possible correlations in results achieved across different assessments at the individual topic level. UCONN CLAS(College of Liberal Arts and Science).

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…

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,…

Uncertainty Calculations in the First Introductory Physics Laboratory

NASA Astrophysics Data System (ADS)

Rahman, Shafiqur

2005-03-01

Uncertainty in a measured quantity is an integral part of reporting any experimental data. Consequently, Introductory Physics laboratories at many institutions require that students report the values of the quantities being measured as well as their uncertainties. Unfortunately, given that there are three main ways of calculating uncertainty, each suitable for particular situations (which is usually not explained in the lab manual), this is also an area that students feel highly confused about. It frequently generates large number of complaints in the end-of-the semester course evaluations. Students at some institutions are not asked to calculate uncertainty at all, which gives them a fall sense of the nature of experimental data. Taking advantage of the increased sophistication in the use of computers and spreadsheets that students are coming to college with, we have completely restructured our first Introductory Physics Lab to address this problem. Always in the context of a typical lab, we now systematically and sequentially introduce the various ways of calculating uncertainty including a theoretical understanding as opposed to a cookbook approach, all within the context of six three-hour labs. Complaints about the lab in student evaluations have dropped by 80%. * supported by a grant from A. V. Davis Foundation

Equity investigation of attitudinal shifts in introductory physics

NASA Astrophysics Data System (ADS)

Traxler, Adrienne; Brewe, Eric

2015-12-01

We report on seven years of attitudinal data using the Colorado Learning Attitudes about Science Survey from University Modeling Instruction (UMI) sections of introductory physics at Florida International University. University Modeling Instruction is a curricular and pedagogical transformation of introductory university physics that engages students in building and testing conceptual models in an integrated lab and lecture learning environment. This work expands upon previous studies that reported consistently positive attitude shifts in UMI courses; here, we disaggregate the data by gender and ethnicity to look for any disparities in the pattern of favorable shifts. We find that women and students from statistically underrepresented ethnic groups have gains that are comparable to those of men and students from well-represented ethnic groups on this attitudinal measure, and that this result holds even when interaction effects of gender and ethnicity are included. We conclude with suggestions for future work in UMI courses and for attitudinal equity investigations generally. We encourage researchers to expand their scope beyond simple performance gaps when considering equity concerns, and to avoid relying on a single measure to evaluate student success. Finally, we conjecture that students' social and academic networks are one means by which attitudinal and efficacy beliefs about the course are propagated.

Enhancing Direct Instruction on Introductory Physics for Supporting Students' Mental-Modeling Ability

ERIC Educational Resources Information Center

Mansyur, Jusman; Darsikin

2016-01-01

This paper describes an instructional design for introductory physics that integrates previous research results of physics problem-solving and the use of external representation into direct instruction (DI). The research is a part of research in obtaining an established instructional design to support mental-modeling ability. By integrating with…

Introductory Physics Experiments Using the Wiimote

NASA Astrophysics Data System (ADS)

Somers, William; Rooney, Frank; Ochoa, Romulo

2009-03-01

The Wii, a video game console, is a very popular device with millions of units sold worldwide over the past two years. Although computationally it is not a powerful machine, to a physics educator its most important components can be its controllers. The Wiimote (or remote) controller contains three accelerometers, an infrared detector, and Bluetooth connectivity at a relatively low price. Thanks to available open source code, any PC with Bluetooth capability can detect the information sent out by the Wiimote. We have designed several experiments for introductory physics courses that make use of the accelerometers and Bluetooth connectivity. We have adapted the Wiimote to measure the: variable acceleration in simple harmonic motion, centripetal and tangential accelerations in circular motion, and the accelerations generated when students lift weights. We present the results of our experiments and compare them with those obtained when using motion and/or force sensors.

Determining Which Introductory Physics Topics Pre-Service Physics Teachers Have Difficulty Understanding and What Accounts for These Difficulties

ERIC Educational Resources Information Center

Sahin, Esin; Yagbasan, Rahmi

2012-01-01

This study aims at diagnosing which subjects pre-service physics teachers have difficulty understanding in introductory physics courses and what accounts for these difficulties. A questionnaire consisting of two qualitative questions was used to collect data for this study. The questionnaire was administered to 101 pre-service physics teachers who…

Effectiveness of "Tutorials for Introductory Physics" in Argentinean High Schools

ERIC Educational Resources Information Center

Benegas J.; Flores, J. Sirur

2014-01-01

This longitudinal study reports the results of a replication of "Tutorials in Introductory Physics" in high schools of a Latin-American country. The main objective of this study was to examine the suitability of "Tutorials" for local science education reform. Conceptual learning of simple resistive electric circuits was…

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…

Improving the Laboratory Experience for Introductory Geology Students Using Active Learning and Evidence-Based Reform

NASA Astrophysics Data System (ADS)

Oien, R. P.; Anders, A. M.; Long, A.

2014-12-01

We present the initial results of transitioning laboratory activities in an introductory physical geology course from passive to active learning. Educational research demonstrates that student-driven investigations promote increased engagement and better retention of material. Surveys of students in introductory physical geology helped us identify lab activities which do not engage students. We designed new lab activities to be more collaborative, open-ended and "hands-on". Student feedback was most negative for lab activities which are computer-based. In response, we have removed computers from the lab space and increased the length and number of activities involving physical manipulation of samples and models. These changes required investment in lab equipment and supplies. New lab activities also include student-driven exploration of data with open-ended responses. Student-evaluations of the new lab activities will be compiled during Fall 2014 and Spring 2015 to allow us to measure the impact of the changes on student satisfaction and we will report on our findings to date. Modification of this course has been sponsored by NSF's Widening Implementation & Demonstration of Evidence Based Reforms (WIDER) program through grant #1347722 to the University of Illinois. The overall goal of the grant is to increase retention and satisfaction of STEM students in introductory courses.

Student Selection of the Textbook for an Introductory Physics Course

NASA Astrophysics Data System (ADS)

Dake, L. S.

2007-10-01

Several years ago I had to select a new textbook for my calculus-based introductory physics class. I subscribe to Just-in-Time Teaching methods, which require students to read the book before the material is covered in class. Thus, the readability of the text by the students is critical. However, I did not feel that I was the best judge of this factor, so I turned the textbook selection into a class project. The students unanimously chose one textbook, which I have now successfully used for three years. The project was decidedly worthwhile, and I gained considerable insight into what students prefer in a textbook.

Challenge of engaging all students via self-paced interactive electronic learning tutorials for introductory physics

NASA Astrophysics Data System (ADS)

DeVore, Seth; Marshman, Emily; Singh, Chandralekha

2017-06-01

As research-based, self-paced electronic learning tools become increasingly available, a critical issue educators encounter is implementing strategies to ensure that all students engage with them as intended. Here, we first discuss the effectiveness of electronic learning tutorials as self-paced learning tools in large enrollment brick and mortar introductory physics courses and then propose a framework for helping students engage effectively with the learning tools. The tutorials were developed via research in physics education and were found to be effective for a diverse group of introductory physics students in one-on-one implementation. Instructors encouraged the use of these tools in a self-paced learning environment by telling students that they would be helpful for solving the assigned homework problems and that the underlying physics principles in the tutorial problems would be similar to those in the in-class quizzes (which we call paired problems). We find that many students in the courses in which these interactive electronic learning tutorials were assigned as a self-study tool performed poorly on the paired problems. In contrast, a majority of student volunteers in one-on-one implementation greatly benefited from the tutorials and performed well on the paired problems. The significantly lower overall performance on paired problems administered as an in-class quiz compared to the performance of student volunteers who used the research-based tutorials in one-on-one implementation suggests that many students enrolled in introductory physics courses did not effectively engage with the tutorials outside of class and may have only used them superficially. The findings suggest that many students in need of out-of-class remediation via self-paced learning tools may have difficulty motivating themselves and may lack the self-regulation and time-management skills to engage effectively with tools specially designed to help them learn at their own pace. We

Computer-Tailored Student Support in Introductory Physics.

PubMed

Huberth, Madeline; Chen, Patricia; Tritz, Jared; McKay, Timothy A

2015-01-01

Large introductory courses are at a disadvantage in providing personalized guidance and advice for students during the semester. We introduce E2Coach (an Expert Electronic Coaching system), which allows instructors to personalize their communication with thousands of students. We describe the E2Coach system, the nature of the personalized support it provides, and the features of the students who did (and did not) opt-in to using it during the first three terms of its use in four introductory physics courses at the University of Michigan. Defining a 'better-than-expected' measure of performance, we compare outcomes for students who used E2Coach to those who did not. We found that moderate and high E2Coach usage was associated with improved performance. This performance boost was prominent among high users, who improved by 0.18 letter grades on average when compared to nonusers with similar incoming GPAs. This improvement in performance was comparable across both genders. E2Coach represents one way to use technology to personalize education at scale, contributing to the move towards individualized learning that is becoming more attainable in the 21st century.

Computer-Tailored Student Support in Introductory Physics

PubMed Central

Huberth, Madeline; Chen, Patricia; Tritz, Jared; McKay, Timothy A.

2015-01-01

Large introductory courses are at a disadvantage in providing personalized guidance and advice for students during the semester. We introduce E2Coach (an Expert Electronic Coaching system), which allows instructors to personalize their communication with thousands of students. We describe the E2Coach system, the nature of the personalized support it provides, and the features of the students who did (and did not) opt-in to using it during the first three terms of its use in four introductory physics courses at the University of Michigan. Defining a ‘better-than-expected’ measure of performance, we compare outcomes for students who used E2Coach to those who did not. We found that moderate and high E2Coach usage was associated with improved performance. This performance boost was prominent among high users, who improved by 0.18 letter grades on average when compared to nonusers with similar incoming GPAs. This improvement in performance was comparable across both genders. E2Coach represents one way to use technology to personalize education at scale, contributing to the move towards individualized learning that is becoming more attainable in the 21st century. PMID:26352403

Assessing students' ability to solve introductory physics problems using integrals in symbolic and graphical representations

NASA Astrophysics Data System (ADS)

Khan, Neelam; Hu, Dehui; Nguyen, Dong-Hai; Rebello, N. Sanjay

2012-02-01

Integration is widely used in physics in electricity and magnetism (E&M), as well as in mechanics, to calculate physical quantities from other non-constant quantities. We designed a survey to assess students' ability to apply integration to physics problems in introductory physics. Each student was given a set of eight problems, and each set of problems had two different versions; one consisted of symbolic problems and the other graphical problems. The purpose of this study was to investigate students' strategies for solving physics problems that use integrals in first and second-semester calculus-based physics. Our results indicate that most students had difficulty even recognizing that an integral is needed to solve the problem.

Personality Types and Student Performance in an Introductory Physics Course

ERIC Educational Resources Information Center

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

2017-01-01

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…

Curricular Adaptations in Introductory Physics Labs

NASA Astrophysics Data System (ADS)

Dreyfus, Benjamin W.; Ewell, Mary; Moore, Kimberly

2017-01-01

When curricular materials are disseminated to new sites, there can be a tension between fidelity to the original intent of the developers and adaptation to local needs. In this case study we look at a lab activity that was initially developed for an introductory physics for the life sciences (IPLS) course at the University of Maryland, then implemented at George Mason University with significant adaptations. The goals of the two implementations were overlapping, but also differed in ways that are reflected in the two versions of the lab. We compare student lab report data from the two sites to examine the impacts of the adaptation on how students engaged with the lab.

Secondary analysis of teaching methods in introductory physics: A 50 k-student study

NASA Astrophysics Data System (ADS)

Von Korff, Joshua; Archibeque, Benjamin; Gomez, K. Alison; Heckendorf, Tyrel; McKagan, Sarah B.; Sayre, Eleanor C.; Schenk, Edward W.; Shepherd, Chase; Sorell, Lane

2016-12-01

Physics education researchers have developed many evidence-based instructional strategies to enhance conceptual learning of students in introductory physics courses. These strategies have historically been tested using assessments such as the Force Concept Inventory (FCI) and the Force and Motion Conceptual Evaluation (FMCE). We have performed a review and analysis of FCI and FMCE data published between 1995 and 2014. We confirm previous findings that interactive engagement teaching techniques are significantly more likely to produce high student learning gains than traditional lecture-based instruction. We also establish that interactive engagement instruction works in many settings, including those with students having a high and low level of prior knowledge, at liberal arts and research universities, and enrolled in both small and large classes.

Does interactive instruction in introductory physics impact long-term outcomes for students?

NASA Astrophysics Data System (ADS)

Gordon, Vernita

Early college classroom experiences contribute greatly to students leaving STEM majors. Peer instruction is a research-based pedagogy in which students, in small groups in the classroom, discuss concepts and work short problems. A single study at Harvard found that taking peer-instruction introductory physics also increases persistence in science majors. To what degree, if at all, peer instruction helps retention and performance for STEM majors at large public institutions (like University of Texas, Austin) is not known. Here I describe the results of a retrospective pilot study comparing outcomes for students who took different sections of the same calculus-based introductory mechanics course in Fall 2012 and Fall 2014. Compared with traditional lecture sections, peer-instruction sections had a 50% lower drop rate, a 40% / 55% higher rate of enrollment in the 2nd/ 3rd courses in the sequence, and, for the Fall 2012 cohort, a 74% / 165% higher rate of graduating from UT Austin / the UT Austin College of Natural Sciences by Fall 2015. I will discuss weaknesses of this retrospective pilot study and present plans for an intentionally-designed study to be implemented beginning Fall 2017.

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…

Assessment of Student Learning in Modern Experiments in the Introductory Calculus-Based Physics Labs

NASA Astrophysics Data System (ADS)

Woodahl, Brian; Ross, John; Lang, Sarah; Scott, Derek; Williams, Jeremy

2010-10-01

With the advent of newer microelectronic sensors it's now possible to modernize introductory physics labs with the latest technology and this may allow for enhanced student participation/learning in the experiments. For example, force plate sensors can digitize and record the force on an object, later it can be analyzed in detail (i.e, impulse from force vs. time). Small 3-axis accelerometers can record 3-dim, time-dependent acceleration of objects undergoing complex motions. These devices are small, fairly easy to use, and importantly, are likely to enhance student learning by ``personalizing'' data collection, i.e. making the student an active part of the measurement process and no longer a passive observer. To assess whether these new high-tech labs enhance student learning, we have implemented pre- and post- test sessions to measure the effectiveness of student learning. Four of our calculus-based lab sections were used: Two sections the control group, using the previous ``old technology'' labs, the other two, the experimental group, using the new ``modern technology'' labs. Initial returns of assessment data offer some surprising insight.

From Random Walks to Brownian Motion, from Diffusion to Entropy: Statistical Principles in Introductory Physics

NASA Astrophysics Data System (ADS)

Reeves, Mark

2014-03-01

Entropy changes underlie the physics that dominates biological interactions. Indeed, introductory biology courses often begin with an exploration of the qualities of water that are important to living systems. However, one idea that is not explicitly addressed in most introductory physics or biology textbooks is dominant contribution of the entropy in driving important biological processes towards equilibrium. From diffusion to cell-membrane formation, to electrostatic binding in protein folding, to the functioning of nerve cells, entropic effects often act to counterbalance deterministic forces such as electrostatic attraction and in so doing, allow for effective molecular signaling. A small group of biology, biophysics and computer science faculty have worked together for the past five years to develop curricular modules (based on SCALEUP pedagogy) that enable students to create models of stochastic and deterministic processes. Our students are first-year engineering and science students in the calculus-based physics course and they are not expected to know biology beyond the high-school level. In our class, they learn to reduce seemingly complex biological processes and structures to be described by tractable models that include deterministic processes and simple probabilistic inference. The students test these models in simulations and in laboratory experiments that are biologically relevant. The students are challenged to bridge the gap between statistical parameterization of their data (mean and standard deviation) and simple model-building by inference. This allows the students to quantitatively describe realistic cellular processes such as diffusion, ionic transport, and ligand-receptor binding. Moreover, the students confront ``random'' forces and traditional forces in problems, simulations, and in laboratory exploration throughout the year-long course as they move from traditional kinematics through thermodynamics to electrostatic interactions. This talk

Reasoning, Attitudes, and Learning: What matters in Introductory Physics?

NASA Astrophysics Data System (ADS)

Bateman, Melissa; Pyper, Brian

2009-05-01

Recent research has been revealing a connection between epistemological beliefs, reasoning ability and conceptual understanding. Our project has been taking data collected from the Fall `08 and Winter `09 semesters to supplement existing data in strengthening the statistical value of our sample size. We administered four tests to selected introductory physics courses: the Epistemological Beliefs Assessment for Physical Science, the Lawson Classroom Test of Scientific Reasoning, The Force Concept Inventory, and the Conceptual Survey in Electricity and Magnetism. With these data we have been comparing test results to demographics to answer questions such as: Does gender affect how we learn physics? Does past physics experience affect how we learn physics? Does past math experience affect how we learn physics? And how do math background successes compare to physics background successes? As we answer these questions, we will be better prepared in the Physics classroom and better identify the struggles of our students and solutions to help them better succeed.

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…

Symmetry and aesthetics in introductory physics: An experiment in interdisciplinary physics and fine arts education

NASA Astrophysics Data System (ADS)

van der Veen, Janet Krause

In a recent editorial in Physics Today (July, 2006, p. 10) the ability of physicists to "imagine new realities" was correlated with what have been traditionally considered non-scientific qualities of imagination and creativity, which are usually associated with fine arts. In view of the current developments in physics of the 21st Century, including the searches for cosmic dark energy and evidence from the Large Hadron Collider which, it is hoped, will verify or refute the proposals of String Theory, the importance of developing creativity and imagination through education is gaining recognition. Two questions are addressed by this study: First, How can we bring the sense of aesthetics and creativity, which are important in the practice of physics, into the teaching and learning of physics at the introductory college level, without sacrificing the mathematical rigor which is necessary for proper understanding of physics? Second, How can we provide access to physics for a diverse population of students which includes physics majors, arts majors, and future teachers? An interdisciplinary curriculum which begins with teaching math as a language of nature, and utilizes arts to help visualize the connections between mathematics and the physical universe, may provide answers to these questions. In this dissertation I describe in detail the case study of the eleven students - seven physics majors and four arts majors - who participated in an experimental course, Symmetry and Aesthetics in Introductory Physics, in Winter Quarter, 2007, at UCSB's College of Creative Studies. The very positive results of this experiment suggest that this model deserves further testing, and could provide an entry into the study of physics for physics majors, liberal arts majors, future teachers, and as a foundation for media arts and technology programs.

Introductory Physics Experiments Using the Wii Balance Board

NASA Astrophysics Data System (ADS)

Starr, Julian; Sobczak, Robert; Iqbal, Zohaib; Ochoa, Romulo

2010-02-01

The Wii, a video game console by Nintendo, utilizes several different controllers, such as the Wii remote (Wiimote) and the balance board, for game-playing. The balance board was introduced in early 2008. It contains four strain gauges and has Bluetooth connectivity at a relatively low price. Thanks to available open source code, such as GlovePie, any PC with Bluetooth capability can detect the information sent out by the balance board. Based on the ease with which the forces measured by each strain gauge can be obtained, we have designed several experiments for introductory physics courses that make use of this device. We present experiments to measure the forces generated when students lift their arms with and without added weights, distribution of forces on an extended object when weights are repositioned, and other normal forces cases. The results of our experiments are compared with those predicted by Newtonian mechanics. )

Teaching Quantum Interpretations: Revisiting the Goals and Practices of Introductory Quantum Physics Courses

ERIC Educational Resources Information Center

Baily, Charles; Finkelstein, Noah D.

2015-01-01

Most introductory quantum physics instructors would agree that transitioning students from classical to quantum thinking is an important learning goal, but may disagree on whether or how this can be accomplished. Although (and perhaps because) physicists have long debated the physical interpretation of quantum theory, many instructors choose to…

An algebra of discrete event processes

NASA Technical Reports Server (NTRS)

Heymann, Michael; Meyer, George

1991-01-01

This report deals with an algebraic framework for modeling and control of discrete event processes. The report consists of two parts. The first part is introductory, and consists of a tutorial survey of the theory of concurrency in the spirit of Hoare's CSP, and an examination of the suitability of such an algebraic framework for dealing with various aspects of discrete event control. To this end a new concurrency operator is introduced and it is shown how the resulting framework can be applied. It is further shown that a suitable theory that deals with the new concurrency operator must be developed. In the second part of the report the formal algebra of discrete event control is developed. At the present time the second part of the report is still an incomplete and occasionally tentative working paper.

Integrating writing into an introductory environmental science curriculum: Perspectives from biology and physics

NASA Astrophysics Data System (ADS)

Selkin, P. A.; Cline, E. T.; Beaufort, A.

2008-12-01

In the University of Washington, Tacoma's Environmental Science program, we are implementing a curriculum-wide, scaffolded strategy to teach scientific writing. Writing in an introductory science course is a powerful means to make students feel part of the scientific community, an important goal in our environmental science curriculum. Writing is already an important component of the UW Tacoma environmental science program at the upper levels: our approach is designed to prepare students for the writing-intensive junior- and senior-level seminars. The approach is currently being tested in introductory biology and physics before it is incorporated in the rest of the introductory environmental science curriculum. The centerpiece of our approach is a set of research and writing assignments woven throughout the biology and physics course sequences. The assignments progress in their degree of complexity and freedom through the sequence of introductory science courses. Each assignment is supported by a number of worksheets and short written exercises designed to teach writing and critical thought skills. The worksheets are focused on skills identified both by research in science writing and the instructors' experience with student writing. Students see the assignments as a way to personalize their understanding of basic science concepts, and to think critically about ideas that interest them. We find that these assignments provide a good way to assess student comprehension of some of the more difficult ideas in the basic sciences, as well as a means to engage students with the challenging concepts of introductory science courses. Our experience designing these courses can inform efforts to integrate writing throughout a geoscience or environmental science curriculum, as opposed to on a course-by-course basis.

Illustrations and Supporting Texts for Sound Standing Waves of Air Columns in Pipes in Introductory Physics Textbooks

ERIC Educational Resources Information Center

Zeng, Liang; Smith, Chris; Poelzer, G. Herold; Rodriguez, Jennifer; Corpuz, Edgar; Yanev, George

2014-01-01

In our pilot studies, we found that many introductory physics textbook illustrations with supporting text for sound standing waves of air columns in open-open, open-closed, and closed-closed pipes inhibit student understanding of sound standing wave phenomena due to student misunderstanding of how air molecules move within these pipes. Based on…

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.

Modeling the Water Balloon Slingshot

NASA Astrophysics Data System (ADS)

Bousquet, Benjamin D.; Figura, Charles C.

2013-01-01

In the introductory physics courses at Wartburg College, we have been working to create a lab experience focused on the scientific process itself rather than verification of physical laws presented in the classroom or textbook. To this end, we have developed a number of open-ended modeling exercises suitable for a variety of learning environments, from non-science major classes to algebra-based and calculus-based introductory physics classes.

Using the Wiimote in Introductory Physics Experiments

NASA Astrophysics Data System (ADS)

Ochoa, Romulo; Rooney, Frank G.; Somers, William J.

2011-01-01

The Wii is a very popular gaming console. An important component of its appeal is the ease of use of its remote controller, popularly known as a Wiimote. This simple-looking but powerful device has a three-axis accelerometer and communicates with the console via Bluetooth protocol. We present two experiments that demonstrate the feasibility of using the Wiimote in introductory physics experiments. The linear dependence of centripetal acceleration on the radial distance at constant angular velocity is verified and compared with data obtained using photogate timers. A second application to simple harmonic oscillators tests the capabilities of the Wiimote to measure variable accelerations.

Student difficulties in translating between mathematical and graphical representations in introductory physics

NASA Astrophysics Data System (ADS)

Lin, Shih-Yin; Maries, Alexandru; Singh, Chandralekha

2013-01-01

We investigate introductory physics students' difficulties in translating between mathematical and graphical representations and the effect of scaffolding on students' performance. We gave a typical problem that can be solved using Gauss's law involving a spherically symmetric charge distribution (a conducting sphere concentric with a conducting spherical shell) to 95 calculus-based introductory physics students. We asked students to write a mathematical expression for the electric field in various regions and asked them to graph the electric field. We knew from previous experience that students have great difficulty in graphing the electric field. Therefore, we implemented two scaffolding interventions to help them. Students who received the scaffolding support were either (1) asked to plot the electric field in each region first (before having to plot it as a function of distance from the center of the sphere) or (2) asked to plot the electric field in each region after explicitly evaluating the electric field at the beginning, mid and end points of each region. The comparison group was only asked to plot the electric field at the end of the problem. We found that students benefited the most from intervention (1) and that intervention (2), although intended to aid students, had an adverse effect. Also, recorded interviews were conducted with a few students in order to understand how students were impacted by the aforementioned interventions.

A Semantic Differential Evaluation of Attitudinal Outcomes of Introductory Physical Science.

ERIC Educational Resources Information Center

Hecht, Alfred Roland

This study was designed to assess the attitudinal outcomes of Introductory Physical Science (IPS) curriculum materials used in schools. Random samples of 240 students receiving IPS instruction and 240 non-science students were assigned to separate Solomon four-group designs with non-equivalent control groups. Random samples of 60 traditional…

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…

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.

Physical Activity Intervention Using Fitbits in an Introductory College Health Course

ERIC Educational Resources Information Center

Rote, Aubrianne E

2017-01-01

Objective: This study took the form of an intervention examining change in physical activity and quality of experience among students in an introductory health course who were asked to wear a Fitbit activity monitor throughout the semester. Method: College students (N = 56) took part in this controlled trial. Students enrolled in an introductory…

Analysis of Newton's Third Law Questions on the Force Concepts Inventory at Georgia State University

NASA Astrophysics Data System (ADS)

Oakley, Christopher; Thoms, Brian

2012-03-01

A major emphasis of the Physics Education Research program at Georgia State University is an effort to assess and improve students' understanding of Newton's Laws concepts. As part of these efforts the Force Concepts Inventory (FCI) has been given to students in both the algebra-based and calculus-based introductory physics sequences. In addition, the algebra-based introductory physics sequence is taught in both a SCALE-UP and a traditional lecture format. The results of the FCI have been analyzed by individual question and also as categorized by content. The analysis indicates that students in both algebra and calculus-based courses are successful at overcoming Aristotelian misconceptions regarding Newton's Third Law (N3) in the context of a stationary system. However, students are less successful on N3 questions involving objects in constant motion or accelerating. Interference between understanding of Newton's Second and Third Laws as well as other possible explanations for lower student performance on N3 questions involving non-stationary objects will be discussed.

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.

Three Pedagogical Approaches to Introductory Physics Labs and Their Effects on Student Learning Outcomes

ERIC Educational Resources Information Center

Chambers, Timothy

2014-01-01

This dissertation presents the results of an experiment that measured the learning outcomes associated with three different pedagogical approaches to introductory physics labs. These three pedagogical approaches presented students with the same apparatus and covered the same physics content, but used different lab manuals to guide students through…

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.

How Gender and Reformed Introductory Physics Impacts Student Success in Advanced Physics Courses and Continuation in the Physics Major

ERIC Educational Resources Information Center

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

2016-01-01

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…

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.

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.

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…

Effect of Scaffolding on Helping Introductory Physics Students Solve Quantitative Problems Involving Strong Alternative Conceptions

ERIC Educational Resources Information Center

Lin, Shih-Yin; Singh, Chandralekha

2015-01-01

It is well known that introductory physics students often have alternative conceptions that are inconsistent with established physical principles and concepts. Invoking alternative conceptions in the quantitative problem-solving process can derail the entire process. In order to help students solve quantitative problems involving strong…

The effect of research-based instruction in introductory physics on a common cognitive bias

NASA Astrophysics Data System (ADS)

Galloway, Ross K.; Bates, Simon P.; Parker, Jonathan; Usoskina, Evguenia

2013-01-01

Inspired by a paper at last year's PERC conference, in which Rebello [1] compared students' individual and cohort mean score estimations with their actual assessment scores, we present results of a study in which students in an introductory physics class were asked to predict their scores on two assessments, one delivered at the start of the course (pre-instruction) and one at the end of the course (post-instruction). Our results show that, pre-instruction, the academically strongest students tend to underestimate their score slightly, whereas the weakest overestimate their performance significantly, consistent with the findings of Rebello and demonstrating a well-known cognitive bias (the Dunning-Kruger effect). Post-instruction, we find that the ability of the original weakest quartile cohort to accurately predict their own assessment score has improved significantly, but a flux of students between quartiles from one assessment to the other reveals that the least able students continue to over-estimate their performance, but with a reduced mean discrepancy. We discuss the implications these results have for instruction and for development of enhanced metacognition amongst physics students.

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.

Learning as Accessing a Disciplinary Discourse: Integrating Academic Literacy into Introductory Physics through Collaborative Partnership

ERIC Educational Resources Information Center

Marshall, Delia; Conana, Honjiswa; Maclon, Rohan; Herbert, Mark; Volkwyn, Trevor

2011-01-01

This paper examines a collaborative partnership between discipline lecturers and an academic literacy practitioner in the context of undergraduate physics. Gee's sociocultural construct of Discourse is used as a framework for the design of an introductory physics course, explicitly framed around helping students access the disciplinary discourse…

Activity-Based Introductory Physics Reform *

NASA Astrophysics Data System (ADS)

Thornton, Ronald

2004-05-01

Physics education research has shown that learning environments that engage students and allow them to take an active part in their learning can lead to large conceptual gains compared to those of good traditional instruction. Examples of successful curricula and methods include Peer Instruction, Just in Time Teaching, RealTime Physics, Workshop Physics, Scale-Up, and Interactive Lecture Demonstrations (ILDs). RealTime Physics promotes interaction among students in a laboratory setting and makes use of powerful real-time data logging tools to teach concepts as well as quantitative relationships. An active learning environment is often difficult to achieve in large lecture sessions and Workshop Physics and Scale-Up largely eliminate lectures in favor of collaborative student activities. Peer Instruction, Just in Time Teaching, and Interactive Lecture Demonstrations (ILDs) make lectures more interactive in complementary ways. This presentation will introduce these reforms and use Interactive Lecture Demonstrations (ILDs) with the audience to illustrate the types of curricula and tools used in the curricula above. ILDs make use real experiments, real-time data logging tools and student interaction to create an active learning environment in large lecture classes. A short video of students involved in interactive lecture demonstrations will be shown. The results of research studies at various institutions to measure the effectiveness of these methods will be presented.

Accelerated Integrated Science Sequence (AISS): An Introductory Biology, Chemistry, and Physics Course

ERIC Educational Resources Information Center

Purvis-Roberts, Kathleen L.; Edwalds-Gilbert, Gretchen; Landsberg, Adam S.; Copp, Newton; Ulsh, Lisa; Drew, David E.

2009-01-01

A new interdisciplinary, introductory science course was offered for the first time during the 2007-2008 school year. The purpose of the course is to introduce students to the idea of working at the intersections of biology, chemistry, and physics and to recognize interconnections between the disciplines. Interdisciplinary laboratories are a key…

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…

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.

Internet computer coaches for introductory physics problem solving

NASA Astrophysics Data System (ADS)

Xu Ryan, Qing

The ability to solve problems in a variety of contexts is becoming increasingly important in our rapidly changing technological society. Problem-solving is a complex process that is important for everyday life and crucial for learning physics. Although there is a great deal of effort to improve student problem solving skills throughout the educational system, national studies have shown that the majority of students emerge from such courses having made little progress toward developing good problem-solving skills. The Physics Education Research Group at the University of Minnesota has been developing Internet computer coaches to help students become more expert-like problem solvers. During the Fall 2011 and Spring 2013 semesters, the coaches were introduced into large sections (200+ students) of the calculus based introductory mechanics course at the University of Minnesota. This dissertation, will address the research background of the project, including the pedagogical design of the coaches and the assessment of problem solving. The methodological framework of conducting experiments will be explained. The data collected from the large-scale experimental studies will be discussed from the following aspects: the usage and usability of these coaches; the usefulness perceived by students; and the usefulness measured by final exam and problem solving rubric. It will also address the implications drawn from this study, including using this data to direct future coach design and difficulties in conducting authentic assessment of problem-solving.

Examining End-Of-Chapter Problems Across Editions of an Introductory Calculus-Based Physics Textbook

NASA Astrophysics Data System (ADS)

Xiao, Bin

End-Of-Chapter (EOC) problems have been part of many physics education studies. Typically, only problems "localized" as relevant to a single chapter were used. This work examines how well this type of problem represents all EOC problems and whether EOC problems found in leading textbooks have changed over the past several decades. To investigate whether EOC problems have connections between chapters, I solved all problems of the E&M; chapters of the most recent edition of a popular introductory level calculus-based textbook and coded the equations used to solve each problem. These results were compared to the first edition of the same text. Also, several relevant problem features were coded for those problems and results were compared for sample chapters across all editions. My findings include two parts. The result of equation usage shows that problems in the E&M; chapters do use equations from both other E&M; chapters and non-E&M; chapters. This out-of-chapter usage increased from the first edition to the last edition. Information about the knowledge structure of E&M; chapters was also revealed. The results of the problem feature study show that most EOC problems have common features but there was an increase of diversity in some of the problem features across editions.

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.…

Too Early for Physics? Effect of Class Meeting Time on Student Evaluations of Teaching in Introductory Physics

ERIC Educational Resources Information Center

Tobin, R. G.

2017-01-01

This paper reports observations that show a significant effect of class meeting time on student evaluations of teaching for an introductory college physics class. Students in a lecture section with an early-morning meeting time gave the class and instructors consistently lower ratings than those in an otherwise nearly identical section that met an…

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

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.

Computer problem-solving coaches for introductory physics: Design and usability studies

NASA Astrophysics Data System (ADS)

Ryan, Qing X.; Frodermann, Evan; Heller, Kenneth; Hsu, Leonardo; Mason, Andrew

2016-06-01

The combination of modern computing power, the interactivity of web applications, and the flexibility of object-oriented programming may finally be sufficient to create computer coaches that can help students develop metacognitive problem-solving skills, an important competence in our rapidly changing technological society. However, no matter how effective such coaches might be, they will only be useful if they are attractive to students. We describe the design and testing of a set of web-based computer programs that act as personal coaches to students while they practice solving problems from introductory physics. The coaches are designed to supplement regular human instruction, giving students access to effective forms of practice outside class. We present results from large-scale usability tests of the computer coaches and discuss their implications for future versions of the coaches.

Preliminary investigation of instructor effects on gender gap in introductory physics

NASA Astrophysics Data System (ADS)

Kreutzer, Kimberley; Boudreaux, Andrew

2012-06-01

Gender differences in student learning in the introductory, calculus-based electricity and magnetism course were assessed by administering the Conceptual Survey of Electricity and Magnetism pre- and postcourse. As expected, male students outgained females in traditionally taught sections as well as sections that incorporated interactive engagement (IE) techniques. In two of the IE course sections, however, the gains of female students were comparable to those of male students. Classroom observations of the course sections involved were made over an extended period. In this paper, we characterize the observed instructor-student interactions using a framework from educational psychology referred to as wise schooling. Results suggest that instructor practices affect differential learning, and that wise schooling techniques may constitute an effective strategy for promoting gender equity in the physics classroom.

Sleep and Final Exam Performance in Introductory Physics

NASA Astrophysics Data System (ADS)

Coletta, Vincent; Wikholm, Colin; Pascoe, Daniel

2018-03-01

Most physics instructors believe that adequate sleep is important in order for students to perform well on problem solving, and many instructors advise students to get plenty of sleep the night before an exam. After years of giving such advice to students at Loyola Marymount University (LMU), one of us decided to find out how many hours students actually do sleep the night before an exam, and how that would relate to their performance. The effect of inadequate sleep on exam performance was explored in a second-semester introductory physics course. At the end of the final exam, students reported the number of hours they slept the night before. Sleep deprivation corresponded to lower final exam scores. The main purpose of this study is to provide evidence that instructors can provide to their students to convince them that their time is better spent sleeping rather than studying all night before an exam.

Fully On-line Introductory Physics with a Lab

NASA Astrophysics Data System (ADS)

Schatz, Michael

We describe the development and implementation of a college-level introductory physics (mechanics) course and laboratory that is suited for both on-campus and on-line environments. The course emphasizes a ``Your World is Your Lab'' approach whereby students first examine and capture on video (using cellphones) motion in their immediate surroundings, and then use free, open-source software both to extract data from the video and to apply physics principles to build models that describe, predict, and visualize the observations. Each student reports findings by creating a video lab report and posting it online; these video lab reports are then distributed to the rest of the class for peer review. In this talk, we will discuss the student and instructor experiences in courses offered to three distinct audiences in different venues: (1) a Massively Open On-line Course (MOOC) for off-campus participants, (2) a flipped/blended course for on-campus students, and, most recently, (3) a fully-online course for off-campus students.

Assessing the flexibility of research-based instructional strategies: Implementing tutorials in introductory physics in the lecture environment

NASA Astrophysics Data System (ADS)

Kryjevskaia, Mila; Boudreaux, Andrew; Heins, Dustin

2014-03-01

Materials from Tutorials in Introductory Physics, originally designed and implemented by the Physics Education Group at the University of Washington, were used in modified form as interactive lectures under conditions significantly different from those suggested by the curriculum developers. Student learning was assessed using tasks drawn from the physics education research literature. Use of tutorials in the interactive lecture format yielded gains in student understanding comparable to those obtained through the canonical tutorial implementation at the University of Washington, suggesting that student engagement with the intellectual steps laid out in the tutorials, rather than the specific strategies used in facilitating such engagement, plays the central role in promoting student learning. We describe the implementation details and assessment of student learning for two different tutorials: one focused on mechanical waves, used at North Dakota State University, and one on Galilean relativity, used at Western Washington University. Also discussed are factors that may limit the generalizability of the results.

Effect of Written Presentation on Performance in Introductory Physics

ERIC Educational Resources Information Center

Stewart, John; Ballard, Shawn

2010-01-01

This study examined the written work of students in the introductory calculus-based electricity and magnetism course at the University of Arkansas. The students' solutions to hourly exams were divided into a small set of countable features organized into three major categories, mathematics, language, and graphics. Each category was further divided…

The effect of mathematical model development on the instruction of acceleration to introductory physics students

NASA Astrophysics Data System (ADS)

Sauer, Tim Allen

The purpose of this study was to evaluate the effectiveness of utilizing student constructed theoretical math models when teaching acceleration to high school introductory physics students. The goal of the study was for the students to be able to utilize mathematical modeling strategies to improve their problem solving skills, as well as their standardized scientific and conceptual understanding. This study was based on mathematical modeling research, conceptual change research and constructivist theory of learning, all of which suggest that mathematical modeling is an effective way to influence students' conceptual connectiveness and sense making of formulaic equations and problem solving. A total of 48 students in two sections of high school introductory physics classes received constructivist, inquiry-based, cooperative learning, and conceptual change-oriented instruction. The difference in the instruction for the 24 students in the mathematical modeling treatment group was that they constructed every formula they needed to solve problems from data they collected. In contrast, the instructional design for the control group of 24 students allowed the same instruction with assigned problems solved with formulas given to them without explanation. The results indicated that the mathematical modeling students were able to solve less familiar and more complicated problems with greater confidence and mental flexibility than the control group students. The mathematical modeling group maintained fewer alternative conceptions consistently in the interviews than did the control group. The implications for acceleration instruction from these results were discussed.

Mainstreaming Remedial Mathematics Students in Introductory Statistics: Results Using a Randomized Controlled Trial

ERIC Educational Resources Information Center

Logue, Alexandra W.; Watanabe-Rose, Mari

2014-01-01

This study used a randomized controlled trial to determine whether students, assessed by their community colleges as needing an elementary algebra (remedial) mathematics course, could instead succeed at least as well in a college-level, credit-bearing introductory statistics course with extra support (a weekly workshop). Researchers randomly…

Data Analysis and Graphing in an Introductory Physics Laboratory: Spreadsheet versus Statistics Suite

ERIC Educational Resources Information Center

Peterlin, Primoz

2010-01-01

Two methods of data analysis are compared: spreadsheet software and a statistics software suite. Their use is compared analysing data collected in three selected experiments taken from an introductory physics laboratory, which include a linear dependence, a nonlinear dependence and a histogram. The merits of each method are compared. (Contains 7…

A Comparison of Online, Video Synchronous, and Traditional Learning Modes for an Introductory Undergraduate Physics Course

NASA Astrophysics Data System (ADS)

Faulconer, E. K.; Griffith, J.; Wood, B.; Acharyya, S.; Roberts, D.

2018-05-01

While the equivalence between online and traditional classrooms has been well-researched, very little of this includes college-level introductory Physics. Only one study explored Physics at the whole-class level rather than specific course components such as a single lab or a homework platform. In this work, we compared the failure rate, grade distribution, and withdrawal rates in an introductory undergraduate Physics course across several learning modes including traditional face-to-face instruction, synchronous video instruction, and online classes. Statistically significant differences were found for student failure rates, grade distribution, and withdrawal rates but yielded small effect sizes. Post-hoc pair-wise test was run to determine differences between learning modes. Online students had a significantly lower failure rate than students who took the class via synchronous video classroom. While statistically significant differences were found for grade distributions, the pair-wise comparison yielded no statistically significance differences between learning modes when using the more conservative Bonferroni correction in post-hoc testing. Finally, in this study, student withdrawal rates were lowest for students who took the class in person (in-person classroom and synchronous video classroom) than online. Students that persist in an online introductory Physics class are more likely to achieve an A than in other modes. However, the withdrawal rate is higher from online Physics courses. Further research is warranted to better understand the reasons for higher withdrawal rates in online courses. Finding the root cause to help eliminate differences in student performance across learning modes should remain a high priority for education researchers and the education community as a whole.

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.

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,…

Enhancing student performance in introductory physics in topics related to electricity and magnetism through the use of voluntary workshops

NASA Astrophysics Data System (ADS)

DeSilva, L. Ajith; Pullen, Adam; Hasbun, J. E.

2018-05-01

This article examines the effect of voluntary workshops on students’ performance in a university for algebra-based introductory physics on the topics of electricity, magnetism and related areas. A workshop is an optional one-hour-per-week session that promotes a small group’s peer instruction and co-operative learning, in order to enhance the conceptual understanding of physical principles and to improve problem-solving skills. During the workshops, a small group of students were encouraged to exchange ideas in a co-operative learning environment. Most students enrolled were poorly motivated, underprepared, and did not possess the prerequisite mathematics needed. For those who attended workshops, the result of scores on a standardized conceptual survey in electricity and magnetism showed a pre-test-post-test gain of 21% in the number of correct responses. This is to be contrasted with a 5% increase for those students who did not attend workshops. Further, we present a breakdown of the final letter grades obtained by students who attended workshops versus those who did not. Since the introduction of the workshops (out of 374 students), 95% of those who attended made a ‘C’ or better in the course. This compares to only 50% of the students who did not attend workshops and making a ‘C’ or better. The workshops have been offered since the Fall of 2010, but analyzed data includes fourteen years of student letter grades from 2001 to 2014 in order to study the effects on the workshops of the D, F, or W grades (DFW rate). We report a 7% reduction of the DFW rates, which we attribute to the incorporation of the workshops. The workshops are easy to implement and relatively inexpensive, yet appear to be an effective instructional method that enhances the success of underprepared students.

Application of the K-W-L Teaching and Learning Method to an Introductory Physics Course

ERIC Educational Resources Information Center

Wrinkle, Cheryl Schaefer; Manivannan, Mani K.

2009-01-01

The K-W-L method of teaching is a simple method that actively engages students in their own learning. It has been used with kindergarten and elementary grades to teach other subjects. The authors have successfully used it to teach physics at the college level. In their introductory physics labs, the K-W-L method helped students think about what…

Gender Differences in Both Force Concept Inventory and Introductory Physics Performance

NASA Astrophysics Data System (ADS)

Docktor, Jennifer; Heller, Kenneth

2008-10-01

We present data from a decade of introductory calculus-based physics courses for science and engineering students at the University of Minnesota taught using cooperative group problem solving. The data include 40 classes with more than 5500 students taught by 22 different professors. The average normalized gain for males is 0.4 for these large classes that emphasized problem solving. Female students made up approximately 20% of these classes. We present relationships between pre and post Force Concept Inventory (FCI) scores, course grades, and final exam scores for females and males. We compare our results with previous studies from Harvard [2] and the University of Colorado [3,4]. Our data show there is a significant gender gap in pre-test FCI scores that persists post-instruction although there is essentially no gender difference in course performance as determined by course grade.

A Case-Based Curriculum for Introductory Geology

ERIC Educational Resources Information Center

Goldsmith, David W.

2011-01-01

For the past 5 years I have been teaching my introductory geology class using a case-based method that promotes student engagement and inquiry. This article presents an explanation of how a case-based curriculum differs from a more traditional approach to the material. It also presents a statistical analysis of several years' worth of student…

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.

Cultivating the Capacity for Formal Reasoning: Objectives and Procedures in an Introductory Physical Science Course

ERIC Educational Resources Information Center

Arons, A. B.

1976-01-01

Describes special factors and procedures which are utilized in an introductory physical science course for nonscience majors. It is designed to enable students who are at a concrete or transitional stage to attain the formal operational level of development. (Author/SL)

Integrating Mathematics into the Introductory Biology Laboratory Course

ERIC Educational Resources Information Center

White, James D.; Carpenter, Jenna P.

2008-01-01

Louisiana Tech University has an integrated science curriculum for its mathematics, chemistry, physics, computer science, biology-research track and secondary mathematics and science education majors. The curriculum focuses on the calculus sequence and introductory labs in biology, physics, and chemistry. In the introductory biology laboratory…

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…

Quantifying the Level of Inquiry in a Reformed Introductory Geology Lab Course

ERIC Educational Resources Information Center

Moss, Elizabeth; Cervato, Cinzia

2016-01-01

As part of a campus-wide effort to transform introductory science courses to be more engaging and more accurately convey the excitement of discovery in science, the curriculum of an introductory physical geology lab course was redesigned. What had been a series of ''cookbook'' lab activities was transformed into a sequence of activities based on…

Innovative Interactive Lecture Demonstrations Using Wireless Force Sensors and Accelerometers for Introductory Physics Courses

ERIC Educational Resources Information Center

Yoder, G.; Cook, J.

2010-01-01

Interactive lecture demonstrations (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. We have used the…

Assessing gender differences in response system questions for an introductory physics course

NASA Astrophysics Data System (ADS)

Richardson, Chris T.; O'Shea, Brian W.

2013-03-01

In this work, we investigate whether gender differences are present in the iClicker student response system during introductory physics lectures in an engaged environment. We find that men and women are equally likely to respond to questions correctly and in the same amount of time. We also find that both genders make use of multiple responses in the same timescale, however, the average number of responses for a given question is significantly higher for men than women. Upon analyzing these responses, we also find men are slightly more likely than women to change their response, while the response base station is open. Both genders benefit from peer instruction by answering more quickly and correctly. The connection between previously documented timescale differences, differences in ungraded responses, and their implications for the classroom environment are discussed.

8th Grade Algebra Teachers in Arkansas to Need State Nod

ERIC Educational Resources Information Center

Cavanagh, Sean

2008-01-01

Lindsay E. Carlton has taught mathematics to students at different grades, with different ability levels. Now, the young educator's state wants to recognize her ability to work with one group in particular: 8th graders enrolled in introductory algebra. Carlton is one of many math educators across Arkansas who plan to acquire a new, unusual state…

Reducing gender differences in performance in introductory college physics through values affirmation

NASA Astrophysics Data System (ADS)

Kost-Smith, Lauren

2011-04-01

Despite males and females being equally represented at the college level in several STEM disciplines (including biology, chemistry and mathematics), females continue to be under-represented in physics. Our research documents and addresses this participation gender gap in the introductory, calculus-based physics courses at the University of Colorado. We characterize gender differences in performance, psychological factors (including attitudes and beliefs) and retention that exist in Physics 1 and 2 [L. E. Kost, et al., Phys. Rev. ST Phys. Educ. Res. 5, 010101 (2009); L. E. Kost-Smith, et al., Phys. Rev. ST Phys. Educ. Res. 6, 020112 (2010)]. We find that the gender differences in performance can largely be accounted for by measurable differences in the physics and mathematics backgrounds and incoming attitudes and beliefs of males and females. But these background factors do not completely account for the gender gaps. We hypothesize, based on gender differences in responses to survey questions about students' sense of physics identity and confidence levels, that identity threat (the fear of confirming a negative characterization about one's identity) is playing a role in our courses. Working with researchers in psychology, we implemented an intervention where students either wrote about their most important values or not, twice at the beginning of the course [A. Miyake, et al., Science, 330, 1234 (2010)]. This ``values affirmation'' activity reduced the male-female performance difference substantially and elevated women's modal grades from the C to B range. Benefits were strongest for women who tended to endorse the stereotype that men do better than women in physics. This brief psychological intervention may be a promising way to address the gender gap in science performance.

Life Science Students' Attitudes, Interest, and Performance in Introductory Physics for Life Sciences: An Exploratory Study

ERIC Educational Resources Information Center

Crouch, Catherine H.; Wisittanawat, Panchompoo; Cai, Ming; Renninger, K. Ann

2018-01-01

In response to national calls for improved physical sciences education for students pursuing careers in the life sciences and medicine, reformed introductory physics for life sciences (IPLS) courses are being developed. This exploratory study is among the first to assess the effect of an IPLS course on students' attitudes, interest, and…

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.

Consideration of Learning Orientations as an Application of Achievement Goals in Evaluating Life Science Majors in Introductory Physics

ERIC Educational Resources Information Center

Mason, Andrew J.; Bertram, Charles A.

2018-01-01

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…

Evaluating Introductory Physics Classes in Light of the ABET Criteria: An Example from the SCALE-UP Project.

ERIC Educational Resources Information Center

Saul, Jeffery M.; Deardorff, Duane L.; Abbott, David S.; Allain, Rhett J.; Beichner, Robert J.

The Student-Centered Activities for Large Enrollment University Physics (SCALE-UP) project at North Carolina State University (NCSU) is developing a curriculum to promote learning through in-class group activities in introductory physics classes up to 100 students. The authors are currently in Phase II of the project using a specially designed…

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.

Lecture Notes on Topics in Accelerator Physics

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

Chao, Alex W.

These are lecture notes that cover a selection of topics, some of them under current research, in accelerator physics. I try to derive the results from first principles, although the students are assumed to have an introductory knowledge of the basics. The topics covered are: (1) Panofsky-Wenzel and Planar Wake Theorems; (2) Echo Effect; (3) Crystalline Beam; (4) Fast Ion Instability; (5) Lawson-Woodward Theorem and Laser Acceleration in Free Space; (6) Spin Dynamics and Siberian Snakes; (7) Symplectic Approximation of Maps; (8) Truncated Power Series Algebra; and (9) Lie Algebra Technique for nonlinear Dynamics. The purpose of these lectures ismore » not to elaborate, but to prepare the students so that they can do their own research. Each topic can be read independently of the others.« less

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.

Illustrations and supporting texts for sound standing waves of air columns in pipes in introductory physics textbooks

NASA Astrophysics Data System (ADS)

Zeng, Liang; Smith, Chris; Poelzer, G. Herold; Rodriguez, Jennifer; Corpuz, Edgar; Yanev, George

2014-12-01

In our pilot studies, we found that many introductory physics textbook illustrations with supporting text for sound standing waves of air columns in open-open, open-closed, and closed-closed pipes inhibit student understanding of sound standing wave phenomena due to student misunderstanding of how air molecules move within these pipes. Based on the construct of meaningful learning from cognitive psychology and semiotics, a quasiexperimental study was conducted to investigate the comparative effectiveness of two alternative approaches to student understanding: a traditional textbook illustration approach versus a newly designed air molecule motion illustration approach. Thirty volunteer students from introductory physics classes were randomly assigned to two groups of 15 each. Both groups were administered a presurvey. Then, group A read the air molecule motion illustration handout, and group B read a traditional textbook illustration handout; both groups were administered postsurveys. Subsequently, the procedure was reversed: group B read the air molecule motion illustration handout and group A read the traditional textbook illustration handout. This was followed by a second postsurvey along with an exit research questionnaire. The study found that the majority of students experienced meaningful learning and stated that they understood sound standing wave phenomena significantly better using the air molecule motion illustration approach. This finding provides a method for physics education researchers to design illustrations for abstract sound standing wave concepts, for publishers to improve their illustrations with supporting text, and for instructors to facilitate deeper learning in their students on sound standing waves.

BOOK REVIEW: Introductory Nanoscience: Physical and Chemical Concepts Introductory Nanoscience: Physical and Chemical Concepts

NASA Astrophysics Data System (ADS)

Bich Ha, Nguyen

2011-12-01

Having grown rapidly during the last two decades, and successfully synthesized the achievements of physics, chemistry, life science as well as information and computational science and technology, nanoscience and nanotechnology have emerged as interdisciplinary fields of modern science and technology with various prospective applications towards environmental protection and the sustainable development of industry, agriculture, public health etc. At the present time, there exist many textbooks, monographs and encyclopedias on nanoscience and nanotechnology. They present to readers the whole process of development from the emergence of new scientific ideas to comprehensive studies of concrete subjects. They are useful for experienced scientists in nanoscience and nanotechnology as well as related scientific disciplines. However, there are very few textbooks on nanoscience and nanotechnology for beginners—senior undergraduate and junior graduate students. Published by Garland Science in August 2011, Introductory Nanoscience: Physical and Chemical Concepts by Masaru Kuno is one of these rare textbooks. The purpose of this book is twofold. In a pedagogical manner the author presents the basic physical and chemical concepts of nanoscience and nanotechnology. Students with a background knowledge in general chemistry and semiclassical quantum physics can easily understand these concepts. On the other hand, by carefully studying the content of this textbook, readers can learn how to derive a large number of formulae and expressions which they will often use in their study as well as in their future research work. A distinguishing feature of the book is the inclusion of a large number of thought problems at the end of each chapter for demonstrating how to calculate the numerical values of almost all physical quantities involved in the theoretical and experimental studies of all subjects of nanoscience and nanotechnology. The author has successfully achieved both of the

Exoplanet Science in the Classroom: Learning Activities for an Introductory Physics Course

NASA Astrophysics Data System (ADS)

Della-Rose, Devin; Carlson, Randall; de La Harpe, Kimberly; Novotny, Steven; Polsgrove, Daniel

2018-03-01

Discovery of planets outside our solar system, known as extra-solar planets or exoplanets for short, has been at the forefront of astronomical research for over 25 years. Reports of new discoveries have almost become routine; however, the excitement surrounding them has not. Amazingly, as groundbreaking as exoplanet science is, the basic physics is quite accessible to first-year physics students, as discussed in previous TPT articles. To further illustrate this point, we developed an iOS application that generates synthetic exoplanet data to provide students and teachers with interactive learning activities. Using introductory physics concepts, we demonstrate how to estimate exoplanet mass, radius, and density from the app output. These calculations form the basis for a diverse range of classroom activities. We conclude with a summary of exoplanet science resources for teachers.

Preliminary Investigation of Instructor Effects on Gender Gap in Introductory Physics

ERIC Educational Resources Information Center

Kreutzer, Kimberley; Boudreaux, Andrew

2012-01-01

Gender differences in student learning in the introductory, calculus-based electricity and magnetism course were assessed by administering the Conceptual Survey of Electricity and Magnetism pre- and postcourse. As expected, male students outgained females in traditionally taught sections as well as sections that incorporated interactive engagement…

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…

The Learning Reconstruction of Particle System and Linear Momentum Conservation in Introductory Physics Course

NASA Astrophysics Data System (ADS)

Karim, S.; Saepuzaman, D.; Sriyansyah, S. P.

2016-08-01

This study is initiated by low achievement of prospective teachers in understanding concepts in introductory physics course. In this case, a problem has been identified that students cannot develop their thinking skills required for building physics concepts. Therefore, this study will reconstruct a learning process, emphasizing a physics concept building. The outcome will design physics lesson plans for the concepts of particle system as well as linear momentum conservation. A descriptive analysis method will be used in order to investigate the process of learning reconstruction carried out by students. In this process, the students’ conceptual understanding will be evaluated using essay tests for concepts of particle system and linear momentum conservation. The result shows that the learning reconstruction has successfully supported the students’ understanding of physics concept.

Implementation of Inquiry-Based Tutorials in AN Introductory Physics Course: the Role of the Graduate Teaching Assistant.

NASA Astrophysics Data System (ADS)

Thoresen, Carol Wiggins

1994-01-01

This study determined if the training provided physics teaching assistants was sufficient to accomplish the objectives of inquiry-based tutorials for an introductory physics course. Qualitative research methods were used: (1) to determine if the Physics by Inquiry method was modeled; (2) to describe the process from the teaching assistant perspective; (3) to determine TA opinions on training methods; (4) to develop a frame of reference to better understand the role of TA's as instructional support staff. The study determined that the teaching assistants verbalized appropriate instructional actions, but were observed to use a predominantly didactic teaching style. TA's held a variety of perceptions and beliefs about inquiry -based learning and how science is learned. They felt comfortable in the role of tutorial instructor. They were satisfied with the training methods provided and had few suggestions to change or improve training for future tutorial instructors. A concurrent theme of teacher action dependent on teacher beliefs was sustained throughout the study. The TA's actions, as tutorial instructors, reflected their educational beliefs, student background and learning experiences. TA's performance as tutorial instructors depended on what they think and believe about learning science. Practical implications exist for training teaching assistants to be tutorial instructors. Some recommendations may be appropriate for TA's required to use instructional methods that they have not experienced as students. Interview prospective teaching assistants to determine educational experience and beliefs. Employ inexperienced teaching assistants whose perspectives match the proposed instructional role and who might be more receptive to modeling. Incorporate training into staff meetings. Provide time for TA's to experience the instructional model with simulation or role play as students and as instructors, accompanied by conference discussion. Use strategies known to enhance

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.

Life science students' attitudes, interest, and performance in introductory physics for life sciences: An exploratory study

NASA Astrophysics Data System (ADS)

Crouch, Catherine H.; Wisittanawat, Panchompoo; Cai, Ming; Renninger, K. Ann

2018-06-01

In response to national calls for improved physical sciences education for students pursuing careers in the life sciences and medicine, reformed introductory physics for life sciences (IPLS) courses are being developed. This exploratory study is among the first to assess the effect of an IPLS course on students' attitudes, interest, and performance. The IPLS course studied was the second semester of introductory physics, following a standard first semester course, allowing the outcomes of the same students in a standard course and in an IPLS course to be compared. In the IPLS course, each physics topic was introduced and elaborated in the context of a life science example, and developing students' skills in applying physics to life science situations was an explicitly stated course goal. Items from the Colorado Learning about Science Survey were used to assess change in students' attitudes toward and their interest in physics. Whereas the same students' attitudes declined during the standard first semester course, we found that students' attitudes toward physics hold steady or improve in the IPLS course. In particular, students with low initial interest in physics displayed greater increases in both attitudes and interest during the IPLS course than in the preceding standard course. We also find that in the IPLS course, students' interest in the life science examples is a better predictor of their performance than their pre-IPLS interest in physics. Our work suggests that the life science examples in the IPLS course can support the development of student interest in physics and positively influence their performance.

A smartphone-based introductory astronomy experiment: Seasons investigation

NASA Astrophysics Data System (ADS)

Durelle, Jeremy; Jones, Jennifer; Merriman, Steven; Balan, Aurelian

2017-02-01

Light sensor probes are useful in experiments that investigate seasonal variations and the nature of light. However, having a dedicated light probe is not always possible or even convenient for many instructors. Modern smartphone technology gives instructors the ability to use built-in light sensors as an inexpensive alternative. This introductory experiment will have students use a smartphone loaded with a light detection app to quantitatively determine how changing latitude on Earth changes flux received. The purpose is to have students discover how the different seasons arise from the Earth-Sun system. While performing the experiment and analyzing the data, students will also discover the following important and relevant physical relationships: distance from light source and light brightness (flux), latitude and flux, and Earth's orientation and location (latitude) of maximum flux. By piecing all of these relationships together, students are able to explain the origins of the different seasons based on the data they collected.

Active learning of introductory optics: real-time physics labs, interactive lecture demonstrations and magic

NASA Astrophysics Data System (ADS)

Sokoloff, David R.

2005-10-01

Widespread physics education research has shown that most introductory physics students have difficulty learning essential optics concepts - even in the best of traditional courses, and that well-designed active learning approaches can remedy this problem. This mini-workshop and the associated poster session will provide direct experience with methods for promoting students' active involvement in the learning process in lecture and laboratory. Participants will have hands-on experience with activities from RealTime Physics labs and Interactive Lecture Demonstrations - a learning strategy for large (and small) lectures, including specially designed Optics Magic Tricks. The poster will provide more details on these highly effective curricula.

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.

A reflection on the use of ‘electric flux’ in introductory physics instruction

NASA Astrophysics Data System (ADS)

O’Sullivan, Colm

2018-07-01

The treatment of electric fields and flux in most textbooks on introductory physics, at least in the English language, differs radically from the nomenclature recommended by all relevant standards organisations and authorities. The general approach also conflicts with the usual methodology adopted in electrical engineering texts. The origin of the discrepancy is outlined and it is suggested that resolving the conflict would be beneficial to the teaching and learning of this and related topics.

Students' Pre-Knowledge as a Guideline in the Teaching of Introductory Thermal Physics at University

ERIC Educational Resources Information Center

Leinonen, Risto; Rasanen, Esa; Asikainen, Mervi; Hirvonen, Pekka E.

2009-01-01

This study concentrates on analysing university students' pre-knowledge of thermal physics. The students' understanding of the basic concepts and of the adiabatic compression of an ideal gas was studied at the start of an introductory level course. A total of 48 students participated in a paper-and-pencil test, and analysis of the responses…

Incorporating Code-Based Software in an Introductory Statistics Course

ERIC Educational Resources Information Center

Doehler, Kirsten; Taylor, Laura

2015-01-01

This article is based on the experiences of two statistics professors who have taught students to write and effectively utilize code-based software in a college-level introductory statistics course. Advantages of using software and code-based software in this context are discussed. Suggestions are made on how to ease students into using code with…

Interdisciplinary reasoning about energy in an introductory physics course for the life sciences

NASA Astrophysics Data System (ADS)

Dreyfus, Benjamin William

Energy is a unifying concept that cuts across physics, chemistry, and biology. However, students who study all three disciplines can end up with a fragmented understanding of energy. This dissertation sits at the intersection of two active areas of current research: the teaching and learning of energy, and interdisciplinary science education (particularly the intersection of physics and biology). The context for this research is an introductory physics course for undergraduate life sciences majors that is reformed to build stronger interdisciplinary connections between physics, biology, and chemistry. An approach to energy that incorporates chemical bonds and chemical reactions is better equipped to meet the needs of life sciences students than a traditional introductory physics approach that focuses primarily on mechanical energy, and so we present a curricular thread for chemical energy in the physics course. Our first set of case studies examines student reasoning about ATP hydrolysis, a biochemically significant reaction that powers various processes in the cell. We observe students expressing both that an energy input is required to break a chemical bond (which they associate with physics) and that energy is released when the phosphate bond is broken in ATP (which they associate with biology). We use these case studies to articulate a model of interdisciplinary reconciliation: building coherent connections between concepts from different disciplines while understanding each concept in its own disciplinary context and justifying the modeling choices in deciding when to use each disciplinary model. Our second study looks at ontological metaphors for energy: metaphors about what kind of thing energy is. Two ontological metaphors for energy that have previously been documented include energy as a substance and energy as a location. We argue for the use of negative energy in modeling chemical energy in an interdisciplinary context, and for the use of a blended

Faraday's Principle and Air Travel in the Introductory Labs

ERIC Educational Resources Information Center

Abdul-Razzaq, Wathiq; Thakur, Saikat Chakraborty

2017-01-01

We all know that we must improve the quality of teaching in science at all levels. Not only physicists but also many students from other areas of study take the introductory physics courses in college. Physics introductory laboratories (labs) can be one of the best tools to help these students understand applications of scientific principles that…

Enhancing the Teaching of Introductory Economics with a Team-Based, Multi-Section Competition

ERIC Educational Resources Information Center

Beaudin, Laura; Berdiev, Aziz N.; Kaminaga, Allison Shwachman; Mirmirani, Sam; Tebaldi, Edinaldo

2017-01-01

The authors describe a unique approach to enhancing student learning at the introductory economics level that utilizes a multi-section, team-based competition. The competition is structured to supplement learning throughout the entire introductory course. Student teams are presented with current economic issues, trends, or events, and use economic…

Teaching a Chemistry MOOC with a Virtual Laboratory: Lessons Learned from an Introductory Physical Chemistry Course

ERIC Educational Resources Information Center

O'Malley, Patrick J.; Agger, Jonathan R.; Anderson, Michael W.

2015-01-01

An analysis is presented of the experience and lessons learned of running a MOOC in introductory physical chemistry. The course was unique in allowing students to conduct experimental measurements using a virtual laboratory constructed using video and simulations. A breakdown of the student background and motivation for taking the course is…

Coupling Conceptual and Quantitative Problems to Develop Expertise in Introductory Physics Students

NASA Astrophysics Data System (ADS)

Singh, Chandralekha

2008-10-01

We discuss the effect of administering conceptual and quantitative isomorphic problem pairs (CQIPP) back to back vs. asking students to solve only one of the problems in the CQIPP in introductory physics courses. Students who answered both questions in a CQIPP often performed better on the conceptual questions than those who answered the corresponding conceptual questions only. Although students often took advantage of the quantitative counterpart to answer a conceptual question of a CQIPP correctly, when only given the conceptual question, students seldom tried to convert it into a quantitative question, solve it and then reason about the solution conceptually. Even in individual interviews, when students who were only given conceptual questions had difficulty and the interviewer explicitly encouraged them to convert the conceptual question into the corresponding quantitative problem by choosing appropriate variables, a majority of students were reluctant and preferred to guess the answer to the conceptual question based upon their gut feeling.

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

Mastery Based Homework in Introductory Physics at the University of Illinois

NASA Astrophysics Data System (ADS)

Stelzer, Tim; Gutmann, Brianne; Gladding, Gary; Lundsgaard, Morten; Schroeder, Noah

2017-01-01

The successful implementation of mastery-style online homework into our preparatory mechanics course has been a long-term project, currently in its second year. By requiring students to perfect a single unit of defined competencies before moving on to its successive unit (with intervening narrated animated solutions for instructional support), this homework delivery method replaced traditional immediate feedback online homework for the class of about 500 students. After the first year of data collection and analysis, significant revisions were made to the system's delivery, content, and messaging. The impact of these changes and second year data will be presented, as well as data from implementation in our introductory electricity and magnetism course. NSF DUE 16-08002.

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.

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%.

Internet-Based Laboratory Immersion: When The Real Deal is Not Available

NASA Astrophysics Data System (ADS)

Meisner, Gerald; Hoffman, Harol

2004-11-01

Do you want all of your students to investigate equilibrium conditions in the physics lab, but don't have time for lab investigations? Do your under-prepared students need basic, careful and detailed remedial work to help them succeed? LAAPhysics provides an answer to these questions by means of robust online physics courseware based on: (1) a sound, research-based pedagogy (2) a rich laboratory environment with skills and operational knowledge transferable to the wet lab' and (3) a paradigm which is economically scalable. LAAPhysics provides both synchronous and asynchronous learning experiences for an introductory, algebra-based course for students (undergraduate, AP High School, seekers of a second degree), those seeking career changes, and pre-service and in-service teachers. We have developed a simulated physics laboratory comprised of virtual lab equipment and instruments, associated curriculum modules and virtual guidance for real time feedback, formative assessment and collaborative learning.

Introductory labs; what they don't, should, and can teach (and why)

NASA Astrophysics Data System (ADS)

Wieman, Carl

2016-03-01

Introductory physics labs are widely used and expensive. They have a wide variety of potential learning goals, but these are seldom specified and less often measured if they are achieved. We cover three different research projects on introductory labs: 1) We have done cognitive task analyses of both experimental research in physics and instructional labs. The striking differences explain much of the unhappiness expressed by students with labs: 2) We have measured the effectiveness of two introductory physics lab courses specifically intended to teach the physics content covered in standard introductory courses on mechanics and E & M. As measured by course exams, the benefit is 0 +/-2% for both. 3) We show how it is possible to use lab courses to teach students to correctly evaluate physical models with uncertain data. Such quantitative critical thinking is an important skill that is not learned in typical lab courses, but is well learned by our modified lab instruction.

Comparing Student Success and Understanding in Introductory Statistics under Consensus and Simulation-Based Curricula

ERIC Educational Resources Information Center

Hldreth, Laura A.; Robison-Cox, Jim; Schmidt, Jade

2018-01-01

This study examines the transferability of results from previous studies of simulation-based curriculum in introductory statistics using data from 3,500 students enrolled in an introductory statistics course at Montana State University from fall 2013 through spring 2016. During this time, four different curricula, a traditional curriculum and…

Examining Student Attitudes in Introductory Physics via the Math Attitude and Expectations Survey (MAX)

NASA Astrophysics Data System (ADS)

Hemingway, Deborah; Eichenlaub, Mark; Losert, Wolfgang; Redish, Edward F.

2017-01-01

Student often face difficulties with using math in science, and this exploratory project seeks to address the underlying mechanisms that lead to these difficulties. This mixed-methods project includes the creation of two novel assessment surveys, the Mathematical Epistemic Games Survey (MEGS) and the Math Attitude and Expectations Survey (MAX). The MAX, a 30-question Likert-scale survey, focuses on the attitudes towards using mathematics of the students in a reformed introductory physics course for the life sciences (IPLS) which is part of the National Experiment in Undergraduate Education (NEXUS/Physics) developed at the University of Maryland (UMD). Preliminary results from the MAX are discussed with specific attention given to students' attitudes towards math and physics, opinions about interdisciplinarity, and the usefulness of physics in academic settings as well as in professional biological research and modern medicine settings.

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

Characterizing interactive engagement activities in a flipped introductory physics class

NASA Astrophysics Data System (ADS)

Wood, Anna K.; Galloway, Ross K.; Donnelly, Robyn; Hardy, Judy

2016-06-01

Interactive engagement activities are increasingly common in undergraduate physics teaching. As research efforts move beyond simply showing that interactive engagement pedagogies work towards developing an understanding of how they lead to improved learning outcomes, a detailed analysis of the way in which these activities are used in practice is needed. Our aim in this paper is to present a characterization of the type and duration of interactions, as experienced by students, that took place during two introductory physics courses (1A and 1B) at a university in the United Kingdom. Through this work, a simple framework for analyzing lectures—the framework for interactive learning in lectures (FILL), which focuses on student interactions (with the lecturer, with each other, and with the material) is proposed. The pedagogical approach is based on Peer Instruction (PI) and both courses are taught by the same lecturer. We find lecture activities can be categorized into three types: interactive (25%), vicarious interactive (20%) (involving questions to and from the lecturer), and noninteractive (55%). As expected, the majority of both interactive and vicarious interactive activities took place during PI. However, the way that interactive activities were used during non-PI sections of the lecture varied significantly between the two courses. Differences were also found in the average time spent on lecturer-student interactions (28% for 1A and 12% for 1B), although not on student-student interactions (12% and 12%) or on individual learning (10% and 7%). These results are explored in detail and the implications for future research are discussed.

Intervention activities to improve the reasoning ability of students at risk in introductory physics

NASA Astrophysics Data System (ADS)

Coletta, Vincent P.; Phillips, J.

2006-12-01

We describe a number of activities we have begun using in interventions targeting students who are at risk in introductory college physics courses. Some are adaptations of the work of others with pre-high school children, including Philip Adey in Great Britain (Cognitive Acceleration though Science Education), Reuven Feuerstein in Israel (Instrumental Enrichment), and Kurtz and Karplus in the U. S. in the 70’s (Numerical Relationships). We have also added some other activities, including Sudoku strategy development.

Assessing Student Expertise in Introductory Physics with Isomorphic Problems. II. Effect of Some Potential Factors on Problem Solving and Transfer

ERIC Educational Resources Information Center

Chandralekha; Singh

2008-01-01

In this paper, we explore the use of isomorphic problem pairs (IPPs) to assess introductory physics students' ability to solve and successfully transfer problem-solving knowledge from one context to another in mechanics. We call the paired problems "isomorphic" because they require the same physics principle to solve them. We analyze written…

Model Based Reasoning by Introductory Students When Analyzing Earth Systems and Societal Challenges

NASA Astrophysics Data System (ADS)

Holder, L. N.; Herbert, B. E.

2014-12-01

Understanding how students use their conceptual models to reason about societal challenges involving societal issues such as natural hazard risk assessment, environmental policy and management, and energy resources can improve instructional activity design that directly impacts student motivation and literacy. To address this question, we created four laboratory exercises for an introductory physical geology course at Texas A&M University that engages students in authentic scientific practices by using real world problems and issues that affect societies based on the theory of situated cognition. Our case-study design allows us to investigate the various ways that students utilize model based reasoning to identify and propose solutions to societally relevant issues. In each of the four interventions, approximately 60 students in three sections of introductory physical geology were expected to represent and evaluate scientific data, make evidence-based claims about the data trends, use those claims to express conceptual models, and use their models to analyze societal challenges. Throughout each step of the laboratory exercise students were asked to justify their claims, models, and data representations using evidence and through the use of argumentation with peers. Cognitive apprenticeship was the foundation for instruction used to scaffold students so that in the first exercise they are given a partially completed model and in the last exercise students are asked to generate a conceptual model on their own. Student artifacts, including representation of earth systems, representation of scientific data, verbal and written explanations of models and scientific arguments, and written solutions to specific societal issues or environmental problems surrounding earth systems, were analyzed through the use of a rubric that modeled authentic expertise and students were sorted into three categories. Written artifacts were examined to identify student argumentation and

Gravitational Wave Detection in the Introductory Lab

NASA Astrophysics Data System (ADS)

Burko, Lior M.

2017-01-01

Great physics breakthroughs are rarely included in the introductory physics course. General relativity and binary black hole coalescence are no different, and can be included in the introductory course only in a very limited sense. However, we can design activities that directly involve the detection of GW150914, the designation of the Gravitation Wave signal detected on September 14, 2015, thereby engage the students in this exciting discovery directly. The activities naturally do not include the construction of a detector or the detection of gravitational waves. Instead, we design it to include analysis of the data from GW150914, which includes some interesting analysis activities for students of the introductory course. The same activities can be assigned either as a laboratory exercise or as a computational project for the same population of students. The analysis tools used here are simple and available to the intended student population. It does not include the sophisticated analysis tools, which were used by LIGO to carefully analyze the detected signal. However, these simple tools are sufficient to allow the student to get important results. We have successfully assigned this lab project for students of the introductory course with calculus at Georgia Gwinnett College.

Exploring University Students' Expectations and Beliefs about Physics and Physics Learning in a Problem-Based Learning Context

ERIC Educational Resources Information Center

Sahin, Mehmet

2009-01-01

This paper reports the results of an exploratory study aimed to determine university students' expectations and beliefs in a problem-based introductory physics course, how those expectations compare to that of students in other universities, and change as a result of one semester of instruction. In total, 264 freshmen engineering students of Dokuz…

Adding Resistances and Capacitances in Introductory Electricity

NASA Astrophysics Data System (ADS)

Efthimiou, C. J.; Llewellyn, R. A.

2005-09-01

All introductory physics textbooks, with or without calculus, cover the addition of both resistances and capacitances in series and in parallel as discrete summations. However, none includes problems that involve continuous versions of resistors in parallel or capacitors in series. This paper introduces a method for solving the continuous problems that is logical, straightforward, and within the mathematical preparation of students at the introductory level.

Reasoning with alternative explanations in physics: The cognitive accessibility rule

NASA Astrophysics Data System (ADS)

Heckler, Andrew F.; Bogdan, Abigail M.

2018-06-01

A critical component of scientific reasoning is the consideration of alternative explanations. Recognizing that decades of cognitive psychology research have demonstrated that relative cognitive accessibility, or "what comes to mind," strongly affects how people reason in a given context, we articulate a simple "cognitive accessibility rule", namely that alternative explanations are considered less frequently when an explanation with relatively high accessibility is offered first. In a series of four experiments, we test the cognitive accessibility rule in the context of consideration of alternative explanations for six physical scenarios commonly found in introductory physics curricula. First, we administer free recall and recognition tasks to operationally establish and distinguish between the relative accessibility and availability of common explanations for the physical scenarios. Then, we offer either high or low accessibility explanations for the physical scenarios and determine the extent to which students consider alternatives to the given explanations. We find two main results consistent across algebra- and calculus-based university level introductory physics students for multiple answer formats. First, we find evidence that, at least for some contexts, most explanatory factors are cognitively available to students but not cognitively accessible. Second, we empirically verify the cognitive accessibility rule and demonstrate that the rule is strongly predictive, accounting for up to 70% of the variance of the average student consideration of alternative explanations across scenarios. Overall, we find that cognitive accessibility can help to explain biases in the consideration of alternatives in reasoning about simple physical scenarios, and these findings lend support to the growing number of science education studies demonstrating that tasks relevant to science education curricula often involve rapid, automatic, and potentially predictable processes and

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…

Work Habits of Students in Traditional and Online Sections of an Introductory Physics Course: A Case Study

ERIC Educational Resources Information Center

Kortemeyer, Gerd

2016-01-01

The study compares the work habits of two student groups in an introductory physics course, one in traditional and one in online sections. Both groups shared the same online materials and online homework, as well as the same discussion boards and examinations, but one group in addition had traditional lectures. The groups were compared with…

Peer Instruction in Introductory Physics: A Method to Bring about Positive Changes in Students' Attitudes and Beliefs

ERIC Educational Resources Information Center

Zhang, Ping; Ding, Lin; Mazur, Eric

2017-01-01

This paper analyzes pre-post matched gains in the epistemological views of science students taking the introductory physics course at Beijing Normal University (BNU) in China. In this study we examined the attitudes and beliefs of science majors (n = 441) in four classes, one taught using traditional (lecture) teaching methods, and the other three…

Energy and Matter: Differences in Discourse in Physical and Biological Sciences Can Be Confusing for Introductory Biology Students

ERIC Educational Resources Information Center

Hartley, Laurel M.; Momsen, Jennifer; Maskiewicz, April; D'Avanzo, Charlene

2012-01-01

Biology majors often take introductory biology, chemistry, and physics courses during their first two years of college. The various and sometimes conflicting discourse about and explanations of matter and energy in these courses may contribute to confusion and alternative conceptions (those that differ from scientific consensus) in biology…

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.

Examining the development of knowledge for teaching a novel introductory physics curriculum

NASA Astrophysics Data System (ADS)

Seung, Eulsun

The purpose of this study was to investigate how graduate physics teaching assistants (TAs) develop professional knowledge for teaching a new undergraduate introductory physics curriculum, Matter and Interactions (M&I ). M&I has recently been adopted as a novel introductory physics course that focuses on the application of a small number of fundamental physical principles on the atomic and molecular nature of matter. In this study, I examined the process of five TAs' development of knowledge for implementing the M&I course---from the time they engaged in an M&I content and methods workshop through their first semester as TAs for the course. Through a qualitative, multiple case study research design, data was collected from multiple sources: non-participant observations, digitally recorded video, semi-structured interviews, TAs' written reflections, and field notes. The data were analyzed using the constant comparative method. The TAs' knowledge for teaching M&I was identified in three domains: pedagogical content knowledge, pedagogical knowledge, and subject matter knowledge. First, the three components of TAs' pedagogical content knowledge were identified: knowledge of the goals of M&I, knowledge of instructional strategies, and knowledge of students' learning. Second, pedagogical knowledge that the TAs demonstrated during the study fell predominantly into the category of classroom management and organization. The knowledge of classroom management and organization was categorized into two components: time management skills and group composition. Last, the TAs' subject matter knowledge that they developed through their M&I teaching experience was described in terms of the conceptual structure of the M&I curriculum, the new approach of the M&I curriculum, and specific topic knowledge. The TAs' knowledge for teaching developed from propositional knowledge to personal practical knowledge, and the process of knowledge development consisted of three phases: accepting

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

Merging Old and New: An Instrumentation-Based Introductory Analytical Laboratory

ERIC Educational Resources Information Center

Jensen, Mark B.

2015-01-01

An instrumentation-based laboratory curriculum combining traditional unknown analyses with student-designed projects has been developed for an introductory analytical chemistry course. In the first half of the course, students develop laboratory skills and instrumental proficiency by rotating through six different instruments performing…

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…

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…

Model-Based Reasoning in the Physics Laboratory: Framework and Initial Results

ERIC Educational Resources Information Center

Zwickl, Benjamin M.; Hu, Dehui; Finkelstein, Noah; Lewandowski, H. J.

2015-01-01

We review and extend existing frameworks on modeling to develop a new framework that describes model-based reasoning in introductory and upper-division physics laboratories. Constructing and using models are core scientific practices that have gained significant attention within K-12 and higher education. Although modeling is a broadly applicable…

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.

Case of Two Electrostatics Problems: Can Providing a Diagram Adversely Impact Introductory Physics Students' Problem Solving Performance?

ERIC Educational Resources Information Center

Maries, Alexandru; Singh, Chandralekha

2018-01-01

Drawing appropriate diagrams is a useful problem solving heuristic that can transform a problem into a representation that is easier to exploit for solving it. One major focus while helping introductory physics students learn effective problem solving is to help them understand that drawing diagrams can facilitate problem solution. We conducted an…

Cognitive Transfer Outcomes for a Simulation-Based Introductory Statistics Curriculum

ERIC Educational Resources Information Center

Backman, Matthew D.; Delmas, Robert C.; Garfield, Joan

2017-01-01

Cognitive transfer is the ability to apply learned skills and knowledge to new applications and contexts. This investigation evaluates cognitive transfer outcomes for a tertiary-level introductory statistics course using the CATALST curriculum, which exclusively used simulation-based methods to develop foundations of statistical inference. A…

Model-based reasoning in the physics laboratory: Framework and initial results

NASA Astrophysics Data System (ADS)

Zwickl, Benjamin M.; Hu, Dehui; Finkelstein, Noah; Lewandowski, H. J.

2015-12-01

[This paper is part of the Focused Collection on Upper Division Physics Courses.] We review and extend existing frameworks on modeling to develop a new framework that describes model-based reasoning in introductory and upper-division physics laboratories. Constructing and using models are core scientific practices that have gained significant attention within K-12 and higher education. Although modeling is a broadly applicable process, within physics education, it has been preferentially applied to the iterative development of broadly applicable principles (e.g., Newton's laws of motion in introductory mechanics). A significant feature of the new framework is that measurement tools (in addition to the physical system being studied) are subjected to the process of modeling. Think-aloud interviews were used to refine the framework and demonstrate its utility by documenting examples of model-based reasoning in the laboratory. When applied to the think-aloud interviews, the framework captures and differentiates students' model-based reasoning and helps identify areas of future research. The interviews showed how students productively applied similar facets of modeling to the physical system and measurement tools: construction, prediction, interpretation of data, identification of model limitations, and revision. Finally, we document students' challenges in explicitly articulating assumptions when constructing models of experimental systems and further challenges in model construction due to students' insufficient prior conceptual understanding. A modeling perspective reframes many of the seemingly arbitrary technical details of measurement tools and apparatus as an opportunity for authentic and engaging scientific sense making.

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…

Improving the Teaching of Science through Discipline-Based Education Research: An Example from Physics

ERIC Educational Resources Information Center

McDermott, Lillian C.

2013-01-01

Research on the learning and teaching of science is an important field for scholarly inquiry by faculty in science departments. Such research has proved to be an efficient means for improving the effectiveness of instruction in physics. A basic topic in introductory physics is used to illustrate how discipline-based education research has helped…

Conceptual physics differences by pedagogy and gender: Questioning the deficit model

NASA Astrophysics Data System (ADS)

Majors, Twanelle Deann Walker

The differences in physics performance between males and females have been studied extensively (Blue & Heller, 2003; Coletta, 2015; Madsen, McKagan, & Sayre 2013; McCullough, 2002, 2004, 2011; Pollock, Finkelstein, & Kost, 2007; Zohar & Sela, 2003). The purpose of this study was to look at the ways teaching methods and assessment choices have fabricated a gender gap. Deficit ways of thinking have further marginalized women by renegotiating prior acts of power that initiated and perpetuated marginalization. Outside of the deficit model, the blame for the underperformance of females has been attributed to discourses of power as well as less-than-critical ways of evaluating learning and schooling. Students in introductory algebra-based physics courses from 2008-2014 at Tennessee Technological University were self-enrolled in PHYS2010 sections that were taught using either a traditional or constructivist, interactive-engagement Learner-centered Environment for Algebra-based Physics (LEAP) pedagogy. Propensity scoring on all feasible and relevant independent variables was used to adjust for the probability of students choosing either LEAP or traditional sections. The Force Concept Inventory (FCI) and Gender Force Concept Inventory (GFCI) were used as the measures to gauge students' performance on physics concepts. The results showed that there were no differences in the FCI or GFCI performance of males and females. Results also showed that when accounting for pretest performance and the likelihood of choosing a LEAP section, LEAP pedagogy accounted for roughly 30% of performance differences. Not only was this true on the average, it was true for both genders. This meant that the main effect of LEAP pedagogy was even stronger and more generalizable. Gender did not moderate pedagogy, indicating that a pedagogy gap focus was more appropriate for evaluating physics learners.

The educational and financial impact of using patient educators to teach introductory physical exam skills.

PubMed

Allen, Sharon S; Miller, Jane; Ratner, Edward; Santilli, Jamie

2011-01-01

Physical exam skills are essential to core competencies for physicians in training. It is increasingly difficult to secure time and funding for physician faculty to teach these critical skills. This study was designed to determine whether Patient Educators (PE) (non-physician instructors) in an introductory clinical medicine (ICM) course (1) were as effective as physician faculty in teaching the physical exam, (2) impacted consistency of student performance on a final practical exam, and (3) whether this model was cost effective. PE were introduced into an ICM course at the University of Minnesota from 2006 to 2008. Each year, students' physical exam competencies were evaluated by a performance-based head-to-toe examination and 6 months later by an objective structured clinical examination (OSCE). Differences in test scores between years and variability (i.e., consistency) among yearly scores were assessed. The cost per student was calculated by considering a stable compensation cost per hour for the required number of physician faculty, standardized patients, and PE in each year. Mean student performance was statistically lower with PE, but only by two percentage points. The amount of variation within the medical student classes' physical exam skills remained stable as the use of PE expanded. Total educator salary costs per student declined from $449 in 2006 to $196 in 2008. In terms of sustainability and student performance, the use of trained lay educators has equivalent outcomes and is less costly for physical exam instruction in the pre-clinical years.

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.

Measuring Student Effort and Engagement in an Introductory Physics Course

NASA Astrophysics Data System (ADS)

Bonham, Scott

2007-11-01

Multiple scales reflecting student effort were developed using factor and scale analysis on data from an introductory physics course. This data included interactions with an on-line homework system. One of the scales displays many characteristics of a metric of the individual level of engagement in the course. This scale is shown to be a good predictor of performance on class exams and the Force Concept Inventory (FCI). Furthermore, normalized learning gains on the FCI are well predicted by this scale while pre-instructional FCI scores provide no additional predictive ability, agreeing with observations by Richard Hake. This scale also correlates strongly with epistemological beliefs that learning is related to effort and is the responsibility of the student. The factors that enter into this scale, writing and mastering expert-like problem-solving, are consistent with this being a measure of individual levels of class engagement.

Making Sense of Confusion: Relating Performance, Confidence, and Self-Efficacy to Expressions of Confusion in an Introductory Physics Class

ERIC Educational Resources Information Center

Dowd, Jason E.; Araujo, Ives; Mazur, Eric

2015-01-01

Although confusion is generally perceived to be negative, educators dating as far back as Socrates, who asked students to question assumptions and wrestle with ideas, have challenged this notion. Can confusion be productive? How should instructors interpret student expressions of confusion? During two semesters of introductory physics that…

Supplementing Introductory Biology with On-Line Curriculum

ERIC Educational Resources Information Center

McGroarty, Estelle; Parker, Joyce; Heidemann, Merle; Lim, Heejun; Olson, Mark; Long, Tammy; Merrill, John; Riffell, Samuel; Smith, James; Batzli, Janet; Kirschtel, David

2004-01-01

We developed web-based modules addressing fundamental concepts of introductory biology delivered through the LON-CAPA course management system. These modules were designed and used to supplement large, lecture-based introductory biology classes. Incorporating educational principles and the strength of web-based instructional technology, choices…

Lunatics in Introductory Physics: Using Collectivized Student Moon Position Observations To Teach Basic Orbital Mechanics In Calculus Based Introductory Physics.

NASA Astrophysics Data System (ADS)

Bottorff, Mark

2012-01-01

A large (74 student) calculus based physics class was required to make observations of the moon over two lunar cycles using a small telescope equipped with mechanical setting circles. The data was collectivized and then analyzed in the laboratory to determine the period of the moon and to search for evidence of the eccentricity of the moon's orbit. These results were used in conjunction with the simple pendulum experiment in which the students inferred the acceleration due to gravity. The student inferred lunar orbital period and acceleration due to gravity (augmented with the radius of the Earth) enabled the students to infer the average Earth to moon distance. Class lectures, activities, and homework on gravitation and orbits were tailored to this observational activity thereby forming a learning module. A basic physics and orbital mechanics knowledge questionnaire was administered before and after the learning module. The resulting learning gains are reported here.

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.

A Method for Using Adjacency Matrices to Analyze the Connections Students Make within and between Concepts: The Case of Linear Algebra

ERIC Educational Resources Information Center

Selinski, Natalie E.; Rasmussen, Chris; Wawro, Megan; Zandieh, Michelle

2014-01-01

The central goals of most introductory linear algebra courses are to develop students' proficiency with matrix techniques, to promote their understanding of key concepts, and to increase their ability to make connections between concepts. In this article, we present an innovative method using adjacency matrices to analyze students' interpretation…

A Problem-Based Learning Approach to Teaching Introductory Soil Science

ERIC Educational Resources Information Center

Amador, Jose A.; Gorres, Josef H.

2004-01-01

At most land-grant universities in the USA, Introduction to Soil Science is traditionally taught using a combination of lecture and laboratory formats. To promote engagement, improve comprehension, and enhance retention of content by students, we developed a problem-based learning (PBL) introductory soil science course. Students work in groups to…

The Effects of Peer Instruction on Students' Conceptual Learning and Motivation

ERIC Educational Resources Information Center

Gok, Tolga

2012-01-01

The aim of this study was to investigate the effects of peer instruction on college students' conceptual learning, motivation, and self-efficacy in an algebra-based introductory physics course for nonmajors. Variables were studied via a quasi-experiment, Solomon four-group design on 123 students. Treatment groups were taught by peer 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.

Alignment of TAs' beliefs with practice and student perception

NASA Astrophysics Data System (ADS)

Chini, Jacquelyn J.; Al-Rawi, Ahlam

2013-01-01

Graduate teaching assistants (TAs) play an important role in introductory physics courses, particularly in large enrollment courses where the TA may be viewed as more approachable and accessible than the lecture instructor. Thus, while TAs may still be in the process of developing their views on teaching physics, their practices directly influence a large number of introductory students. As the first steps in reforming our introductory courses and TA training program, we collected multiple types of data on TAs teaching in traditional algebra-based physics laboratories. Drawing on prior work on TAs' pedagogical knowledge, we explore how the beliefs expressed by TAs in interviews align with their practices during a laboratory video-taped mid-semester. Additionally, we explore how both the TAs' expressed beliefs and practices align with students' responses to an end-of-semester TA evaluation survey.

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.

Development and Calibration of a Concept Inventory to Measure Introductory College Astronomy and Physics Students' Understanding of Newtonian Gravity

ERIC Educational Resources Information Center

Williamson, Kathryn Elizabeth

2013-01-01

The topic of Newtonian gravity offers a unique vantage point from which to investigate and encourage conceptual change because it is something with which everyone has daily experience, and because it is taught in two courses that reach a wide variety of students--introductory-level college astronomy ("Astro 101") and physics ("Phys…

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…

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.

Assessing student written problem solutions: A problem-solving rubric with application to introductory physics

NASA Astrophysics Data System (ADS)

Docktor, Jennifer L.; Dornfeld, Jay; Frodermann, Evan; Heller, Kenneth; Hsu, Leonardo; Jackson, Koblar Alan; Mason, Andrew; Ryan, Qing X.; Yang, Jie

2016-06-01

Problem solving is a complex process valuable in everyday life and crucial for learning in the STEM fields. To support the development of problem-solving skills it is important for researchers and curriculum developers to have practical tools that can measure the difference between novice and expert problem-solving performance in authentic classroom work. It is also useful if such tools can be employed by instructors to guide their pedagogy. We describe the design, development, and testing of a simple rubric to assess written solutions to problems given in undergraduate introductory physics courses. In particular, we present evidence for the validity, reliability, and utility of the instrument. The rubric identifies five general problem-solving processes and defines the criteria to attain a score in each: organizing problem information into a Useful Description, selecting appropriate principles (Physics Approach), applying those principles to the specific conditions in the problem (Specific Application of Physics), using Mathematical Procedures appropriately, and displaying evidence of an organized reasoning pattern (Logical Progression).

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.

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.

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.

Implementing 'The Math You Need' in an Introductory Physical Geology Course at California State University East Bay

NASA Astrophysics Data System (ADS)

Moran, J. E.

2011-12-01

The wide range of abilities in the student population at California State University East Bay, with a significant fraction of students under-prepared and requiring mathematics remediation, is a challenge to including mathematical concepts and exercises in our introductory geoscience courses. Student expectations that a geoscience course will not include quantitative work may result in math-phobics choosing the course and resisting quantitative work when presented with it. Introductory courses that are required for Geology and Environmental Science majors are also designated as General Education, which gives rise to a student group with a wide range of abilities and expectations. This presentation will focus on implementation of a series of online math tutorials for students in introductory geoscience courses called 'The Math You Need' (TMYN; http://serc.carleton.edu/mathyouneed/index.html). The program is implemented in a Physical Geology course, in which 2/3 of the students are typically non-majors. The Physical Geology course has a three hour lab each week and the lab exercises and lab manual offer several opportunities for application of TMYN. Many of the lab exercises include graphing, profiling, working with map scales, converting units, or using equations to calculate some parameter or solve for an unknown. Six TMYN modules covering topics using density calculations as applied to mineral properties and isostasy, graphing as applied to rock properties, earthquake location, and radiometric dating, and calculation of rates as applied to plate movement, stream discharge, and groundwater flow, are assigned as pre-labs to be completed before lab classes. TMYN skills are reinforced during lectures and lab exercises, as close in time as possible to students' exposure via TMYN. Pre- and post-tests give a measure of the effectiveness of TMYN in improving students' quantitative literacy.

Framework and implementation for improving physics essential skills via computer-based practice: Vector math

NASA Astrophysics Data System (ADS)

Mikula, Brendon D.; Heckler, Andrew F.

2017-06-01

We propose a framework for improving accuracy, fluency, and retention of basic skills essential for solving problems relevant to STEM introductory courses, and implement the framework for the case of basic vector math skills over several semesters in an introductory physics course. Using an iterative development process, the framework begins with a careful identification of target skills and the study of specific student difficulties with these skills. It then employs computer-based instruction, immediate feedback, mastery grading, and well-researched principles from cognitive psychology such as interleaved training sequences and distributed practice. We implemented this with more than 1500 students over 2 semesters. Students completed the mastery practice for an average of about 13 min /week , for a total of about 2-3 h for the whole semester. Results reveal large (>1 SD ) pretest to post-test gains in accuracy in vector skills, even compared to a control group, and these gains were retained at least 2 months after practice. We also find evidence of improved fluency, student satisfaction, and that awarding regular course credit results in higher participation and higher learning gains than awarding extra credit. In all, we find that simple computer-based mastery practice is an effective and efficient way to improve a set of basic and essential skills for introductory physics.

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

Retention of Statistical Concepts in a Preliminary Randomization-Based Introductory Statistics Curriculum

ERIC Educational Resources Information Center

Tintle, Nathan; Topliff, Kylie; VanderStoep, Jill; Holmes, Vicki-Lynn; Swanson, Todd

2012-01-01

Previous research suggests that a randomization-based introductory statistics course may improve student learning compared to the consensus curriculum. However, it is unclear whether these gains are retained by students post-course. We compared the conceptual understanding of a cohort of students who took a randomization-based curriculum (n = 76)…

Autonomy and the Student Experience in Introductory Physics

NASA Astrophysics Data System (ADS)

Hall, Nicholas Ron

The role of autonomy in the student experience in a large-enrollment undergraduate introductory physics course was studied from a Self-Determination Theory perspective with two studies. Study I, a correlational study, investigated whether certain aspects of the student experience correlated with how autonomy supportive (vs. controlling) students perceived their instructors to be. An autonomy supportive instructor acknowledges students' perspectives, feelings, and perceptions and provides students with information and opportunities for choice, while minimizing external pressures. 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 (beta=0.31***) and negatively correlated with student anxiety about taking physics (beta=-0.23**). It was also positively correlated with how autonomous (vs. controlled) students' reasons for studying physics became over the duration of the course (i.e., studying physics more because they wanted to vs. had to; beta=0.24***). This change in autonomous reasons for studying physics was in turn positively correlated with student performance in the course (beta=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 (beta=0.25**). In summary, students who perceived their instructors as more autonomy supportive tended to have a more favorable experience in the course. If greater autonomy support was in fact the cause of a more favorable student experience, as suggested by Self-determination Theory and experimental studies in other contexts, these results would have implications for instruction and instructor professional development in similar contexts. I discuss these implications. Study II, an experimental study, investigated the effect

A Coherent Content Storyline Approach for Introductory Astronomy

NASA Astrophysics Data System (ADS)

Palma, Christopher; Flarend, A.; McDonald, S.; Kregenow, J. M.

2014-01-01

The Earth and Space Science Partnership (ESSP) is a collaboration among Penn State scientists, science educators and seven school districts across Pennsylvania. Part of the multi-faceted ESSP effort includes revising the curriculum of university science classes known to be taken by large numbers of elementary pre-service teachers. By adopting research-based pedagogical approaches in our courses, we hope to expose these pre-service teachers to excellent examples of science teaching. In this presentation, we will discuss changes made in a pilot study to one section of our introductory astronomy survey course. There have been many articles published in the Astronomy Education Review and elsewhere that detail research-based pedagogical practices for introductory astronomy courses. Many of those practices (such as from the Center for Astronomy Education) have been incorporated into introductory astronomy courses at Penn State. However, our work with middle-grades teachers in the ESSP project is based on two key practices: a Claims, Evidence, and Reasoning (CER) framework (McNeill & Krajcik 2012) and a coherent science content storyline (Roth,et. al., 2011). As a first step in modeling these practices in our University courses, we reorganized our Astro course using a content storyline approach. We plan to incorporate CER activities into the course next year that advance the storyline described. In this poster, we present the storyline developed by our team, which we believe was successful in its pilot, and was built around a conceptually coherent presentation of the diverse set of phenomena typical of an introductory astronomy course. We adopted as our main learning goal a statement based on the cosmological principle that the physical laws throughout the Universe are identical everywhere. In addition, we organized the class schedule to connect the work done in each class to this storyline. We suggest that a coherent content storyline is a useful tool for others who

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…

NUCLEAR SCIENCE, AN INTRODUCTORY COURSE.

ERIC Educational Resources Information Center

SULCOSKI, JOHN W.

THIS CURRICULUM GUIDE DESCRIBES A TWELFTH-GRADE INTERDISCIPLINARY, INTRODUCTORY NUCLEAR SCIENCE COURSE. IT IS BELIEVED TO FILL THE NEED FOR AN ADVANCED COURSE THAT IS TIMELY, CHALLENGING, AND APPROPRIATE AS A SEQUENTIAL ADDITION TO THE BIOLOGY-CHEMISTRY-PHYSICS SEQUENCE. PRELIMINARY INFORMATION COVERS SUCH MATTERS AS (1) RADIOISOTOPE WORK AREAS,…

Surveying Turkish high school and university students' attitudes and approaches to physics problem solving

NASA Astrophysics Data System (ADS)

Balta, Nuri; Mason, Andrew J.; Singh, Chandralekha

2016-06-01

Students' attitudes and approaches to physics problem solving can impact how well they learn physics and how successful they are in solving physics problems. Prior research in the U.S. using a validated Attitude and Approaches to Problem Solving (AAPS) survey suggests that there are major differences between students in introductory physics and astronomy courses and physics experts in terms of their attitudes and approaches to physics problem solving. Here we discuss the validation, administration, and analysis of data for the Turkish version of the AAPS survey for high school and university students in Turkey. After the validation and administration of the Turkish version of the survey, the analysis of the data was conducted by grouping the data by grade level, school type, and gender. While there are no statistically significant differences between the averages of various groups on the survey, overall, the university students in Turkey were more expertlike than vocational high school students. On an item by item basis, there are statistically differences between the averages of the groups on many items. For example, on average, the university students demonstrated less expertlike attitudes about the role of equations and formulas in problem solving, in solving difficult problems, and in knowing when the solution is not correct, whereas they displayed more expertlike attitudes and approaches on items related to metacognition in physics problem solving. A principal component analysis on the data yields item clusters into which the student responses on various survey items can be grouped. A comparison of the responses of the Turkish and American university students enrolled in algebra-based introductory physics courses shows that on more than half of the items, the responses of these two groups were statistically significantly different, with the U.S. students on average responding to the items in a more expertlike manner.

Use of Bratwurst Sausage as a Model Cadaver in Introductory Physics for the Life Sciences Lab Experiments

NASA Astrophysics Data System (ADS)

Sidebottom, David

2015-09-01

The general physics course that is taught in most departments as a service course for pre-med or pre-health students is undergoing a large shift in course content to better appeal to this group of learners. This revision also extends to the laboratory component, where more emphasis is being placed on teaching physics through biological examples. Here, two undergraduate-level lab experiments, one dealing with buoyancy and the other with heat transfer, are described. The two labs were designed specifically to appeal to pre-med students taking introductory physics, and their novelty arises from the use of a bratwurst sausage as a miniature model cadaver. Results suggest that the sausage provides a suitable approximation to the mass density and thermal properties of the human body.

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.

Student reasoning about ratio and proportion in introductory physics

NASA Astrophysics Data System (ADS)

Boudreaux, Andrew

2012-02-01

To many students, introductory physics must seem a fast-moving parade of abstract and somewhat mysterious quantities. Most such quantities are rooted in proportional reasoning. Using ratio, physicists construct the force experienced by a unit charge, and attach the name electric field, or characterize a motion with the velocity change that occurs in a unit time. While physicists reason about these ratios without conscious effort, students tend to resort to memorized algorithms, and at times struggle to match the appropriate algorithm to the situation encountered. Although the term ``proportional reasoning'' is prevalent, skill in reasoning with these ratio quantities is neither acquired nor applied as a single cognitive entity. Expert ability seems to be characterized by the intentional use of a variety of components, or elements of proportional reasoning, by a fluency in shifting from one component to another, and by a skill in selecting from among these components. Based on this perspective, it is natural to expect students to develop proportional reasoning ability in fits and starts as various facets are acquired and integrated into existing understandings. In an ongoing collaboration between Western Washington University, New Mexico State University, and Rutgers, we are attempting to map the rich cognitive terrain of proportional reasoning, and to use our findings to guide the design of instruction that develops fluency. This talk will present a provisional set of proportional reasoning components, along with research tasks that have been developed to measure student ability along these components. Student responses will be presented as evidence of specific modes of thinking. The talk will conclude with a brief outline of our approach to improving student understanding.

Student Blogging about Physics

NASA Astrophysics Data System (ADS)

Daniels, Karen E.

2010-09-01

In traditional introductory physics classes, there is often limited opportunity for students to contribute their own ideas, interests, and experiences as they engage with the subject matter. This situation is exacerbated in university lecture-format classes, where students may not feel comfortable speaking during class. In the last few years, Internet blogs have become a decentralized format for diarists, independent journalists, and opinion makers to both post entries and allow commentary from their readers. Below, I will describe some techniques for using student blogging about physics to engage students from two different classroom environments: a calculus-based introductory mechanics class for scientists and engineers, and an honors seminar for first-year students. These assignments required them to make their own connections between classroom knowledge and situations where it might find applications. A second goal of including blogging in the introductory physics course was to induce students to write about the physics content of the class in a more substantive way than was previously part of the class.

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.

Using Video Analysis and Biomechanics to Engage Life Science Majors in Introductory Physics

NASA Astrophysics Data System (ADS)

Stephens, Jeff

There is an interest in Introductory Physics for the Life Sciences (IPLS) as a way to better engage students in what may be their only physical science course. In this talk I will present some low cost and readily available technologies for video analysis and how they have been implemented in classes and in student research projects. The technologies include software like Tracker and LoggerPro for video analysis and low cost high speed cameras for capturing real world events. The focus of the talk will be on content created by students including two biomechanics research projects performed over the summer by pre-physical therapy majors. One project involved assessing medial knee displacement (MKD), a situation where the subject's knee becomes misaligned during a squatting motion and is a contributing factor in ACL and other knee injuries. The other project looks at the difference in landing forces experienced by gymnasts and cheer-leaders while performing on foam mats versus spring floors. The goal of this talk is to demonstrate how easy it can be to engage life science majors through the use of video analysis and topics like biomechanics and encourage others to try it for themselves.

Evolution of Student Knowledge in a Traditional Introductory Classroom

NASA Astrophysics Data System (ADS)

Sayre, Eleanor C.; Heckler, Andrew F.

2008-10-01

In the physics education research community, a common format for evaluation is pre- and post-tests. In this study, we collect student test data many times throughout a course, allowing for the measurement of the changes of student knowledge with a time resolution on the order of a few days. The data cover the first two quarters (mechanics, E&M) of a calculus-based introductory sequence populated primarily by first- and second-year engineering majors. To avoid the possibility of test-retest effects, separate and quasi-random subpopulations of students are evaluated every week of the quarter on a variety of tasks. Unsurprisingly for a traditional introductory course, there is little change on many conceptual questions. However, the data suggest that some student ideas peak and decay rapidly during a quarter, a pattern consistent with memory research yet unmeasurable by pre-/post-testing.

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.

Student effort expectations and their learning in first-year introductory physics: A case study in Thailand

NASA Astrophysics Data System (ADS)

Wutchana, U.; Emarat, N.

2011-06-01

The Maryland Physics Expectations (MPEX) survey was designed to probe students’ expectations about their understanding of the process of learning physics and the structure of physics knowledge—cognitive expectations. This survey was administered to first-year university students in Thailand in the first semester of an introductory calculus-based physics course during academic years 2007 and 2008, to assess their expectations at the beginning of the course. The precourse MPEX results were compared and correlated with two separate measures of student learning: (1) individual students’ normalized gains from pre and post Force and Motion Conceptual Evaluation (FMCE) results, which measure students’ conceptual understanding, and (2) student’s scores on the final exam, which measure their more general problem-solving ability. The results showed a significant positive correlation between their overall MPEX score and five of the six MPEX cluster scores, with their normalized learning gains on the FMCE for both academic years. The results also showed significant positive correlations between student MPEX scores and their final exam scores for the overall MPEX score and all MPEX cluster scores except for the effort cluster. We interviewed two groups of five students each, one group with small favorable scores on the precourse MPEX effort cluster and one with high favorable scores on the precourse MPEX effort cluster, to see how the students’ learning efforts compared with their MPEX results. We concluded from the interviews that what the students think or expect about the MPEX effort involved in learning physics does not match what they actually do.

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,…

Active Learning Strategies for Introductory Light and Optics

NASA Astrophysics Data System (ADS)

Sokoloff, David R.

2016-01-01

There is considerable evidence that traditional approaches are ineffective in teaching physics concepts, including light and optics concepts. A major focus of the work of the Activity Based Physics Group has been on the development of active learning curricula like RealTime Physics (RTP) labs and Interactive Lecture Demonstrations (ILDs). Among the characteristics of these curricula are: (1) use of a learning cycle in which students are challenged to compare predictions—discussed with their peers in small groups—to observations of the physical world, (2) use of guided hands-on work to construct basic concepts from observations, and (3) use of computer-based tools. It has been possible to change the lecture and laboratory learning environments at a large number of universities, colleges, and high schools without changing the structure of the introductory course. For example, in the United States, nearly 200 physics departments have adopted RTP, and many others use pre-publication, open-source versions or have adopted the RTP approach to develop their own labs. Examples from RTP and ILDs (including optics magic tricks) are described in this paper.

Conceptual Mobility and Entrenchment in Introductory Geoscience Courses: New Questions Regarding Physics' and Chemistry's Role in Learning Earth Science Concepts

ERIC Educational Resources Information Center

Anderson, Steven W.; Libarkin, Julie C.

2016-01-01

Nationwide pre- and posttesting of introductory courses with the Geoscience Concept Inventory (GCI) shows little gain for many of its questions. Analysis of more than 3,500 tests shows that 22 of the 73 GCI questions had gains of <0.03, and nearly half of these focused on basic physics and chemistry. We also discovered through an assessment of…

Special Relativity and Magnetism in an Introductory Physics Course

ERIC Educational Resources Information Center

Piccioni, R. G.

2007-01-01

Too often, students in introductory courses are left with the impression that Einstein's special theory of relativity comes into play only when the relative speed of two objects is an appreciable fraction of the speed of light ("c"). In fact, relativistic length contraction, along with Coulomb's law, accounts quantitatively for the force on a…

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

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.

The effect of introducing computers into an introductory physics problem-solving laboratory

NASA Astrophysics Data System (ADS)

McCullough, Laura Ellen

2000-10-01

Computers are appearing in every type of classroom across the country. Yet they often appear without benefit of studying their effects. The research that is available on computer use in classrooms has found mixed results, and often ignores the theoretical and instructional contexts of the computer in the classroom. The University of Minnesota's physics department employs a cooperative-group problem solving pedagogy, based on a cognitive apprenticeship instructional model, in its calculus-based introductory physics course. This study was designed to determine possible negative effects of introducing a computerized data-acquisition and analysis tool into this pedagogy as a problem-solving tool for students to use in laboratory. To determine the effects of the computer tool, two quasi-experimental treatment groups were selected. The computer-tool group (N = 170) used a tool, designed for this study (VideoTool), to collect and analyze motion data in the laboratory. The control group (N = 170) used traditional non-computer equipment (spark tapes and Polaroid(TM) film). The curriculum was kept as similar as possible for the two groups. During the ten week academic quarter, groups were examined for effects on performance on conceptual tests and grades, attitudes towards the laboratory and the laboratory tools, and behaviors within cooperative groups. Possible interactions with gender were also examined. Few differences were found between the control and computer-tool groups. The control group received slightly higher scores on one conceptual test, but this difference was not educationally significant. The computer-tool group had slightly more positive attitudes towards using the computer tool than their counterparts had towards the traditional tools. The computer-tool group also perceived that they spoke more frequently about physics misunderstandings, while the control group felt that they discussed equipment difficulties more often. This perceptual difference interacted

Workshop Physics Activity Guide, Module 4: Electricity and Magnetism

NASA Astrophysics Data System (ADS)

Laws, Priscilla W.

2004-05-01

The Workshop Physics Activity Guide is a set of student workbooks designed to serve as the foundation for a two-semester calculus-based introductory physics course. It consists of 28 units that interweave text materials with activities that include prediction, qualitative observation, explanation, equation derivation, mathematical modeling, quantitative experiments, and problem solving. Students use a powerful set of computer tools to record, display, and analyze data, as well as to develop mathematical models of physical phenomena. The design of many of the activities is based on the outcomes of physics education research. The Workshop Physics Activity Guide is supported by an Instructor's Website that: (1) describes the history and philosophy of the Workshop Physics Project; (2) provides advice on how to integrate the Guide into a variety of educational settings; (3) provides information on computer tools (hardware and software) and apparatus; and (4) includes suggested homework assignments for each unit. Log on to the Workshop Physics Project website at http://physics.dickinson.edu/ Workshop Physics is a component of the Physics Suite--a collection of materials created by a group of educational reformers known as the Activity Based Physics Group. The Physics Suite contains a broad array of curricular materials that are based on physics education research, including:

Understanding Physics, by Cummings, Laws, Redish and Cooney (an introductory textbook based on the best-selling text by Halliday/Resnick/Walker) RealTime Physics Laboratory Modules Physics by Inquiry (intended for use in a workshop setting) Interactive Lecture Demonstration Tutorials in Introductory Physics Activity Based Tutorials (designed primarily for use in recitations)

• 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 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.

• 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.

• ZAP! Adapted: Incorporating design in the introductory electromagnetism lab

  NASA Astrophysics Data System (ADS)

  McNeil, J. A.

  2002-04-01

  In the last decade the Accreditation Board of Engineering and Technology(ABET) significantly reformed the criteria by which engineering programs are accredited. The new criteria are called Engineering Criteria 2000 (EC2000). Not surprisingly, engineering design constitutes an essential component of these criteria. The Engineering Physics program at the Colorado School of Mines (CSM) underwent an ABET general review and site visit in the fall of 2000. In preparation for this review and as part of a campus-wide curriculum reform the Physics Department was challenged to include elements of design in its introductory laboratories. As part of the background research for this reform, several laboratory programs were reviewed including traditional and studio modes as well as a course used by Cal Tech and MIT called "ZAP!" which incorporates design activities well-aligned with the EC2000 criteria but in a nontraditional delivery mode. CSM has adapted several ZAP! experiments to a traditional laboratory format while attempting to preserve significant design experiences. The new laboratory forms an important component of the reformed course which attempts to respect the psychological principles of learner-based education. This talk reviews the reformed introductory electromagnetism course and how the laboratories are integrated into the pedagogy along with design activities. In their new form the laboratories can be readily adopted by physics departments using traditional delivery formats.

• RealTime Physics: Active learning laboratory

  NASA Astrophysics Data System (ADS)

  Thornton, Ronald K.; Sokoloff, David R.

  1997-03-01

  Our research shows that student learning of physics concepts in introductory physics courses is enhanced by the use of special guided discovery laboratory curricula which embody the results of educational research and which are supported by the use of the Tools for Scientific Thinking microcomputer-based laboratory (MBL) tools. In this paper we first describe the general characteristics of the research-based RealTime Physics laboratory curricula developed for use in introductory physics classes in colleges, universities and high schools. We then describe RealTime Physics Mechanics in detail. Finally we examine student learning of dynamics in traditional physics courses and in courses using RealTime Physics Mechanics, primarily by the use of correlated questions on the Force and Motion Conceptual Evaluation. We present considerable evidence that students who use the new laboratory curricula demonstrate significantly improved learning and retention of dynamics concepts compared to students taught by traditional methods.

• Using ``Student Technology'' in Introductory Physics: A Comparison of Three Tools to Study Falling Objects

  NASA Astrophysics Data System (ADS)

  Saraiva da Rocha, Fábio; Fajardo, Fabio; Grisolía, Maricarmen; Benegas, Julio; Tchitnga, Robert; Laws, Priscilla

  2011-03-01

  Being able to facilitate effective hands-on laboratory experiences in introductory physics courses is a challenging task, even when contemporary laboratory facilities, equipment, and new technologies for data collection and analysis are available. At institutions without adequate resources, especially those in developing countries, we have found that the problem of providing effective laboratory experiences is especially daunting for at least two reasons: 1) the lack of equipment and contemporary measuring devices; and 2) even at institutions that have some laboratory equipment, students who have access to cell phones with digital timing and video capabilities or inexpensive digital cameras are bored with trying to use "old-fashioned" apparatus for measurements.

• 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.

• 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.

Sources of student engagement in Introductory Physics for Life Sciences

NASA Astrophysics Data System (ADS)

Geller, Benjamin D.; Turpen, Chandra; Crouch, Catherine H.

2018-06-01

We explore the sources of student engagement with curricular content in an Introductory Physics for Life Science (IPLS) course at Swarthmore College. Do IPLS students find some life-science contexts more interesting than others, and, if so, what are the sources of these differences? We draw on three sources of student data to answer this question: (1) quantitative survey data illustrating how interested students were in particular contexts from the curriculum, (2) qualitative survey data in which students describe the source of their interest in these particular contexts, and (3) interview data in which students reflect on the contexts that were and were not of interest to them. We find that examples that make interdisciplinary connections with students' other coursework in biology and chemistry, and examples that make connections to what students perceive to be the "real world," are particularly effective at fostering interest. More generally, students describe being deeply engaged with contexts that foster a sense of coherence or have personal meaning to them. We identify various "engagement pathways" by which different life-science students engage with IPLS content, and suggest that a curriculum needs to be flexible enough to facilitate these different pathways.

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…

Assessing students' conceptual knowledge of electricity and magnetism

NASA Astrophysics Data System (ADS)

McColgan, Michele W.; Finn, Rose A.; Broder, Darren L.; Hassel, George E.

2017-12-01

We present the Electricity and Magnetism Conceptual Assessment (EMCA), a new assessment aligned with second-semester introductory physics courses. Topics covered include electrostatics, electric fields, circuits, magnetism, and induction. We have two motives for writing a new assessment. First, we find other assessments such as the Brief Electricity and Magnetism Assessment and the Conceptual Survey on Electricity and Magnetism not well aligned with the topics and content depth of our courses. We want to test introductory physics content at a level appropriate for our students. Second, we want the assessment to yield scores and gains comparable to the widely used Force Concept Inventory (FCI). After five testing and revision cycles, the assessment was finalized in early 2015 and is available online. We present performance results for a cohort of 225 students at Siena College who were enrolled in our algebra- and calculus-based physics courses during the spring 2015 and 2016 semesters. We provide pretest, post-test, and gain analyses, as well as individual question and whole test statistics to quantify difficulty and reliability. In addition, we compare EMCA and FCI scores and gains, and we find that students' FCI scores are strongly correlated with their performance on the EMCA. Finally, the assessment was piloted in an algebra-based physics course at George Washington University (GWU). We present performance results for a cohort of 130 GWU students and we find that their EMCA scores are comparable to the scores of students in our calculus-based physics course.

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.

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,…

Comparing the efficacy of multimedia modules with traditional textbooks for learning introductory physics content

NASA Astrophysics Data System (ADS)

Stelzer, Timothy; Gladding, Gary; Mestre, José P.; Brookes, David T.

2009-02-01

We compared the efficacy of multimedia learning modules with traditional textbooks for the first few topics of a calculus-based introductory electricity and magnetism course. Students were randomly assigned to three groups. One group received the multimedia learning module presentations, and the other two received the presentations via written text. All students were then tested on their learning immediately following the presentations as well as 2weeks later. The students receiving the multimedia learning modules performed significantly better on both tests than the students experiencing the text-based presentations.

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

Effectiveness of Tutorials for Introductory Physics in Argentinean high schools

NASA Astrophysics Data System (ADS)

Benegas, J.; Flores, J. Sirur

2014-06-01

This longitudinal study reports the results of a replication of Tutorials in Introductory Physics in high schools of a Latin-American country. The main objective of this study was to examine the suitability of Tutorials for local science education reform. Conceptual learning of simple resistive electric circuits was determined by the application of the single-response multiple-choice test "Determining and Interpreting Resistive Electric Circuits Concepts Test" (DIRECT) to high school classes taught with Tutorials and traditional instruction. The study included state and privately run schools of different socioeconomic profiles, without formal laboratory space and equipment, in classes of mixed-gender and female-only students, taught by novice and experienced instructors. Results systematically show that student learning is significantly higher in the Tutorials classes compared with traditional teaching for all of the studied conditions. The results also show that long-term learning (one year after instruction) in the Tutorials classes is highly satisfactory, very similar to the performance of the samples of college students used to develop the test DIRECT. On the contrary, students following traditional instruction returned one year after instruction to the poor performance (<20%) shown before instruction, a result compatible with the very low level of conceptual knowledge of basic physics recently determined by a systematic study of first-year students attending seven universities in Spain and four Latin-American countries. Some replication and adaptation problems and difficulties of this experience are noted, as well as recommendations for successful use of Tutorials in high schools of similar educational systems.

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.

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

Analysis of student engagement in an online annotation system in the context of a flipped introductory physics class

NASA Astrophysics Data System (ADS)

Miller, Kelly; Zyto, Sacha; Karger, David; Yoo, Junehee; Mazur, Eric

2016-12-01

We discuss student participation in an online social annotation forum over two semesters of a flipped, introductory physics course at Harvard University. We find that students who engage in high-level discussion online, especially by providing answers to their peers' questions, make more gains in conceptual understanding than students who do not. This is true regardless of students' physics background. We find that we can steer online interaction towards more productive and engaging discussion by seeding the discussion and managing the size of the sections. Seeded sections produce higher quality annotations and a greater proportion of generative threads than unseeded sections. Larger sections produce longer threads; however, beyond a certain section size, the quality of the discussion decreases.

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.

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.

Landing spacecraft on Mars and other planets: An opportunity to apply introductory physics

NASA Astrophysics Data System (ADS)

Withers, Paul

2013-08-01

The Curiosity rover safely landed on Mars after "seven minutes of terror" passing through the Martian atmosphere. In order to land safely, Curiosity had to decelerate from speeds of several kilometers per second and reach zero speed exactly upon touching down on the surface. This was accomplished by a combination of atmospheric drag on the enclosed spacecraft during the initial hypersonic entry, deployment of a large parachute, and retrorockets. Here, we use the familiar concepts of introductory physics to explain why all three of these factors were necessary to ensure a safe landing. In particular, we analyze the initial deceleration of a spacecraft at high altitudes, its impact speed if a parachute is not used, its impact speed if a parachute is used, and the duration of its descent on a parachute, using examples from Curiosity and other missions.

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…

Framework and Implementation for Improving Physics Essential Skills via Computer-Based Practice: Vector Math

ERIC Educational Resources Information Center

Mikula, Brendon D.; Heckler, Andrew F.

2017-01-01

We propose a framework for improving accuracy, fluency, and retention of basic skills essential for solving problems relevant to STEM introductory courses, and implement the framework for the case of basic vector math skills over several semesters in an introductory physics course. Using an iterative development process, the framework begins with…

Guided Anarchy in an Introductory Physics Laboratory

ERIC Educational Resources Information Center

Heller, Kenneth

1973-01-01

Describes a physics laboratory course which operates without written instructions and with no required experiments. Course is based upon one- or two-week topics in mechanics, heat, electromagnetism and optics with a student-designed experiment in modern physics as an extended project. (DF)

Making the Introductory Meteorology Class Relevant in a Minority Serving Community College

NASA Astrophysics Data System (ADS)

Marchese, P. J.; Tremberger, G.; Bluestone, C.

2008-12-01

Queensborough Community College (QCC), a constituent campus of the City University of New York (CUNY), has modified the introductory Meteorology Class lecture and lab to include active learning activities and discovery based learning. The modules were developed at QCC and other 4 year colleges and designed to introduce basic physical concepts important in meteorology. The modules consisted of either interactive lecture demonstrations or discovery-based activities. The discovery based activities are intended to have students become familiar with scientific investigation. Students engage in formulating hypotheses, developing and carrying out experiments, and analyzing scientific data. These activities differ from traditional lab experiments in that they avoid "cookbook" procedures and emphasize having the students learn about physical concepts by applying the scientific method. During the interactive lecture demonstrations the instructor describes an experiment/phenomenon that is to be demonstrated in class. Students discuss the phenomenon based on their experiences and make a prediction about the outcome. The class then runs the experiment, makes observations, and compares the expected results to the actual outcome. As a result of these activities students in the introductory Meteorology class scored higher in exams questions measuring conceptual understanding, as well as factual knowledge. Lower scoring students demonstrated the greatest benefit, while the better students had little (or no) changes. All students also had higher self-efficacy scores after the intervention, compared to an unmodified class.

Measuring the Earth’s magnetic field dip angle using a smartphone-aided setup: a simple experiment for introductory physics laboratories

NASA Astrophysics Data System (ADS)

Arabasi, Sameer; Al-Taani, Hussein

2017-03-01

Measurement of the Earth’s magnetic field dip angle is a widely used experiment in most introductory physics laboratories. In this paper we propose a smartphone-aided setup that takes advantage of the smartphone’s magnetometer sensor to measure the Earth’s magnetic field dip angle. This set-up will help students visualize the vector nature of the Earth’s magnetic field, especially high school and first year college students who are not quite experienced with vectors. This set-up is affordable and easy to use and could be easily produced by any high school or college physics instructor.

Introductory animal science-based instruction influences attitudes on animal agriculture issues.

PubMed

Bobeck, E A; Combs, D K; Cook, M E

2014-02-01

The demographics of incoming university animal science majors have shifted from students with a farm background to urban students with no history of direct livestock contact. Research completed before the Internet was a central source of information indicated that incoming urban students tend to express no opinion or a neutral opinion regarding livestock agriculture issues. Due to the changing background of incoming students enrolled in introductory university-level animal science classes, we sought to determine 1) if livestock background (self-identified as raised in a farm or urban setting), sex, or animal science career interest influenced the opinions of incoming students regarding critical issues involving livestock farming practices and 2) if 15 wk of introductory animal science instruction changed student opinions. A total of 224 students were given 2 identical anonymous surveys (start and end of 15 wk) with 5 demographic questions and 9 animal issue statements. For each statement, students marked their opinion by placing a vertical line on a continuous 130 mm horizontal line, where a vertical line placed at 0 mm = strongly agree and 130 mm = strongly disagree. Data were analyzed by ANOVA to determine any significant effects of instruction, background, sex, and future career preference on survey responses. Before instruction, urban students were less agreeable than farm students that animal farming was moral and humane and that farmers are concerned about animal welfare and livestock are of value to society (P ≤ 0.05). Urban students were more likely than farm students to purchase organic foods or food based on environmental/welfare standards (P ≤ 0.05). Introductory animal science instruction resulted in students becoming more agreeable that animal farming was humane, farmers are concerned about animal welfare, and animal agriculture is a value to society (P ≤ 0.05). Postinstruction, students were more likely to buy food products based on price (P �

SIGKit: a New Data-based Software for Learning Introductory Geophysics

NASA Astrophysics Data System (ADS)

Zhang, Y.; Kruse, S.; George, O.; Esmaeili, S.; Papadimitrios, K. S.; Bank, C. G.; Cadmus, A.; Kenneally, N.; Patton, K.; Brusher, J.

2016-12-01

Students of diverse academic backgrounds take introductory geophysics courses to learn the theory of a variety of measurement and analysis methods with the expectation to be able to apply their basic knowledge to real data. Ideally, such data is collected in field courses and also used in lecture-based courses because they provide a critical context for better learning and understanding of geophysical methods. Each method requires a separate software package for the data processing steps, and the complexity and variety of professional software makes the path through data processing to data interpretation a strenuous learning process for students and a challenging teaching task for instructors. SIGKit (Student Investigation of Geophysics Toolkit) being developed as a collaboration between the University of South Florida, the University of Toronto, and MathWorks intends to address these shortcomings by showing the most essential processing steps and allowing students to visualize the underlying physics of the various methods. It is based on MATLAB software and offered as an easy-to-use graphical user interface and packaged so it can run as an executable in the classroom and the field even on computers without MATLAB licenses. An evaluation of the software based on student feedback from focus-group interviews and think-aloud observations helps drive its development and refinement. The toolkit provides a logical gateway into the more sophisticated and costly software students will encounter later in their training and careers by combining essential visualization, modeling, processing, and analysis steps for seismic, GPR, magnetics, gravity, resistivity, and electromagnetic data.

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.

Software-Based Scoring and Sound Design: An Introductory Guide for Music Technology Instruction

ERIC Educational Resources Information Center

Walzer, Daniel A.

2016-01-01

This article explores the creative function of virtual instruments, sequencers, loops, and software-based synthesizers to introduce basic scoring and sound design concepts for visual media in an introductory music technology course. Using digital audio workstations with user-focused and configurable options, novice composers can hone a broad range…

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…

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.

Creativity and Introductory Physics

NASA Astrophysics Data System (ADS)

Guilaran, Ildefonso (Fonsie) J.

2012-01-01

When I was an undergraduate physics major, I would often stay up late with my physics major roommate as we would digest the physics content we were learning in our courses and explore our respective imaginations armed with our new knowledge. Such activity during my undergraduate years was confined to informal settings, and the first formal creativity assignment in my physics education did not come until well into my graduate years when my graduate advisor demanded that I write a prospectus for my dissertation. I have often lamented the fact that the first formal assignment in which I was required to be creative, take responsibility for my own learning and research objectives, and see them to completion during my physics education came so late, considering the degree to which creative attributes are celebrated in the personalities of great physicists. In this essay I will apply some of the basic concepts as defined by creativity-related psychology literature to physics pedagogy, relate these concepts to the exchanges in this journal concerning Michael Sobel's paper "Physics for the Non-Scientist: A Middle Way," and provide the framework for a low-overhead creativity assignment that can easily be implemented at all levels of physics education.

Automated analysis of short responses in an interactive synthetic tutoring system for introductory physics

NASA Astrophysics Data System (ADS)

Nakamura, Christopher M.; Murphy, Sytil K.; Christel, Michael G.; Stevens, Scott M.; Zollman, Dean A.

2016-06-01

Computer-automated assessment of students' text responses to short-answer questions represents an important enabling technology for online learning environments. We have investigated the use of machine learning to train computer models capable of automatically classifying short-answer responses and assessed the results. Our investigations are part of a project to develop and test an interactive learning environment designed to help students learn introductory physics concepts. The system is designed around an interactive video tutoring interface. We have analyzed 9 with about 150 responses or less. We observe for 4 of the 9 automated assessment with interrater agreement of 70% or better with the human rater. This level of agreement may represent a baseline for practical utility in instruction and indicates that the method warrants further investigation for use in this type of application. Our results also suggest strategies that may be useful for writing activities and questions that are more appropriate for automated assessment. These strategies include building activities that have relatively few conceptually distinct ways of perceiving the physical behavior of relatively few physical objects. Further success in this direction may allow us to promote interactivity and better provide feedback in online learning systems. These capabilities could enable our system to function more like a real tutor.

Recent Evolution of the Introductory Curriculum in Computing.

ERIC Educational Resources Information Center

Tucker, Allen B.; Garnick, David K.

1991-01-01

Traces the evolution of introductory computing courses for undergraduates based on the Association for Computing Machinery (ACM) guidelines published in "Curriculum 78." Changes in the curricula are described, including the role of discrete mathematics and theory; and the need for a broader model for designing introductory courses is…

Group Theory with Applications in Chemical Physics

NASA Astrophysics Data System (ADS)

Jacobs, Patrick

2005-10-01

Group Theory is an indispensable mathematical tool in many branches of chemistry and physics. This book provides a self-contained and rigorous account on the fundamentals and applications of the subject to chemical physics, assuming no prior knowledge of group theory. The first half of the book focuses on elementary topics, such as molecular and crystal symmetry, whilst the latter half is more advanced in nature. Discussions on more complex material such as space groups, projective representations, magnetic crystals and spinor bases, often omitted from introductory texts, are expertly dealt with. With the inclusion of numerous exercises and worked examples, this book will appeal to advanced undergraduates and beginning graduate students studying physical sciences and is an ideal text for use on a two-semester course. An introductory and advanced text that comprehensively covers fundamentals and applications of group theory in detail Suitable for a two-semester course with numerous worked examples and problems Includes several topics often omitted from introductory texts, such as rotation group, space groups and spinor bases

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.

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

Comparison of Traditional and ADRI Based Teaching Approaches in an Introductory Programming Course

ERIC Educational Resources Information Center

Malik, Sohail Iqbal; Coldwell-Neilson, Jo

2017-01-01

Aim/Purpose: This study introduced a new teaching and learning approach based on an ADRI (Approach, Deployment, Result, Improvement) model in an introductory programming (IP) course. The effectiveness of the new teaching and learning process was determined by collecting feedback from the IP instructors and by analyzing the final exam grades of the…

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.

Enlivening Introductory Physics With SETI

NASA Astrophysics Data System (ADS)

Hobson, Art

2001-04-01

The search for extraterrestrial intelligence (SETI), popular for years in astronomy courses, is also an excellent topic in physics literacy courses. Space travel, relativity, scientific methodology, pseudoscience, and physics-related societal topics can all be taught within the SETI context. Fermi's question (see Kuiper and Brin, Extraterrestrial Civilization, AAPT 1989, p. 67) is especially appropriate. Enrico Fermi, speculating in 1950 on the number of technological civilizations in our galaxy, concluded that we should have been visited long ago and many times over. Thus one might ask, paraphrasing Fermi, "Where is everybody?" Fermi concluded that either interstellar travel is impossible, or is always judged not to be worth the effort, or technological civilization doesn't last long enough for it to happen. Whether one agrees with Fermi or not, the great physicist's third suggestion is a sobering perspective on the sustainability of Earth-based civilization.

Creativity and Introductory Physics

ERIC Educational Resources Information Center

Guilaran, Ildefonso J.

2012-01-01

When I was an undergraduate physics major, I would often stay up late with my physics major roommate as we would digest the physics content we were learning in our courses and explore our respective imaginations armed with our new knowledge. Such activity during my undergraduate years was confined to informal settings, and the first formal…

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.

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

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…

Examining Physics Graduate Teaching Assistants' Pedagogical Content Knowledge for Teaching a New Physics Curriculum

ERIC Educational Resources Information Center

Seung, Eulsun; Bryan, Lynn A.; Haugan, Mark P.

2012-01-01

In this study, we investigated the pedagogical content knowledge (PCK) that physics graduate teaching assistants (TAs) developed in the context of teaching a new introductory physics curriculum, "Matter and Interactions" ("M&I"). "M&I" is an innovative introductory physics course that emphasizes a unified framework for understanding the world and…

The "Nut-Drop" Experiment--Bringing Millikan's Challenge to Introductory Students

ERIC Educational Resources Information Center

McCann, Lowell I.; Blodgett, Earl D.

2009-01-01

One of the difficulties in teaching 20th-century physics ideas in introductory physics is that many seminal experiments that are discussed in textbooks are difficult or expensive for students to access experimentally. In this paper, we discuss an analogous exercise to Millikan's oil-drop experiment that lets students experience some of the physics…

Use of camera drive in stereoscopic display of learning contents of introductory physics

NASA Astrophysics Data System (ADS)

Matsuura, Shu

2011-03-01

Simple 3D physics simulations with stereoscopic display were created for a part of introductory physics e-Learning. First, cameras to see the 3D world can be made controllable by the user. This enabled to observe the system and motions of objects from any position in the 3D world. Second, cameras were made attachable to one of the moving object in the simulation so as to observe the relative motion of other objects. By this option, it was found that users perceive the velocity and acceleration more sensibly on stereoscopic display than on non-stereoscopic 3D display. Simulations were made using Adobe Flash ActionScript, and Papervison 3D library was used to render the 3D models in the flash web pages. To display the stereogram, two viewports from virtual cameras were displayed in parallel in the same web page. For observation of stereogram, the images of two viewports were superimposed by using 3D stereogram projection box (T&TS CO., LTD.), and projected on an 80-inch screen. The virtual cameras were controlled by keyboard and also by Nintendo Wii remote controller buttons. In conclusion, stereoscopic display offers learners more opportunities to play with the simulated models, and to perceive the characteristics of motion better.

Asymptotic identity in min-plus algebra: a report on CPNS.

PubMed

Li, Ming; Zhao, Wei