Students in Rural Schools Have Limited Access to Advanced Mathematics Courses. Issue Brief No. 7

ERIC Educational Resources Information Center

Graham, Suzanne E.

2009-01-01

This Carsey brief reveals that students in rural areas and small towns have less access to higher-level mathematics courses than students in urban settings, which results in serious educational consequences, including lower scores on assessment tests and fewer qualified students entering science, technology, engineering, and mathematics (STEM) job…

Sharing the Treats of Mathematics in a Senior Capstone Course

ERIC Educational Resources Information Center

Shifflet, Daniel R.

2013-01-01

In this paper we discuss why a senior capstone course is the perfect setting to reward graduating seniors with some of the more fun and interesting aspects of advanced mathematics. We provide a beginner's list of topics to consider as well as a method of implementing these tidbits outside of the classroom if time is an issue.

Integrating First-Year Technology and Finite Mathematics Courses

ERIC Educational Resources Information Center

Shafii-Mousavi, Morteza; Kochanowski, Paul

2006-01-01

This paper describes an interdisciplinary project-based mathematics course linked to a computer technology course. The linkage encourages an appreciation of mathematics and technology as students see an immediate use for these skills in completing actual real-world projects. Linking mathematics and technology integrates subjects taught in…

An Appropriate Culminating Mathematics Course.

ERIC Educational Resources Information Center

Haver, Bill; Turbeville, Gwen

1995-01-01

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

Mathematics Courses for the Prospective Teacher.

ERIC Educational Resources Information Center

Kistler, Barbara C.

This paper suggests that faculty at two-year institutions need to become partners with colleges of education and K-12 teachers of mathematics in preparing future mathematics teachers. The paper presents the following: a summary of recommendations on programs for prospective teachers; a summary of recommendations about mathematics courses for…

Asynchronous Discourse in a Web-Assisted Mathematics Education Course

ERIC Educational Resources Information Center

Li, Zhongxiao

2009-01-01

Fall term of 2006, a web-assisted undergraduate mathematics course was taught at the University of Idaho: Math 235 Mathematics for Elementary Teachers I. The course goals were: To foster a deep understanding of critical mathematical content; and to promote the development of mathematical communication and collaboration concepts, skills, and…

Connecting Advanced and Secondary Mathematics

ERIC Educational Resources Information Center

Murray, Eileen; Baldinger, Erin; Wasserman, Nicholas; Broderick, Shawn; White, Diana

2017-01-01

There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers…

Mathematics Preparation and Success in Introductory College Science Courses

NASA Astrophysics Data System (ADS)

Avallone, L. M.; Geiger, L. C.; Luebke, A. E.

2008-12-01

It is a long-held belief that adequate mathematics preparation is a key to success in introductory college science courses. Indeed, a number of recent studies have tested mathematics "fluency" and compared that to performance in introductory physics or chemistry courses. At the University of Colorado at Boulder, we administered a twenty-question math assessment to incoming first-year students as part of orientation registration. The intent of this tool was to provide information for advising new college students about their readiness for college-level science courses, both those for science majors and those for non-scientists. In this presentation we describe the results of the mathematics assessment for two incoming classes in the College of Arts and Sciences at CU-Boulder (about 9,000 students) and its predictive capabilities for success in introductory science courses. We also analyze student performance in these courses (i.e., course grade) with respect to ACT and/or SAT scores. We will present data on the relative success of students in college science courses both with and without prior college-level mathematics courses as well.

Advanced mathematics communication beyond modality of\\xA0sight

NASA Astrophysics Data System (ADS)

Sedaghatjou, Mina

2018-01-01

This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access to visual fields in an advanced mathematics course does not obstruct a blind student's ability to visualize, but transforms it. The goal of this study is not to compare the visually impaired student with non-visually impaired students to address the 'differences' in understanding; instead, I discuss the challenges that a blind student, named Anthony, has encountered and the ways that we tackled those problems. I also demonstrate how the proper and precisely crafted tactile materials empowered Anthony to learn mathematical functions.

Advancement via Individual Determination: A Model for Equity in Secondary Mathematics

ERIC Educational Resources Information Center

Hodges, Cynthia D.

2013-01-01

This study examined the impact of Advancement Via Individual Determination (AVID) methodologies on the mathematics achievement of African American, European American, and Hispanic students as measured by the State of Texas Assessment of Academic Readiness (STAAR) End of Course (EOC) for Algebra I. This quantitative nonexperimental ex post facto…

Mathematical Modeling in the Undergraduate Curriculum

ERIC Educational Resources Information Center

Toews, Carl

2012-01-01

Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an "advanced" course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the…

A Case Study on Mathematics Anxiety for Mathematics of Finance Course

ERIC Educational Resources Information Center

Abidin, Rabiatul Alawiyah Zainal; Alwi, Fatimah; Jaafar, Noor Faiza M.

2010-01-01

The DIIA (Diploma in Investment Analysis) students from the FBM (Faculty of Business Management) were required to undertake several MOF (Mathematic of Finance) courses. The passing rates for all of the MOF courses were good except for one course. There are many factors for this low passing rate phenomenon for this particular MOF course. One of the…

How Does Self-Regulation Impact Student's Use of Mathematical Strategies in a Remedial Mathematics Course

ERIC Educational Resources Information Center

Heron, Michele Lynn

2011-01-01

In order to improve teaching strategies in a college level remedial mathematics course, this study seeks to investigate student perception while they attempt challenging mathematics tasks. The participants were 72 students enrolled in a mid-western university remedial mathematics course. A qualitative case study methodology was used to investigate…

Designing a Mathematics Course for Chemistry and Geology Students

ERIC Educational Resources Information Center

Witten, Gareth Q.

2005-01-01

Many mathematics departments usually teach a variety of courses for students from different science departments and even from different faculties. These "service" courses are usually taught in the same way as the courses for mathematics major students. However, in science, because of the need to better analyse and interpret experimental…

Cognitive correlates of performance in advanced mathematics.

PubMed

Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin

2012-03-01

Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic). To promote mathematical knowledge among college students, it is necessary to understand what factors (including cognitive factors) are important for acquiring advanced mathematics. We recruited 80 undergraduates from four universities in Beijing. The current study investigated the associations between students' performance on a test of advanced mathematics and a battery of 17 cognitive tasks on basic numerical processing, complex numerical processing, spatial abilities, language abilities, and general cognitive processing. The results showed that spatial abilities were significantly correlated with performance in advanced mathematics after controlling for other factors. In addition, certain language abilities (i.e., comprehension of words and sentences) also made unique contributions. In contrast, basic numerical processing and computation were generally not correlated with performance in advanced mathematics. Results suggest that spatial abilities and language comprehension, but not basic numerical processing, may play an important role in advanced mathematics. These results are discussed in terms of their theoretical significance and practical implications. ©2011 The British Psychological Society.

Advanced Mathematical Thinking

ERIC Educational Resources Information Center

Dubinsky, Ed; McDonald, Michael A.; Edwards, Barbara S.

2005-01-01

In this article we propose the following definition for advanced mathematical thinking: Thinking that requires deductive and rigorous reasoning about mathematical notions that are not entirely accessible to us through our five senses. We argue that this definition is not necessarily tied to a particular kind of educational experience; nor is it…

What's Working: Program Factors Influencing California Community College Basic Skills Mathematics Students' Advancement to Transfer Level

ERIC Educational Resources Information Center

Fiero, Diane M.

2013-01-01

Purpose: The purpose of this study was to determine which basic skills program factors were exhibited by successful basic skills programs that helped students advance to transfer-level mathematics. This study specifically examined California community college basic skills programs that assist students who place in mathematics courses 2 levels…

Discrete mathematics course supported by CAS MATHEMATICA

NASA Astrophysics Data System (ADS)

Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A.

2017-08-01

In this paper, we discuss examples of assignments for a course in discrete mathematics for undergraduate students majoring in business informatics. We consider several problems with computer-based solutions and discuss general strategies for using computers in teaching mathematics and its applications. In order to evaluate the effectiveness of our approach, we conducted an anonymous survey. The results of the survey provide evidence that our approach contributes to high outcomes and aligns with the course aims and objectives.

Tracking Developmental Students into Their First College Level Mathematics Course

ERIC Educational Resources Information Center

Waycaster, Pansy

2011-01-01

A recent SACS review at the author's institution prompted an assessment of the school's developmental mathematics program. The author needed to examine the effectiveness of the developmental mathematics courses in preparing students for their first college level mathematics course. Rather than just examine success rates in developmental…

Effects of an Additional Mathematics Content Course on Elementary Teachers' Mathematical Beliefs and Knowledge for Teaching

ERIC Educational Resources Information Center

Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine

2012-01-01

This longitudinal study examines the effects of changes in an elementary teacher preparation program on mathematics beliefs and content knowledge for teaching of two groups of prospective teachers (N = 276): (1) those who completed a program with three mathematics content courses and two mathematics methods courses and (2) those who completed a…

Teaching Writing and Communication in a Mathematical Modeling Course

ERIC Educational Resources Information Center

Linhart, Jean Marie

2014-01-01

Writing and communication are essential skills for success in the workplace or in graduate school, yet writing and communication are often the last thing that instructors think about incorporating into a mathematics course. A mathematical modeling course provides a natural environment for writing assignments. This article is an analysis of the…

A Multisite Study of High School Mathematics Curricula and the Impact of Taking a Developmental Mathematics Course in College

ERIC Educational Resources Information Center

Harwell, Michael; Dupuis, Danielle; Post, Thomas R.; Medhanie, Amanuel; LeBeau, Brandon

2014-01-01

The relationship between high school mathematics curricula and the likelihood of students who enroll in a developmental (non-credit bearing) course in college taking additional mathematics courses was studied. The results showed that high school mathematics curriculum, years of high school mathematics completed, and ACT mathematics scores were…

Pre-service science teachers' perceptions of mathematics courses in a science teacher education programme

NASA Astrophysics Data System (ADS)

Incikabi, Lutfi; Serin, Mehmet Koray

2017-08-01

Most science departments offer compulsory mathematics courses to their students with the expectation that students can apply their experience from the mathematics courses to other fields of study, including science. The current study first aims to investigate the views of pre-service science teachers of science-teaching preparation degrees and their expectations regarding the difficulty level of mathematics courses in science-teaching education programmes. Second, the study investigates changes and the reasons behind the changes in their interest regarding mathematics after completing these courses. Third, the current study seeks to reveal undergraduate science teachers' opinions regarding the contribution of undergraduate mathematics courses to their professional development. Being qualitative in nature, this study was a case study. According to the results, almost all of the students considered that undergraduate mathematics courses were 'difficult' because of the complex and intensive content of the courses and their poor background mathematical knowledge. Moreover, the majority of science undergraduates mentioned that mathematics would contribute to their professional development as a science teacher. On the other hand, they declared a negative change in their attitude towards mathematics after completing the mathematics courses due to continuous failure at mathematics and their teachers' lack of knowledge in terms of teaching mathematics.

Discrete Mathematics Course Supported by CAS MATHEMATICA

ERIC Educational Resources Information Center

Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A.

2017-01-01

In this paper, we discuss examples of assignments for a course in discrete mathematics for undergraduate students majoring in business informatics. We consider several problems with computer-based solutions and discuss general strategies for using computers in teaching mathematics and its applications. In order to evaluate the effectiveness of our…

Symbolic Drawings Reveal Changes in Preservice Teacher Mathematics Attitudes after a Mathematics Methods Course

ERIC Educational Resources Information Center

Rule, Audrey C.; Harrell, Mary H.

2006-01-01

A new method of analyzing mathematics attitudes through symbolic drawings, situated within the field of Jungian-oriented analytical psychology, was applied to 52 preservice elementary teachers before and after a mathematics methods course. In this triangulation mixed methods design study, pretest images related to past mathematics experiences…

Curriculum Guide for Baccalaureate Oriented Courses in Mathematics.

ERIC Educational Resources Information Center

Darnes, G. Robert, Ed.

A mathematics curriculum guide is presented for the purpose of offering statewide guidelines to colleges for determining the content of those courses which might be considered standard courses in the first two years of the college curriculum. Courses covered include: intermediate algebra, college algebra, trigonometry, analytic geometry,…

Content Selection in Advanced Courses

ERIC Educational Resources Information Center

Parker, Walter C.; Lo, Jane C.

2016-01-01

Advanced high-school courses, such as Advanced Placement (AP) courses in the United States, present a content selection conundrum of major proportions. Judicious content selection is necessary if students are to learn subject matter meaningfully, but the sheer breadth of tested material in these courses promotes nearly the opposite:…

Impact of the Course Teaching and Learning of Mathematics on Preservice Grades 7 and 8 Mathematics Teachers in Singapore

ERIC Educational Resources Information Center

Kaur, Berinderjeet

2017-01-01

This paper explores the impact of the course "Teaching and Learning of Mathematics (Grades 7 and 8)" for the preparation of pre-service secondary mathematics teachers. It examines how pre-service teachers perceived mathematical problem solving and communicating mathematical knowledge before and after the course. The main objective of the…

Mathematics Achievement: Traditional Instruction and Technology-Assisted Course Delivery Methods

ERIC Educational Resources Information Center

Vilardi, Robert; Rice, Margaret L.

2014-01-01

The purpose of this study was to analyze technology-assisted course delivery methods to determine their overall effectiveness as it pertains to mathematics courses. This study analyzed both current and historical data in the areas of achievement, retention, and grade distribution for mathematics classes. The study included 14,562 students enrolled…

Moving toward Positive Mathematics Beliefs and Developing Socio-Mathematical Authority: Urban Preservice Teachers in Mathematics Methods Courses

ERIC Educational Resources Information Center

Saran, Rupam; Gujarati, Joan

2013-01-01

This article explores how preservice elementary teachers change their negative beliefs toward mathematics into positive ones after taking a mathematics methods course that follows the Concrete-Pictorial-Abstract (CPA) instructional method. Also explored is the relationship between those beliefs and sociomathematical authority. By administering…

Mathematics Achievement: Traditional Instruction and Technology-Assisted Course Delivery Methods

ERIC Educational Resources Information Center

Vilardi, Robert

2013-01-01

The purpose of this study was to analyze technology-assisted course delivery methods to determine their overall effectiveness as it pertains to mathematics courses. This study analyzed both current and historical data in mathematics classes in the areas of achievement, retention, and grade distribution. The goal of this study was to determine if…

Infusing Mathematics Content into a Methods Course: Impacting Content Knowledge for Teaching

ERIC Educational Resources Information Center

Burton, Megan; Daane, C. J.; Giesen, Judy

2008-01-01

This study compared content knowledge for teaching mathematics differences between elementary pre-service teachers in a traditional versus an experimental mathematics methods course. The experimental course replaced 20 minutes of traditional methods, each class, with an intervention of elementary mathematics content. The difference between groups…

Graded Course of Study, Mathematics (K-12).

ERIC Educational Resources Information Center

Euclid City Schools, OH.

This course of study specifies skills and concepts in mathematics that are to be taught in the various grades of the Euclid (Ohio) City School System. It is based on the philosophy that the purpose of the mathematics program of the Euclid City Schools is to provide students with the kinds of skills they will need to become productive members of…

Introductory life science mathematics and quantitative neuroscience courses.

PubMed

Duffus, Dwight; Olifer, Andrei

2010-01-01

We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an upper-division course in computational neuroscience. We provide a description of each course, detailed syllabi, examples of content, and a brief discussion of the main issues encountered in developing and offering the courses.

AN ADVANCED PLACEMENT COURSE IN ANALYTIC GEOMETRY AND CALCULUS (MATHEMATICS XV X AP).

ERIC Educational Resources Information Center

DEROLF, JOHN J.; MIENTKA, WALTER E.

THIS TEXT ON ANALYTIC GEOMETRY AND CALCULUS IS A CORRESPONDENCE COURSE DESIGNED FOR ADVANCED PLACEMENT OF HIGH SCHOOL STUDENTS IN COLLEGE. EACH OF THE 21 LESSONS INCLUDES READING ASSIGNMENTS AND LISTS OF PROBLEMS TO BE WORKED. IN ADDITION, SUPPLEMENTARY EXPLANATIONS AND COMMENTS ARE INCLUDED THAT (1) PROVIDE ILLUSTRATIVE EXAMPLES OF CONCEPTS AND…

What Math Matters? Types of Mathematics Knowledge and Relationships to Methods Course Performance

ERIC Educational Resources Information Center

Kajander, Ann; Holm, Jennifer

2016-01-01

This study investigated the effect of a departmental focus on enhanced mathematics knowledge for teaching on overall performance in upper elementary mathematics methods courses. The study examined the effect of performance on a new course in mathematics for teaching on performance at the methods course level. In addition, the effect of performance…

Introductory Life Science Mathematics and Quantitative Neuroscience Courses

PubMed Central

Olifer, Andrei

2010-01-01

We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an upper-division course in computational neuroscience. We provide a description of each course, detailed syllabi, examples of content, and a brief discussion of the main issues encountered in developing and offering the courses. PMID:20810971

A self-paced course in pharmaceutical mathematics using web-based databases.

PubMed

Bourne, David W A; Davison, A Machelle

2006-10-15

To transform a pharmaceutical mathematics course to a self-paced instructional format using Web-accessed databases for student practice and examination preparation. The existing pharmaceutical mathematics course was modified from a lecture style with midsemester and final examinations to a self-paced format in which students had multiple opportunities to complete online, nongraded self-assessments as well as in-class module examinations. Grades and course evaluations were compared between students taking the class in lecture format with midsemester and final examinations and students taking the class in the self-paced instructional format. The number of times it took students to pass examinations was also analyzed. Based on instructor assessment and student feedback, the course succeeded in giving students who were proficient in pharmaceutical mathematics a chance to progress quickly and students who were less skillful the opportunity to receive instruction at their own pace and develop mathematical competence.

Secondary Mathematics Course Trajectories: Understanding Accumulated Disadvantages in Mathematics in Grades 9-12

ERIC Educational Resources Information Center

Schiller, Kathryn S.; Hunt, Donald J.

2011-01-01

Schools are institutions in which students' course taking creates series of linked learning opportunities continually shaped by not only curricular structures but demographic and academic backgrounds. In contrast to a seven-step normative course sequence reflecting the conventional hierarchical structure of mathematics, analysis of more than…

Introductory Life Science Mathematics and Quantitative Neuroscience Courses

ERIC Educational Resources Information Center

Duffus, Dwight; Olifer, Andrei

2010-01-01

We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an…

(Re)Envisioning Mathematics Education: Examining Equity and Social Justice in an Elementary Mathematics Methods Course

ERIC Educational Resources Information Center

Koestler, Courtney

2010-01-01

In this dissertation, I present my attempts at designing an elementary mathematics methods course to support prospective teachers in developing an understanding of how to teach all students in learning powerful mathematics. To do this, I introduced them to teaching mathematics for equity and social justice by discussing ways to support students'…

A Self-paced Course in Pharmaceutical Mathematics Using Web-based Databases

PubMed Central

Bourne, David W.A.; Davison, A. Machelle

2006-01-01

Objective To transform a pharmaceutical mathematics course to a self-paced instructional format using Web-accessed databases for student practice and examination preparation. Design The existing pharmaceutical mathematics course was modified from a lecture style with midsemester and final examinations to a self-paced format in which students had multiple opportunities to complete online, nongraded self-assessments as well as in-class module examinations. Assessment Grades and course evaluations were compared between students taking the class in lecture format with midsemester and final examinations and students taking the class in the self-paced instructional format. The number of times it took students to pass examinations was also analyzed. Conclusions Based on instructor assessment and student feedback, the course succeeded in giving students who were proficient in pharmaceutical mathematics a chance to progress quickly and students who were less skillful the opportunity to receive instruction at their own pace and develop mathematical competence. PMID:17149445

The Transformation of Mathematics in On-Line Courses

ERIC Educational Resources Information Center

Borba, Marcelo C.

2005-01-01

This paper presents some research findings regarding the changes in the mathematics produced by mathematics teachers in on-line distance courses. Predicated on the belief that knowledge is generated by collectives of humans-with-media, and that different technologies modify the nature of the knowledge generated, we have sought to understand how…

Mathematics Prerequisites for Introductory Geoscience Courses: Using Technology to Help Solve the Problem

NASA Astrophysics Data System (ADS)

Burn, H. E.; Wenner, J. M.; Baer, E. M.

2011-12-01

The quantitative components of introductory geoscience courses can pose significant barriers to students. Many academic departments respond by stripping courses of their quantitative components or by attaching prerequisite mathematics courses [PMC]. PMCs cause students to incur additional costs and credits and may deter enrollment in introductory courses; yet, stripping quantitative content from geoscience courses masks the data-rich, quantitative nature of geoscience. Furthermore, the diversity of math skills required in geoscience and students' difficulty with transferring mathematical knowledge across domains suggest that PMCs may be ineffective. Instead, this study explores an alternative strategy -- to remediate students' mathematical skills using online modules that provide students with opportunities to build contextual quantitative reasoning skills. The Math You Need, When You Need It [TMYN] is a set of modular online student resources that address mathematical concepts in the context of the geosciences. TMYN modules are online resources that employ a "just-in-time" approach - giving students access to skills and then immediately providing opportunities to apply them. Each module places the mathematical concept in multiple geoscience contexts. Such an approach illustrates the immediate application of a principle and provides repeated exposure to a mathematical skill, enhancing long-term retention. At the same time, placing mathematics directly in several geoscience contexts better promotes transfer of learning by using similar discourse (words, tools, representations) and context that students will encounter when applying mathematics in the future. This study uses quantitative and qualitative data to explore the effectiveness of TMYN modules in remediating students' mathematical skills. Quantitative data derive from ten geoscience courses that used TMYN modules during the fall 2010 and spring 2011 semesters; none of the courses had a PMC. In all courses

Understanding Prospective Teachers' Mathematical Modeling Processes in the Context of a Mathematical Modeling Course

ERIC Educational Resources Information Center

Zeytun, Aysel Sen; Cetinkaya, Bulent; Erbas, Ayhan Kursat

2017-01-01

This paper investigates how prospective teachers develop mathematical models while they engage in modeling tasks. The study was conducted in an undergraduate elective course aiming to improve prospective teachers' mathematical modeling abilities, while enhancing their pedagogical knowledge for the integrating of modeling tasks into their future…

Cognitive Correlates of Performance in Advanced Mathematics

ERIC Educational Resources Information Center

Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin

2012-01-01

Background: Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic).Aims: To promote mathematical knowledge among college students, it is necessary to understand what factors…

"The Age of Newton": An Intensive Physics and Mathematics Course

ERIC Educational Resources Information Center

Calvert, J. B.; And Others

1976-01-01

Describes an intensive course in mathematics (calculus), mechanics, optics, and astronomy directed mainly toward nonscience students. Course format, operation, and student evaluation appear. (Author/CP)

An investigation of assessment and feedback practices in fully asynchronous online undergraduate mathematics courses

NASA Astrophysics Data System (ADS)

Trenholm, Sven; Alcock, Lara; Robinson, Carol

2015-11-01

Research suggests it is difficult to learn mathematics in the fully asynchronous online (FAO) instructional modality, yet little is known about associated teaching and assessment practices. In this study, we investigate FAO mathematics assessment and feedback practices in particular consideration of both claims and findings that these practices have a powerful influence on learning. A survey questionnaire was constructed and completed by 70 FAO undergraduate mathematics instructors, mostly from the USA, who were each asked to detail their assessment and feedback practices in a single FAO mathematics course. Alongside these questions, participants also answered the 16-item version of the Approaches to Teaching Inventory. In addition, a novel feedback framework was also created and used to examine how feedback practices may be related to participants' approaches to teaching. Results show that assessment and feedback practices are varied and complex: in particular, we found there was not a simple emphasis on summative assessment instruments, nor a concomitant expectation these would always be invigilated. Though richer assessment feedback appears to be emphasized, evidence suggests this feedback may not be primarily directed at advancing student learning. Moreover, we found evidence of a reliance on computer--human interactions (e.g. via computer-assisted assessment systems) and further evidence of a decline in human interactions, suggesting a dynamic that is both consistent with current online learning theory and claims FAO mathematics courses are becoming commodified. Several avenues for further research are suggested.

Gendered Pathways: How Mathematics Ability Beliefs Shape Secondary and Postsecondary Course and Degree Field Choices

PubMed Central

Perez-Felkner, Lara; Nix, Samantha; Thomas, Kirby

2017-01-01

Do mathematics ability beliefs explain gender gaps in the physical science, engineering, mathematics, and computer science fields (PEMC) and other science fields? We leverage U.S. nationally representative longitudinal data to estimate gendered differences in girls' and boys' perceptions of mathematics ability with the most difficult or challenging material. Our analyses examine the potentially interacting effects of gender and these ability beliefs on students' pathways to scientific careers. Specifically, we study how beliefs about ability with challenging mathematics influence girls' and boys' choices to pursue PEMC degrees, evaluating educational milestones over a 6-year period: advanced science course completion in secondary school and postsecondary major retention and selection. Our findings indicate even at the same levels of observed ability, girls' mathematics ability beliefs under challenge are markedly lower than those of boys. These beliefs matter over time, potentially tripling girls' chances of majoring in PEMC sciences, over and above biological science fields, all else being equal. Implications and potential interventions are discussed. PMID:28428762

Gendered Pathways: How Mathematics Ability Beliefs Shape Secondary and Postsecondary Course and Degree Field Choices.

PubMed

Perez-Felkner, Lara; Nix, Samantha; Thomas, Kirby

2017-01-01

Do mathematics ability beliefs explain gender gaps in the physical science, engineering, mathematics, and computer science fields (PEMC) and other science fields? We leverage U.S. nationally representative longitudinal data to estimate gendered differences in girls' and boys' perceptions of mathematics ability with the most difficult or challenging material. Our analyses examine the potentially interacting effects of gender and these ability beliefs on students' pathways to scientific careers. Specifically, we study how beliefs about ability with challenging mathematics influence girls' and boys' choices to pursue PEMC degrees, evaluating educational milestones over a 6-year period: advanced science course completion in secondary school and postsecondary major retention and selection. Our findings indicate even at the same levels of observed ability, girls' mathematics ability beliefs under challenge are markedly lower than those of boys. These beliefs matter over time, potentially tripling girls' chances of majoring in PEMC sciences, over and above biological science fields, all else being equal. Implications and potential interventions are discussed.

The Black-White Gap in Mathematics Course Taking

ERIC Educational Resources Information Center

Kelly, Sean

2009-01-01

Using data from the National Education Longitudinal Study, this study investigated differences in the mathematics course taking of white and black students. Because of lower levels of achievement, prior course taking, and lower socioeconomic status, black students are much more likely than are white students to be enrolled in low-track mathematics…

Writing in a History of Mathematics Capstone Course

ERIC Educational Resources Information Center

Carter, John

2014-01-01

This article presents two approaches to using original sources in a capstone writing project for a History of Mathematics course. One approach involves searching local libraries and is best suited to schools in metropolitan areas. A second approach involves online resources available anywhere. Both projects were used in a course intended for…

A College-Level Foundational Mathematics Course: Evaluation, Challenges, and Future Directions

ERIC Educational Resources Information Center

Maciejewski, Wes

2012-01-01

Recently in Ontario, Canada, the College Math Project brought to light startling data on the achievement of students in Ontario's College of Applied Arts and Technology System related to their performance in first-year mathematics courses: one-third of the students had failed their first-year mathematics course or were at risk of not completing…

A Comparison of Pre- and Post- Levels of Mathematics Anxiety among Preservice Teacher Candidates Enrolled in a Mathematics Methods Course.

ERIC Educational Resources Information Center

Sloan, Tina Rye; Vinson, Beth; Haynes, Jonita; Gresham, Regina

This study examined the effectiveness of a methods course in the reduction of mathematics anxiety levels among three groups of preservice teachers majoring in elementary education. The sample included 61 novices enrolled in a course entitled Mathematics for the Young Child. This methods course utilized concrete manipulatives and active learning…

Learning to Teach Mathematics Specialists in a Synchronous Online Course: A Self-Study

ERIC Educational Resources Information Center

Hjalmarson, Margret A.

2017-01-01

This article uses a self-study research methodology to explore teaching an online course for mathematics specialists. The course included weekly videoconferencing sessions and focused on supporting their development as mathematics coaches working with K-8 teachers to enhance mathematics teaching and learning. The central question for the…

One-Year Integrated Mathematics and Mathematics Methods Course for Prospective Elementary School Teachers.

ERIC Educational Resources Information Center

Springer, George

This guide describes the content of a proposed mathematics course for prospective elementary school teachers. It is the result of a two-year study at Indiana University in which three existing courses were integrated and coordinated. For each unit of instruction, there are (1) remarks for motivation of study, (2) remarks on methods of teaching,…

On the Relationships between (Relatively) Advanced Mathematical Knowledge and (Relatively) Advanced Problem-Solving Behaviours

ERIC Educational Resources Information Center

Koichu, Boris

2010-01-01

This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of "three mathematical worlds"; relatively advanced problem-solving behaviours are defined in terms of taxonomies of "proof schemes" and "heuristic behaviours". The relationships…

Flipped Classrooms for Advanced Science Courses

NASA Astrophysics Data System (ADS)

Tomory, Annette; Watson, Sunnie Lee

2015-12-01

This article explains how issues regarding dual credit and Advanced Placement high school science courses could be mitigated via a flipped classroom instructional model. The need for advanced high school courses will be examined initially, followed by an analysis of advanced science courses and the reform they are experiencing. Finally, it will conclude with an explanation of flipped classes as well as how they may be a solution to the reform challenges teachers are experiencing as they seek to incorporate more inquiry-based activities.

The Effectiveness of Blended Instruction in Core Postsecondary Mathematics Courses

ERIC Educational Resources Information Center

Bargagliotti, Anna; Botelho, Fernanda; Gleason, Jim; Haddock, John; Windsor, Alistair

2012-01-01

Most students in U.S. universities are required to take a collection of core courses regardless of their degree or major. These courses are known as "general education" courses. The general education requirements typically include at least one mathematics course. Unfortunately each year hundreds of thousands of students in the US do not…

Cross Coursing in Mathematics: Physical Modelling in Differential Equations Crossing to Discrete Dynamical Systems

ERIC Educational Resources Information Center

Winkel, Brian

2012-01-01

We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course. This situation crosses falling body modelling in an upper level differential equations course into a modest discrete dynamical systems unit of a first-year mathematics course. (Contains 1 figure.)

Are College Student Success Courses Effective Corequisites to Developmental Mathematics in Community Colleges?

ERIC Educational Resources Information Center

Reilly, Karen L.

2014-01-01

The purpose of this study was to examine the differences in the achievement rates of developmental mathematics students when a student success course was taken in combination with mathematics. The study investigated changes that occurred in the developmental mathematics completion rates of the learners by examining age and the course sequence of…

Textbook and Course Materials for 21-127 "Concepts of Mathematics"

ERIC Educational Resources Information Center

Sullivan, Brendan W.

2013-01-01

Concepts of Mathematics (21-127 at CMU) is a course designed to introduce students to the world of abstract mathematics, guiding them from more calculation-based math (that one learns in high school) to higher mathematics, which focuses more on abstract thinking, problem solving, and writing "proofs." This transition tends to be a shock:…

All Students Need Advanced Mathematics. Math Works

ERIC Educational Resources Information Center

Achieve, Inc., 2013

2013-01-01

This fact sheet explains that to thrive in today's world, all students will need to graduate with very strong math skills. That can only mean one thing: advanced math courses are now essential math courses. Highlights of this paper include: (1) Advanced math equals college success; (2) Advanced math equals career opportunity; and (3) Advanced math…

Undergraduate Mathematics Students' Emotional Experiences in Linear Algebra Courses

ERIC Educational Resources Information Center

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

2016-01-01

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

Adult Student Learning Behaviors in a Roadblock Mathematics Course

ERIC Educational Resources Information Center

Tennant, Aimee

2012-01-01

Adult students are a growing population on college campuses. Adult students have lower graduation rates and longer times to graduation than traditional-age students. The ability to pass a college level mathematics course is a key factor in the graduation rates of all students. Past research has identified developmental mathematics, college…

Conversations about Curriculum Change: Mathematical Thinking and Team-Based Learning in a Discrete Mathematics Course

ERIC Educational Resources Information Center

Paterson, Judy; Sneddon, Jamie

2011-01-01

This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused…

Mathematical Practices and Arts Integration in an Activity-Based Projective Geometry Course

NASA Astrophysics Data System (ADS)

Ernest, Jessica Brooke

It is a general assumption that the mathematical activity of students in school should, at least to some degree, parallel the practices of professional mathematicians (Brown, Collins, Duguid, 1989; Moschkovich, 2013). This assumption is reflected in the Common Core State Standards (CCSSI, 2010) and National Council of Teachers of Mathematics (NCTM, 2000) standards documents. However, the practices included in these standards documents, while developed to reflect the practices of professional mathematicians, may be idealized versions of what mathematicians actually do (Moschkovich, 2013). This might lead us to question then: "What is it that mathematicians do, and what practices are not being represented in the standards documents?" In general, the creative work of mathematicians is absent from the standards and, in turn, from school mathematics curricula, much to the dismay of some mathematicians and researchers (Lockhart, 2009; Rogers, 1999). As a result, creativity is not typically being fostered in mathematics students. As a response to this lack of focus on fostering creativity (in each of the science, technology, engineering, and mathematics disciplines--the STEM disciplines), a movement to integrate the arts emerged. This movement, called the STEAM movement--introducing the letter A into the acronym STEM to signify incorporating the arts--has been gaining momentum, yet limited research has been carried out on the efficacy of integrating the arts into mathematics courses. My experiences as the co-instructor for an activity-based course focused on projective geometry led me to consider the course as a setting for investigating both mathematical practices and arts integration. In this work, I explored the mathematical practices in which students engaged while working to develop an understanding of projective geometry through group activities. Furthermore, I explored the way in which students' learning experiences were enriched through artistic engagement in the

Designing and Teaching the Course "Mathematical View" for Turkish Literature Majors at Duzce University

ERIC Educational Resources Information Center

Kanuni, Muge

2017-01-01

This article deals with giving a perspective of mathematics to students whose majors are not related to mathematics. A course named "Mathematical View" was specifically designed and implemented for this purpose. The course was given to students majoring in the Turkish Language and Literature Department at Duzce University who opted to…

The Effect of a Math Emporium Course Redesign in Developmental and Introductory Mathematics Courses on Student Achievement and Students' Attitudes toward Mathematics at a Two-Year College

ERIC Educational Resources Information Center

Bishop, Amy Renee

2010-01-01

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

A Combinatorics Course with One Goal: Authentic Mathematical Inquiry

ERIC Educational Resources Information Center

Storm, Christopher

2017-01-01

This article shares an example of a course in Combinatorics, taught at Adelphi University in Fall 2012, designed with a primary goal of engaging students in pursuing mathematics as mathematicians do. The course went beyond usual applications of inquiry-based learning in that students were also charged with the responsibility of posing the…

Learner-Centered Pedagogy in a Liberal Arts Mathematics Course

ERIC Educational Resources Information Center

Rufatto, Robin; Dickin, Holly; Florescu, Alina; Lorch, Crystal; Bremigan, Ralph; Lorch, John

2016-01-01

We discuss the pedagogical redesign of a liberal arts mathematics course that enrolls roughly 3000 students per year. Flipping the classroom is a prominent feature of the new pedagogical approach. We describe the nature of this redesign, course resources, and how students are assessed for both preparation and understanding. We also indicate how…

Tailoring Modified Moore Method Techniques to Liberal Arts Mathematics Courses

ERIC Educational Resources Information Center

Hitchman, Theron J.; Shaw, Douglas

2015-01-01

Inquiry-based learning (IBL) techniques can be used in mathematics courses for non-majors, such as courses required for liberal arts majors to fulfill graduation requirements. Unique challenges are discussed, followed by adaptations of IBL techniques to overcome those challenges.

The Influence of University Courses and Field Experiences on Chinese Elementary Candidates' Mathematical Knowledge for Teaching

ERIC Educational Resources Information Center

Youngs, Peter; Qian, Hong

2013-01-01

In this article, we draw on survey data to investigate associations between Chinese elementary teaching candidates’ mathematical knowledge for teaching (MKT) and their experiences in mathematics courses, mathematics methods courses, and student teaching. In our study, we found that (a) Chinese teaching candidates' completion of courses in number…

Prior Decisions and Experiences about Mathematics of Students in Bridging Courses

ERIC Educational Resources Information Center

Gordon, Sue; Nicholas, Jackie

2013-01-01

We report on the survey responses of 51 students attending mathematics bridging courses at a major Australian university, investigating what mathematics, if any, these students had studied in the senior years of schooling and what factors affected their decisions about the level of mathematics chosen. Quantitative findings are augmented by…

Two Project-Based Strategies in an Interdisciplinary Mathematical Modeling in Biology Course

ERIC Educational Resources Information Center

Ludwig, Patrice; Tongen, Anthony; Walton, Brian

2018-01-01

James Madison University faculty team-teach an interdisciplinary mathematical modeling course for mathematics and biology students. We have used two different project-based approaches to emphasize the mathematical concepts taught in class, while also exposing students to new areas of mathematics not formally covered in class. The first method…

A Student-Led Feedback Protocol on Writing Assignments in a History of Mathematics Course

ERIC Educational Resources Information Center

White, Diana

2014-01-01

History of math courses are commonly offered in mathematics departments. Such courses naturally lend themselves to writing assignments, and a growing body of research supports writing as a means to learn mathematics. This article details two such assignments, providing an overview of the course in which they are situated, and a student-led…

Eighth Grade Algebra Course Placement and Student Motivation for Mathematics

PubMed Central

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

2016-01-01

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

Eighth Grade Algebra Course Placement and Student Motivation for Mathematics.

PubMed

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

2016-01-01

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

Elective Drama Course in Mathematics Education: An Assessment of Pre-Service Teachers

ERIC Educational Resources Information Center

Sagirli, Meryem Özturan

2014-01-01

This study aimed to evaluate a newly introduced elective course "Drama in Mathematics Education" into mathematics education curriculum from the viewpoints of pre-service mathematics teachers. A case study was employed in the study. The study group consisted of 37 pre-service mathematics teachers who were enrolled in a Turkish state…

Mathematical tasks, study approaches, and course grades in undergraduate mathematics: a year-by-year analysis

NASA Astrophysics Data System (ADS)

Maciejewski, Wes; Merchant, Sandra

2016-04-01

Students approach learning in different ways, depending on the experienced learning situation. A deep approach is geared toward long-term retention and conceptual change while a surface approach focuses on quickly acquiring knowledge for immediate use. These approaches ultimately affect the students' academic outcomes. This study takes a cross-sectional look at the approaches to learning used by students from courses across all four years of undergraduate mathematics and analyses how these relate to the students' grades. We find that deep learning correlates with grade in the first year and not in the upper years. Surficial learning has no correlation with grades in the first year and a strong negative correlation with grades in the upper years. Using Bloom's taxonomy, we argue that the nature of the tasks given to students is fundamentally different in lower and upper year courses. We find that first-year courses emphasize tasks that require only low-level cognitive processes. Upper year courses require higher level processes but, surprisingly, have a simultaneous greater emphasis on recall and understanding. These observations explain the differences in correlations between approaches to learning and course grades. We conclude with some concerns about the disconnect between first year and upper year mathematics courses and the effect this may have on students.

Why Do Students Drop Advanced Mathematics?

ERIC Educational Resources Information Center

Horn, Ilana

2004-01-01

Students, especially black, Latino and Native American youth and students of low socio-economic status drop out of advanced mathematics. Teachers must coordinate their expectations, their knowledge of students and their teaching practices in order to stop struggling students from dropping out of advanced math classes.

An Analysis of Final Course Grades in Two Different Entry Level Mathematics Courses between and among First Year College Students with Different Levels of High School Mathematics Preparation

ERIC Educational Resources Information Center

Muir, Carrie

2012-01-01

The purpose of this study was to compare the performance of first year college students with similar high school mathematics backgrounds in two introductory level college mathematics courses, "Fundamentals and Techniques of College Algebra and Quantitative Reasoning and Mathematical Skills," and to compare the performance of students…

"Math Makes Me Sweat" The Impact of Pre-Service Courses on Mathematics Anxiety

ERIC Educational Resources Information Center

Johnson, Beth; vanderSandt, Suriza

2011-01-01

We investigate mathematics anxiety amongst education majors currently enrolled as pre-service teachers in special education, deaf and hard of hearing, early childhood and elementary education. The impact of a compulsory freshmen content course and sophomore methodology course on mathematics anxiety for each education major was studied over a two…

The Opinions of Middle School Mathematics Teachers on the Integration of Mathematics Course and Social Issues

ERIC Educational Resources Information Center

Turhan Turkkan, Buket; Karakus, Memet

2018-01-01

The purpose of this study is to examine the opinions of middle school mathematics teachers on the integration of mathematics course and social issues. For this purpose, qualitative research method was used in this study. As for determining the participants of the research, criterion sampling among purposeful sampling methods was used. Being a…

Shifting Pre-Service Teachers' Beliefs about Mathematics Teaching: The Contextual Situation of a Mathematics Methods Course

ERIC Educational Resources Information Center

Jao, Limin

2017-01-01

For pre-service teachers (PSTs) who have been exposed to traditional approaches, teacher education courses can be a revelatory experience in their development as educators. This study explores if Canadian upper elementary/lower secondary (grades 4-10) PSTs change their beliefs about mathematics teaching as a result of taking a mathematics methods…

Student Performance in Mathematics: Should We Be Concerned? Evidence from a Retail Course

ERIC Educational Resources Information Center

Enderson, Mary C.; Mann, Manveer

2018-01-01

This article describes how for many college students the transition to college-level mathematics courses presents new challenges beyond those that were part of the high school experience. In this interdisciplinary study forty-four non-mathematics and non-science majors, enrolled in a retail-buying course, were studied to examine student confidence…

Advanced high school biology in an era of rapid change: a summary of the biology panel report from the NRC Committee on Programs for Advanced Study of Mathematics and Science in American High Schools.

PubMed

Wood, William B

2002-01-01

A recently released National Research Council (NRC) report, Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools, evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study, discipline-specific panels were formed to evaluate advanced programs in biology, chemistry, physics, and mathematics. Among the conclusions of the Content Panel for Biology were that AP courses in particular suffer from inadequate quality control as well as excessive pressure to fulfill their advanced placement function, which encourages teachers to attempt coverage of all areas of biology and emphasize memorization of facts rather than in-depth understanding. In this essay, the Panel's principal findings are discussed, with an emphasis on its recommendation that colleges and universities should be strongly discouraged from using performance on either the AP examination or the IB examination as the sole basis for automatic placement out of required introductory courses for biology majors and distribution requirements for nonmajors.

Advanced High School Biology in an Era of Rapid Change: A Summary of the Biology Panel Report from the NRC Committee on Programs for Advanced Study of Mathematics and Science in American High Schools

PubMed Central

2002-01-01

A recently released National Research Council (NRC) report, Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools, evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study, discipline-specific panels were formed to evaluate advanced programs in biology, chemistry, physics, and mathematics. Among the conclusions of the Content Panel for Biology were that AP courses in particular suffer from inadequate quality control as well as excessive pressure to fulfill their advanced placement function, which encourages teachers to attempt coverage of all areas of biology and emphasize memorization of facts rather than in-depth understanding. In this essay, the Panel's principal findings are discussed, with an emphasis on its recommendation that colleges and universities should be strongly discouraged from using performance on either the AP examination or the IB examination as the sole basis for automatic placement out of required introductory courses for biology majors and distribution requirements for nonmajors. PMID:12669097

STUDY OF VARIABLES ASSOCIATED WITH FINAL GRADES IN MATHEMATICS COURSES.

ERIC Educational Resources Information Center

DAVIS, ELTON C.; RISSER, JOHN J.

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

Conversations about curriculum change: mathematical thinking and team-based learning in a discrete mathematics course

NASA Astrophysics Data System (ADS)

Paterson, Judy; Sneddon, Jamie

2011-10-01

This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused on what he calls the 'unspoken curriculum': mathematical thinking. We consider the ways in which the TBL model promoted and enabled this in the light of literature on mathematical thinking, sense-making and behaviours, and strongly suggest that this approach warrants more attention from the mathematics teaching community. We also discuss shifts in the mathematician's thinking about task construction as he refined the tasks to encourage students to think and behave like mathematicians.

A Multi-Institutional Study of High School Mathematics Curricula and College Mathematics Achievement and Course Taking

ERIC Educational Resources Information Center

Harwell, Michael R.; Post, Thomas R.; Medhanie, Amanuel; Dupuis, Danielle N.; LeBeau, Brandon

2013-01-01

This study examined the relationship between high school mathematics curricula and student achievement and course-taking patterns over 4 years of college course taking for a sample of over 10,000 students from 32 postsecondary 4-year institutions. Three types of curricula were studied: National Science Foundation (NSF) funded curricula, the…

The Views of Mathematics Teachers on the Factors Affecting the Integration of Technology in Mathematics Courses

ERIC Educational Resources Information Center

Kaleli-Yilmaz, Gül

2015-01-01

The aim of this study was to determine the views of mathematics teachers on the factors that affect the integration of technology in mathematic courses. It is a qualitative case study. The sample size of the study is 10 teachers who are receiving postgraduate education in a university in Turkey. The current study was conducted in three stages. At…

ACHP | "The Section 106 Advanced" Course

Science.gov Websites

Working with Section 106 Federal, State, & Tribal Programs Training & Education Publications Search skip specific nav links Home arrow Training and Education arrow Advanced Section 106 Seminar Essentials Training Course? Looking for the Section 106 Basics Course? Course Description An in-depth look at

Influences of Technology Integrated Professional Development Course on Mathematics Teachers

ERIC Educational Resources Information Center

Kul, Umit

2018-01-01

The aim of this study was to explore the degree to which a professional development (PD) program designed using GeoGebra influences a group of Turkish middle school teachers' beliefs in relation to mathematics and role of GeoGebra in mathematics education. In order to collect the required data, the PD course was established to provide six teachers…

Total Quality Management in the Classroom: Applications to University-Level Mathematics.

ERIC Educational Resources Information Center

Williams, Frank

1995-01-01

Describes a Total Quality Management-based system of instruction that is used in a variety of undergraduate mathematics courses. The courses that incorporate this approach include mathematics appreciation, introductory calculus, and advanced applied linear algebra. (DDR)

Reframing Research on Methods Courses to Inform Mathematics Teacher Educators' Practice

ERIC Educational Resources Information Center

Kastberg, Signe E.; Tyminski, Andrew M.; Sanchez, Wendy B.

2017-01-01

Calls have been made for the creation of a shared knowledge base in mathematics teacher education with the power to inform the design of scholarly inquiry and mathematics teacher educators' (MTEs) scholarly practices. Focusing on mathematics methods courses, we summarize and contribute to literature documenting activities MTEs use in mathematics…

Effects of Mathematics Integration in a Teaching Methods Course on Mathematics Ability of Preservice Agricultural Education Teachers

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2014-01-01

The purpose of this study was to determine the effects of incorporating mathematics teaching and integration strategies (MTIS) in a teaching methods course on preservice agricultural teachers' mathematics ability. The research design was quasi-experimental and utilized a nonequivalent control group. The MTIS treatment had a positive effect on the…

Development of Mathematics Course Attitude Scale: A Preliminary Study of Validity & Reliability

ERIC Educational Resources Information Center

Eskici, Menekse; Ilgaz, Gökhan; Aricak, Osman Tolga

2017-01-01

The aim of this research is to develop a Mathematics Course Attitude Scale to measure high school students' attitudes towards mathematics and to test the validity and reliability of this scale. It is also aimed to reveal whether there are significant differences in school students' attitudes towards mathematics according to their gender and…

Gestures and Insight in Advanced Mathematical Thinking

ERIC Educational Resources Information Center

Yoon, Caroline; Thomas, Michael O. J.; Dreyfus, Tommy

2011-01-01

What role do gestures play in advanced mathematical thinking? We argue that the role of gestures goes beyond merely communicating thought and supporting understanding--in some cases, gestures can help generate new mathematical insights. Gestures feature prominently in a case study of two participants working on a sequence of calculus activities.…

Determinants of High Schools' Advanced Course Offerings

ERIC Educational Resources Information Center

Iatarola, Patrice; Conger, Dylan; Long, Mark C.

2011-01-01

This article examines the factors that determine a high school's probability of offering Advanced Placement (AP) and International Baccalaureate (IB) courses. The likelihood that a school offers advanced courses, and the number of sections that it offers, is largely driven by having a critical mass of students who enter high school with…

Analyzing the Teaching of Advanced Mathematics Courses via the Enacted Example Space

ERIC Educational Resources Information Center

Fukawa-Connelly, Timothy Patrick; Newton, Charlene

2014-01-01

Examples are believed to be very important in developing conceptual understanding of mathematical ideas, useful both in mathematics research and instruction (Bills & Watson in "Educational Studies in Mathematics" 69:77-79, 2008; Mason & Watson, 2008; Bills & Tall, 1998; Tall & Vinner, 1981). In this study, we draw on the…

Similarities and Differences in Classroom Interaction between Remedial and College Mathematics Courses in a Community College

ERIC Educational Resources Information Center

Mesa, V.

2011-01-01

Through an analysis of instruction in mathematics classrooms at a community college, the author describes the nature of the interaction and the complexity of the mathematical activities evident in two types of courses: remedial and science, technology, engineering, and mathematics (STEM) college preparatory courses. Although both types of courses…

Pre-Service Science Teachers' Perceptions of Mathematics Courses in a Science Teacher Education Programme

ERIC Educational Resources Information Center

Incikabi, Lutfi; Serin, Mehmet Koray

2017-01-01

Most science departments offer compulsory mathematics courses to their students with the expectation that students can apply their experience from the mathematics courses to other fields of study, including science. The current study first aims to investigate the views of pre-service science teachers of science-teaching preparation degrees and…

Using Financial Calculators in a Business Mathematics Course.

ERIC Educational Resources Information Center

Heller, William H.; Taylor, Monty B.

2000-01-01

Discusses the authors' experiences with integrating financial calculators into a business mathematics course. Presents a brief overview of the operation of financial calculators, reviews some of the more common models, discusses how to use the equation solver utility on other calculators to emulate a financial calculator, and explores the…

Factors Affecting the Performance of Students in University Remedial Mathematics Courses

ERIC Educational Resources Information Center

Aoude, Solange G.

2013-01-01

The importance of mathematics is growing in all scientific and technological fields. Lebanese universities, in particular Notre Dame University-Louaize, require students to take a pool of mathematics courses in their scientific and engineering programs. Based on their scores on the university entrance exam, students accepted to the university…

High-Ability Women and Men in Undergraduate Mathematics and Chemistry Courses.

ERIC Educational Resources Information Center

Bali, John; And Others

1985-01-01

Using samples of college students of very high ability and strong academic background, sex differences in performance and perceptions of performance in introductory chemistry and mathematics courses were studied. Considerable differences favoring men were found, and these appeared to be due primarily to differences in mathematics background.…

Implementation and outcomes of inquiry-based learning in mathematics content courses for pre-service teachers

NASA Astrophysics Data System (ADS)

Laursen, Sandra L.; Hassi, Marja-Liisa; Hough, Sarah

2016-02-01

This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities, separately targeting elementary and secondary pre-service teachers. Classroom observation established that the courses were taught with student-centred methods that were comparable to those used in IBL courses for students in mathematics-intensive fields at the same institutions. To measure pre-service teachers' gains in mathematical knowledge for teaching, we administered the Learning Mathematics for Teaching (LMT) instrument developed by Hill, Ball and Schilling for in-service teacher professional development. Results from the LMT show that pre-service teachers made significant score gains from beginning to end of their course, while data from interviews and from surveys of learning gains show that pre-service teachers viewed their gains as relevant to their future teaching work. Measured changes on pre-/post-surveys of attitudes and beliefs were generally supportive of learning mathematics but modest in magnitude. The study is distinctive in applying the LMT to document pre-service teachers' growth in mathematical knowledge for teaching. The study also suggests IBL is an approach well suited to mathematics departments seeking to strengthen their pre-service teacher preparation offerings in ways consistent with research-based recommendations.

Investigating Mathematics Self-Efficacy Beliefs of Elementary Pre-Service Teachers in a Reform-Based Mathematics Methods Course

ERIC Educational Resources Information Center

Setra, Abdelghani

2017-01-01

For the last thirty years research has unfailingly shown that teacher efficacy has a positive impact on student outcomes, making teacher efficacy an critical element in quality mathematics instruction. The purpose of this study is to examine the impact of a math methods course on the mathematics teaching efficacy beliefs of elementary pre-service…

Variability in Anxiety for Teaching Mathematics among Pre-service Elementary School Teachers Enrolled in a Mathematics Course.

ERIC Educational Resources Information Center

Levine, Gavrielle

This investigation traced changes in anxiety for teaching mathematics (ATM) among pre-service elementary school teachers (n=36) enrolled in a mathematics methods course by analyzing their weekly journal entries. Journal entries were coded for high level of ATM (ATM-high) or absence of ATM (ATM-absent) during the first class session, as well as…

Adding structure to the transition process to advanced mathematical activity

NASA Astrophysics Data System (ADS)

Engelbrecht, Johann

2010-03-01

The transition process to advanced mathematical thinking is experienced as traumatic by many students. Experiences that students had of school mathematics differ greatly to what is expected from them at university. Success in school mathematics meant application of different methods to get an answer. Students are not familiar with logical deductive reasoning, required in advanced mathematics. It is necessary to assist students in this transition process, in moving from general to mathematical thinking. In this article some structure is suggested for this transition period. This essay is an argumentative exposition supported by personal experience and international literature. This makes this study theoretical rather than empirical.

NTTC Course 315: Advanced Water Examination.

ERIC Educational Resources Information Center

Department of the Navy, Washington, DC.

This publication is the examination booklet used for a home study course in water treatment. This course is the advanced part of a series produced by the Department of the Navy. This publication is designed to be used in conjunction with a course textbook. Each of the four examinations contained in this document are referenced to a specific…

The Effect of Project-Based Learning on Student Self-Efficacy in a Developmental Mathematics Course

ERIC Educational Resources Information Center

Deutsch, Melissa

2017-01-01

Each year, post-secondary institutions across the nation enroll thousands of students into developmental mathematics courses. Success rates are low for students placed in developmental mathematics courses employing traditional teaching practices. Secondary institutions utilizing more engaging pedagogies and high impact practices, such as…

Teacher Leaders: Advancing Mathematics Learning

ERIC Educational Resources Information Center

Kinzer, Cathy J.; Rincón, Mari; Ward, Jana; Rincón, Ricardo; Gomez, Lesli

2014-01-01

Four elementary school instructors offer insights into their classrooms, their unique professional roles, and their leadership approaches as they reflect on their journey to advance teacher and student mathematics learning. They note a "teacher leader" serves as an example to other educators and strives to impact student learning;…

Topics in Computer Literacy as Elements of Two Introductory College Mathematics Courses.

ERIC Educational Resources Information Center

Spresser, Diane M.

1986-01-01

Explains the integrated approach implemented by James Madison University, Virginia, in enhancing computer literacy. Reviews the changes in the mathematics courses and provides topical listings and outlines of the courses that emphasize computer applications. (ML)

Chaos: A Mathematical Introduction

NASA Astrophysics Data System (ADS)

Banks, John; Dragan, Valentina; Jones, Arthur

2003-06-01

This text presents concepts on chaos in discrete time dynamics that are accessible to anyone who has taken a first course in undergraduate calculus. Retaining its commitment to mathematical integrity, the book, originating in a popular one-semester middle level undergraduate course, constitutes the first elementary presentation of a traditionally advanced subject.

Teaching Undergraduate Mathematics in Interactive Groups: How Does It Fit with Students' Learning?

ERIC Educational Resources Information Center

Sheryn, Louise; Ell, Fiona

2014-01-01

Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in…

The Impact of Institutional Factors on the Relationship Between High School Mathematics Curricula and College Mathematics Course-Taking and Achievement

ERIC Educational Resources Information Center

Harwell, Michael

2013-01-01

Meta-analytic methods were used to examine the moderating effect of institutional factors on the relationship between high school mathematics curricula and college mathematics course-taking and achievement from a sample of 32 colleges. The findings suggest that the impact of curriculum on college mathematics outcomes is not generally moderated by…

How to build a course in mathematical-biological modeling: content and processes for knowledge and skill.

PubMed

Hoskinson, Anne-Marie

2010-01-01

Biological problems in the twenty-first century are complex and require mathematical insight, often resulting in mathematical models of biological systems. Building mathematical-biological models requires cooperation among biologists and mathematicians, and mastery of building models. A new course in mathematical modeling presented the opportunity to build both content and process learning of mathematical models, the modeling process, and the cooperative process. There was little guidance from the literature on how to build such a course. Here, I describe the iterative process of developing such a course, beginning with objectives and choosing content and process competencies to fulfill the objectives. I include some inductive heuristics for instructors seeking guidance in planning and developing their own courses, and I illustrate with a description of one instructional model cycle. Students completing this class reported gains in learning of modeling content, the modeling process, and cooperative skills. Student content and process mastery increased, as assessed on several objective-driven metrics in many types of assessments.

Desegregating undergraduate mathematics and biology--interdisciplinary instruction with emphasis on ongoing biomedical research.

PubMed

Robeva, Raina

2009-01-01

The remarkable advances in the field of biology in the last decade, specifically in the areas of biochemistry, genetics, genomics, proteomics, and systems biology, have demonstrated how critically important mathematical models and methods are in addressing questions of vital importance for these disciplines. There is little doubt that the need for utilizing and developing mathematical methods for biology research will only grow in the future. The rapidly increasing demand for scientists with appropriate interdisciplinary skills and knowledge, however, is not being reflected in the way undergraduate mathematics and biology courses are structured and taught in most colleges and universities nationwide. While a number of institutions have stepped forward and addressed this need by creating and offering interdisciplinary courses at the juncture of mathematics and biology, there are still many others at which there is little, if any, interdisciplinary interaction between the curricula. This chapter describes an interdisciplinary course and a textbook in mathematical biology developed collaboratively by faculty from Sweet Briar College and the University of Virginia School of Medicine. The course and textbook are designed to provide a bridge between the mathematical and biological sciences at the lower undergraduate level. The course is developed for and is being taught in a liberal arts setting at Sweet Briar College, Virginia, but some of the advanced modules are used in a course at the University of Virginia for advanced undergraduate and beginning graduate students. The individual modules are relatively independent and can be used as stand-alone projects in conventional mathematics and biology courses. Except for the introductory material, the course and textbook topics are based on current biomedical research.

Factors affecting student success in a first-year mathematics course: a South African experience

NASA Astrophysics Data System (ADS)

Kizito, Rita; Munyakazi, Justin; Basuayi, Clement

2016-01-01

In spite of sustained efforts tertiary institutions implement to try and improve student academic performance, the number of students succeeding in first-year mathematics courses remains disturbingly low. For most students, the gap between their mathematical capability and the competencies they are expected and need to develop to function effectively in these courses persists even after course instruction. In this study, an instrument for identifying and examining factors affecting student performance and success in a first-year Mathematics university course was developed and administered to 86 students. The overall Cronbach's Alpha coefficient for the questionnaire was found to be 0.916. Having identified variables from prior research known to affect student performance, factor analysis was used to identify variables exhibiting the greatest impact on student performance. The variables included prior academic knowledge, workload, student approaches to learning, assessment, student support teaching quality, methods and resources. From the analysis, students' perceptions of their workload emerged as the factor having the greatest impact on student's performance, followed by the matriculation examination score. The findings are discussed and strategies that can be used to improve teaching and contribute to student success in a first-year mathematics course in a South African context are presented.

A Critical Evaluation of Mathematics Courses in Architectural Education and Practice

ERIC Educational Resources Information Center

Cikis, Seniz

2010-01-01

Mathematics courses are integral part of architectural education. The content and objectives of these courses were determined in the Age of Enlightenment. Although conditions have changed since then, they still exist without being subjected to a radical revision. This study aims to introduce the necessary information for upgrading the content of…

Using e-Learning Platforms for Mastery Learning in Developmental Mathematics Courses

ERIC Educational Resources Information Center

Boggs, Stacey; Shore, Mark; Shore, JoAnna

2004-01-01

Many colleges and universities have adopted e-learning platforms to utilize computers as an instructional tool in developmental (i.e., beginning and intermediate algebra) mathematics courses. An e-learning platform is a computer program used to enhance course instruction via computers and the Internet. Allegany College of Maryland is currently…

A Course Which Used Programming to Aid Learning Various Mathematical Concepts.

ERIC Educational Resources Information Center

Day, Jane M.

A three unit mathematics course entitled Introduction to Computing evaluated the effectiveness of programing as an aid to learning math concepts and to developing student self-reliance. Sixteen students enrolled in the course at the College of Notre Dame in Belmont, California; one terminal was available, connected to the Stanford Computation…

Patterns of Instructional Discourse that Promote the Perception of Mastery Goals in a Social Constructivist Mathematics Course

ERIC Educational Resources Information Center

Morrone, Anastasia Steffen; Harkness, Shelly S.; D'Ambrosio, Beatriz; Caulfield, Richard

2004-01-01

Elementary education students enrolled in an experimental mathematics course participated in this study. The course is taught using a social constructivist approach and is designed to improve students' mathematical problem-solving ability and deepen their understanding of mathematics. The research question for the present study is as follows: In…

Integrating quantitative thinking into an introductory biology course improves students' mathematical reasoning in biological contexts.

PubMed

Hester, Susan; Buxner, Sanlyn; Elfring, Lisa; Nagy, Lisa

2014-01-01

Recent calls for improving undergraduate biology education have emphasized the importance of students learning to apply quantitative skills to biological problems. Motivated by students' apparent inability to transfer their existing quantitative skills to biological contexts, we designed and taught an introductory molecular and cell biology course in which we integrated application of prerequisite mathematical skills with biology content and reasoning throughout all aspects of the course. In this paper, we describe the principles of our course design and present illustrative examples of course materials integrating mathematics and biology. We also designed an outcome assessment made up of items testing students' understanding of biology concepts and their ability to apply mathematical skills in biological contexts and administered it as a pre/postcourse test to students in the experimental section and other sections of the same course. Precourse results confirmed students' inability to spontaneously transfer their prerequisite mathematics skills to biological problems. Pre/postcourse outcome assessment comparisons showed that, compared with students in other sections, students in the experimental section made greater gains on integrated math/biology items. They also made comparable gains on biology items, indicating that integrating quantitative skills into an introductory biology course does not have a deleterious effect on students' biology learning.

Integrating Quantitative Thinking into an Introductory Biology Course Improves Students’ Mathematical Reasoning in Biological Contexts

PubMed Central

Hester, Susan; Buxner, Sanlyn; Elfring, Lisa; Nagy, Lisa

2014-01-01

Recent calls for improving undergraduate biology education have emphasized the importance of students learning to apply quantitative skills to biological problems. Motivated by students’ apparent inability to transfer their existing quantitative skills to biological contexts, we designed and taught an introductory molecular and cell biology course in which we integrated application of prerequisite mathematical skills with biology content and reasoning throughout all aspects of the course. In this paper, we describe the principles of our course design and present illustrative examples of course materials integrating mathematics and biology. We also designed an outcome assessment made up of items testing students’ understanding of biology concepts and their ability to apply mathematical skills in biological contexts and administered it as a pre/postcourse test to students in the experimental section and other sections of the same course. Precourse results confirmed students’ inability to spontaneously transfer their prerequisite mathematics skills to biological problems. Pre/postcourse outcome assessment comparisons showed that, compared with students in other sections, students in the experimental section made greater gains on integrated math/biology items. They also made comparable gains on biology items, indicating that integrating quantitative skills into an introductory biology course does not have a deleterious effect on students’ biology learning. PMID:24591504

The Effect of an Integrated Science and Mathematics Content-Based Course on Science and Mathematics Teaching Efficacy of Preservice Elementary Teachers

ERIC Educational Resources Information Center

Moseley, Christine; Utley, Juliana

2006-01-01

The purpose of this study was to determine the effect of an earth systems science course (integrated mathematics and science content) on preservice elementary teachers' mathematics and science teaching efficacy. Paired t-tests revealed that the personal mathematics and science teaching efficacy and science teaching outcome expectancy significantly…

The Advanced Course in Professional Selling

ERIC Educational Resources Information Center

Loe, Terry; Inks, Scott

2014-01-01

More universities are incorporating sales content into their curriculums, and although the introductory courses in professional sales have much common ground and guidance from numerous professional selling texts, instructors teaching the advanced selling course lack the guidance provided by common academic tools and materials. The resulting…

Mathematical Sense, Mathematical Sensibility: The Role of the Secondary Geometry Course in Teaching Students to Be Like Mathematicians

ERIC Educational Resources Information Center

Weiss, Michael Kevin

2009-01-01

How can the secondary Geometry course serve as an opportunity for students to learn to "be like" a mathematician--that is, to acquire a mathematical sensibility? In the first part of this dissertation, I investigate what might be meant by "mathematical sensibility". By analyzing narratives of mathematicians and their work, I identify a collection…

The Psychosocial Factors Contributing to the Underrepresentation of African American Males in Advanced High School Mathematics Courses

ERIC Educational Resources Information Center

Rowlett, Joel Everett

2013-01-01

This case study examined the beliefs of African American males on the psychosocial and pedagogical factors contributing to the underrepresentation of African American males in advanced high school math courses. Six 11th grade African American male juniors from a large, comprehensive, Southeastern high school served as individual cases. Within- and…

Primary Trait Analysis to Assess a Learner-Centered, Upper-Level Mathematics Course

ERIC Educational Resources Information Center

Alsardary, Salar; Pontiggia, Laura; Hamid, Mohammed; Blumberg, Phyllis

2011-01-01

This study presents a primary trait analysis of a learner-centered, discrete mathematics course based on student-to-student instruction. The authors developed a scoring rubric for the primary traits: conceptual knowledge, procedural knowledge, application of understanding, and mathematical communication skills. Eleven students took an exam…

The Mathematics Education of Elementary Teachers: Issues and Strategies for Content Courses

ERIC Educational Resources Information Center

Hart, Lynn C., Ed.; Oesterle, Susan, Ed.; Auslander, Susan Swars, Ed.; Kajander, Ann, Ed.

2016-01-01

This book is an edited volume addressing specific issues of significance for individuals involved with the undergraduate mathematics content preparation of prospective elementary teachers (PSTs). Teaching mathematics content courses to this group of students presents unique challenges. While some PSTs enter their teacher preparation with weak…

Conditional Inference and Advanced Mathematical Study: Further Evidence

ERIC Educational Resources Information Center

Inglis, Matthew; Simpson, Adrian

2009-01-01

In this paper, we examine the support given for the "theory of formal discipline" by Inglis and Simpson (Educational Studies Mathematics 67:187-204, "2008"). This theory, which is widely accepted by mathematicians and curriculum bodies, suggests that the study of advanced mathematics develops general thinking skills and, in particular, conditional…

The Mathematics Education I and II Courses' Effect on Teacher Candidates' Development of Number Sense

ERIC Educational Resources Information Center

Yaman, Hakan

2015-01-01

The purpose of this research is to examine the number sense performance of the classroom teacher candidates taking the Mathematics Education I and II courses. Moreover, it investigates whether there is a change in the number sense performance of the teacher candidates following the Mathematics Education I and II courses. Embedded experimental…

The Relationship of High School Preparation in Mathematics to the Enrollment of College Freshman in Postsecondary Developmental Mathematics Courses

ERIC Educational Resources Information Center

Lang, Erick

2012-01-01

A student's mathematical preparation is important in readiness for postsecondary study and ultimately success in a global job market. Nationally, a significant number of students are leaving high school unprepared for college-level course work in mathematics. A 2008 National Center for Educational Statistics report on Community Colleges indicates…

A mathematics content course and teaching efficacy beliefs of undergraduate majors in education.

PubMed

Alkhateeb, Haitham M; Abed, Adnan S

2003-10-01

This study was designed to assess the mathematics teaching efficacy beliefs of undergraduates in elementary education through a manipulative-based course in mathematics. Responses of 106 university undergraduates to the 21-item Mathematics Teaching Efficacy Beliefs administered as pre- and posttest without a control group showed a significant immediate postcourse change in their efficacy beliefs using dependent t test.

Becoming a Teacher Educator: A Self-Study of the Use of Inquiry in a Mathematics Methods Course

ERIC Educational Resources Information Center

Marin, Katherine Ariemma

2014-01-01

This article details the self-study of a beginning teacher educator in her first experience in teaching a mathematics methods course. The transition from teacher to teacher educator is explored through the experience of a course focused on inquiry. Inquiry is embedded within the course from two perspectives: mathematical inquiry and teaching as…

HIDDEN DISPARITIES: HOW COURSES AND CURRICULA SHAPE OPPORTUNITIES IN MATHEMATICS DURING HIGH SCHOOL1

PubMed Central

Schiller, Kathryn S.; Schmidt, William H.; Muller, Chandra; Houang, Richard

2011-01-01

Efforts to promote academic achievement by increasing access to courses, especially in mathematics, may mask educational disparities if variations in curriculum are not also monitored. A multi-dimensional description of students’ mathematics curricula during high school was obtained from analyses of surveys, transcripts, and textbooks collected for a nationally representative study of adolescents during the mid-1990s. Few gaps in the number of years or credits in mathematics coursework were found. However, the quantity and cognitive challenge of instructional materials in textbooks adopted for those courses differed significantly both across and within mathematics tracks. Differences in the quality of curriculum accumulating during high school were also related to parents’ education level. Reducing such gaps in learning opportunities would require teachers to supplement adopted instructional materials to ensure that all students receive a high quality mathematics curriculum. PMID:23554547

Free Radical Addition Polymerization Kinetics without Steady-State Approximations: A Numerical Analysis for the Polymer, Physical, or Advanced Organic Chemistry Course

ERIC Educational Resources Information Center

Iler, H. Darrell; Brown, Amber; Landis, Amanda; Schimke, Greg; Peters, George

2014-01-01

A numerical analysis of the free radical addition polymerization system is described that provides those teaching polymer, physical, or advanced organic chemistry courses the opportunity to introduce students to numerical methods in the context of a simple but mathematically stiff chemical kinetic system. Numerical analysis can lead students to an…

Designing and Implementing a New Advanced Level Biology Course

ERIC Educational Resources Information Center

Hall, Angela; Reiss, Michael J.; Rowell, Cathy; Scott, Anne

2003-01-01

Salters-Nuffield Advanced Biology is a new advanced level biology course, piloted from September 2002 in England with around 1200 students. This paper discusses the reasons for developing a new advanced biology course at this time, the philosophy of the project and how the materials are being written and the specification devised. The aim of the…

Examining School Counselor Influence on the Placement of Ninth-Grade Students into Mathematics Courses: An Analysis of the High School Longitudinal Study of 2009

ERIC Educational Resources Information Center

Bradley-Lambright, Portia Elizabeth

2016-01-01

The purpose of this quantitative study was to understand the placement of ninth-grade students within advanced mathematics courses. High school counselors are often criticized for being an ineffective resource in the placement of students of color and low-income students into such classes; even though their professional mandates state that they…

Reassessing the Economic Value of Advanced Level Mathematics

ERIC Educational Resources Information Center

Adkins, Michael; Noyes, Andrew

2016-01-01

In the late 1990s, the economic return to Advanced level (A-level) mathematics was examined. The analysis was based upon a series of log-linear models of earnings in the 1958 National Child Development Survey (NCDS) and the National Survey of 1980 Graduates and Diplomates. The core finding was that A-level mathematics had a unique earnings premium…

Comparative Validity of the Descriptive Tests of Mathematical Skills (DTMS) and SAT-Mathematics (SAT-M) for Predicting Performance in Freshman College Mathematics Courses: Prefatory Report

ERIC Educational Resources Information Center

McLoughlin, M. Padraig M. M.; Bluford, Dontrell A.

2004-01-01

This study investigated the predictive validity of the Descriptive Tests of Mathematical Skills (DTMS) and the SAT-Mathematics (SAT-M) tests as placement tools for entering students in a small, liberal arts, historically black institution (HBI) using regression analysis. The placement schema is four-tiered: for a remedial algebra course, college…

Student-Produced Videos for Exam Review in Mathematics Courses

ERIC Educational Resources Information Center

Hulsizer, Heidi

2016-01-01

Videos have been used in classrooms for decades, but student-produced video has recently become a viable, economical option to enhance learning. Students were asked to create videos to be used for their exam review in two different undergraduate mathematics courses: Differential Equation and Complex Analysis. Students were then surveyed about…

Pre-service Mathematics Teachers' Knowledge of History of Mathematics and Their Attitudes and Beliefs Towards Using History of Mathematics in Mathematics Education

NASA Astrophysics Data System (ADS)

Alpaslan, Mustafa; Işıksal, Mine; Haser, Çiğdem

2014-01-01

This study examined pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4-8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males' knowledge scores are significantly higher than females' scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers' knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers' positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future.

A Study of Placement and Grade Prediction in First College Mathematics Courses

ERIC Educational Resources Information Center

Madison, Bernard L.; Linde, Cassandra S.; Decker, Blake R.; Rigsby, E. Myron; Dingman, Shannon W.; Stegman, Charles E.

2015-01-01

A college mathematics placement test with 25 basic algebra items and 15 calculus readiness items was administered to 1572 high school seniors, and first college mathematics course grades were obtained for 319 of these students. Test results indicated that more than two thirds of the high school graduates were not college ready, and the test…

A Progress Report on an Exploratory Mathematics Course: Incorporating a Programming Component

ERIC Educational Resources Information Center

Goldberg, Robert; Waxman, Jerry

2004-01-01

This paper reports on an ongoing effort to incorporate a programming component into exploratory mathematics courses and analyzes some of the many practical considerations required for successfully managing such a course in large lecture hall classes. Two pedagogical paradigms (top-down and bottom-up) are compared and contrasted for teaching Visual…

Enhancing Core Mathematics Courses

ERIC Educational Resources Information Center

Billings, Esther; Schlicker, Steven; Novotny, Karen; Tefera, Akalu

2004-01-01

The Departments of Mathematics and Statistics at Grand Valley State University are engaged in a project to address the mathematical preparation of all its majors, including prospective elementary and secondary mathematics teachers. In this article, we describe how the mathematics and mathematics education faculty in our mathematics department…

High Level Technology in a Low Level Mathematics Course.

ERIC Educational Resources Information Center

Schultz, James E.; Noguera, Norma

2000-01-01

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

Adding Structure to the Transition Process to Advanced Mathematical Activity

ERIC Educational Resources Information Center

Engelbrecht, Johann

2010-01-01

The transition process to advanced mathematical thinking is experienced as traumatic by many students. Experiences that students had of school mathematics differ greatly to what is expected from them at university. Success in school mathematics meant application of different methods to get an answer. Students are not familiar with logical…

Using the Computer Algebra System "Maple" to Generate Research Questions for Pre-Service Teachers in a Capstone Course

ERIC Educational Resources Information Center

Farley, Rosemary Carroll

2013-01-01

At Manhattan College, secondary mathematics education students take a capstone course designed specifically for them. In this course, students revisit important topics in the high school curriculum from a mathematically advanced perspective; incorporating the mathematical knowledge they have attained in their college mathematics classes to an…

Knowing and Teaching Middle School Mathematics: A Professional Development Course for In-Service Teachers

ERIC Educational Resources Information Center

Anderson, Celia Rousseau; Hoffmeister, April M.

2007-01-01

This article describes a professional development course intended to improve the content understanding of middle school mathematics teachers. The design of the course included three professional learning strategies: problem solving, examination of student thinking, and discussion of research. The concepts studied in the course included multi-digit…

Examining the Links between Grade 12 Mathematics and Remedial Courses in Nevada Public Colleges and Universities. Issues & Answers. REL 2008-No. 058

ERIC Educational Resources Information Center

Fong, Anthony B.; Huang, Min; Goel, Aditi M.

2008-01-01

This study examines the links between Nevada's grade 12 mathematics courses and remedial mathematics courses in Nevada's public colleges and universities. It analyzes remediation rates by students' highest grade 12 mathematics course level and mathematics grade point average and by various student and school characteristics. The study was guided…

Impact of a Required Pharmaceutical Calculations Course on Mathematics Ability and Knowledge Retention

PubMed Central

Buring, Shauna M.; Papas, Elizabeth

2013-01-01

Objective. To assess doctor of pharmacy (PharmD) students’ mathematics ability by content area before and after completing a required pharmaceutical calculations course and to analyze changes in scores. Methods. A mathematics skills assessment was administered to 2 cohorts of pharmacy students (class of 2013 and 2014) before and after completing a pharmaceutical calculations course. The posttest was administered to the second cohort 6 months after completing the course to assess knowledge retention. Results. Both cohorts performed significantly better on the posttest (cohort 1, 13% higher scores; cohort 2, 15.9% higher scores). Significant improvement on posttest scores was observed in 6 of the 10 content areas for cohorts 1 and 2. Both cohorts scored lower in percentage calculations on the posttest than on the pretest. Conclusions. A required, 1-credit-hour pharmaceutical calculations course improved PharmD students’ overall ability to perform fundamental and application-based calculations. PMID:23966727

Impact of a required pharmaceutical calculations course on mathematics ability and knowledge retention.

PubMed

Hegener, Michael A; Buring, Shauna M; Papas, Elizabeth

2013-08-12

To assess doctor of pharmacy (PharmD) students' mathematics ability by content area before and after completing a required pharmaceutical calculations course and to analyze changes in scores. A mathematics skills assessment was administered to 2 cohorts of pharmacy students (class of 2013 and 2014) before and after completing a pharmaceutical calculations course. The posttest was administered to the second cohort 6 months after completing the course to assess knowledge retention. Both cohorts performed significantly better on the posttest (cohort 1, 13% higher scores; cohort 2, 15.9% higher scores). Significant improvement on posttest scores was observed in 6 of the 10 content areas for cohorts 1 and 2. Both cohorts scored lower in percentage calculations on the posttest than on the pretest. A required, 1-credit-hour pharmaceutical calculations course improved PharmD students' overall ability to perform fundamental and application-based calculations.

Secondary School Advanced Mathematics, Chapter 3, Formal Geometry. Teacher's Commentary.

ERIC Educational Resources Information Center

Stanford Univ., CA. School Mathematics Study Group.

This manual was designed for use with the second of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered…

Mathematics and the surgeon.

PubMed Central

Crank, J.

1976-01-01

The surgeon uses elementary mathematics just as much as any other educated layman. In his professional life, however, much of the knowledge and skill on which he relies has had a mathematical strand in its development, possibly woven into the supporting disciplines such as physics, chemistry, biology, and bioengineering. The valves and limitations of mathematical models are examined briefly in the general medical field and particularly in relation to the surgeon. Arithmetic and statistics are usually regarded as the most immediately useful parts of mathematics. Examples are cited, however, of medical postgraduate work which uses other highly advanced mathematical techniques. The place of mathematics in postgraduate and postexperience teaching courses is touched on. The role of a mathematical consultant in the medical team is discussed. PMID:942167

Incorporating Current Research, Wikis, and Discussion Lists in a Mathematics Capstone Course

ERIC Educational Resources Information Center

Narasimhan, Revathi

2009-01-01

This article shows how current mathematical research and innovative internet technologies such as wikis and email discussion lists can enliven a senior seminar or capstone course. We give example of assignments as well as examples of how new technologies can enhance a course. This paper grew out of the author's experience of teaching a senior…

Technology Modeling by Mathematics Professors in Required Courses for Secondary Mathematics Pre-Service Teachers: A Case Study in Two Universities

ERIC Educational Resources Information Center

Asing-Cashman, Joyce G.

2011-01-01

The purpose of this qualitative case study was to examine the modeling of technology by mathematics professors in two universities in teaching required courses for secondary level pre-service mathematics teachers. Six professors participated in this case study. Their responses were documented in pre- and post-interviews and data were gathered from…

Participation Rates in High School Mathematics and Science Courses.

ERIC Educational Resources Information Center

Remick, Helen; Miller, Kathy

The natural sciences and engineering are two of the areas of employment with low participation rates of women and minorities. This article explores as a possible cause, the rate of enrollment of these groups in mathematics and science courses in high school. Results include data showing that all females and non-Asian males take less college…

Middle School Mathematics: 2006-07 to 2008-09. Impact Evaluation. E&R Report No. 10.11

ERIC Educational Resources Information Center

Paeplow, Colleen

2010-01-01

In 2006-07, seven Wake County Public School System (WCPSS) middle schools piloted Algebraic Thinking as an alternate approach to teaching middle school mathematics. Algebraic Thinking was developed to help students in grade 6 reach higher mathematics courses by combining the regular and advanced middle school mathematics courses into one…

Secondary School Advanced Mathematics, Chapter 3, Formal Geometry. Student's Text.

ERIC Educational Resources Information Center

Stanford Univ., CA. School Mathematics Study Group.

This text is the second of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. This volume is devoted to a rigorous development of theorems in plane geometry from 22…

Preparation of course materials: Elementary mathematics of powered flight

NASA Technical Reports Server (NTRS)

Rublein, George T.

1994-01-01

Non-science students at William and Mary will soon be required to take a mathematics course in order to earn a bachelor's degree. A standard menu of technique courses is the usual way in which universities provide for this requirement: Trigonometry, probability, geometry for teachers, and the like. In this work, we attempt to break away from these largely unsuccessful choices. Our intent is to prepare material that sets a variety of simple mathematical procedures in the context of a commonly experienced part of students' lives: riding in commercial airplanes. The work, begun last summer at Langley, is now close to completion and trial in upcoming fall term at William and Mary. As of this writing, the narrative is complete for 12 to 14 projected sections. We have prepared material on wind triangles, wind roses, navigation maps, drag induced loss of velocity for unpowered missiles (tennis balls), luggage and its effect on center of gravity, localized magnetic declination and VOR orientation, geometry of great circles, terminal velocity for falling bodies, pressure vessels: tires and balloons and blimps, global structure of declination lines, map projections (mercator, azimuthal equidistant, Lambert), ears and their reaction to altitude change. The next section will treat lift, drag and thrust. The last will treat control surfaces. The entire approach avoids any effort to investigate mathematical topics that arise in the solution of problems. And by the same token, we avoid any organized attempt to explain aeronautical engineering, even on an elementary level. We look only at enough mathematics to do a problem and we select only engineering topics that permit some kind of (elementary) mathematical analysis. In the end, we will think of the material as successful if two things happen: Students must come away with some confidence that even lay people can quantify parts of their surroundings. Other potential instructors must be willing to gain enough familiarity with the

Stereotype Threat? Male and Female Students in Advanced High School Courses

NASA Astrophysics Data System (ADS)

Corra, Mamadi

Propositions of stereotype threat theory imply that the social consequences of academic distinction in advanced quantitative areas (such as math and the physical sciences) for women may promote the under representation of female students in advanced quantitative academic courses. The hypothesis that female students will be underrepresented in advanced quantitative (honors and advanced placement math and physical science) courses is tested using academic performance and enrollment data for high school students in a "Student/Parent Informed Choice" (open registration) school district in North Carolina. Results show female students to be overrepresented in both advanced verbal/writing intensive (honors and advanced placement English, foreign language, and social science) and advanced quantitative (honors and advanced placement math and physical science) courses compared to their proportion of the student body. More surprisingly, results also indicate female students (compared to male students) to be overrepresented in advanced courses compared to their proportion of high-performing students. Furthermore, as with patterns observed at the district level, additional analysis of enrollment data for the entire state reveals similar results. Taken together, the findings call into question the prevailing presumption that female students continue to be underrepresented in math and physical science courses. Instead, the changing social context within which females and males experience schooling may provide an explanation for the findings.

Mathematical biology modules based on modern molecular biology and modern discrete mathematics.

PubMed

Robeva, Raina; Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network.

Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics

PubMed Central

Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network. PMID:20810955

Collaborating to Improve Inquiry-Based Teaching in Elementary Science and Mathematics Methods Courses

ERIC Educational Resources Information Center

Magee, Paula A.; Flessner, Ryan

2012-01-01

This study examines the effect of promoting inquiry-based teaching (IBT) through collaboration between a science methods course and mathematics methods course in an elementary teacher education program. During the collaboration, preservice elementary teacher (PST) candidates experienced 3 different types of inquiry as a way to foster increased…

Advanced Placement Course Enrollment and School-Level Characteristics

ERIC Educational Resources Information Center

Barnard-Brak, Lucy; McGaha-Garnett, Valerie; Burley, Hansel

2011-01-01

The current study examined access to Advanced Placement (AP) courses as a function of these school characteristics (e.g., percentage of ethnic minority and lower socioeconomic status) and then examined AP course enrollment as a function of both access to AP courses and these school characteristics. Using structural equation modeling techniques,…

Effects of Teacher Preparation Courses: Do Graduates Use What They Learned to Plan Mathematics Lessons?

ERIC Educational Resources Information Center

Morris, Anne K.; Hiebert, James

2017-01-01

We investigated whether the content pre-service teachers studied in elementary teacher preparation mathematics courses was related to their performance on a mathematics lesson planning task 2 and 3 years after graduation. The relevant mathematics knowledge was studied when the teachers were freshmen, 5 to 6 years earlier. Results showed that when…

Developing Mathematical Knowledge for Teaching in a Methods Course: The Case of Function

ERIC Educational Resources Information Center

Steele, Michael D.; Hillen, Amy F.; Smith, Margaret S.

2013-01-01

This study describes teacher learning in a teaching experiment consisting of a content-focused methods course involving the mathematical knowledge for teaching function. Prospective and practicing teachers in the course showed growth in their ability to define function, to provide examples of functions and link them to the definition, in the…

A Hybrid and Flipped Version of an Introductory Mathematics Course for Higher Education

ERIC Educational Resources Information Center

Salinas Martínez, N. Patricia; Quintero Rodríguez, Eliud

2018-01-01

This in practice paper describes the experience of seven lecturers in a hybrid and flipped version of an introductory mathematics course for higher education. In a Mexican university, lecturers adapted to this innovation supported by an adjusted Massive Open Online Course. The experience revealed the relevance of leaving conventional assessment…

Multicultural and Gender Equity Issues in a History of Mathematics Course: Not Only Dead European Males

ERIC Educational Resources Information Center

Flores, Alfinio; Kimpton, Kelly E.

2012-01-01

We address issues related to gender and cultural equity in a history of mathematics course. We first look at the preponderance of male European mathematicians represented in textbooks of mathematics and history or mathematics. Then we discuss ways to highlight the presence of female and non-European mathematicians in the history of mathematics.…

A Mixed Methods Study of Teach for America Teachers' Mathematical Beliefs, Knowledge, and Classroom Teaching Practices during a Reform-Based University Mathematics Methods Course

ERIC Educational Resources Information Center

Swars, Susan Lee

2015-01-01

This mixed methods study examined the mathematical preparation of elementary teachers in a Teach for America (TFA) program, focal participants for whom there is scant extant research. Data collection occurred before and after a university mathematics methods course, with a particular focus on the participants' (n = 22) mathematical beliefs,…

Placement into First College Mathematics Course: A Comparison of the Results of the Michigan State University Proctored Mathematics Placement Examination and the Unproctored Mathematics Placement Examination

ERIC Educational Resources Information Center

Drake, Samuel

2010-01-01

The primary purpose of this study was to compare the results of the Michigan State University (MSU) unproctored examination to the results of the proctored examination. Both examinations are used to determine whether first time freshmen at MSU are ready for a standard mathematics course or if a remedial course is necessary. In addition to…

Predictors of Success in Accelerated and Enrichment Summer Mathematics Courses for Academically Talented Adolescents

ERIC Educational Resources Information Center

Young, Adena E.; Worrell, Frank C.; Gabelko, Nina H.

2011-01-01

In this study, we used logistic regression to examine how well student background and prior achievement variables predicted success among students attending accelerated and enrichment mathematics courses at a summer program (N = 459). Socioeconomic status, grade point average (GPA), and mathematics diagnostic test scores significantly predicted…

Experiences Teaching a Software Aided Mathematics Course for a General University Audience.

ERIC Educational Resources Information Center

McGivney, Raymond J., Jr.

1990-01-01

Described is a nonmajor mathematics course taught using computers and lab experiments. Included are the challenge, solution, description of the first class, problems, successes, the syllabus, student comments, and the conclusion. (KR)

Secondary School Advanced Mathematics, Chapter 8, Systems of Equations. Teacher's Commentary.

ERIC Educational Resources Information Center

Stanford Univ., CA. School Mathematics Study Group.

This manual was designed for use with the last of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

Secondary School Advanced Mathematics, Chapter 8, Systems of Equations. Student's Text.

ERIC Educational Resources Information Center

Stanford Univ., CA. School Mathematics Study Group.

This text is the last of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. In this volume the solution of systems of linear and quadratic equations and inequalities in…

Formative questioning in computer learning environments: a course for pre-service mathematics teachers

NASA Astrophysics Data System (ADS)

Akkoç, Hatice

2015-11-01

This paper focuses on a specific aspect of formative assessment, namely questioning. Given that computers have gained widespread use in learning and teaching, specific attention should be made when organizing formative assessment in computer learning environments (CLEs). A course including various workshops was designed to develop knowledge and skills of questioning in CLEs. This study investigates how pre-service mathematics teachers used formative questioning with technological tools such as Geogebra and Graphic Calculus software. Participants are 35 pre-service mathematics teachers. To analyse formative questioning, two types of questions are investigated: mathematical questions and technical questions. Data were collected through lesson plans, teaching notes, interviews and observations. Descriptive statistics of the number of questions in the lesson plans before and after the workshops are presented. Examples of two types of questions are discussed using the theoretical framework. One pre-service teacher was selected and a deeper analysis of the way he used questioning during his three lessons was also investigated. The findings indicated an improvement in using technical questions for formative purposes and that the course provided a guideline in planning and using mathematical and technical questions in CLEs.

Fostering Students' Preparation and Achievement in Upper Level Mathematics Courses

ERIC Educational Resources Information Center

Celik, Mehmet; Shaqlaih, Ali

2017-01-01

This study describes an intervention to address both motivation, student engagement and preparation in upper-level mathematics courses. The effect of the intervention regarding students' achievements is investigated via students' opinions and data analysis from students' assessments. The results of this study show the featured intervention…

Interdisciplinary training in mathematical biology through team-based undergraduate research and courses.

PubMed

Miller, Jason E; Walston, Timothy

2010-01-01

Inspired by BIO2010 and leveraging institutional and external funding, Truman State University built an undergraduate program in mathematical biology with high-quality, faculty-mentored interdisciplinary research experiences at its core. These experiences taught faculty and students to bridge the epistemological gap between the mathematical and life sciences. Together they created the infrastructure that currently supports several interdisciplinary courses, an innovative minor degree, and long-term interdepartmental research collaborations. This article describes how the program was built with support from the National Science Foundation's Interdisciplinary Training for Undergraduates in Biology and Mathematics program, and it shares lessons learned that will help other undergraduate institutions build their own program.

Informal Content and Student Note-Taking in Advanced Mathematics Classes

ERIC Educational Resources Information Center

Fukawa-Connelly, Timothy; Weber, Keith; Mejía-Ramos, Juan Pablo

2017-01-01

This study investigates 3 hypotheses about proof-based mathematics instruction: (a) that lectures include informal content (ways of thinking and reasoning about advanced mathematics that are not captured by formal symbolic statements), (b) that informal content is usually presented orally but not written on the board, and (c) that students do not…

Determination of the Core Curriculum for the Liberal Arts Mathematics Course at Saddleback College.

ERIC Educational Resources Information Center

Sworder, Steve

A study was conducted to assess faculty and student preferences regarding the goals and content of Saddleback College's (California) liberal arts mathematics course. Following a review of the literature, an extensive list of course goals, content areas, and prior student preparation needs was formed into a questionnaire, which was administered to…

Clickers and Classroom Voting in a Transition to Advanced Mathematics Course

ERIC Educational Resources Information Center

Lockard, Shannon R.; Metcalf, Rebecca C.

2015-01-01

Clickers and classroom voting are used across a number of disciplines in a variety of institutions. There are several papers that describe the use of clickers in mathematics classrooms such as precalculus, calculus, statistics, and even differential equations. This paper describes a method of incorporating clickers and classroom voting in a…

Using Self-Efficacy as a Construct for Evaluating Science and Mathematics Methods Courses

NASA Astrophysics Data System (ADS)

Brand, Brenda R.; Wilkins, Jesse L. M.

2007-04-01

The focus of this study was elementary preservice teachers’ development as effective teachers of science and mathematics as influenced by their participation in elementary science and mathematics methods courses. Preservice teachers’ reports of factors that influenced their perception of their teaching abilities were analyzed according to Bandura’s (1994) 4 sources of efficacy: mastery experiences, vicarious experiences, social persuasion, and stress reduction. This investigation allowed the researchers to evaluate the courses based on these sources. The analysis indicated all 4 sources influenced preservice teachers’ teaching self-efficacy beliefs, with mastery experiences considered the most influential. Embedded within discussions of mastery experiences were references to the other sources of efficacy, which suggest an interrelationship between mastery experiences and the other sources.

Peer-Led Team Learning in Mathematics Courses for Freshmen Engineering and Computer Science Students

ERIC Educational Resources Information Center

Reisel, John R.; Jablonski, Marissa R.; Munson, Ethan; Hosseini, Hossein

2014-01-01

Peer-led Team Learning (PLTL) is an instructional method reported to increase student learning in STEM courses. As mathematics is a significant hurdle for many freshmen engineering students, a PLTL program was implemented for students to attempt to improve their course performance. Here, an analysis of PLTL for freshmen engineering students in…

Observation of Reform Teaching in Undergraduate Level Mathematics and Science Courses

ERIC Educational Resources Information Center

Wainwright, Camille; Flick, Larry; Morrell, Patricia D.; Schepige, Adele

2004-01-01

This paper reports on initial results from an ongoing evaluation study of a National Science Foundation project to implement reform-oriented teaching practices in college science and mathematics courses. The purpose of this study was to determine what elements of reform teaching are being utilized by college faculty members teaching undergraduate…

The Impact of Advanced Curriculum on the Achievement of Mathematically Promising Elementary Students

ERIC Educational Resources Information Center

Gavin, M. Katherine; Casa, Tutita M.; Adelson, Jill L.; Carroll, Susan R.; Sheffield, Linda Jensen

2009-01-01

The primary aim of Project M[superscript 3]: Mentoring Mathematical Minds was to develop and field test advanced units for mathematically promising elementary students based on exemplary practices in gifted and mathematics education. This article describes the development of the units and reports on mathematics achievement results for students in…

Implementation and Outcomes of Inquiry-Based Learning in Mathematics Content Courses for Pre-Service Teachers

ERIC Educational Resources Information Center

Laursen, Sandra L.; Hassi, Marja-Liisa; Hough, Sarah

2016-01-01

This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities,…

University of Chicago School Mathematics Project 6-12 Curriculum. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2011

2011-01-01

The "University of Chicago School Mathematics Project ("UCSMP") 6-12 Curriculum" is a series of yearlong courses--(1) Transition Mathematics; (2) Algebra; (3) Geometry; (4) Advanced Algebra; (5) Functions, Statistics, and Trigonometry; and (6) Precalculus and Discrete Mathematics--emphasizing problem solving, real-world applications, and the use…

Motivating Attendance in a First-Year Mathematics Course Using "House Cash"

ERIC Educational Resources Information Center

Ellermeyer, S. F.; Leeds, E. M.; Banker, T. G.

2011-01-01

Poor class attendance is detrimental to student success. This is especially true in entry-level college mathematics courses, where habitual non-attendance can have lasting effects that greatly limit a student's options for continued academic success. The purpose of this study was to design an attendance incentive and to evaluate its impact on…

Undergraduate Students' Perceptions of Collaborative Learning in a Differential Equations Mathematics Course

ERIC Educational Resources Information Center

Hajra, Sayonita Ghosh; Das, Ujjaini

2015-01-01

This paper uses collaborative learning strategies to examine students' perceptions in a differential equations mathematics course. Students' perceptions were analyzed using three collaborative learning strategies including collaborative activity, group-quiz and online discussion. The study results show that students identified both strengths and…

Individual Oral Exams in Mathematics Courses: 10 Years of Experience at the Air Force Academy

ERIC Educational Resources Information Center

Boedigheimer, Ralph; Ghrist, Michelle; Peterson, Dale; Kallemyn, Benjamin

2015-01-01

Over the last 10 years faculty members in the Department of Mathematical Sciences at the United States Air Force Academy have incorporated individual oral exams into mathematics courses. We have experimented with various approaches, shared results and ideas with other department members, and refined our techniques. We have found that this…

Preservice Teachers' Reconciliation of an Epistemological Issue in an Integrated Mathematics/Science Methods Course

ERIC Educational Resources Information Center

Cormas, Peter C.

2017-01-01

Preservice teachers in six sections (n = 87) of a sequenced, methodological and process-integrated elementary mathematics/science methods course were able to reconcile an issue centered on a similar area of epistemology. Preservice teachers participated in a science inquiry lesson on biological classification and a mathematics problem-solving…

Finite Mathematics and Discrete Mathematics: Is There a Difference?

ERIC Educational Resources Information Center

Johnson, Marvin L.

Discrete mathematics and finite mathematics differ in a number of ways. First, finite mathematics has a longer history and is therefore more stable in terms of course content. Finite mathematics courses emphasize certain particular mathematical tools which are useful in solving the problems of business and the social sciences. Discrete mathematics…

When Traditional Won't Do: Experiences from a "Lower-Level" Mathematics Classroom

ERIC Educational Resources Information Center

Hill, Crystal

2010-01-01

As the last bell rings, students scurry to their respective classrooms, doors begin to close, and the class period begins. Imagine that you are in the hallway of the school and you look into an advanced mathematics class, into an Algebra I, Part I, mathematics class (a course designed for students who have not found success in mathematics). What…

A Framework for Mathematical Thinking: The Case of Linear Algebra

ERIC Educational Resources Information Center

Stewart, Sepideh; Thomas, Michael O. J.

2009-01-01

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

Toward Technology Integration in Mathematics Education: A Technology-Integration Course Planning Assignment

ERIC Educational Resources Information Center

Kersaint, Gladis

2007-01-01

This article describes a technology integration course planning assignment that was developed to enhance preservice teachers' technological pedagogical content knowledge (TPCK). This assignment required preservice teachers work with peers to integrate various technological tools (e.g., graphing calculators, web-based mathematics applets, etc) in a…

Impact of Interdisciplinary Undergraduate Research in mathematics and biology on the development of a new course integrating five STEM disciplines.

PubMed

Caudill, Lester; Hill, April; Hoke, Kathy; Lipan, Ovidiu

2010-01-01

Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was not only good science but also good science that motivated and informed course development. Here, we describe four recent undergraduate research projects involving students and faculty in biology, physics, mathematics, and computer science and how each contributed in significant ways to the conception and implementation of our new Integrated Quantitative Science course, a course for first-year students that integrates the material in the first course of the major in each of biology, chemistry, mathematics, computer science, and physics.

Integration of Technology in Elementary Pre-Service Teacher Education: An Examination of Mathematics Methods Courses

ERIC Educational Resources Information Center

Mitchell, Rebecca; Laski, Elida

2013-01-01

Instructors (N = 204) of elementary mathematics methods courses completed a survey assessing the extent to which they stay informed about research related to effective uses of educational technology and the kinds and numbers of educational technologies they include in their courses. Findings indicate that, while they view educational technology…

How Flipping Much? Consecutive Flipped Mathematics Courses and Their Influence on Students' Anxieties and Perceptions of Learning

ERIC Educational Resources Information Center

Dove, Anthony; Dove, Emily

2017-01-01

While studies have shown positive attributes related to flipped learning, especially in mathematics and statistics, there is limited understanding of how taking multiple flipped courses may impact students' learning of mathematics and their perceptions of mathematics. Specifically, this study examined how completing consecutive flipped mathematics…

Internationalizing the Mathematical Finance Course

ERIC Educational Resources Information Center

Okonkwo, Zephyrinus C.

2017-01-01

About the year 2000, the Department of Mathematics and Computer Science, Albany State University (ASU), Albany, Georgia, USA envisioned the need to have a comprehensive curriculum revision based on recommendations of the Conference Boards of The Mathematical Sciences, the American Mathematical Society, the Mathematical Association of American, and…

The Relationship of Mathematics Anxiety and Mathematical Knowledge to the Learning of Mathematical Pedagogy by Preservice Elementary Teachers.

ERIC Educational Resources Information Center

Battista, Michael T.

1986-01-01

Examined how preservice elementary teachers' (N=38) mathematical knowledge and mathematics anxiety affect their success in a mathematics methods course. Also examined the hypothesis that a mathematics methods course can reduce the mathematics anxiety of these teachers. One finding is that mathematics anxiety does not inhibit their learning of…

Onsite Peer Tutoring in Mathematics Content Courses for Pre-Service Teachers

ERIC Educational Resources Information Center

Young, Elaine

2011-01-01

Pre-service elementary teachers often need help in mathematics courses. Tutoring is an effective practice (Boylan, 2002) and peer tutoring is one of the most successful forms of tutoring, due to the personal connections that are made (Tinto, 1993). A peer is defined as one at the same level, at the same institution, and having equal status…

Mathematics Readiness of First-Year University Students

ERIC Educational Resources Information Center

Atuahene, Francis; Russell, Tammy A.

2016-01-01

The majority of high school students, particularly underrepresented minorities (URMs) from low socioeconomic backgrounds are graduating from high school less prepared academically for advanced-level college mathematics. Using 2009 and 2010 course enrollment data, several statistical analyses (multiple linear regression, Cochran Mantel Haenszel…

Argumentative Knowledge Construction in an Online Graduate Mathematics Course: A Case Study

ERIC Educational Resources Information Center

Bayazit, Nermin; Clarke, Pier Angeli Junor; Vidakovic, Draga

2018-01-01

The authors report on three students' argumentative knowledge construction in an asynchronous online graduate level geometry course designed for in-service secondary mathematics (ISM) teachers. Using Weinberger and Fischer's framework, they analyzed the ISM teachers' (a) geometry autobiography and (b) discussion board posts (both comments and…

A Case Study of Two Groups of Elementary Prospective Teachers' Experiences in Distinct Mathematics Content Courses

ERIC Educational Resources Information Center

Auslander, Susan Swars; Smith, Stephanie Z.; Smith, Marvin E.; Hart, Lynn C.; Carothers, Jody

2016-01-01

This multiple case study examined two groups of elementary prospective teachers (n=12) completing distinct mathematics content courses. Data were collected via two belief surveys, one content knowledge assessment, and individual interviews. The findings revealed differences in specialized content knowledge and mathematical beliefs between the two…

Should Students Assessed as Needing Remedial Mathematics Take College-Level Quantitative Courses Instead? A Randomized Controlled Trial

ERIC Educational Resources Information Center

Logue, A. W.; Watanabe-Rose, Mari; Douglas, Daniel

2016-01-01

Many college students never take, or do not pass, required remedial mathematics courses theorized to increase college-level performance. Some colleges and states are therefore instituting policies allowing students to take college-level courses without first taking remedial courses. However, no experiments have compared the effectiveness of these…

Throw Away Your Mathematical Handbook! Undergraduate Physics with Wolfram|Alpha, a FREE(!) Internet-Based Mathematical Engine

NASA Astrophysics Data System (ADS)

Looney, Craig W.

2009-10-01

Wolfram|Alpha (http://www.wolframalpha.com/), a free internet-based mathematical engine released earlier this year, represents an orders-of magnitude advance in mathematical power freely available - without money, passwords, or downloads - on the web. Wolfram|Alpha is based on Mathematica, so it can plot functions, take derivatives, solve systems of equations, perform symbolic and numerical integration, and more. These capabilities (especially plotting and integration) will be explored in the context of topics covered in upper level undergraduate physics courses.

Accelerating Mathematics Achievement Using Heterogeneous Grouping

ERIC Educational Resources Information Center

Burris, Carol Corbett; Heubert, Jay P.; Levin, Henry M.

2006-01-01

This longitudinal study examined the effects of providing an accelerated mathematics curriculum in heterogeneously grouped middle school classes in a diverse suburban school district. A quasi-experimental cohort design was used to evaluate subsequent completion of advanced high school math courses as well as academic achievement. Results showed…

Collegiate Mathematics Teaching: An Unexamined Practice

ERIC Educational Resources Information Center

Speer, Natasha M.; Smith, John P., III; Horvath, Aladar

2010-01-01

Though written accounts of collegiate mathematics teaching exist (e.g., mathematicians' reflections and analyses of learning and teaching in innovative courses), research on collegiate teachers' actual classroom teaching practice is virtually non-existent. We advance this claim based on a thorough review of peer-reviewed journals where scholarship…

Impact of Interdisciplinary Undergraduate Research in Mathematics and Biology on the Development of a New Course Integrating Five STEM Disciplines

PubMed Central

Caudill, Lester; Hill, April; Lipan, Ovidiu

2010-01-01

Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was not only good science but also good science that motivated and informed course development. Here, we describe four recent undergraduate research projects involving students and faculty in biology, physics, mathematics, and computer science and how each contributed in significant ways to the conception and implementation of our new Integrated Quantitative Science course, a course for first-year students that integrates the material in the first course of the major in each of biology, chemistry, mathematics, computer science, and physics. PMID:20810953

Course and Curriculum Improvement Materials: Mathematics, Science, Social Sciences - Elementary, Intermediate, Secondary.

ERIC Educational Resources Information Center

National Science Foundation, Washington, DC.

This is a list of curriculum improvement materials produced by major course and curriculum projects supported by the National Science Foundation's Division of Pre-College Education in Science. The materials are grouped by educational level (elementary, intermediate, and secondary) and within each level by broad discipline groupings (mathematics,…

Measuring Computer Science Knowledge Level of Hungarian Students Specialized in Informatics with Romanian Students Attending a Science Course or a Mathematics-Informatics Course

ERIC Educational Resources Information Center

Kiss, Gabor

2012-01-01

An analysis of Information Technology knowledge of Hungarian and Romanian students was made with the help of a self developed web based Informatics Test. The goal of this research is an analysis of the Computer Science knowledge level of Hungarian and Romanian students attending a Science course or a Mathematics-Informatics course. Analysed was…

Pre-Service Teachers' TPACK Competencies for Spreadsheet Integration: Insights from a Mathematics-Specific Instructional Technology Course

ERIC Educational Resources Information Center

Agyei, Douglas D.; Voogt, Joke M.

2015-01-01

This article explored the impact of strategies applied in a mathematics instructional technology course for developing technology integration competencies, in particular in the use of spreadsheets, in pre-service teachers. In this respect, 104 pre-service mathematics teachers from a teacher training programme in Ghana enrolled in the mathematics…

Advanced Math Course Taking: Effects on Math Achievement and College Enrollment

PubMed Central

Byun, Soo-yong; Irvin, Matthew J.; Bell, Bethany A.

2014-01-01

Using data from the Educational Longitudinal Study of 2002–2006 (ELS:02/06), this study investigated the effects of advanced math course taking on math achievement and college enrollment and how such effects varied by socioeconomic status (SES) and race/ethnicity. Results from propensity score matching and sensitivity analyses showed that advanced math course taking had positive effects on math achievement and college enrollment. Results also demonstrated that the effect of advanced math course taking on math achievement was greater for low SES students than for high SES students, but smaller for Black students than for White students. No interaction effects were found for college enrollment. Limitations, policy implications, and future research directions are discussed. PMID:26508803

Development of a Leadership, Policy, and Change Course for Science, Technology, Engineering, and Mathematics Graduate Students

ERIC Educational Resources Information Center

Cox, Monica F.; Berry, Carlotta A.; Smith, Karl A.

2009-01-01

This paper describes a graduate level engineering education course, "Leadership, Policy, and Change in Science, Technology, Engineering, and Mathematics (STEM) Education." Offered for the first time in 2007, the course integrated the perspectives of three instructors representing disciplines of engineering, education, and engineering education.…

Developing CORE model-based worksheet with recitation task to facilitate students’ mathematical communication skills in linear algebra course

NASA Astrophysics Data System (ADS)

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

2018-01-01

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

Undergraduate Mathematics Majors' Writing Performance Producing Proofs and Counterexamples about Continuous Functions

ERIC Educational Resources Information Center

Ko, Yi-Yin; Knuth, Eric

2009-01-01

In advanced mathematical thinking, proving and refuting are crucial abilities to demonstrate whether and why a proposition is true or false. Learning proofs and counterexamples within the domain of continuous functions is important because students encounter continuous functions in many mathematics courses. Recently, a growing number of studies…

A Survey Transition Course

ERIC Educational Resources Information Center

Johnston, William; McAllister, Alex M.

2012-01-01

Successful outcomes for a "Transition Course in Mathematics" have resulted from two unique design features. The first is to run the course as a "survey course" in mathematics, introducing sophomore-level students to a broad set of mathematical fields. In this single mathematics course, undergraduates benefit from an introduction of proof…

Prospective Teachers' Perspectives on Mathematics Teaching and Learning: Lens for Interpreting Experiences in a Standards-Based Mathematics Course

ERIC Educational Resources Information Center

Chamberlin, Michelle T.

2013-01-01

In a mathematics course for prospective elementary teachers, we strove to model standards-based pedagogy. However, an end-of-class reflection revealed the prospective teachers were considering incorporating standards-based strategies in their future classrooms in ways different from our intent. Thus, we drew upon the framework presented by Simon,…

The Role of Advanced High School Coursework in Increasing STEM Career Interest

ERIC Educational Resources Information Center

Sadler, Philip M.; Sonnert, Gerhard; Hazari, Zahra; Tai, Robert

2014-01-01

Several avenues are open to students who wish to study advanced science or mathematics in high school, which include Advanced Placement courses and teacher-designed courses unaffiliated with organized programs. We employ a retrospective cohort study of 4,691 nationally representative college students at 34 randomly selected, colleges and…

Impact of advanced laparoscopy courses on present surgical practice.

PubMed

Houck, Jared; Kopietz, Courtni M; Shah, Bhavin C; Goede, Matthew R; McBride, Corrigan L; Oleynikov, Dmitry

2013-01-01

The introduction of new surgical techniques has made training in laparoscopic procedures a necessity for the practicing surgeon, but acquisition of new surgical skills is a formidable task. This study was conducted to assess the impact of advanced laparoscopic workshops on caseload patterns of practicing surgeons. After we obtained institutional review board approval, a survey of practicing surgeons who participated in advanced laparoscopic courses was distributed; the results were analyzed for statistical significance. The courses were held at the University of Nebraska Medical Center between January 2002 and December 2010. Questionnaires were mailed, faxed, and e-mailed to surgeons. Of the 109 surgeons who participated in the advanced laparoscopy courses, 79 received surveys and 30 were excluded from the survey because of their affiliation with the University of Nebraska Medical Center. A total of 47 responses (59%) were received from 41 male and 6 female surgeons. The median response time from completion of the course to completion of the survey was 13.2 months (range, 6.8-19.1 months). The mean age of participating surgeons was 39.2 years (range, 29-51 years). The mean time since residency was 8.4 years (range, 0.8-21 years). Eleven surgeons had completed a minimal number of laparoscopic cases in residency (<50), 17 surgeons had completed a moderate number of laparoscopic procedures in residency (50-200), and 21 surgeons had completed a significant number of cases during residency (>200). Of the surgeons who responded, 94% were in private practice. Fifty-seven percent of the participating surgeons who responded reported a change in laparoscopic practice patterns after the courses. Of these surgeons, 24% had a limited residency laparoscopy exposure of <50 cases. Surgeons who were exposed to ≥50 laparoscopic cases during their residency showed a statistically significant increase in the number of laparoscopic procedures performed after their class compared with

Expectations and Implementations of the Flipped Classroom Model in Undergraduate Mathematics Courses

ERIC Educational Resources Information Center

Naccarato, Emilie; Karakok, Gulden

2015-01-01

The flipped classroom model is being used more frequently in undergraduate mathematics courses. As with any new teaching model, in-depth investigations of both various implementation styles and how the new model improves student learning are needed. Currently, many practitioners have been sharing their implementations of this model. However, there…

Implementing a Flipped Classroom Approach in a University Numerical Methods Mathematics Course

ERIC Educational Resources Information Center

Johnston, Barbara M.

2017-01-01

This paper describes and analyses the implementation of a "flipped classroom" approach, in an undergraduate mathematics course on numerical methods. The approach replaced all the lecture contents by instructor-made videos and was implemented in the consecutive years 2014 and 2015. The sequential case study presented here begins with an…

Implications of Eighth Grade Algebra I on High School Mathematics Achievement

ERIC Educational Resources Information Center

Bayard, Robert

2012-01-01

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

Persistence and withdrawal by students in a preservice science and mathematics teacher education course

NASA Astrophysics Data System (ADS)

Tulip, David F.; Lucas, Keith B.

1991-12-01

At a time when recruitment into preservice teacher education courses in mathematics and science is difficult, one strategy to increase the number of graduates is to minimise the number of students who fail to complete their university courses. This study sought to determine factors which distinguish withdrawers from persisters in the first semester of a B.Ed course. Discriminant analysis was employed; a discriminant function employing seven factors resulted in correct classification in 81% of cases. Further analysis distinguishing between dropouts and transferees resulted in two discriminant functions with some common variables.

Basic and Advanced Numerical Performances Relate to Mathematical Expertise but Are Fully Mediated by Visuospatial Skills

PubMed Central

2016-01-01

Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. PMID:26913930

Advanced Course Enrollment and Performance among English Learner Students in Washington State. REL 2017-187

ERIC Educational Resources Information Center

Hanson, Havala; Bisht, Biraj; Motamedi, Jason Greenberg

2016-01-01

Taking advanced high school courses (for example, honors, Advanced Placement, and dual-credit courses that offer college credits in high school) can help prepare students for postsecondary education and careers. English learner students, however, face unique obstacles to taking advanced courses because they must divide their time between acquiring…

Teaching the Blue-Eyed Islanders Puzzle in a Liberal Arts Mathematics Course

ERIC Educational Resources Information Center

Shea, Stephen

2012-01-01

The blue-eyed islanders puzzle is an old and challenging logic puzzle. This is a narrative of an experience introducing a variation of this puzzle on the first day of classes in a liberal arts mathematics course for non-majors. I describe an exercise that was used to facilitate the class's understanding of the puzzle.

Gender Differences in the Effects of a Utility-Value Intervention to Help Parents Motivate Adolescents in Mathematics and Science

ERIC Educational Resources Information Center

Rozek, Christopher S.; Hyde, Janet S.; Svoboda, Ryan C.; Hulleman, Chris S.; Harackiewicz, Judith M.

2015-01-01

A foundation in science, technology, engineering, and mathematics (STEM) education is critical for students' college and career advancement, but many U.S. students fail to take advanced mathematics and science classes in high school. Research has neglected the potential role of parents in enhancing students' motivation for pursuing STEM courses.…

The Use of Software in Academic Stream High School Mathematics Teaching

ERIC Educational Resources Information Center

Clay, Simon; Fotou, Nikolaos; Monaghan, John

2017-01-01

This paper reports on classroom observations of senior high school mathematics lessons with a focus on the use of digital technology. The observations were of teachers enrolled in an in-service course, Teaching Advanced Mathematics. The paper reports selected results and comments on: software that was observed to have been used; the use (or not)…

Priority Desires of Pre-Service Mathematics Student-Teachers in Methods Courses at the University of Botswana

ERIC Educational Resources Information Center

Kesianye, Sesutho; Garegae, Kgomotso; Chakalisa, Paul; Mogotsi, Salome

2014-01-01

This study, a survey of University of Botswana mathematics pre-service student-teachers taking introductory methods courses, was conducted to find aspects of the courses they perceived to be their priority learning desires. It aimed at evaluating whether student-teachers perceived ideas could be tapped into towards improvement of the teacher…

The Effect of a Pre-University Mathematics Bridging Course on Adult Learners' Self-Efficacy and Retention Rates in STEM Subjects

ERIC Educational Resources Information Center

Johnson, Patrick; O'Keeffe, Lisa

2016-01-01

In August 2008, the Mathematics Learning Centre at the University of Limerick initiated a mathematics bridging course, entitled "Head Start Maths", to provide mathematics revision for adult learners about to embark on science or technology degree programmes. The aim of Head Start Maths was to revise mathematics fundamentals before the…

Origins of the brain networks for advanced mathematics in expert mathematicians

PubMed Central

Amalric, Marie; Dehaene, Stanislas

2016-01-01

The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit. PMID:27071124

Origins of the brain networks for advanced mathematics in expert mathematicians.

PubMed

Amalric, Marie; Dehaene, Stanislas

2016-05-03

The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.

Latina girls of Puerto Rican origin who are successful in science and mathematics high school courses

NASA Astrophysics Data System (ADS)

Oquendo-Rodriguez, Aida L.

Professions and careers related to science and mathematics lack representation of minorities. Within these underrepresented minority populations there is no other group more affected than Latina women and girls. Women in general, are still underrepresented in many areas of our society. While women's roles are changing in today's society, most changes encourage the participation of more White/Anglo women in traditionally male roles. Latina women are still more disadvantaged than White women. There is no doubt that education is significant in increasing the participation of minorities in the fields of science and mathematics, especially for minority girls (Oakes, 1990; Rodriguez, 1993). This study explored the interests, life experiences, characteristics and motivations of Latina girls of Puerto Rican origin who are successful in science and mathematics high school courses. The study identifies factors that can influence the interest of Latina girls of Puerto Rican origin in science and mathematics career choices. This research is significant and relevant to educators and policy makers, especially to science and mathematics educators. The research is primarily descriptive and exploratory. It explores the social characteristics of Latina girls and professional women who have been successful in science and mathematics high school courses. The research offers the reader a visit to the participants' homes with descriptions and the opportunity to explore the thoughts and life experiences of Latina girls, their mothers and young Latina professionals of Puerto Rican origin. This research reveals the common characteristics of successful students found in the Latina girls of Puerto Rican origin who where interviewed. Creating a portrait of Latina girls of Puerto Rican origin who are successful in science and mathematics high school courses in one of the school districts of western Massachusetts. The research findings reveal that teacher relationships, family expectations

How Syntactic Reasoners Can Develop Understanding, Evaluate Conjectures, and Generate Counterexamples in Advanced Mathematics

ERIC Educational Resources Information Center

Weber, Keith

2009-01-01

This paper presents a case study of a highly successful student whose exploration of an advanced mathematical concept relies predominantly on syntactic reasoning, such as developing formal representations of mathematical ideas and making logical deductions. This student is observed as he learns a new mathematical concept and then completes…

The Development and Evolution of an Introductory Statistics Course for In-Service Middle-Level Mathematics Teachers

ERIC Educational Resources Information Center

Schmind, Kendra K.; Blankenship, Erin E.; Kerby. April T.; Green, Jennifer L.; Smith, Wendy M.

2014-01-01

The statistical preparation of in-service teachers, particularly middle school teachers, has been an area of concern for several years. This paper discusses the creation and delivery of an introductory statistics course as part of a master's degree program for in-service mathematics teachers. The initial course development took place before the…

Conceptual writing in college-level mathematics courses and its impact on performance and attitude

NASA Astrophysics Data System (ADS)

Van Dyke, Frances; Malloy, Elizabeth J.; (Lyn) Stallings, Virginia

2015-02-01

This study looks at the impact of college students' writing on a regular basis about mathematical concepts. Specifically we examine the effect of this practice on performance and attitude while controlling for confounding factors. Two professors and a total of 97 students in four different classes participated in the study. Students in the writing groups were required to write a total of eight papers, each concentrating on an important concept in the course. All students were given a visual skills assessment at the beginning and end of the course. Students in the writing group were assessed to determine their attitude toward the writing assignments. Positive trends were associated with the writing group over the non-writing group in overall score and in all but one of six individual components. However, within the writing group, students' attitude toward writing in mathematics class was negative.

Some observations on the interdigitation of advances in medical science and mathematics.

PubMed

Glamore, Michael James; West, James L; O'leary, James Patrick

2013-12-01

The immense advancement of our understanding of disease processes has not been a uniform progression related to the passage of time. Advances have been made in "lurches" and "catches" since the advent of the written word. There has been a remarkable interdependency between such advances in medicine and advances in mathematics that has proved beneficial to both. This work explores some of these critical relationships and documents how the individuals involved contributed to advances in each.

Basic and advanced numerical performances relate to mathematical expertise but are fully mediated by visuospatial skills.

PubMed

Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi

2016-09-01

Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

Listening to Early Career Teachers: How Can Elementary Mathematics Methods Courses Better Prepare Them to Utilize Standards-Based Practices in Their Classrooms?

ERIC Educational Resources Information Center

Coester, Lee Anne

2010-01-01

This study was designed to gather input from early career elementary teachers with the goal of finding ways to improve elementary mathematics methods courses. Multiple areas were explored including the degree to which respondents' elementary mathematics methods course focused on the NCTM Process Standards, the teachers' current standards-based…

Advancement of understanding in physical science and reduction of mathematical anxiety through the use of supplemental mathematics material

NASA Astrophysics Data System (ADS)

Roberson, James Chadwick

The purpose of this study was to determine if supplementary mathematics materials (created to be complementary to a physical science course) could provide a significant change in the attitudes and performance of the students involved. The supplementary text was provided in the form of a booklet. Participants were students in a physical science class. Students were given surveys to evaluate existing knowledge of physical science, mathematics skill, and mathematics anxiety in the context of a science class. Students were divided into control and experimental groups by lab section, with the experimental group receiving a supplemental booklet. At the end of the semester, another anxiety survey was given. The anxiety surveys and test grades were compared between groups. Anxiety scores were compared between the beginning and end of the semester within each group. Too few students reported using the booklets for a reliable statistical comparison (of grades) to be made. A statistically significant difference in mathematics anxiety levels was found between the groups.

Civic Mathematics: A Real-Life General Mathematics Course.

ERIC Educational Resources Information Center

Vatter, Terry

1994-01-01

Presents a civic mathematics curriculum that encompasses issues of race and gender, poverty and wealth, the environment, and concerns of teenagers. Includes lists of mathematics skills and aspects of the issues and a sample lesson on water resources. Quarterly projects are suggested as an alternative to exams. (MKR)

The Association between Secondary Mathematics and First Year University Performance in Health Sciences

ERIC Educational Resources Information Center

Joyce, Christopher; Hine, Gregory; Anderton, Ryan

2017-01-01

In recent years, there has been a significant decline in the rate of participation in secondary school mathematics courses within Australia, particularly in advanced or higher level mathematics. The aim of this study was to investigate how grade point average (GPA) differed between five health science degrees at an Australian university. The…

Development of an advanced undergraduate course in acoustics

NASA Astrophysics Data System (ADS)

Gee, Kent L.; Neilsen, Tracianne B.; Sommerfeldt, Scott D.

2016-03-01

Within many physics undergraduate programs, acoustics is given only a cursory treatment, usually within an introductory course. Because acoustics is a natural vehicle for students to develop intuition about wave phenomena, an advanced undergraduate acoustics course has been developed at Brigham Young University. Although it remains an elective course, enrollment has increased steadily since its inception. The course has been taken by students in physics, applied physics, physics teaching, and mechanical and electrical engineering. In addition to providing training for students motivated by interest in undergraduate research, internship, employment, and graduate schooling opportunities in acoustics, the course facilitates connections between various areas of physics. Explicit connections are made to mechanics, electricity and magnetism, thermodynamics, optics, quantum mechanics, and experimental and computational laboratory courses. Active learning is emphasized through Just-in-Time-Teaching and course structure. Homework exercises are both theoretical and practical and often require making and interpreting of graphs. For example, students may model traffic noise as a series of uncorrelated monopoles or examine highway barrier effectiveness using Fresnel diffraction techniques. Additionally, students participate in resumé-building measurements and learn to report their results in the form of technical memoranda. Course evaluations and post-graduation student surveys rate it among the most valuable undergraduate student courses offered.

Explorations with 142857: Connecting the Elementary with the Advanced

ERIC Educational Resources Information Center

Flores, Alfinio

2008-01-01

University mathematics education courses do not always provide the opportunity to make connections between advanced topics and the mathematics taught in middle school or high school. Activities like the ones described in this article invite such connections. Analyzing concrete or particular examples provides a better grasp of abstract concepts.…

Teaching undergraduate mathematics in interactive groups: how does it fit with students' learning?

NASA Astrophysics Data System (ADS)

Sheryn, Louise; Ell, Fiona

2014-08-01

Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in combinatorics, taught using a non-traditional, formal group work approach, the 10 students shared their views about how such an approach fitted in with their experience of learning mathematics. A descriptive thematic analysis of the students' responses revealed that despite being very comfortable with the traditional approach to learning new mathematics, most students were open to a formal group work approach and could see benefits from it after their participation. The students' prior conceptions of the goal of undergraduate mathematics learning and their view of themselves as 'mathematicians' framed their experience of learning mathematics in a non-traditional class.

Gender Differences in the Use and Benefit of Advanced Learning Technologies for Mathematics

ERIC Educational Resources Information Center

Arroyo, Ivon; Burleson, Winslow; Tai, Minghui; Muldner, Kasia; Woolf, Beverly Park

2013-01-01

We provide evidence of persistent gender effects for students using advanced adaptive technology while learning mathematics. This technology improves each gender's learning and affective predispositions toward mathematics, but specific features in the software help either female or male students. Gender differences were seen in the students' style…

Helping parents to motivate adolescents in mathematics and science: an experimental test of a utility-value intervention.

PubMed

Harackiewicz, Judith M; Rozek, Christopher S; Hulleman, Chris S; Hyde, Janet S

2012-08-01

The pipeline toward careers in science, technology, engineering, and mathematics (STEM) begins to leak in high school, when some students choose not to take advanced mathematics and science courses. We conducted a field experiment testing whether a theory-based intervention that was designed to help parents convey the importance of mathematics and science courses to their high school-aged children would lead them to take more mathematics and science courses in high school. The three-part intervention consisted of two brochures mailed to parents and a Web site, all highlighting the usefulness of STEM courses. This relatively simple intervention led students whose parents were in the experimental group to take, on average, nearly one semester more of science and mathematics in the last 2 years of high school, compared with the control group. Parents are an untapped resource for increasing STEM motivation in adolescents, and the results demonstrate that motivational theory can be applied to this important pipeline problem.

Advanced Mathematical Study and the Development of Conditional Reasoning Skills

PubMed Central

Attridge, Nina; Inglis, Matthew

2013-01-01

Since the time of Plato, philosophers and educational policy-makers have assumed that the study of mathematics improves one's general ‘thinking skills’. Today, this argument, known as the ‘Theory of Formal Discipline’ is used in policy debates to prioritize mathematics in school curricula. But there is no strong research evidence which justifies it. We tested the Theory of Formal Discipline by tracking the development of conditional reasoning behavior in students studying post-compulsory mathematics compared to post-compulsory English literature. In line with the Theory of Formal Discipline, the mathematics students did develop their conditional reasoning to a greater extent than the literature students, despite them having received no explicit tuition in conditional logic. However, this development appeared to be towards the so-called defective conditional understanding, rather than the logically normative material conditional understanding. We conclude by arguing that Plato may have been correct to claim that studying advanced mathematics is associated with the development of logical reasoning skills, but that the nature of this development may be more complex than previously thought. PMID:23869241

An Evaluation of Blended Instruction in Terms of Knowledge Acquisition and Attitude in an Introductory Mathematics Course

ERIC Educational Resources Information Center

Czaplewski, John Robert

2014-01-01

A medium-sized accredited public university located in southeastern Minnesota has been offering an introductory undergraduate mathematics course with a consistent curriculum in two instructional formats: face-to-face and blended. Previously the course was offered only through a face-to-face instructional format while currently, it is only offered…

Advanced Training Course for School Bus Drivers. A Manual for Instructors.

ERIC Educational Resources Information Center

New York State Education Dept., Albany.

This manual provides the basis for a 10-hour advanced course of instruction to be offered for those school bus drivers who have successfully completed a basic course. The course is composed of five units. The pupil control unit attempts to develop in the school bus driver an understanding of the functions of discipline and his relationship to the…

Advanced Management Communication: An Elective Course in Corporate Communication.

ERIC Educational Resources Information Center

Argenti, Paul A.

1986-01-01

Proposes a college-level elective course in advanced management communication that would teach future managers how to communicate with shareholders, the media, financial analysts, and the labor force. (SRT)

Advanced Selling: A Comprehensive Course Sales Project

ERIC Educational Resources Information Center

Yarrington-Young, Susan; Castleberry, Stephen B.; Coleman, Joshua T.

2016-01-01

A comprehensive project for the Advanced Selling course that has been tested at three universities is introduced. After selecting an industry and a company, students engage in a complete industry analysis, a company sales analysis, a sales-specific SWOT analysis, complete a ride day with a salesperson in that firm, then present their findings in a…

SNAB: A New Advanced Level Biology Course

ERIC Educational Resources Information Center

Reiss, Michael J.

2005-01-01

Of all the sciences, biology has probably made the most rapid progress in recent years and the need for this to be reflected in a new Advanced Level biology course has long been recognised in the UK. After wide-ranging consultation and successful piloting in over 50 schools and colleges in England and Wales, the new Salters-Nuffield Advanced…

Advanced Internship: A High-Impact, Low-Cost, Super-Capstone Course

ERIC Educational Resources Information Center

Fernald, Peter S.; Goldstein, Gary S.

2013-01-01

In an earlier issue of this journal, the authors described a capstone course, Internship, that both "caps" the undergraduate experience and functions as a "bridge" to the world beyond college. Here, they describe a sequel to that course, Advanced Internship, which both extends and enhances the "capping" and "bridging" experiences. The bridging…

Innovations in Science and Mathematics Education: Advanced Designs for Technologies of Learning.

ERIC Educational Resources Information Center

Jacobson, Michael J., Ed.; Kozma, Robert B., Ed.

This collection of essays consists of current work that addresses the challenge not just to put the newest technologies in schools, but to identify advanced ways to design and use these new technologies to advance learning. These essays are intended for science and mathematics educators, educational and cognitive researchers, instructional…

A Digital Storytelling Study Project on Mathematics Course with Preschool Pre-Service Teachers

ERIC Educational Resources Information Center

Inan, Cemil

2015-01-01

Digital storytelling technique is based on a presentation of course content in a story form using multimedia tools. In this study, digital stories were designed for mathematics instruction with preschool pre-service teachers. At the end of the six-week study, preschool students viewed the digital stories created. The study aimed to determine the…

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

ERIC Educational Resources Information Center

Sworder, Steve

2006-01-01

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

Access to Mathematics: "A Possessive Investment in Whiteness"

ERIC Educational Resources Information Center

Battey, Dan

2013-01-01

While mathematics education gives access to elite universities, higher-paying jobs, and the accumulation of wealth, it continues to be framed as a neutral curricular domain. However, data continually show differential access provided to students of color and their White peers through tracking, the availability of Advance Placement courses, and…

AMATYC Members Offer Their Perceptions of Interactions that Occur in Developmental Mathematics Courses

ERIC Educational Resources Information Center

Sattler, Nancy J.

2005-01-01

This study investigated teacher perception of interactions used in on-line developmental mathematics courses at two-year colleges. A total of 98 AMATYC teachers were surveyed. The following conclusions were inferred from the study's findings: (a) The teacher responding to the survey was apt to be a female between the ages of 50 and 59, had taught…

Using Mathematics Literature with Prospective Secondary Mathematics Teachers

ERIC Educational Resources Information Center

Jett, Christopher C.

2014-01-01

Literature in mathematics has been found to foster positive improvements in mathematics learning. This manuscript reports on a mathematics teacher educator's use of literature via literature circles with 11 prospective secondary mathematics teachers in a mathematics content course. Using survey and reflection data, the author found that…

Self-Regulated Learning: The Role of Motivation, Emotion, and Use of Learning Strategies in Students' Learning Experiences in a Self-Paced Online Mathematics Course

ERIC Educational Resources Information Center

Cho, Moon-Heum; Heron, Michele L.

2015-01-01

Enrollment in online remedial mathematics courses has increased in popularity in institutions of higher learning; however, students unskilled in self-regulated learning (SRL) find online remedial mathematics courses particularly challenging. We investigated the role of SRL, specifically motivation, emotion, and learning strategies, in students'…

PREFACE: International Conference on Advancement in Science and Technology 2012 (iCAST): Contemporary Mathematics, Mathematical Physics and their Applications

NASA Astrophysics Data System (ADS)

Ganikhodjaev, Nasir; Mukhamedov, Farrukh; Hee, Pah Chin

2013-04-01

The 4th International Conference on the Advancement of Science and Technology 2012 (iCAST 2012), with theme 'Contemporary Mathematics, Mathematical Physics and their Applications', took place in Kuantan, Malaysia, from Wednesday 7 to Friday 9 November 2012. The conference was attended by more than 100 participants, and hosted about 160 oral and poster papers by more than 140 pre-registered authors. The key topics of the 4th iCAST 2012 include Pure Mathematics, Applied Mathematics, Theoretical/Mathematical Physics, Dynamical Systems, Statistics and Financial Mathematics. The scientific program was rather full since after the Keynote and Invited Talks in the morning, four parallel sessions ran every day. However, according to all attendees, the program was excellent with a high level of talks and the scientific environment was fruitful; thus all attendees had a creative time. The conference aimed to promote the knowledge and development of high-quality research in mathematical fields concerned with the application of other scientific fields as well as modern technological trends in physics, chemistry, biology, medicine, economics, sociology and environmental sciences. We would like to thank the Keynote and the Invited Speakers for their significant contributions to 4th iCAST 2012. We would also like to thank the members of the International Scientific Committee and the members of the Organizing Committee. We cannot end without expressing our many thanks to International Islamic University Malaysia and our sponsors for their financial support . This volume presents selected papers which have been peer-reviewed. The editors hope that it may be useful and fruitful for scholars, researchers, and advanced technical members of the industrial laboratory facilities for developing new tools and products. Guest Editors Nasir Ganikhodjaev, Farrukh Mukhamedov and Pah Chin Hee The PDF contains the committee lists, board list and biographies of the plenary speakers.

Higher Mathematics Education at a Distance: The Use of Computers at the Open University of the Netherlands.

ERIC Educational Resources Information Center

Hummel, Hans G. K.; Smit, Herjan

1996-01-01

Describes mathematics courses developed for guided self-study at a distance. The courses incorporate new educational media and special didactic techniques. Provides details about how a computer can be used in such a setting, and focuses on a computer practical examination used for an advanced course in Fourier transforms. (27 references) (DDR)

Leveraging Technology to Improve Developmental Mathematics Course Completion: Evaluation of a Large-Scale Intervention

ERIC Educational Resources Information Center

Wladis, Claire; Offenholley, Kathleen; George, Michael

2014-01-01

This study hypothesizes that course passing rates in remedial mathematics classes can be improved through early identification of at-risk students using a department-wide midterm, followed by a mandated set of online intervention assignments incorporating immediate and elaborate feedback for all students identified as "at-risk" by their…

The Effects of Migration to a Blended Self-Paced Format for a Remedial Pre-College Algebra Mathematics Course

ERIC Educational Resources Information Center

Deshler, Jessica; Fuller, Edgar

2016-01-01

Approximately 30% of students entering West Virginia University (WVU) are not ready for college mathematics. The WVU Department of Mathematics has been tasked with remediating these students and has worked over the last decade to find the most efficient way to teach the Pre-College Algebra Workshop; the prerequisite course students must complete…

The impact of a comprehensive course in advanced minimal access surgery on surgeon practice

PubMed Central

Birch MD, Daniel W.; MD, Cliff Sample; MD, Rohit Gupta

2007-01-01

Introduction Practising surgeons need an effective means for learning new skills and procedures in advanced minimal access surgery (MASA). Currently, available educational methods include traditional continuing medical education symposia (1-day courses), instructional videos, mentoring, or comprehensive courses that combine lectures, skills laboratories and live surgery. The impact of comprehensive courses in advanced MASA on surgeons' knowledge, skills and practice has not been clearly established. Methods We completed a survey of all physicians who attended comprehensive courses in advanced gastrointestinal MASA held at the Centre for Minimal Access Surgery (CMAS) in Hamilton, Ont. Results Of 158 course attendees, we received 65 responses (response rate 41%). Fifty-sex men and 9 women responded, with a mean age of 44.9 years and a mean practice duration of 12.3 years. Eighty-seven percent of respondents were community-based surgeons. As a result of attending CMAS courses, respondents felt they experienced a substantial improvement in the knowledge and skills required to complete MASA. After a comprehensive course at CMAS, most respondents reported that they had introduced MASA procedures into their practice. The mean overall impact of a course on a surgeon's practice (with respect to patient referrals, procedural armamentarium and personal satisfaction) was rated by respondents at 3.92 (standard deviation [SD] 0.71; Likert scale 1–5, 1=negative, 5=positive). Conclusions A comprehensive course in advanced MASA has a positive impact on attendees' knowledge and skills. Ultimately, surgeons attending MASA courses will begin to introduce new MASA procedures into surgical practice. These courses have a distinct role in the teaching of MASA to surgeons in practice. PMID:17391609

Examining Mathematics Mentor Teachers' Practices in Professional Development Courses on Teaching Data Analysis: Implications for Mentor Teachers' Programs

ERIC Educational Resources Information Center

Kuzle, Ana; Biehler, Rolf

2015-01-01

In this paper, we report on the training practices of 12 mathematics mentor teachers who developed and implemented five short professional development courses after participating in a 5-month continuous professional development course "Competence-oriented teaching and learning of data analysis." The intention of this course was to deepen…

Advanced Algebra and Calculus. High School Mathematics Curricula. Instructor's Guide.

ERIC Educational Resources Information Center

Natour, Denise M.

This manual is an instructor's guide for the utilization of the "CCA High School Mathematics Curricula: Advanced Algebra and Calculus" courseware developed by the Computer-based Education Research Laboratory (CERL). The curriculum comprises 34 algebra lessons within 12 units and 15 calculus lessons that are computer-based and require…

South Carolina Guide for Mathematics for the Technologies (Applied Vocational Mathematics).

ERIC Educational Resources Information Center

Moore, Charles; And Others

In this instructional guide, a third-level, two-semester mathematics course specifically for the student who plans a career in a vocational field is presented. The course is designed to meet the needs of students with varying mathematical backgrounds and to teach the mathematical skills required by various technical areas. In this practical…

Logical-Mathematical Constructions in an Initial Course at the University: A View of Their Syntactic, Semantic and Pragmatic Aspects

ERIC Educational Resources Information Center

Falsetti, Marcela; Alvarez, Marisa

2015-01-01

We present an analysis of students' formal constructions in mathematics regarding to syntactic, semantic and pragmatic aspects. The analyzed tasks correspond to students of the Course of Mathematics for the admission to the university. Our study was qualitative, consisted in the identification, analysis and interpretation, focused in logic…

Designing Design into an Advanced Desktop Publishing Course (A Teaching Tip).

ERIC Educational Resources Information Center

Guthrie, Jim

1995-01-01

Describes an advanced desktop publishing course that combines instruction in a few advanced techniques for using software with extensive discussion of such design principles as consistency, proportion, asymmetry, appropriateness, contrast, and color. Describes computer hardware and software, class assignments, problems, and the rationale for such…

Comparisons of Success and Retention in a General Chemistry Course before and after the Adoption of a Mathematics Prerequisite

ERIC Educational Resources Information Center

Donovan, William J.; Wheland, Ethel R.

2009-01-01

This study of the relationships between mathematical ability and success and retention in a general chemistry course was conducted at an open-enrollment university whose mission is to provide a quality education to a culturally and economically diverse student body. We studied the correlation between the demonstrated level of mathematical ability…

Use of Tablet PCs to Enhance Instruction and Promote Group Collaboration in a Course to Prepare Future Mathematics Specialists

ERIC Educational Resources Information Center

Ellington, Aimee J.; Wilson, Jill H.; Nugent, Jeffrey S.

2011-01-01

This article details the use of tablet PCs in a mathematics content course for future Mathematics Specialists. Instructors used tablet PCs instead of a traditional whiteboard to capture demonstration and discussion. Students were grouped for collaborative problem solving and exploration exercises. Each group was provided with a tablet PC for…

Experiences of Advanced High School Students in Synchronous Online Recitations

ERIC Educational Resources Information Center

Mayer, Greg; Lingle, Jeremy; Usselman, Marion

2017-01-01

The question of how to best design an online course that promotes student-centred learning is an area of ongoing research. This mixed-methods study focused on a section of advanced high school students, in college-level mathematics courses, that used a synchronous online environment mediated over web-conferencing software, and whether the…

Investigation of the Perceptions of Students on Mathematics Course via the Pictures They Draw

ERIC Educational Resources Information Center

Inan, Cemil

2015-01-01

The study aimed to scrutinize the perceptions of middle school students on the course of mathematics by using the pictures they drew. In the study conducted with 211 students attending two middle schools in Diyarbakir district center and in a village in 2014-2015 academic year, qualitative research design and phenomenology model were utilized.…

Solving Relational Database Problems with ORDBMS in an Advanced Database Course

ERIC Educational Resources Information Center

Wang, Ming

2011-01-01

This paper introduces how to use the object-relational database management system (ORDBMS) to solve relational database (RDB) problems in an advanced database course. The purpose of the paper is to provide a guideline for database instructors who desire to incorporate the ORDB technology in their traditional database courses. The paper presents…

Deepening Pre-Service Teachers' Knowledge of Technology, Pedagogy, and Content (TPACK) in an Elementary School Mathematics Methods Course

ERIC Educational Resources Information Center

Polly, Drew

2014-01-01

This paper presents the findings of a study that examined pre-service teachers' development of knowledge about technology, pedagogy and content (TPACK) during a mathematics pedagogy course focused on elementary school mathematics in the United States. Data sources included work samples from pre-service teachers as well as an open-ended survey…

Enhancing Interdisciplinary Mathematics and Biology Education: A Microarray Data Analysis Course Bridging These Disciplines

ERIC Educational Resources Information Center

Tra, Yolande V.; Evans, Irene M.

2010-01-01

"BIO2010" put forth the goal of improving the mathematical educational background of biology students. The analysis and interpretation of microarray high-dimensional data can be very challenging and is best done by a statistician and a biologist working and teaching in a collaborative manner. We set up such a collaboration and designed a course on…

Advanced placement math and science courses: Influential factors and predictors for success in college STEM majors

NASA Astrophysics Data System (ADS)

Hoepner, Cynthia Colon

President Obama has recently raised awareness on the need for our nation to grow a larger pool of students with knowledge in science mathematics, engineering, and technology (STEM). Currently, while the number of women pursuing college degrees continues to rise, there remains an under-representation of women in STEM majors across the country. Although research studies offer several contributing factors that point to a higher attrition rate of women in STEM than their male counterparts, no study has investigated the role that high school advanced placement (AP) math and science courses play in preparing students for the challenges of college STEM courses. The purpose of this study was to discover which AP math and science courses and/or influential factors could encourage more students, particularly females, to consider pursuing STEM fields in college. Further, this study examined which, if any, AP math or science courses positively contribute to a student's overall preparation for college STEM courses. This retrospective study combined quantitative and qualitative research methods. The survey sample consisted of 881 UCLA female and male students pursuing STEM majors. Qualitative data was gathered from four single-gender student focus groups, two female groups (15 females) and two male groups (16 males). This study examined which AP math and science courses students took in high school, who or what influenced them to take those courses, and which particular courses influenced student's choice of STEM major and/or best prepared her/him for the challenges of STEM courses. Findings reveal that while AP math and science course-taking patterns are similar of female and male STEM students, a significant gender-gap remains in five of the eleven AP courses. Students report four main influences on their choice of AP courses; self, desire for math/science major, higher grade point average or class rank, and college admissions. Further, three AP math and science courses were

Predicting SAT Performance from Advanced Course Content and Timing of Matriculation

ERIC Educational Resources Information Center

Patterson, Jonathan Sparks

2012-01-01

As record numbers of students are applying to selective colleges and universities, students are attempting to set themselves apart from their peers by taking rigorous advanced courses in high school. The race for improving a student's academic record has resulted in more and more students taking these courses earlier and earlier in their high…

The Relationships among Mathematics Teaching Efficacy, Mathematics Self-Efficacy, and Mathematical Beliefs for Elementary Pre-Service Teachers

ERIC Educational Resources Information Center

Briley, Jason S.

2012-01-01

Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…

Mathematics Self-Efficacy and Flow in Developmental Mathematics Students

ERIC Educational Resources Information Center

Golnabi, Laura

2017-01-01

This study examined mathematics self-efficacy and the characteristics of flow in the context of performing mathematical tasks. In particular, it explored the subjective experiences of 113 undergraduate students enrolled in a developmental mathematics course while they were independently solving certain mathematical problems. This study…

Do High School STEM Courses Prepare Non-College Bound Youth for Jobs in the STEM Economy?

ERIC Educational Resources Information Center

Bozick, Robert; Srinivasan, Sinduja; Gottfried, Michael

2017-01-01

Our study assesses whether high school science, technology, engineering, and mathematics (STEM) courses provide non-college bound youth with the skills and training necessary to successfully transition from high school into the STEM economy. Specifically, our study estimates the effects that advanced math, advanced science, engineering, and…

Productive and ineffective efforts: how student effort in high school mathematics relates to college calculus success

NASA Astrophysics Data System (ADS)

Barnett, M. D.; Sonnert, G.; Sadler, P. M.

2014-10-01

Relativizing the popular belief that student effort is the key to success, this article finds that effort in the most advanced mathematics course in US high schools is not consistently associated with college calculus performance. We distinguish two types of student effort: productive and ineffective efforts. Whereas the former carries the commonly expected benefits, the latter is associated with negative consequences. Time spent reading the course text in US high schools was negatively related to college calculus performance. Daily study time, however, was found to be either a productive or an ineffective effort, depending on the level of high school mathematics course and the student's performance in it.

Do Mathematics and Reading Competencies Integrated into Career and Technical Education Courses Improve High School Student State Assessment Scores?

ERIC Educational Resources Information Center

Pierce, Kristin B.; Hernandez, Victor M.

2015-01-01

A quasi experimental study tested a contextual teaching and learning model for integrating reading and mathematics competencies through 13 introductory career and technical education (CTE) courses. The treatment group consisted of students in the 13 introductory courses taught by the CTE teachers who designed the units and the control group…

Mathematical Modelling in Engineering: An Alternative Way to Teach Linear Algebra

ERIC Educational Resources Information Center

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

2016-01-01

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

Cam Design Projects in an Advanced CAD Course for Mechanical Engineers

ERIC Educational Resources Information Center

Ault, H. K.

2009-01-01

The objective of this paper is to present applications of solid modeling aimed at modeling of complex geometries such as splines and blended surfaces in advanced CAD courses. These projects, in CAD-based Mechanical Engineering courses, are focused on the use of the CAD system to solve design problems for applications in machine design, namely the…

Advanced Math Course Taking: Effects on Math Achievement and College Enrollment

ERIC Educational Resources Information Center

Byun, Soo-yong; Irvin, Matthew J.; Bell, Bethany A.

2015-01-01

Using data from the Educational Longitudinal Study of 2002-2006, the authors investigated the effects of advanced math course taking on math achievement and college enrollment and how such effects varied by socioeconomic status and race/ethnicity. Results from propensity score matching and sensitivity analyses showed that advanced math course…

Why Go Modular? A Review of Modular A-Level Mathematics.

ERIC Educational Resources Information Center

Taverner, Sally; Wright, Martin

1997-01-01

Attitudes, academic intentions, and attainment of students gaining a grade in A-level (Advanced level) mathematics were compared for those who followed a modular course and those assessed at the end of two years of study. Overall, the final grades of those assessed modularly were half a grade higher. (JOW)

Student Learning and Perceptions in a Flipped Linear Algebra Course

ERIC Educational Resources Information Center

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

2014-01-01

The traditional lecture style of teaching has long been the norm in college science, technology, engineering, and mathematics (STEM) courses, but an innovative teaching model, facilitated by recent advances in technology, is gaining popularity across college campuses. This new model inverts or "flips" the usual classroom paradigm, in…

Integration of a Communicating Science Module into an Advanced Chemistry Laboratory Course

ERIC Educational Resources Information Center

Renaud, Jessica; Squier, Christopher; Larsen, Sarah C.

2006-01-01

A communicating science module was introduced into an advanced undergraduate physical chemistry laboratory course. The module was integrated into the course such that students received formal instruction in communicating science interwoven with the chemistry laboratory curriculum. The content of the communicating science module included three…

Student Perceptions of a Mathematics Major for Prospective Elementary Teachers with an Inquiry-Based Philosophy

ERIC Educational Resources Information Center

Cook, Samuel A.; Borkovitz, Debra K.

2017-01-01

In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to…

Developing Guidance Material To Uncover a Mathematics Profile of Adult Participants on a Crane Course.

ERIC Educational Resources Information Center

Lindenskov, Lena

This paper reports on a pilot study in the Danish "Profile in Mathematics" project implemented by the Directorate General for Employment, Placement and Vocational Training and the Ministry of Education. The pilot study develops and tests specific guidance materials to guide participants and teachers through a course for crane workers…

Experiences of Student Mathematics-Teachers in Computer-Based Mathematics Learning Environment

ERIC Educational Resources Information Center

Karatas, Ilhan

2011-01-01

Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…

Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey

ERIC Educational Resources Information Center

Lew, Kristen; Fukawa-Connelly, Timothy Patrick; Mejía-Ramos , Juan Pablo; Weber, Keith

2016-01-01

We describe a case study in which we investigate the effectiveness of a lecture in advanced mathematics. We first videorecorded a lecture delivered by an experienced professor who had a reputation for being an outstanding instructor. Using video recall, we then interviewed the professor to determine the ideas that he intended to convey and how he…

Socioeconomic Status, Higher-Level Mathematics Courses, Absenteeism, and Student Mobility as Indicators of Work Readiness

ERIC Educational Resources Information Center

Folds, Lea D.; Tanner, C. Kenneth

2014-01-01

The purpose of this study was to analyze the relations among socioeconomic status, highest-level mathematics course, absenteeism, student mobility and measures of work readiness of high school seniors in Georgia. Study participants were 476 high school seniors in one Georgia county. The full regression model explained 27.5% of the variance in…

Course Redesign to Improve Pre-Service Teacher Engagement and Confidence to Teach Mathematics: A Case Study in Three Parts

ERIC Educational Resources Information Center

Larkin, Kevin

2016-01-01

This article examines pedagogical changes to a mathematics education course for pre-service teachers (PSTs) over a three-year period. Transactional Distance Theory (TDT) is used as a conceptual framework underpinning the course redesign. A case study of one campus (Campus A) is presented. It is chosen for analysis because, of the three campuses on…

Writing in the Professions: A Course Guide and Instructional Materials for an Advanced Composition Course.

ERIC Educational Resources Information Center

Goswami, Dixie; And Others

Intended for teachers of an advanced undergraduate composition course for majors in any of the liberal arts, social sciences, humanities, or business, this manual offers an outline, instructional materials, and some suggested assignments. Emphasis is placed on the process of composing, particularly the ways students should write for different…

Science and Mathematics Advanced Placement Exams: Growth and Achievement over Time

ERIC Educational Resources Information Center

Judson, Eugene

2017-01-01

Rapid growth of Advanced Placement (AP) exams in the last 2 decades has been paralleled by national enthusiasm to promote availability and rigor of science, technology, engineering, and mathematics (STEM). Trends were examined in STEM AP to evaluate and compare growth and achievement. Analysis included individual STEM subjects and disaggregation…

Understanding the Relationship between Parental Education and STEM Course Taking through Identity-Based and Expectancy-Value Theories of Motivation

ERIC Educational Resources Information Center

Svoboda, Ryan C.; Rozek, Christopher S.; Hyde, Janet S.; Harackiewicz, Judith M.; Destin, Mesmin

2016-01-01

High school students from lower-socioeconomic status (SES) backgrounds are less likely to enroll in advanced mathematics and science courses compared to students from higher-SES backgrounds. The current longitudinal study draws on identity-based and expectancy-value theories of motivation to explain the SES and mathematics and science…

Beliefs and Attitudes about Science and Mathematics in Pre-Service Elementary Teachers, STEM, and Non-STEM Majors in Undergraduate Physics Courses

NASA Astrophysics Data System (ADS)

Michaluk, Lynnette; Stoiko, Rachel; Stewart, Gay; Stewart, John

2018-04-01

Elementary teachers often hold inaccurate beliefs about the Nature of Science (NoS) and have negative attitudes toward science and mathematics. Using a pre-post design, the current study examined beliefs about the NoS, attitudes toward science and mathematics, and beliefs about the teaching of mathematics and science in a large sample study ( N = 343) of pre-service teachers receiving a curriculum-wide intervention to improve these factors in comparison with Science, Technology, Engineering, and Mathematics (STEM) and non-STEM majors in other physics courses ( N = 6697) who did not receive the intervention, over a 10-year period. Pre-service teachers evidenced initially more negative attitudes about mathematics and science than STEM majors and slightly more positive attitudes than non-STEM majors. Their attitudes toward mathematics and science and beliefs about the NoS were more similar to non-STEM than STEM majors. Pre-service teachers initially evidenced more positive beliefs about the teaching of mathematics and science, and their beliefs even increased slightly over the course of the semester, while these beliefs in other groups remained the same. Beliefs about the NoS and the teaching of mathematics and science were significantly negatively correlated for STEM and non-STEM majors, but were not significantly correlated for pre-service teachers. Beliefs about the NoS and attitudes toward mathematics and science were significantly positively correlated for both pre-service teachers and STEM students pursing the most mathematically demanding STEM majors. Attitudes toward science and mathematics were significantly positively correlated with accurate beliefs about the teaching of mathematics and science for all student groups.

Mathematics-Related Competence of Early Childhood Teachers Visiting a Continuous Professional Development Course: An Intervention Study

ERIC Educational Resources Information Center

Bruns, Julia; Eichen, Lars; Gasteiger, Hedwig

2017-01-01

Recent studies highlight early childhood teachers' mathematics-related competence. Developing this competence should be a main aspect of early childhood teachers' education. This is, however, not the case in all countries. Consequently, high-quality professional development courses are needed. Based on research results, we developed a…

Gender Gap Linked to Differential Socialization for High-Achieving Senior Mathematics Students.

ERIC Educational Resources Information Center

Campbell, James R.; Beaudry, Jeffrey S.

1998-01-01

Examined whether 11th-grade girls and boys enrolled in advanced mathematics courses nationwide were socialized in similar ways, using Campbell's differential socialization paradigm. Results uncovered a gender gap favoring boys. Self-imposed pressure and persistence had important direct effects on achievement. Self-concept had important direct…

Mathematics Models in Chemistry--An Innovation for Non-Mathematics and Non-Science Majors

ERIC Educational Resources Information Center

Rash, Agnes M.; Zurbach, E. Peter

2004-01-01

The intention of this article is to present a year-long interdisciplinary course, Mathematical Models in Chemistry. The course is comprised of eleven units, each of which has both a mathematical and a chemical component. A syllabus of the course is given and the format of the class is explained. The interaction of the professors and the content is…

Incentivizing Advanced Mathematics Study at Upper Secondary Level: The Case of Bonus Points in Ireland

ERIC Educational Resources Information Center

Treacy, Páraic Thomas

2018-01-01

Secondary level mathematics education in Ireland has recently experienced a period of significant change with the introduction of new curricula and the addition of an incentive to study upper secondary mathematics at the most advanced level (Higher Level). This incentive, typically referred to as 'bonus points', appears to have aided a significant…

Between the Academic Mathematics and the Mathematics Education Worlds.

ERIC Educational Resources Information Center

Moreira, Candida Queiroz

1997-01-01

Investigated stresses confronted by Portuguese secondary mathematics teachers during the first semester in a master's course, Perspectives on Mathematics Education, noting how they negatively affected teachers' self-confidence and morale and discussing fundamental issues teachers addressed in bridging the academic mathematics and mathematics…

Secondary School Advanced Mathematics, Chapter 4, Equations, Inequalities, and Radicals, Chapter 5, Circles and Spheres. Teacher's Commentary.

ERIC Educational Resources Information Center

Stanford Univ., CA. School Mathematics Study Group.

This manual was designed for use with the third of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

Implications for Scaling up Advanced Course Offerings and Takings: Evidence from Florida

ERIC Educational Resources Information Center

Iatarola, Patrice

2016-01-01

This chapter summarizes a set of research studies that focus on high school course offerings, takings, and effects. Improving high school experiences and having students graduate from high school ready for college are national priorities under President Obama's Race to the Top initiative. Doing so by expanding access to advanced courses dates back…

Development of an Advanced Training Course for Teachers and Researchers in Chemistry

ERIC Educational Resources Information Center

Dragisich, Vera; Keller, Valerie; Black, Rebecca; Heaps, Charles W.; Kamm, Judith M.; Olechnowicz, Frank; Raybin, Jonathan; Rombola, Michael; Zhao, Meishan

2016-01-01

Based on our long-standing Intensive Training Program for Effective Teaching Assistants in Chemistry, we have developed an Advanced Training Course for Teachers and Researchers in Chemistry at The University of Chicago. The topics in this course are designed to train graduate teaching assistants (GTAs) to become effective teachers and well-rounded…

The Effect of Using an Educational Website in Achievement of Bachelor Students in the Course of Basic Concepts in Mathematics at Al al-Bayt University

ERIC Educational Resources Information Center

Qudah, Ahmad Hassan

2016-01-01

The study aimed to detect the effect of using an educational site on the Internet in the collection of bachelor's students in the course of basic concepts in mathematics at Al al-Bayt University, and the study sample consisted of all students in the course basic concepts in mathematics in the first semester of the academic year 2014/2015 and the…

Secondary School Advanced Mathematics, Chapter 4, Equations, Inequalities, and Radicals, Chapter 5, Circles and Spheres. Student's Text.

ERIC Educational Resources Information Center

Stanford Univ., CA. School Mathematics Study Group.

This text is the third of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first of the two chapters in this text deals with equations, inequalities and radicals.…

Faculty Provisions of Accommodations for Students with Disabilities in Higher Education: An Analysis of Community College Faculty in the Traditional, Hybrid, and Online Mathematics Course Teaching Environments

ERIC Educational Resources Information Center

Mongiovi, Kelly Anne

2012-01-01

The purpose of this exploratory descriptive study was to examine the mathematics faculty provisions of accommodations for students with disabilities within a Florida Community College. Both developmental and college level mathematics courses were included in this study. This study examined courses taught in the traditional, hybrid, and online…

Learning Results from the Viewpoint of Equity: Boys, Girls and Mathematics.

ERIC Educational Resources Information Center

Pehkonen, Erkki

1997-01-01

Explores why girls successful in mathematics choose advanced courses in upper secondary school less than did boys. Analyzes the results of tests and a student questionnaire (N=739) in Finland. Findings indicate that in the case of word problems and calculation without calculators, boys are significantly better than girls. Reports that the boys…

Computer Mathematics: An Introduction. Part II.

ERIC Educational Resources Information Center

New York City Board of Education, Brooklyn, NY. Div. of Curriculum and Instruction.

This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…

Women in Mathematics: A Nested Approach

ERIC Educational Resources Information Center

Köse, Emek; Johnson, Angela C.

2016-01-01

In this article, we present a case study of a course called Women in Mathematics. Students in the course studied the lives and the mathematical contributions of women mathematicians throughout history, as well as current gender equity issues in the study of mathematics and in mathematical careers. They also mentored 20 middle school girls…

The Presentation of Technology for Teaching and Learning Mathematics in Textbooks: Content Courses for Elementary Teachers

ERIC Educational Resources Information Center

Jones, Dustin; Hollas, Victoria; Klespis, Mark

2017-01-01

This article presents an overview of the ways technology is presented in textbooks written for mathematics content courses for prospective elementary teachers. Six popular textbooks comprising a total of more than 5,000 pages were examined, and 1,055 distinct references to technology were identified. These references are coded according to…

Developing Distinct Mathematical and Scientific Pedagogical Content Knowledge in an Early Childhood Dual-Content Methods Course: An Alternative to Integration

ERIC Educational Resources Information Center

Kalchman, Mindy; Kozoll, Richard H.

2017-01-01

Methods for teaching early childhood mathematics and science are often addressed in a single, dual-content course. Approaches to teaching this type of course include integrating the content and the pedagogy of both subjects, or keeping the subject areas distinct. In this article, the authors discuss and illustrate their approach to such a combined…

Female and male adolescents' subjective orientations to mathematics and the influence of those orientations on postsecondary majors.

PubMed

Perez-Felkner, Lara; McDonald, Sarah-Kathryn; Schneider, Barbara; Grogan, Erin

2012-11-01

Although important strides toward gender parity have been made in several scientific fields, women remain underrepresented in the physical sciences, engineering, mathematics, and computer sciences (PEMCs). This study examines the effects of adolescents' subjective orientations, course taking, and academic performance on the likelihood of majoring in PEMC in college. Results indicate that racial-ethnic and gender underrepresentation in science, technology, engineering, and mathematics (STEM) fields are interrelated and should be examined with attention to the intersecting factors influencing female and racial-ethnic minority adolescents' pathways toward careers in these fields. Among those who major in PEMC fields, women closely resemble men with respect to their subjective orientations. The effects of subjective orientations on women's chances of majoring in PEMC vary by their secondary school mathematics course completion levels. Women who take more mathematics courses are more likely to major in PEMC; however, course taking alone does not attenuate gender disparities in declaring these majors. High mathematics ability (as measured by standardized test scores in the 10th grade) appears to be positively associated with women's selection of social, behavioral, clinical, and health science majors. This association is less robust (and slightly negative) for women in PEMC. While advanced course taking appears to assist women in selecting PEMC majors, women who enter these fields may not be as strong as those who select other, less male-dominated scientific fields.

The Advanced Lab Course at the University of Houston

NASA Astrophysics Data System (ADS)

Forrest, Rebecca

2009-04-01

The University of Houston Advanced Lab course is designed to help students understand the physics in classic experiments, become familiar with experimental equipment and techniques, gain experience with independent experimentation, and learn to communicate results orally and in writing. It is a two semester course, with a Lab Seminar also required during the first semester. In the Seminar class we discuss keeping a notebook and writing a laboratory report, error analysis, data fitting, and scientific ethics. The students give presentations, in pairs, on the workings and use of basic laboratory equipment. In the Lab courses students do a one week introductory experiment, followed by six two-week experiments each semester. These range from traditional experiments in modern physics to contemporary experiments with superconductivity and chaos. The students are required to keep a laboratory notebook and to write a four-page paper for each experiment in the publication style of the American Institute of Physics. This course introduces students to the experimental tools and techniques used in physics, engineering, and industry laboratories, and allows them to mature as experimentalists.

Perspectives of Prospective Elementary School Teachers on Feedback in the Mathematics Instruction I and II Courses

ERIC Educational Resources Information Center

Kögce, Davut

2015-01-01

The purpose of this study was to examine prospective elementary teachers' views on the feedback provided by the instructor and their peers during the courses, Mathematics Instruction I and II, and its contribution to their learning. Forty participants were regularly given feedback by the instructor and their peers while they were taking…

Mathematics and Sciences Course Taking among Arab Students in Israel: A Case of Unexpected Gender Equality.

ERIC Educational Resources Information Center

Ayalon, Hanna

2002-01-01

Using multilevel analysis on a sample of academic-track 12th graders in Israel, compared gender inequality in course taking of mathematics and sciences in Arab and Jewish high schools. Findings show gender inequality to be almost nonexistent in Arab schools, but prominent in Jewish schools. Differences are explained by the differences in…

Applying NAEP to Improve Mathematics Content and Methods Courses for Preservice Elementary and Middle School Teachers

ERIC Educational Resources Information Center

Goodson-Espy, Tracy; Cifarelli, Victor V.; Pugalee, David; Lynch-Davis, Kathleen; Morge, Shelby; Salinas, Tracie

2014-01-01

This study explored how mathematics content and methods courses for preservice elementary and middle school teachers could be improved through the integration of a set of instructional materials based on the National Assessment of Educational Progress (NAEP). A set of eight instructional modules was developed and tested. The study involved 7…

Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics

ERIC Educational Resources Information Center

Hirsch, Christian R., Ed.; McDuffie, Amy Roth, Ed.

2016-01-01

Mathematical modeling plays an increasingly important role both in real-life applications--in engineering, business, the social sciences, climate study, advanced design, and more--and within mathematics education itself. This 2016 volume of "Annual Perspectives in Mathematics Education" ("APME") focuses on this key topic from a…

The Effect of Enrollment in Middle School Challenge Courses on Advanced Placement Exams in Social Studies and Science

ERIC Educational Resources Information Center

Glaude-Bolte, Katherine

2010-01-01

Educators seek to guide students through appropriate programs and courses that prepare them for future success, in more advanced coursework and in other challenges of life. Some middle schools offer Challenge, or honors, courses for students who have demonstrated high ability. High schools often offer Advanced Placement (AP) courses, which are…

Secondary School Advanced Mathematics, Chapter 1, Organizing Geometric Knowledge, Chapter 2, Concepts and Skills in Algebra. Student's Text.

ERIC Educational Resources Information Center

Stanford Univ., CA. School Mathematics Study Group.

This text is the first of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first chapter, devoted to organizing geometric knowledge, deals with the distinction…

Engaging High School Students in Advanced Math and Science Courses for Success in College: Is Advanced Placement the Answer?

ERIC Educational Resources Information Center

Kelley-Kemple, Thomas; Proger, Amy; Roderick, Melissa

2011-01-01

The current study provides an in-depth look at Advanced Placement (AP) math and science course-taking in one school district, the Chicago Public Schools (CPS). Using quasi-experimental methods, this study examines the college outcomes of students who take AP math and science courses. Specifically, this study asks whether students who take AP math…

Cosmology. A first course

NASA Astrophysics Data System (ADS)

Lachieze-Rey, Marc

This book delivers a quantitative account of the science of cosmology, designed for a non-specialist audience. The basic principles are outlined using simple maths and physics, while still providing rigorous models of the Universe. It offers an ideal introduction to the key ideas in cosmology, without going into technical details. The approach used is based on the fundamental ideas of general relativity such as the spacetime interval, comoving coordinates, and spacetime curvature. It provides an up-to-date and thoughtful discussion of the big bang, and the crucial questions of structure and galaxy formation. Questions of method and philosophical approaches in cosmology are also briefly discussed. Advanced undergraduates in either physics or mathematics would benefit greatly from use either as a course text or as a supplementary guide to cosmology courses.

Mathematical Perspectives

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

Glimm, J.

2009-10-14

Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometrymore » and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.« less

Should I Take Further Mathematics? Physics Undergraduates' Experiences of Post-Compulsory Mathematics

ERIC Educational Resources Information Center

Bowyer, Jessica; Darlington, Ellie

2017-01-01

It is essential that physics undergraduates are appropriately prepared for the mathematical demands of their course. This study investigated physics students' perceptions of post-compulsory mathematics as preparation for their degree course. 494 physics undergraduates responded to an online questionnaire about their experiences of A-level…

Using the Principles of SoTL to Redesign an Advanced Evolutionary Biology Course

ERIC Educational Resources Information Center

deBraga, Michael; Boyd, Cleo; Abdulnour, Shahad

2015-01-01

A primary goal of university instruction is the students' demonstration of improved, highly developed critical thinking (CT) skills. However, how do faculty encourage CT and its potential concomitant increase in student workload without negatively impacting student perceptions of the course? In this investigation, an advanced biology course is…

Secondary School Advanced Mathematics, Chapter 1, Organizing Geometric Knowledge, Chapter 2, Concepts and Skills in Algebra. Teacher's Commentary.

ERIC Educational Resources Information Center

Stanford Univ., CA. School Mathematics Study Group.

This manual was designed for use with the first of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

Mathematical Aspects of Educating Architecture Designers: A College Study

ERIC Educational Resources Information Center

Verner, I. M.; Maor, S.

2005-01-01

This paper considers a second-year Mathematical Aspects in Architectural Design course, which relies on a first-year mathematics course and offers mathematical learning as part of hands-on practice in architecture design studio. The 16-hour course consisted of seminar presentations of mathematics concepts, their application to covering the plane…

Examining the Impact of a Video Case-Based Mathematics Methods Course on Secondary Pre-Service Teachers' Skills at Analysing Students' Strategies

ERIC Educational Resources Information Center

Martinez, Mara Vanina; Superfine, Alison Castro; Carlton, Theresa; Dasgupta, Chandan

2015-01-01

This paper focuses on results from a study conducted with two cohorts of pre-service teachers (PSTs) in a video case-based mathematics methods course at a large Midwestern university in the US. The motivation for this study was to look beyond whether or not PSTs pay attention to mathematical thinking of students, as shown by previous studies when…

The Mathematics Education Debates: Preparing Students to Become Professionally Active Mathematics Teachers

ERIC Educational Resources Information Center

Munakata, Mika

2010-01-01

The Mathematics Education Debate is an assignment designed for and implemented in an undergraduate mathematics methods course for prospective secondary school mathematics teachers. For the assignment, students read and analyze current research and policy reports related to mathematics education, prepare and present their positions, offer…

Giving Reason to Prospective Mathematics Teachers

ERIC Educational Resources Information Center

D'Ambrosio, Beatriz; Kastberg, Signe

2012-01-01

This article describes the development of the authors' understanding of the contradictions in their mathematics teacher education practice. This understanding emerged from contrasting analyses of the impact of the authors' practices in mathematics content courses versus mathematics methods courses. Examples of the authors' work with two students,…

A flipped mode teaching approach for large and advanced electrical engineering courses

NASA Astrophysics Data System (ADS)

Ravishankar, Jayashri; Epps, Julien; Ambikairajah, Eliathamby

2018-05-01

A fully flipped mode teaching approach is challenging for students in advanced engineering courses, because of demanding pre-class preparation load, due to the complex and analytical nature of the topics. When this is applied to large classes, it brings an additional complexity in terms of promoting the intended active learning. This paper presents a novel selective flipped mode teaching approach designed for large and advanced courses that has two aspects: (i) it provides selective flipping of a few topics, while delivering others in traditional face-to-face teaching, to provide an effective trade-off between the two approaches according to the demands of individual topics and (ii) it introduces technology-enabled live in-class quizzes to obtain instant feedback and facilitate collaborative problem-solving exercises. The proposed approach was implemented for a large fourth year course in electrical power engineering over three successive years and the criteria for selecting between the flipped mode teaching and traditional teaching modes are outlined. Results confirmed that the proposed approach improved both students' academic achievements and their engagement in the course, without overloading them during the teaching period.

Business Mathematics Curriculum Guide.

ERIC Educational Resources Information Center

Ebersole, Benjamin P., Comp.; And Others

This revised course in business mathematics emphasizes computations needed for problem solving, but greater attention is focused on mathematical principles that were developed in previous grades. In addition, the course aims to develop further an understanding of business principles and practices which can be used in gainful employment and in the…

Incentivizing advanced mathematics study at upper secondary level: the case of bonus points in Ireland

NASA Astrophysics Data System (ADS)

Treacy, Páraic Thomas

2018-04-01

Secondary level mathematics education in Ireland has recently experienced a period of significant change with the introduction of new curricula and the addition of an incentive to study upper secondary mathematics at the most advanced level (Higher Level). This incentive, typically referred to as 'bonus points', appears to have aided a significant increase in the number of students studying upper secondary mathematics at Higher Level. However, thematic analysis of interviews with experienced upper secondary mathematics examiners and exploration of mathematics diagnostic test data outlined in this paper suggest that the difficulty of the Higher Level upper secondary mathematics final examination in Ireland has reduced since the introduction of the bonus points initiative. The sharp increase in students attempting this examination coupled with a policy of maintaining a consistent proportion of students achieving passing grades was identified as a key reason for this possible reduction in standards.

Mathematics Underground

ERIC Educational Resources Information Center

Luther, Kenneth H.

2012-01-01

Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…

Contradictions between and within School and University Activity Systems Helping to Explain Students' Difficulty with Advanced Mathematics

ERIC Educational Resources Information Center

Jooganah, Kamila; Williams, Julian S.

2016-01-01

This article explores how contradictions, as framed by activity theory (Engeström, 1987), can explain first-year undergraduate students' experiences of learning advanced mathematics. Analysing qualitative interview and observational data of students and lecturers based in one university mathematics department, we argue that contradictions between…

Mathematization in introductory physics

NASA Astrophysics Data System (ADS)

Brahmia, Suzanne M.

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

Effects of an Emotion Control Treatment on Academic Emotions, Motivation and Achievement in an Online Mathematics Course

ERIC Educational Resources Information Center

Kim, ChanMin; Hodges, Charles B.

2012-01-01

We designed and developed an emotion control treatment and investigated its effects on college students' academic emotions, motivation, and achievement in an online remedial mathematics course. The treatment group showed more positive emotions of enjoyment and pride than the control group. The treatment group also showed a higher level of…

Distance Learning in Advanced Military Education: Analysis of Joint Operations Course in the Taiwan Military

ERIC Educational Resources Information Center

Tung, Ming-Chih; Huang, Jiung-yao; Keh, Huan-Chao; Wai, Shu-shen

2009-01-01

High-ranking officers require advanced military education in war tactics for future combat. However, line officers rarely have time to take such courses on campus. The conventional solution to this problem used to take the inefficient correspondence courses. Whereas Internet technologies progress, online course is the current trend for military…

Advanced Placement Course Description: Government and Politics, American Comparative: May 1987-May 1988.

ERIC Educational Resources Information Center

College Entrance Examination Board, Princeton, NJ.

The Advanced Placement Program is based on the premise that young people can complete college-level studies while in secondary schools. It is an instrument of cooperation that extends the educational opportunities available to students by giving secondary school college-level courses appropriate college credit and placement. Advanced Placement…

The Origins of Liberal Arts Mathematics

ERIC Educational Resources Information Center

George, Michael

2010-01-01

"Liberal arts mathematics" differs from traditional mathematics courses in that it consists of a disparate collection of topics, rather than being organized around a single mathematical subject. As a result, the educational rationale for and purpose of the course may be vague both to instructors and students. The purpose of this study is to…

Predicting Scientific Understanding of Prospective Elementary Teachers: Role of Gender, Education Level, Courses in Science, and Attitudes Toward Science and Mathematics

NASA Astrophysics Data System (ADS)

Kumar, David D.; Morris, John D.

2005-12-01

A multiple regression analysis of the relationship between prospective teachers' scientific understanding and Gender, Education Level (High School, College), Courses in Science (Biology, Chemistry, Physics, Earth Science, Astronomy, and Agriculture), Attitude Towards Science, and Attitude Towards Mathematics is reported. Undergraduate elementary science students ( N = 176) in an urban doctoral-level university in the United States participated in this study. The results of this study showed Gender, completion of courses in High School Chemistry and Physics, College Chemistry and Physics, and Attitudes Toward Mathematics and Science significantly correlated with scientific understanding. Based on a regression model, Gender, and College Chemistry and Physics experiences added significant predictive accuracy to scientific understanding among prospective elementary teachers compared to the other variables.

Primary School Pre-Service Mathematics Teachers' Views on Mathematical Modeling

ERIC Educational Resources Information Center

Karali, Diren; Durmus, Soner

2015-01-01

The current study aimed to identify the views of pre-service teachers, who attended a primary school mathematics teaching department but did not take mathematical modeling courses. The mathematical modeling activity used by the pre-service teachers was developed with regards to the modeling activities utilized by Lesh and Doerr (2003) in their…

Measuring and Advancing Experimental Design Ability in an Introductory Course without Altering Existing Lab Curriculum.

PubMed

Shanks, Ryan A; Robertson, Chuck L; Haygood, Christian S; Herdliksa, Anna M; Herdliska, Heather R; Lloyd, Steven A

2017-01-01

Introductory biology courses provide an important opportunity to prepare students for future courses, yet existing cookbook labs, although important in their own way, fail to provide many of the advantages of semester-long research experiences. Engaging, authentic research experiences aid biology students in meeting many learning goals. Therefore, overlaying a research experience onto the existing lab structure allows faculty to overcome barriers involving curricular change. Here we propose a working model for this overlay design in an introductory biology course and detail a means to conduct this lab with minimal increases in student and faculty workloads. Furthermore, we conducted exploratory factor analysis of the Experimental Design Ability Test (EDAT) and uncovered two latent factors which provide valid means to assess this overlay model's ability to increase advanced experimental design abilities. In a pre-test/post-test design, we demonstrate significant increases in both basic and advanced experimental design abilities in an experimental and comparison group. We measured significantly higher gains in advanced experimental design understanding in students in the experimental group. We believe this overlay model and EDAT factor analysis contribute a novel means to conduct and assess the effectiveness of authentic research experiences in an introductory course without major changes to the course curriculum and with minimal increases in faculty and student workloads.

Advanced Course Offerings and Completion in Science, Technology, Engineering, and Math in Texas Public High Schools. REL 2018-276

ERIC Educational Resources Information Center

Garland, Marshall; Rapaport, Amie

2017-01-01

Taking advanced high school courses predicts such postsecondary outcomes as enrolling in college, persisting in college courses, and completing a degree. In Texas, where Hispanic students make up 51 percent of the student population, their access to and enrollment in advanced courses is an ongoing concern despite recent gains. In particular,…

Detracking and Tracking Up: Mathematics Course Placements in California Middle Schools, 2003-2013

ERIC Educational Resources Information Center

Domina, Thurston; Hanselman, Paul; Hwang, NaYoung; McEachin, Andrew

2016-01-01

Between 2003 and 2013, the proportion of California eighth graders enrolled in algebra or a more advanced course nearly doubled to 65%. In this article, we consider the organizational processes that accompanied this curricular intensification. Facing a complex set of accountability, institutional, technical/functional, and internal political…

32 CFR Appendix D to Part 110 - Application of Advanced Course Formula (Male and Female Members) (Sample)

Code of Federal Regulations, 2011 CFR

2011-07-01

... 32 National Defense 1 2011-07-01 2011-07-01 false Application of Advanced Course Formula (Male and Female Members) (Sample) D Appendix D to Part 110 National Defense Department of Defense OFFICE OF THE... Appendix D to Part 110—Application of Advanced Course Formula (Male and Female Members) (Sample) Zone I...

Two Dilemmas in Communicating Mathematics in Adult Basic Courses: "How To Support Pre-Knowledge of Adult Learners" and "How To Support Democratic Classroom Decisions."

ERIC Educational Resources Information Center

Lindenskov, Lena; Hansen, Eigil Peter

This study explores how adults' perspectives, intentions, blockages, resistance, and fascinations are reconstructed during a mathematics course in adult basic education. These aspects are discussed as important building blocks for developing theory in adult educational research. Adult mathematics education was compared in different institutional…

Effects of Advance Organiser Strategy during Instruction on Secondary School Students' Mathematics Achievement in Kenya's Nakuru District

ERIC Educational Resources Information Center

Githua, Bernard N.; Nyabwa, Rachel Angela

2008-01-01

Students have continued to perform poorly in KCSE examinations in certain mathematics topics taught in secondary schools in Kenya. One such topic is commercial arithmetic. Successful teaching of mathematics depends partly on correct use of teaching methods in classroom settings. This study sought to examine how the use of advance organisers during…

Contribution of Mathematics In-Service Training Course to the Professional Development of Elementary School Teachers in Israel

ERIC Educational Resources Information Center

Mishal, Adina; Patkin, Dorit

2016-01-01

The present study aimed to explore the contribution of a mathematics in-service training course to elementary school teachers (1st-6th grades) in Israel. The study was conducted among 449 educators. They were required to respond to background questions. Moreover, they were asked to indicate their expectations from the in-service training course…

Demography as Destiny the Role of Parental Connoisseurship and Mathematics Course Taking Patterns among High School Students

ERIC Educational Resources Information Center

Degner, Katherine Marie

2012-01-01

This study uses data from the National Center of Education Statistics (NCES) High School Longitudinal Study of 2009 (HSLS:09). Parent responses to the Parent Involvement survey, given as part of the NCES study were considered, along with their child's socio-economic status and self-reported level of mathematics course enrollment during their…

The Role of Gender and Friendship in Advanced Course Taking

PubMed Central

Riegle-Crumb, Catherine; Farkas, George; Muller, Chandra

2010-01-01

This article examines the role of friends in girls' and boys' advanced course taking and explores whether friends' characteristics are particularly important for girls' math and science attainment. With the use of data from Adolescent Health and Academic Achievement and the National Longitudinal Study of Adolescent Heath, the results indicate that same-sex friends' academic performance significantly predicts course taking in all subjects for girls, but not for boys. Furthermore, for math and science only, the effects of friends' performance are greater in the context of a predominantly female friendship group, which suggests that such groups provide a counterpoint to the gendered stereotypes and identities of those subjects. PMID:20333274

The Use of the History of Mathematics in the Teaching Pre-Service Mathematics Teachers

ERIC Educational Resources Information Center

Galante, Dianna

2014-01-01

Many scholars have written about using the history of mathematics in the teaching of pre-service mathematics teachers. For this study, pre-service mathematics teachers developed an electronic journal of reflections based on presentations in the history of mathematics in a secondary mathematics education course. The main purpose of the…

The Development of Mathematical Knowledge for Teaching of Mathematics Teachers in Lesson Analysis Process

ERIC Educational Resources Information Center

Baki, Mujgan

2015-01-01

This study aims to explore the role of lesson analysis in the development of mathematical knowledge for teaching. For this purpose, a graduate course based on lesson analysis was designed for novice mathematics teachers. Throughout the course the teachers watched videos of group-mates and discussed the issues they identified in terms of…

Detracking and Tracking Up: Mathematics Course Placements in California Middle Schools, 2003-2013

ERIC Educational Resources Information Center

Domina, Thurston; Hanselman, Paul; Hwang, NaYoung; McEachin, Andrew

2016-01-01

Between 2003 and 2013, the proportion of California 8th graders enrolled in Algebra or a more advanced course nearly doubled to 65 percent. In this paper, we consider the organizational processes that accompanied this curricular intensification. Facing a complex set of accountability, institutional, technical/functional, and internal political…

Evaluation of an advanced physical diagnosis course using consumer preferences methods: the nominal group technique.

PubMed

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

2014-03-01

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

Mathematics. [SITE 2001 Section].

ERIC Educational Resources Information Center

Connell, Michael L., Ed.; Lowery, Norene Vail, Ed.; Harnisch, Delwyn L., Ed.

This document contains the following papers on mathematics from the SITE (Society for Information Technology & Teacher Education) 2001 conference: "Secondary Mathematics Methods Course with Technology Units: Encouraging Pre-Service Teachers To Use Technology" (Rajee Amarasinghe); "Competency Exams in College Mathematics"…

Transforming a fourth year modern optics course using a deliberate practice framework

NASA Astrophysics Data System (ADS)

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

2015-12-01

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

Investigating Pre-Service Teachers' Mathematics Anxiety Using the Revised Mathematics Anxiety Scale (RMARS)

ERIC Educational Resources Information Center

Wilson, Sue

2012-01-01

Pre-service primary (elementary) teachers' mathematics anxiety affects their engagement with and future teaching of mathematics. The study measured the range of mathematics anxiety in 219 pre-service teachers starting a teacher education course in an Australian university. They responded to the Revised Mathematics Anxiety Scale (RMARS) and a set…

Object-Spatial Visualization and Verbal Cognitive Styles, and Their Relation to Cognitive Abilities and Mathematical Performance

ERIC Educational Resources Information Center

Haciomeroglu, Erhan Selcuk

2016-01-01

The present study investigated the object-spatial visualization and verbal cognitive styles among high school students and related differences in spatial ability, verbal-logical reasoning ability, and mathematical performance of those students. Data were collected from 348 students enrolled in Advanced Placement calculus courses at six high…

Advanced Mathematical Thinking and Students' Mathematical Learning: Reflection from Students' Problem-Solving in Mathematics Classroom

ERIC Educational Resources Information Center

Sangpom, Wasukree; Suthisung, Nisara; Kongthip, Yanin; Inprasitha, Maitree

2016-01-01

Mathematical teaching in Thai tertiary education still employs traditional methods of explanation and the use of rules, formulae, and theories in order for students to memorize and apply to their mathematical learning. This results in students' inability to concretely learn, fully comprehend and understand mathematical concepts and practice. In…

Increasing mathematical problem-solving performance through relaxation training

NASA Astrophysics Data System (ADS)

Sharp, Conni; Coltharp, Hazel; Hurford, David; Cole, Amykay

2000-04-01

Two intact classes of 30 undergraduate students enrolled in the same general education mathematics course were each administered the IPSP Mathematics Problem Solving Test and the Mathematics Anxiety Rating Scale at the beginning and end of the semester. Both groups experienced the same syllabus, lectures, course requirements, and assessment techniques; however, one group received relaxation training during an initial class meeting and during the first 5 to 7 minutes of each subsequent class. The group which had received relaxation training had significantly lower mathematics anxiety and significantly higher mathematics performance at the end of the course. The results suggest that relaxation training may be a useful tool for treating anxiety in undergraduate general education mathematics students.

Measuring and Advancing Experimental Design Ability in an Introductory Course without Altering Existing Lab Curriculum†

PubMed Central

Shanks, Ryan A.; Robertson, Chuck L.; Haygood, Christian S.; Herdliksa, Anna M.; Herdliska, Heather R.; Lloyd, Steven A.

2017-01-01

Introductory biology courses provide an important opportunity to prepare students for future courses, yet existing cookbook labs, although important in their own way, fail to provide many of the advantages of semester-long research experiences. Engaging, authentic research experiences aid biology students in meeting many learning goals. Therefore, overlaying a research experience onto the existing lab structure allows faculty to overcome barriers involving curricular change. Here we propose a working model for this overlay design in an introductory biology course and detail a means to conduct this lab with minimal increases in student and faculty workloads. Furthermore, we conducted exploratory factor analysis of the Experimental Design Ability Test (EDAT) and uncovered two latent factors which provide valid means to assess this overlay model’s ability to increase advanced experimental design abilities. In a pre-test/post-test design, we demonstrate significant increases in both basic and advanced experimental design abilities in an experimental and comparison group. We measured significantly higher gains in advanced experimental design understanding in students in the experimental group. We believe this overlay model and EDAT factor analysis contribute a novel means to conduct and assess the effectiveness of authentic research experiences in an introductory course without major changes to the course curriculum and with minimal increases in faculty and student workloads. PMID:28904647

Graphing Calculator Mini Course

NASA Technical Reports Server (NTRS)

Karnawat, Sunil R.

1996-01-01

The "Graphing Calculator Mini Course" project provided a mathematically-intensive technologically-based summer enrichment workshop for teachers of American Indian students on the Turtle Mountain Indian Reservation. Eleven such teachers participated in the six-day workshop in summer of 1996 and three Sunday workshops in the academic year. The project aimed to improve science and mathematics education on the reservation by showing teachers effective ways to use high-end graphing calculators as teaching and learning tools in science and mathematics courses at all levels. In particular, the workshop concentrated on applying TI-82's user-friendly features to understand the various mathematical and scientific concepts.

Integration of bioinformatics into an undergraduate biology curriculum and the impact on development of mathematical skills.

PubMed

Wightman, Bruce; Hark, Amy T

2012-01-01

The development of fields such as bioinformatics and genomics has created new challenges and opportunities for undergraduate biology curricula. Students preparing for careers in science, technology, and medicine need more intensive study of bioinformatics and more sophisticated training in the mathematics on which this field is based. In this study, we deliberately integrated bioinformatics instruction at multiple course levels into an existing biology curriculum. Students in an introductory biology course, intermediate lab courses, and advanced project-oriented courses all participated in new course components designed to sequentially introduce bioinformatics skills and knowledge, as well as computational approaches that are common to many bioinformatics applications. In each course, bioinformatics learning was embedded in an existing disciplinary instructional sequence, as opposed to having a single course where all bioinformatics learning occurs. We designed direct and indirect assessment tools to follow student progress through the course sequence. Our data show significant gains in both student confidence and ability in bioinformatics during individual courses and as course level increases. Despite evidence of substantial student learning in both bioinformatics and mathematics, students were skeptical about the link between learning bioinformatics and learning mathematics. While our approach resulted in substantial learning gains, student "buy-in" and engagement might be better in longer project-based activities that demand application of skills to research problems. Nevertheless, in situations where a concentrated focus on project-oriented bioinformatics is not possible or desirable, our approach of integrating multiple smaller components into an existing curriculum provides an alternative. Copyright © 2012 Wiley Periodicals, Inc.

Predicting Student Academic Performance in an Engineering Dynamics Course: A Comparison of Four Types of Predictive Mathematical Models

ERIC Educational Resources Information Center

Huang, Shaobo; Fang, Ning

2013-01-01

Predicting student academic performance has long been an important research topic in many academic disciplines. The present study is the first study that develops and compares four types of mathematical models to predict student academic performance in engineering dynamics--a high-enrollment, high-impact, and core course that many engineering…

Developing a Standard Based Advanced Lab Course that Fulfills COM3 Requirements

NASA Astrophysics Data System (ADS)

Michalak, Rudi

2015-03-01

An advanced physics lab has been developed into a course that fulfills the requirements for a university studies program `COM3' course using Standard Teaching (ST) methods. The COM3 course is a capstone course under the new USP2015 study requirements for all majors. It replaces the WC writing requirement, typically filled in the English Dept., and adds the teaching of oral and digital communication skills. ST is a method that replaces typical assessments (homework / exam grades) with new assessments that measure certain specified learning outcomes. In combination with oral assessments and an oral final exam, the ST proves an efficient tool to implement the USP Learning Outcomes into a physics course. COM3 requires an unprecedented seven learning outcomes in a single course. Variety of learning outcomes: interdisciplinary goals, levels of writing (with drafting steps), organizational structure, standard language metrics, research and presentation deliverance skills, appropriate addressing of a variety of audiences, etc. With other assessment approaches than ST this variety would be difficult to meet in a physics course. An extended ST rubric has been developed for this course and will be presented and discussed in some detail.

Preservice Mathematics Teachers' Perceptions of Using a Web 2.0 Technology as a Supportive Teaching-Learning Tool in a College Euclidean Geometry Course

ERIC Educational Resources Information Center

Hossain, Md. Mokter

2012-01-01

This mixed methods study examined preservice secondary mathematics teachers' perceptions of a blogging activity used as a supportive teaching-learning tool in a college Euclidean Geometry course. The effect of a 12-week blogging activity that was a standard component of a college Euclidean Geometry course offered for preservice secondary…

Preparation of Students Completing a Core-Plus or Commercially Developed High School Mathematics Curriculum for Intense College Mathematics Coursework

ERIC Educational Resources Information Center

Harwell, Michael R.; Medhanie, Amanuel; Post, Thomas R.; Norman, Ke; Dupuis, Danielle N.

2012-01-01

The purpose of this study was to examine the college mathematics achievement and course-taking of students at a large public research university who completed a commercially developed or standards-based (Core-Plus) high school mathematics curriculum, and who subsequently completed at least 2 college mathematics courses of difficulty level at or…

Student comprehension of mathematics through astronomy

NASA Astrophysics Data System (ADS)

Search, Robert

The purpose of this study is to examine how knowledge of astronomy can enhance college-level learning situations involving mathematics. The fundamental symbiosis between mathematics and astronomy was established early in the 17th century when Johannes Kepler deduced the 3 basic laws of planetary motion. This mutually harmonious relationship between these sciences has been reinforced repeatedly in history. In the early 20th century, for example, astronomer Arthur Eddington used photographic evidence from a 1919 solar eclipse to verify Einstein's mathematical theory of relativity. This study was conducted in 5 undergraduate mathematics classes over the course of 2 years. An introductory course in ordinary differential equations, taught in Spring Semester 2013, involved 4 students. A similar course in Spring Semester 2014 involved 6 students, a Summer Semester 2014 Calculus II course involved 2 students, and a Summer 2015 Astronomy course involved 8 students. The students were asked to use Kepler's astronomical evidence to deduce mathematical laws normally encountered on an undergraduate level. They were also asked to examine the elementary mathematical aspects involved in a theoretical trajectory to the planet Neptune. The summer astronomy class was asked to draw mathematical conclusions about large numbers from the recent discoveries concerning the dwarf planet Pluto. The evidence consists primarily of videotaped PowerPoint presentations conducted by the students in both differential equations classes, along with interviews and tests given in all the classes. All presentations were transcribed and examined to determine the effect of astronomy as a generator of student understanding of mathematics. An analysis of the data indicated two findings: definite student interest in a subject previously unknown to most of them and a desire to make the mathematical connection to celestial phenomena.

Impact of Maple(TM) on the design, instruction and performance in an undergraduate physics mathematical methods course

NASA Astrophysics Data System (ADS)

Runge, Alan Paul

1997-10-01

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

Teaching Undergraduate Mathematics Using CAS Technology: Issues and Prospects

ERIC Educational Resources Information Center

Tobin, Patrick C.; Weiss, Vida

2016-01-01

The use of handheld CAS technology in undergraduate mathematics courses in Australia is paradoxically shrinking under sustained disapproval or disdain from the professional mathematics community. Mathematics education specialists argue with their mathematics colleagues over a range of issues in course development and this use of CAS or even…

Explorations in Elementary Mathematical Modeling

ERIC Educational Resources Information Center

Shahin, Mazen

2010-01-01

In this paper we will present the methodology and pedagogy of Elementary Mathematical Modeling as a one-semester course in the liberal arts core. We will focus on the elementary models in finance and business. The main mathematical tools in this course are the difference equations and matrix algebra. We also integrate computer technology and…

Advancing K-8 Teachers' STEM Education for Teaching Interdisciplinary Science and Mathematics with Technologies

ERIC Educational Resources Information Center

Niess, Margaret; Gillow-Wiles, Henry

2013-01-01

This primarily online Master's degree program focused on advancing K-8 teachers' interdisciplinary mathematical and science content knowledge while integrating appropriate digital technologies as learning and teaching tools. The mixed-method, interpretive study examined in-service teachers' technological, pedagogical, and content knowledge (TPACK)…

Deepening Pre-Service Secondary Teachers' Mathematical Content Knowledge through Engaging with Peers' Mathematical Contributions

ERIC Educational Resources Information Center

Pournara, C.

2016-01-01

Depth and rigour in mathematical knowledge for pre-service secondary school mathematics teachers may be found in particular experiences of learning and doing school-level mathematics. Drawing on two cases from a course on financial mathematics for secondary school teachers, I illustrate opportunities for exploring compound and exponential growth.…

Variation in Content Coverage by Classroom Composition: An Analysis of Advanced Math Course Content

ERIC Educational Resources Information Center

Covay, Elizabeth

2011-01-01

Everyone knows that there is racial inequality in achievement returns from advanced math; however, they do not know why black students and white students taking the same level of math courses are not leaving with the same or comparable skill levels. To find out, the author examines variation in course coverage by the racial composition of the…

Enhancing interdisciplinary mathematics and biology education: a microarray data analysis course bridging these disciplines.

PubMed

Tra, Yolande V; Evans, Irene M

2010-01-01

BIO2010 put forth the goal of improving the mathematical educational background of biology students. The analysis and interpretation of microarray high-dimensional data can be very challenging and is best done by a statistician and a biologist working and teaching in a collaborative manner. We set up such a collaboration and designed a course on microarray data analysis. We started using Genome Consortium for Active Teaching (GCAT) materials and Microarray Genome and Clustering Tool software and added R statistical software along with Bioconductor packages. In response to student feedback, one microarray data set was fully analyzed in class, starting from preprocessing to gene discovery to pathway analysis using the latter software. A class project was to conduct a similar analysis where students analyzed their own data or data from a published journal paper. This exercise showed the impact that filtering, preprocessing, and different normalization methods had on gene inclusion in the final data set. We conclude that this course achieved its goals to equip students with skills to analyze data from a microarray experiment. We offer our insight about collaborative teaching as well as how other faculty might design and implement a similar interdisciplinary course.

Enhancing Interdisciplinary Mathematics and Biology Education: A Microarray Data Analysis Course Bridging These Disciplines

PubMed Central

Evans, Irene M.

2010-01-01

BIO2010 put forth the goal of improving the mathematical educational background of biology students. The analysis and interpretation of microarray high-dimensional data can be very challenging and is best done by a statistician and a biologist working and teaching in a collaborative manner. We set up such a collaboration and designed a course on microarray data analysis. We started using Genome Consortium for Active Teaching (GCAT) materials and Microarray Genome and Clustering Tool software and added R statistical software along with Bioconductor packages. In response to student feedback, one microarray data set was fully analyzed in class, starting from preprocessing to gene discovery to pathway analysis using the latter software. A class project was to conduct a similar analysis where students analyzed their own data or data from a published journal paper. This exercise showed the impact that filtering, preprocessing, and different normalization methods had on gene inclusion in the final data set. We conclude that this course achieved its goals to equip students with skills to analyze data from a microarray experiment. We offer our insight about collaborative teaching as well as how other faculty might design and implement a similar interdisciplinary course. PMID:20810954

Pre-Service Mathematics Teachers' Belief Systems

ERIC Educational Resources Information Center

Haser, Cigdem; Dogan, Oguzhan

2012-01-01

The influence of mathematics teacher education programme courses on pre-service teachers' mathematics teaching belief systems before their field experience was initially investigated through a Likert-type scale. The impact of a third year general teaching methodologies course was then investigated through the responses pre-service teachers…

Designing Online Playgrounds for Learning Mathematics

ERIC Educational Resources Information Center

Johnson, Heather Lynn; Hornbein, Peter; Bryson, Dana

2016-01-01

Fully online courses can provide teachers fresh opportunities to expand their mathematical conceptions and infuse technology into their classroom teaching. In this article, the authors share the experience of two classroom teachers (Hornbein and Bryson) who participated in a fully online mathematics education course--Expanding Conceptions of…

The Equity Education. Fostering the Advancement of Women in the Sciences, Mathematics, and Engineering.

ERIC Educational Resources Information Center

Davis, Cinda-Sue; And Others

This volume includes 10 reports that present findings and recommendations for advancing women in science, mathematics and engineering. Critical issues facing women in these disciplines are addressed, including demographic myths and realities at various educational levels; the educational pipeline for girls and women; involvement in education and…

Core-Plus Mathematics. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2010

2010-01-01

"Core-Plus Mathematics" is a four-year curriculum that replaces the traditional sequence with courses that each feature interwoven strands of algebra and functions, statistics and probability, geometry and trigonometry, and discrete mathematics. The first three courses in the series provide a common core of broadly useful mathematics,…

Intended and Unintended Effects of State-Mandated High School Science and Mathematics Course Graduation Requirements on Educational Attainment

ERIC Educational Resources Information Center

Plunk, Andrew D.; Tate, William F.; Bierut, Laura J.; Grucza, Richard A.

2014-01-01

Mathematics and science course graduation requirement (CGR) increases in the 1980s and 1990s might have had both intended and unintended consequences. Using logistic regression with Census and American Community Survey (ACS) data (n = 2,892,444), we modeled CGR exposure on (a) high school dropout, (b) beginning college, and (c) obtaining any…

Interest in mathematics and science among students having high mathematics aptitude

NASA Astrophysics Data System (ADS)

Ely, Jane Alice

The study investigates why men and women differ in their interest in mathematics and science and in the pursuit of careers in mathematics and science. The most persistent gender differential in educational standard testing is the scores in mathematics achievement. The mean Scholastic Aptitude Test (Mathematics) scores for women are consistently below that of men by about 40 points. One result of this gender differential in mathematics is that few women entertain a career requiring a robust knowledge of higher mathematics (i.e. engineering, computing, or the physical sciences). A large body of literature has been written attempting to explain why this is happening. Biological, cultural, structural and psychological explanations have been suggested and empirically examined. Controlling for mathematical ability is one method of sorting out these explanations. Eliminating mathematical ability as a factor, this dissertation reports the results of a study of men and women college students who all had high mathematics ability. Thus, any differences we found among them would have to be a result of other variables. Using a Mathematics Placement Exam and the SAT-M, forty-two students (12 males and 30 females) with high scores in both were interviewed. Student were asked about their experiences in high school and college mathematics, their career choices, and their attitudes toward mathematics. The findings, that there were no gender differences in the course selection, attitudes towards mathematics, and career choice, differed from my initial expectations. This negative finding suggests that women with high ability in mathematics are just as likely as men to pursue interests in mathematics and related courses in college and in selecting careers.

Factors related to student performance in statistics courses in Lebanon

NASA Astrophysics Data System (ADS)

Naccache, Hiba Salim

The purpose of the present study was to identify factors that may contribute to business students in Lebanese universities having difficulty in introductory and advanced statistics courses. Two statistics courses are required for business majors at Lebanese universities. Students are not obliged to be enrolled in any math courses prior to taking statistics courses. Drawing on recent educational research, this dissertation attempted to identify the relationship between (1) students’ scores on Lebanese university math admissions tests; (2) students’ scores on a test of very basic mathematical concepts; (3) students’ scores on the survey of attitude toward statistics (SATS); (4) course performance as measured by students’ final scores in the course; and (5) their scores on the final exam. Data were collected from 561 students enrolled in multiple sections of two courses: 307 students in the introductory statistics course and 260 in the advanced statistics course in seven campuses across Lebanon over one semester. The multiple regressions results revealed four significant relationships at the introductory level: between students’ scores on the math quiz with their (1) final exam scores; (2) their final averages; (3) the Cognitive subscale of the SATS with their final exam scores; and (4) their final averages. These four significant relationships were also found at the advanced level. In addition, two more significant relationships were found between students’ final average and the two subscales of Effort (5) and Affect (6). No relationship was found between students’ scores on the admission math tests and both their final exam scores and their final averages in both the introductory and advanced level courses. On the other hand, there was no relationship between students’ scores on Lebanese admissions tests and their final achievement. Although these results were consistent across course formats and instructors, they may encourage Lebanese universities

Benefits for Women and Men of Inquiry-Based Learning in College Mathematics: A Multi-Institution Study

ERIC Educational Resources Information Center

Laursen, Sandra L.; Hassi, Marja-Liisa; Kogan, Marina; Weston, Timothy J.

2014-01-01

Slow faculty uptake of research-based, student-centered teaching and learning approaches limits the advancement of U.S. undergraduate mathematics education. A study of inquiry-based learning (IBL) as implemented in over 100 course sections at 4 universities provides an example of such multicourse, multi-institution uptake. Despite variation in how…

Productive and Ineffective Efforts: How Student Effort in High School Mathematics Relates to College Calculus Success

ERIC Educational Resources Information Center

Barnett, M.D.; Sonnert, G.; Sadler, P.M.

2014-01-01

Relativizing the popular belief that student effort is the key to success, this article finds that effort in the most advanced mathematics course in US high schools is not consistently associated with college calculus performance. We distinguish two types of student effort: productive and ineffective efforts. Whereas the former carries the…

Reorganizing Freshman Business Mathematics II: Authentic Assessment in Mathematics through Professional Memos

ERIC Educational Resources Information Center

Green, Kris; Emerson, Allen

2008-01-01

The first part of this two-part paper [see EJ787497] described the development of a new freshman business mathematics (FBM) course at our college. In this paper, we discuss our assessment tool, the business memo, as a venue for students to apply mathematical skills, via mathematical modelling, to realistic business problems. These memos have…

Gendered Fields: Sports and Advanced Course Taking in High School

PubMed Central

Pearson, Jennifer; Crissey, Sarah R.; Riegle-Crumb, Catherine

2010-01-01

This study explores the association between sports participation and course taking in high school, specifically comparing subjects with varied gendered legacies—science and foreign language. Analyses of a nationally representative longitudinal sample (N=5,447) of U.S. adolescents from the National Longitudinal Study of Adolescent Health and the linked Adolescent Health and Academic Achievement transcript study show that male and female athletes are more likely than non-athletes to take both advanced foreign language and Physics, largely because of their higher academic orientation. However, the association between sports participation and course taking was strongest for girls’ Physics coursework, suggesting that sports may provide girls with a unique opportunity to develop the skills and confidence to persevere in the masculine domain of science. PMID:20221304

Impact of Advanced Grade 8 U.S. History on Participation and Performance in Advanced Placement Social Studies Courses in Grade 9

ERIC Educational Resources Information Center

Maina, Nyambura Susan

2015-01-01

At the request of the Office of Curriculum and Instructional Programs, the Office of Shared Accountability examined the impact of offering Advanced Grade 8 U.S. History on enrollment and performance in Advanced Placement (AP) social studies courses in Grade 9. The study compared Grade 9 enrollment and performance in AP U.S. History or AP U.S.…

Astronomy and Mathematics Education

NASA Astrophysics Data System (ADS)

Ros, Rosa M.

There are many European countries where Astronomy does not appear as a specific course on the secondary school. In these cases Astronomy content can be introduced by means of other subjects. There are some astronomical topics within the subject of Physics but this talk concerns introducing Astronomy in Mathematics classes. Teaching Astronomy through Mathematics would result in more exposure than through Physics as Mathematics is more prevalent in the curriculum. Generally it is not easy to motivate students in Mathematics but they are motivated to find out more about the universe and Astronomy current events than appears in the media. This situation can be an excellent introduction to several mathematics topics. The teachers in secondary and high school can use this idea in order to present more attractive mathematics courses. In particular some different examples will be offered regarding * Angles and spherical coordinates considering star traces * Logarithms and visual magnitudes * Plane trigonometry related orbital movements * Spherical trigonometry in connection with ecliptic obliquity * Conic curves related to sundial at several latitudes Some students do not enjoy studying Mathematics but they can be attracted by practical situations using Applied Mathematics: Astronomy is always very attractive to teenagers.

Software Template for Instruction in Mathematics

NASA Technical Reports Server (NTRS)

Shelton, Robert O.; Moebes, Travis A.; Beall, Anna

2005-01-01

Intelligent Math Tutor (IMT) is a software system that serves as a template for creating software for teaching mathematics. IMT can be easily connected to artificial-intelligence software and other analysis software through input and output of files. IMT provides an easy-to-use interface for generating courses that include tests that contain both multiple-choice and fill-in-the-blank questions, and enables tracking of test scores. IMT makes it easy to generate software for Web-based courses or to manufacture compact disks containing executable course software. IMT also can function as a Web-based application program, with features that run quickly on the Web, while retaining the intelligence of a high-level language application program with many graphics. IMT can be used to write application programs in text, graphics, and/or sound, so that the programs can be tailored to the needs of most handicapped persons. The course software generated by IMT follows a "back to basics" approach of teaching mathematics by inducing the student to apply creative mathematical techniques in the process of learning. Students are thereby made to discover mathematical fundamentals and thereby come to understand mathematics more deeply than they could through simple memorization.

A qualitative study comparing the instruction on vectors between a physics course and a trigonometry course

NASA Astrophysics Data System (ADS)

James, Wendy Michelle

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

Experiences of High-Achieving High School Students Who Have Taken Multiple Concurrent Advanced Placement Courses

ERIC Educational Resources Information Center

Milburn, Kristine M.

2011-01-01

Problem: An increasing number of high-achieving American high school students are enrolling in multiple Advanced Placement (AP) courses. As a result, high schools face a growing need to understand the impact of taking multiple AP courses concurrently on the social-emotional lives of high-achieving students. Procedures: This phenomenological…

Is Increased Access Enough? Advanced Placement Courses, Quality, and Success in Low-Income Urban Schools

ERIC Educational Resources Information Center

Hallett, Ronald E.; Venegas, Kristan M.

2011-01-01

This article combines descriptive statistics and interviews with college-bound high school students to explore the connection between increased access and academic quality of Advanced Placement (AP) courses in low-income urban high schools. Results suggest that although moderately more opportunities to take AP courses exist than in previous years,…

Using Technology to Promote Mathematical Discourse Concerning Women in Mathematics

ERIC Educational Resources Information Center

Phy, Lyn

2008-01-01

This paper discusses uses of technology to facilitate mathematical discourse concerning women in mathematics. Such a topic can be introduced in various traditional courses such as algebra, geometry, trigonometry, probability and statistics, or calculus, but it is not included in traditional textbooks. Through the ideas presented here, you can…

Describing Learning in An Advanced Online Case-Based Course in Environmental Science

ERIC Educational Resources Information Center

Missett, Tracy C.; Reed, Christine B.; Scot, Tammy P.; Callahan, Carolyn M.; Slade, Mary

2010-01-01

Researchers increasingly embrace online courses to compensate for lack of access to educational opportunities otherwise available in traditional school settings. Researchers also recommend alternatives to traditional AP coursework to better meet the diverse learning styles and needs of advanced learners. These recommendations have particular…

Gender and Course Selection in Upper Secondary Education: Effects of Academic Self-Concept and Intrinsic Value

ERIC Educational Resources Information Center

Nagy, Gabriel; Trautwein, Ulrich; Baumert, Jurgen; Koller, Olaf; Garrett, Jessica

2006-01-01

Predictions about processes linking gender to students' choices of advanced courses were derived from the internal/external frame of reference (I/E) model and expectancy value (EV) theory. The predictions were tested for the domains of mathematics and biology using data from 1,148 students attending academically oriented secondary schools in…

Mathematics and Global Survival.

ERIC Educational Resources Information Center

Schwartz, Richard H.

This resource was written to provide students with an awareness of critical issues facing the world today. In courses for college students, it can motivate their study of mathematics, teach them how to solve mathematical problems related to current global issues, provide coherence to mathematical studies through a focus on issues of human…

Basic Mathematics Machine Calculator Course.

ERIC Educational Resources Information Center

Windsor Public Schools, CT.

This series of four text-workbooks was designed for tenth grade mathematics students who have exhibited lack of problem-solving skills. Electric desk calculators are to be used with the text. In the first five chapters of the series, students learn how to use the machine while reviewing basic operations with whole numbers, decimals, fractions, and…

Mathematics teaching experiences of elementary preservice teachers with high and low mathematics anxiety during student teaching: A multiple case study

NASA Astrophysics Data System (ADS)

Nisbet, Leslie Deanna

This study investigated the teaching experiences of six elementary preservice teachers (EPTs), three with high mathematics anxiety and three with low mathematics anxiety, during their student teaching semester. The EPTs were selected from an initial pool of 121 EPTs who took the Abbreviated Mathematics Anxiety Scale. The cases were compared in a cross case analysis to highlight mathematics teaching experiences among EPTs. Data sources included EPT and researcher journal entries, interview transcripts, pre-lesson surveys, field notes, lesson plans, and artifacts of observed lessons. Data were coded using Shulman's content knowledge, Graeber's mathematics pedagogical content knowledge, and mathematics anxiety characteristics. Findings revealed both similarities and differences across EPTs as related to four major categories: (a) planning and resources used, (b) role of the cooperating teacher, (c) content knowledge, and (d) pedagogical content knowledge. All EPTs used mostly direct instruction and relied on the course textbook and their respective cooperating teacher as their primary resources for planning. Additionally, across participants, the cooperating teacher influenced EPTs' perceptions of students and teaching. Also, EPTs with high mathematics anxiety were weaker with respect to content knowledge and pedagogical content knowledge. Findings suggest a need to re-design methods courses to address improving the pedagogical content knowledge of EPTs with mathematics anxiety. Findings also suggest a need to develop content specific mathematics courses for EPTs to improve their content knowledge. Future studies could include a longitudinal study to follow highly anxious EPTs who take content specific elementary mathematics courses to observe their content knowledge and mathematics anxiety.

How Bob Barker Would (Probably) Teach Discrete Mathematics

ERIC Educational Resources Information Center

Urness, Timothy

2010-01-01

This article proposes a discrete mathematics course in which games from "The Price Is Right" are used to engage students in a deeper, practical study of discrete mathematics. The games themselves are not the focus of the course; rather, the mathematical principles of the games give motivation for the concepts being taught. The game examples are…

Actively Encouraging Learning and Degree Persistence in Advanced Astrophysics Courses

NASA Astrophysics Data System (ADS)

McIntosh, Daniel H.

2018-01-01

The need to grow and diversify the STEM workforce remains a critical national challenge. Less than 40% of college students interested in STEM achieve a bachelor's degree. These numbers are even more dire for women and URMs, underscoring a serious concern about the country's ability to remain competitive in science and tech. A major factor is persistent performance gaps in rigorous 'gateway' and advanced STEM courses for majors from diverse backgrounds leading to discouragement, a sense of exclusion, and high dropout rates. Education research has clearly demonstrated that interactive-engagement (`active learning') strategies increase performance, boost confidence, and help build positive 'identity' in STEM. Likewise, the evidence shows that traditional science education practices do not help most students gain a genuine understanding of concepts nor the necessary skill set to succeed in their disciplines. Yet, lecture-heavy courses continue to dominate the higher-ed curriculum, thus, reinforcing the tired notion that only a small percentage of 'special' students have the inherent ability to achieve a STEM degree. In short, very capable students with less experience and confidence in science, who belong to groups that traditionally are less identified with STEM careers, are effectively and efficiently 'weeded out' by traditional education practices. I will share specific examples for how I successfully incorporate active learning in advanced astrophysics courses to encourage students from all backgrounds to synthesize complex ideas, build bedrock conceptual frameworks, gain technical communication skills, and achieve mastery learning outcomes all necessary to successfully complete rigorous degrees like astrophysics. By creating an inclusive and active learning experience in junior-level extragalactic and stellar interiors/atmospheres courses, I am helping students gain fluency in their chosen major and the ability to 'think like a scientist', both critical to

Math 3007--Developmental Mathematics I. Course Outline.

ERIC Educational Resources Information Center

New York Inst. of Tech., Old Westbury.

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

Math 3310--Technical Mathematics I. Course Outline.

ERIC Educational Resources Information Center

New York Inst. of Tech., Old Westbury.

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

Advanced Marketing/Coop Course Outline.

ERIC Educational Resources Information Center

Dixon, Bobby

This document contains the information required to present a 1-year school course that is the capstone class of a 2-year marketing major and is designed for high school students wishing to develop the skills required for entry into the marketing industry. The document begins with a rationale, brief course description, list of course objectives,…

Preservice Secondary Mathematics Teachers' Development of Mathematical Knowledge for Teaching and Their Use of Knowledge in Their Instruction

ERIC Educational Resources Information Center

Moon, Kyunghee

2013-01-01

This study examined how preservice secondary mathematics teachers developed mathematical knowledge for teaching (MKT) around representations and big ideas through mathematics and mathematics education courses. The importance of big ideas and representations in mathematics has been emphasized in national standards as well as in literature. Yet,…

The Student Mathematics Portfolio: Value Added to Student Preparation?

ERIC Educational Resources Information Center

Burks, Robert

2010-01-01

This article describes key elements for educators to successfully implement a student mathematics portfolio in an undergraduate mathematics course. This article offers practical advice for implementing a student mathematics portfolio in a freshman precalculus course. We look at the potential value added to student class preparation and compare our…

Delivering Online Professional Development in Mathematics to Rural Educators

ERIC Educational Resources Information Center

Cady, Jo; Rearden, Kristin

2009-01-01

Rural school districts struggle to attract, retain, and support highly qualified mathematics teachers. A series of four online professional development courses in the form of integrated mathematics content and pedagogy courses was designed to meet the professional development needs of rural middle school mathematics teachers. Changes in teachers'…

Active-learning implementation in an advanced elective course on infectious diseases.

PubMed

Hidayat, Levita; Patel, Shreya; Veltri, Keith

2012-06-18

To describe the development, implementation, and assessment of an advanced elective course on infectious diseases using active-learning strategies. Pedagogy for active learning was incorporated by means of mini-lecture, journal club, and debate with follow-up discussion. Forty-eight students were enrolled in this 4-week elective course, in which 30% of course time was allocated for active-learning exercises. All activities were fundamentally designed as a stepwise approach in complementing each active-learning exercise. Achievement of the course learning objectives was assessed using a 5-point Likert scale survey instrument. Students' awareness of the significance of antimicrobial resistance was improved (p ≤ 0.05). Students' ability to critically evaluate the infectious-disease literature and its application in informed clinical judgments was also enhanced through these active-learning exercises (p ≤ 0.05). Students agreed that active learning should be part of the pharmacy curriculum and that active-learning exercises improved their critical-thinking, literature-evaluation, and self-learning skills. An elective course using active-learning strategies allowed students to combine information gained from the evaluation of infectious-disease literature, critical thinking, and informed clinical judgment. This blended approach ultimately resulted in an increased knowledge and awareness of infectious diseases.

Active-Learning Implementation in an Advanced Elective Course on Infectious Diseases

PubMed Central

Patel, Shreya; Veltri, Keith

2012-01-01

Objectives. To describe the development, implementation, and assessment of an advanced elective course on infectious diseases using active-learning strategies. Design. Pedagogy for active learning was incorporated by means of mini-lecture, journal club, and debate with follow-up discussion. Forty-eight students were enrolled in this 4-week elective course, in which 30% of course time was allocated for active-learning exercises. All activities were fundamentally designed as a stepwise approach in complementing each active-learning exercise. Assessment. Achievement of the course learning objectives was assessed using a 5-point Likert scale survey instrument. Students’ awareness of the significance of antimicrobial resistance was improved (p ≤ 0.05). Students’ ability to critically evaluate the infectious-disease literature and its application in informed clinical judgments was also enhanced through these active-learning exercises (p ≤ 0.05). Students agreed that active learning should be part of the pharmacy curriculum and that active-learning exercises improved their critical-thinking, literature-evaluation, and self-learning skills. Conclusion. An elective course using active-learning strategies allowed students to combine information gained from the evaluation of infectious-disease literature, critical thinking, and informed clinical judgment. This blended approach ultimately resulted in an increased knowledge and awareness of infectious diseases. PMID:22761528

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…

The Mathematics of "Star Trek"--An Honors Colloquium

ERIC Educational Resources Information Center

Karls, Michael A.

2011-01-01

After the success of a course on cryptography for a general audience, based on Simon Singh's "The Code Book" [49], I decided to try again and create a mathematics course for a general audience based on "The Physics of Star Trek" by Lawrence Krauss [32]. This article looks at the challenges of designing a physics-based mathematics course "from…

Soil Water: Advanced Crop and Soil Science. A Course of Study.

ERIC Educational Resources Information Center

Miller, Larry E.

The course of study represents the fourth of six modules in advanced crop and soil science and introduces the agriculture student to the topic of soil water. Upon completing the three day module, the student will be able to classify water as to its presence in the soil, outline the hydrological cycle, list the ways water is lost from the soil,…

Soil Erosion: Advanced Crop and Soil Science. A Course of Study.

ERIC Educational Resources Information Center

Miller, Larry E.

The course of study represents the last of six modules in advanced crop and soil science and introduces the agriculture student to the topic of soil erosion. Upon completion of the two day lesson, the student will be able to: (1) define conservation, (2) understand how erosion takes place, and (3) list ways of controlling wind and water erosion.…

Learning Mathematics in High School Courses beyond Mathematics: Combating the Need for Post-Secondary Remediation in Mathematics

ERIC Educational Resources Information Center

Young, R. Brent; Hodge, Angie; Edwards, M. Craig; Leising, James G.

2012-01-01

The purpose of this study was to empirically test the posit that students who participated in a contextualized, mathematics-enhanced high school agricultural power and technology (APT) curriculum and aligned instructional approach would develop a deeper and more sustained understanding of selected mathematics concepts than those students who…

Mathematical Investigations for Supporting Pre-Service Primary Teachers Repeating a Mathematics Education Course

ERIC Educational Resources Information Center

Bailey, Judy

2014-01-01

Preparing to become an effective primary school mathematics teacher is a challenging and complex task; and is influenced by one's past experiences, personal knowledge of, and beliefs and attitudes towards mathematics. This paper examines the experiences of a small group of pre-service teachers who did not pass their first year mathematics…

Collaborative Workshops and Student Academic Performance in Introductory College Mathematics Courses: A Study of a Treisman Model Math Excel Program.

ERIC Educational Resources Information Center

Duncan, Hollis; Dick, Thomas

2000-01-01

Describes the Treisman model which involves supplemental workshops in which college students solve problems in collaborative learning groups. Reports on the effectiveness of Math Excel, an implementation of the Treisman model for introductory mathematics courses at Oregon State University over five academic terms. Reveals a significant effect on…

The WWW, Preservice Teachers and Their Mathematics Courses.

ERIC Educational Resources Information Center

Halpin, Pat; Kossegi, Joanne D.

The use of modern technologies has become common in mathematics education and is considered necessary for good mathematics instruction. To effectively integrate technology into the curriculum, teachers must learn new behaviors and practices and discover that the changes result in positive student outcomes. The inherent difficulties involved with…

Advancing Sexuality Studies: A Short Course on Sexuality Theory and Research Methodologies

ERIC Educational Resources Information Center

Fletcher, Gillian; Dowsett, Gary W.; Duncan, Duane; Slavin, Sean; Corboz, Julienne

2013-01-01

Critical Sexuality Studies is an emerging field of academic enquiry linked to an international network of advocacy agencies, activists, and political issues. This paper reports on the development of an advanced short course in sexuality theory and research, drawing on Critical Sexuality Studies and aiming directly at academics in developing…

Micro Computer Technician Course. Course Design, Course Curricula, Learning Units, Resource Requirements. InfoTVE 14.

ERIC Educational Resources Information Center

Royal Melbourne Inst. of Tech. (Australia).

This guide to the core curricula for the training of microcomputer technicians is designed for school leavers after 10 or more years of general/vocational education with a science and mathematics background. The 2-year course is to be administered in four semesters. An introductory outline of course design and curricula provides the rationale,…

Allied Health Applications Integrated into Developmental Mathematics Using Problem Based Learning

ERIC Educational Resources Information Center

Shore, Mark; Shore, JoAnna; Boggs, Stacey

2004-01-01

For this FIPSE funded project, mathematics faculty attended allied health classes and allied health faculty attended developmental mathematics courses to incorporate health examples into the developmental mathematics curriculum. Through the course of this grant a 450-page developmental mathematics book was written with many problems from a variety…

Using student feedback to improve student attitudes and mathematical confidence in a first year interdisciplinary quantitative course: from the ashes of disaster!

NASA Astrophysics Data System (ADS)

Everingham, Yvette; Gyuris, Emma; Sexton, Justin

2013-09-01

Today's scientist is faced with complex problems that require interdisciplinary solutions. Consequently, tertiary science educators have had to develop and deliver interdisciplinary science courses to equip students with the skills required to solve the evolving real-world challenges of today and tomorrow. There are few reported studies of the lessons learned from designing and delivering first year compulsory interdisciplinary science subjects at regional universities. Even fewer studies assess the impact that teaching interventions within interdisciplinary courses have on students' attitudes towards mathematics and technology, and mathematics anxiety. This paper discusses the feedback received from the first student cohort of a new compulsory, first year interdisciplinary science subject at a regional Australian university which resulted in curricular revisions. These revisions included a greater emphasis on the subject relevance and increased student support in tutorials. Assessment practices were also dramatically modified. The change in student attitudes and anxiety levels a priori and a posteriori to the interventions was measured quantitatively and qualitatively. Post-intervention, female and non-mathematics major students had grown in mathematical confidence and were less anxious. It is important that positive and negative research findings are reported, so science educators can learn from one another, and can better prepare their students for the challenges they will face in bringing interdisciplinary solutions to contemporary real-world problems.

ICT-Aided Engineering Courses: A Multi-Campus Course Management

ERIC Educational Resources Information Center