Education Commons^™

Creation, Coordination, And Activation Of Resources In Physics And Mathematics Learning, Michael J. Wittmann, John R. Thompson, John Donovan

University of Maine Office of Research Administration: Grant Reports

This project seeks to study introductory college level courses in physics, mechanics, and mathematics. The research questions involve the processes by which students become able to use resources across contexts (such as between mathematics and physics), how ideas in math and physics form a resource network, and what mechanisms trigger individual resources or coordinated networks.

The researcher will conduct clinical interviews, small group interviews, and statistical analysis of survey questions as well as videos from classroom and help sessions. The data being collected would be analyzed for purpose of describing the development of students as they refine skills in mathematics …

Foundations And Frontiers Of Physics Education Research 2009, Michael J. Wittmann, Paula Heron, Rachel Scherr

University of Maine Office of Research Administration: Grant Reports

This project is a conference on the "Foundations and Frontiers of Physics Education Research," in which established and up-and-coming researchers attend a residential conference to further the work of the field. There are 60 participants, including senior graduate students, research scientists, junior, and tenured faculty. The conference consists of a series of plenary talks by leaders in the community; working groups of participants to address common problems in the field and present recommendations for future work; and targeted sessions in which research topics are explored in detail by participants. Ample free time is also included, allowing for informal discussions and …

An Exploration Into How Physical Activity Data-Recording Devices Could Be Used In Computer-Supported Data Investigations, Victor R. Lee, Maneksha Dumont

Instructional Technology and Learning Sciences Faculty Publications

There is a great potential opportunity to use portable physical activity monitoring devices as data collection tools for educational purposes. Using one such device, we designed and implemented a weeklong workshop with high school students to test the utility of such technology. During that intervention, students performed data investigations of physical activity that culminated in the design and implementation of their own studies. In this paper, we explore some of the mathematical thinking that took place through a series of vignettes of a pair of students engaged in analyzing some of their own activity data. A personal connection to the …

A Case Study Of The Mathematical Learning Of Two Teachers Acquiring Mathematical Knowledge For Teaching, David R. Hartman

Public Access Theses, Dissertations, and Student Research from the College of Education and Human Sciences

This study offers an analysis of the learning of practicing teachers as they acquire a deeper knowledge of mathematics. While some professional developers have shifted part of their focus to helping practicing teachers acquire a deeper knowledge of mathematics (e.g., Stein & Silver, 1996), the results from studies often describe what translates from the professional development experience into classroom practice and measureable gains in student achievement (e.g., Desimone et al., 2002). Studies showing improvements in pedagogy and student learning are important. However, studying what teachers are learning and how they learn is important in developing understanding of the content and …

College Of Engineering Senior Design Competition Fall 2010, University Of Nevada, Las Vegas

Senior Projects (COE)

Part of every UNLV engineering student’s academic experience, the senior design project stimulates engineering innovation and entrepreneurship. Each student in their senior year chooses, plans, designs, and prototypes a product in this required element of the curriculum. A capstone to the student’s educational career, the senior design project encourages the student to use everything learned in the engineering program to create a practical, real world solution to an engineering challenge.

The senior design competition helps to focus the senior students in increasing the quality and potential for commercial application for their design projects. Judges from local industry evaluate the projects …

The Relationship Among Mathematics Anxiety, Mathematical Self-Efficacy, Mathematical Teaching Self-Efficacy, And The Instructional Practices Of Elementary School Teachers, Lydia Joan Smith

Dissertations

The purpose of this quantitative, correlational study was to explore the relationships among the variables of mathematics anxiety, mathematical self-efficacy, mathematical teaching self-efficacy, and the instructional practice of elementary school teachers. The study included 320 practicing elementary teachers who teach mathematics to students in kindergarten through eighth grade. These teachers completed the Abbreviated Mathematics Anxiety Scale, the Mathematics Teaching and Mathematics Self-Efficacy survey, and the Patterns of Adaptive Learning Survey. Quantitative data analysis methods included descriptive statistics and multiple regression analysis. Results indicated a statistically significant relationship between mathematical teaching self-efficacy (efficacy) and mastery approaches to instruction, as well as …

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, Amy Renée Bishop

Dissertations

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 relationship between attitudes and achievement. The sample consisted of 112 students, and the study was conducted during the Spring 2010 semester at a community college in south Mississippi. The participants were enrolled in one of six classes taught by the researcher. The control group consisted of three classes (one Intermediate and two College Algebra sections) …

Assessment Of College Students' Understanding Of The Equals Relation: Development And Validation Of An Instrument, Gregory D. Wheeler

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Research indicates that many elementary students do not comprehend that the equal sign is an indication that an equality relation exists between two structures. Instead, they perceive the equal sign as an indication that a particular procedure is to be performed. As students mature, and as their exposure to the equal sign and equality relations in multiple contexts increases, most obtain the ability to interpret the equal sign as an indicator of an equivalence relation. Incorrect usages of the equal sign, however, by post-algebra students indicate a tendency for students to regress back to a comprehension of the equal sign …

An Application Of Vygotsky’S Social Learning Theory On Calculator Self-Efficacy And Calculator Achievement By Gender, Debbie M. Kohler

Dissertations, Theses and Capstone Projects

The purpose of this study is to determine what relationships or differences exist between males and females in calculator self-efficacy and calculator achievement, and if social learning groups better support females in calculator achievement and efficacy. To accomplish this purpose, this quasi-experimental study examined pre-test and post-tests using a teacher developed Calculator Self-Efficacy Instrument and a Calculator Achievement Test. The study involved three treatment classes that were arranged into social learning groups according to Vygotsky’s social learning theory and one control class that was arranged in traditional rows. Four major findings emerged. Males scored significantly higher than females on the …

Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine A. Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling

Faculty and Research Publications

In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other types of knowledge. The authors share results of individual research projects and teaching approaches focusing on helping preservice elementary teachers develop such knowledge. Specific examples from different content areas (whole number, fractions, angle, and area) are discussed.

Effects Of Single-Sex Classrooms Versus Coeducational Classrooms On Math And Literacy Achievement, Constance Matchell

Dissertations

This research project was designed to add to the limited available research concerning the effectiveness of single-sex education within a public elementary school setting. Following the first year of implementation of a single-sex classroom pilot program, the effects by gender of classroom grouping (single-sex education versus coeducation) on reading and math achievement were investigated for three consecutive grade levels from second grade through fourth grade.

This research project was designed to add to the limited available research concerning the effectiveness of single-sex education within a public elementary school setting. Following the first year of implementation of a single-sex classroom pilot …

Verbal Cues: Producing The Same Results In Stereotype Threat Research?, Tarryn E. Mcghie

UNLV Theses, Dissertations, Professional Papers, and Capstones

This study examined the notion that stereotype threat experiments can be influenced through linguistic manipulation. The cueing of a phrase (whether stereotypical or non-stereotypical) can produce performance differences between groups, rather than cueing of a stereotype, as used in previous research. Participants (n=95) mostly Caucasian females (68%) ranging in age from 18-45 (M=22.7). The design involved three groups and participants were randomly assigned in order to control for consequential affects. The control group received no verbal cues. The stereotypical group received a stereotypical cue (i.e. men tend to do better on this test than women). The counter-stereotypical group received a …

Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling

Mathematics and Statistics Faculty Publications and Presentations

In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other types of knowledge. The authors share results of individual research projects and teaching approaches focusing on helping preservice elementary teachers develop such knowledge. Specific examples from different content areas (whole number, fractions, angle, and area) are discussed.

The Impact Of Content Courses On Pre-Service Elementary Teachers’ Mathematical Content Knowledge, Michael Matthews, Janice Rech, Neal Grandgenett

Teacher Education Faculty Publications

In response to research documenting the mathematical deficiencies of pre-service elementary teachers, many teacher preparation programs are requiring mathematical content courses specifically focusing on the mathematics taught at the elementary level. This study considers what impact two such courses (one course focusing on Arithmetic, and the other course focusing on Geometry and Measurement) had on the mathematical content knowledge and attitude towards mathematics by comparing a group of pre-service elementary teachers who took these courses to a group of pre-service elementary teachers who took only a more general mathematics course (such as College Algebra). Results indicated that those teachers who …

The Effects Of A Course On Statistical Literacy Upon Students' Challenges To Statistical Claims Made In The Media, Rose Martinez-Dawson

All Dissertations

Statistical literacy involves critically evaluating and questioning statistics encountered in everyday life. The purpose of this study was to evaluate students' questions (challenges) concerning statistics encountered in everyday life and how these challenges differed before and after taking an undergraduate statistics course, entitled Statistics in Everyday Life 200 (SIEL), which focused on statistical literacy. One hundred forty-four students were given three media articles to indicate questions they had concerning statistics cited in the articles and explain why these questions were important to ask. Students' responses were categorized based on the topic and were assessed using the Statistics Literacy Components Rubric …

Pisa In Brief : Highlights From The Full Australian Report : Challenges For Australian Education : Results From Pisa 2009 : The Pisa 2009 Assessment Of Students' Reading, Mathematical And Scientific Literacy, Sue Thomson, Lisa De Bortoli, Marina Nicholas, Kylie Hillman, Sarah Buckley

OECD Programme for International Student Assessment (PISA) Australia

PISA in Brief summarises the results from the Programme for International Student Assessment (PISA) 2009 assessment of students’ reading, mathematical and scientific literacy skills. It tells us about how students performed in the assessment and describes some wider findings about what lies behind their results. PISA 2009 assessed students’ capacities to apply knowledge and skills in reading, mathematical and scientific literacy. More assessment time was given to reading literacy, as this was the main focus for this cycle.

The Cohomology Of Modules Over A Complete Intersection Ring, Jesse Burke

Dissertations, Theses, and Student Research Papers in Mathematics

We investigate the cohomology of modules over commutative complete intersection rings. The first main result is that if M is an arbitrary module over a complete intersection ring R, and if one even self-extension module of M vanishes then M has finite projective dimension. The second main result gives a new proof of the fact that the support variety of a Cohen-Macaulay module whose completion is indecomposable is projectively connected.

Teachers’ Knowledge About The Nature Of Mathematics: A Survey Of Secondary School Teachers In Karachi, Pakistan, Munira Amirali, Anjum Halai

Institute for Educational Development, Karachi

This study presents the findings from a study which explored patterns in teachers’ knowledge about the nature of mathematics. A survey questionnaire was developed and distributed to 200 secondary school mathematics teachers teaching in public and private schools in Karachi, Pakistan. Exploratory factor analysis was performed which showed patterns in teachers’ view about the nature of mathematics. The analysis illustrates that teachers hold contradicting views about the nature of mathematics i.e. mathematics, both as discovered as well as invented body of knowledge. Moreover, teachers irrespective of their professional qualification, considered mathematical knowledge as ‘truth’, where mathematical rules can never be …

Education Of Mathematically Talented Students In Hungary, Julianna Connelly Stockton

Mathematics Faculty Publications

Hungary is famous for its production of large numbers of highly talented mathematicians and physicists. This study explores the Hungarian system for educating mathematically talented secondary school students with the goal of identifying successful features that may be applicable to education in the United States. Highlights of the Hungarian approach include an emphasis on problem solving, problem posing, detailed explanation or proof for solutions, and development of mathematical creativity through the search for multiple solution paths.

The Impact Of Secondary Mathematics Methods Courses On Preservice Secondary Teachers’ Beliefs About The Learning And Teaching Of Mathematics, Ronald Gene Smith Ii

Doctoral Dissertations

The Comprehensive Framework for Teacher Knowledge provides a model that describes an approach to the secondary mathematics methods course, as described by Robert Ronau and P. Mark Taylor. The model includes the orientation of preservice teachers toward mathematics and the teaching of mathematics, which includes the beliefs of the preservice teachers. The first questions deal with identifying the methods used in the methods course to address beliefs. The second set of questions deal with the effects of the methods course on the beliefs that preservice teachers hold on the learning and teaching of mathematics.

The study included 16 different universities …

Professionalism: What Is It And Are We Teaching For It?, Brian K Tate

Doctoral Dissertations

With rising accountability standards and the need for content specialists within education, the qualifications of mathematics teachers have become increasingly scrutinized. For over three decades, within the parameters of educational reform, the need for the professionalization of teaching has reoccurred (Carnegie Task Force, 1986). When examining the nature of teacher professionalism, no concise definition within the educational community exists (Noddings, 1992). The purpose of this study was to take characteristics defined by the medical and law fields and use them to develop a definition of professionalism within mathematics education. Once a clear set of characteristics was identified, the study then …

The Inquiry Learning Model As An Approach To Mathematics Instruction, Michael C. Brune

Boise State University Theses and Dissertations

Since current approaches to mathematical instruction fall short of the goals of NCTM (National Council of Teachers of Mathematics) research was conducted in a small rural school district in the northwest United States evaluating inquiry based instruction. To complete the study two high school geometry classes were taught area formulation using a traditional lecture based approach to instruction. A third geometry class was taught area formulation utilizing inquiry-based instructional methods. Students in both groups took both a pre-test and post-test, filled out a questionnaire, and participated in a project designed to test their applications of mathematical understanding. Results indicated that …

Education In The Environment: A Strategy For Continued Interagency Outdoor Education Programming: Quarterly Progress Report: Period Ending November 30, 2010, Margaret N. Rees

Reports (PLI Education)

Highlights of the university’s focused efforts during the past three months include the following:

• Two Families in Nature events were held, benefitting approximately 100 people.
• The Nevada Children’s Outdoor Bill of Rights was officially launched on October 9, 2010.
• A total of 18 people are finishing capstone projects and homework to complete requirements for the Nevada State Certification in Environmental Education and Interpretation.
• Forever Earth was scheduled for 35 days serving 965 people.
• Discover Mojave Outdoor World events were conducted for 253 people.

Education In The Environment: A Strategy For Continued Interagency Outdoor Education Programming: Quarterly Progress Report: Period Ending November 30, 2010, Margaret N. Rees

Reports (PLI Education)

Highlights of the university’s focused efforts during the past three months include the following:

• Two Families in Nature events were held, benefitting approximately 100 people.
• The Nevada Children’s Outdoor Bill of Rights was officially launched on October 9, 2010.
• A total of 18 people are finishing capstone projects and homework to complete requirements for the Nevada State Certification in Environmental Education and Interpretation.
• Forever Earth was scheduled for 35 days serving 965 people.
• Discover Mojave Outdoor World events were conducted for 253 people.

Ists, November 2010, Iowa Academy Of Science

ISTS Newsletter

In this issue:

--Notes and News

--Opportunities

Teaching Research: Encouraging Discoveries, Francis E. Su

All HMC Faculty Publications and Research

What does it take to turn a learner into a discoverer? Or to turn a teacher into a co-adventurer? A handful of experiences—from teaching a middle-school math class to doing research with undergraduates—have changed the way that I would answer these questions. Some of the lessons I’ve learned have surprised me.

Multiple Visions Of Teachers' Understandings Of Mathematics, Ann Kajander, Ralph Mason, Peter Taylor, Edward Doolittle, Tom Boland, Dan Jarvis, Wes Maciejewski

Faculty Research, Scholarly, and Creative Activity

In this dialog, the notion of mathematical understanding as might be needed by classroom teachers is critically examined by mathematics educators, mathematicians, and a classroom teacher, based on the outcomes of recent work with expert classroom teachers. Terminology, assumptions and examples are discussed and analysed from a number of points of view. Ultimately, the goal is to construct common ground from which appropriate mathematics courses for future teachers might be developed and taught. The need for common terminology and a unifying framework from which to work becomes apparent as multiple interpretations and visions are discussed.

An Attempt To Get And Keep Women Involved In Physics, Jim Crumley, Kristen Nairn, Lynn Ziegler

MapCores Faculty Publications

In this talk I will briefly review some of the obstacles to the full participation of women in the STEM disciplines. In order to increase the number of women in physics, computer science, and mathematics we have started a cohort-based program with curricular and scholarship components for women in these majors. I will present the results of our program so far and offer some advice based on our experiences.

Bridging The Gap Between The Industrial Environment And The Classroom Via Project-Based Learning, Michael W. Martin

Presentation

Recent engineering education research has concluded that most engineering curricula do not promote attainment of many characteristics desired in practicing engineers. Methods to attain these characteristics include both project-based learning (PBL) and simulation of workplace situations in the educational environment. The presenter will outline the use of both PBL and workplace simulation through the implementation of a semester-long project in a senior-level Data Acquisition course taught out of the Department of Engineering Technology at Northern Michigan University. A typical undergraduate experimental analysis or data acquisition course will review topics including; sensoring, hardware requirements, testing techniques, computer integration, software use, and …

Bridging The Gap Between The Industrial Environment And The Classroom Via Project-Based Learning, Michael W. Martin

Michael W Martin

Recent engineering education research has concluded that most engineering curricula do not promote attainment of many characteristics desired in practicing engineers. Methods to attain these characteristics include both project-based learning (PBL) and simulation of workplace situations in the educational environment. The presenter will outline the use of both PBL and workplace simulation through the implementation of a semester-long project in a senior-level Data Acquisition course taught out of the Department of Engineering Technology at Northern Michigan University. A typical undergraduate experimental analysis or data acquisition course will review topics including; sensoring, hardware requirements, testing techniques, computer integration, software use, and …