Science and Mathematics Education Commons^™

Geometric Transformations In Middle School Mathematics Textbooks, Barbara Zorin

USF Tampa Graduate Theses and Dissertations

This study analyzed treatment of geometric transformations in presently available middle grades (6, 7, 8) student mathematics textbooks. Fourteen textbooks from four widely used textbook series were evaluated: two mainline publisher series, Pearson (Prentice Hall) and Glencoe (Math Connects); one National Science Foundation (NSF) funded curriculum project textbook series, Connected Mathematics 2; and one non-NSF funded curriculum project, the University of Chicago School Mathematics Project (UCSMP).

A framework was developed to distinguish the characteristics in the treatment of geometric transformations and to determine the potential opportunity to learn transformation concepts as measured by textbook physical characteristics, lesson narratives, and analysis …

Opportunity To Learn (Otl) And The Alignment Of Upper Division Mathematics Learning Outcomes, Textbooks, And The National Assessment In Belize, Gabriel Cal

USF Tampa Graduate Theses and Dissertations

In this study I investigate the degree of alignment among the learning outcomes, textbooks, and the national assessment in Belize. To establish the degree of alignment, Webb‘s Four Cognitive Levels of Depth of Knowledge was used to analyze the levels of cognitive demand for each curriculum. The degree of alignment of the learning outcomes with the test items and textbooks was used to determine the extent to which the textbooks provide students with the opportunity to study the learning outcomes assessed by the national assessment. The opportunity to learn (OTL) measures addressed were the curricular content coverage and types of …

Exploring Literacy Across The Curriculum: Writing In The Mathematics Classroom, Sarah E. Heddinger

Honors Program Theses

The purpose of my Honors thesis is to find evidence that writing in mathematics benefits both students and teachers. To research this claim, I viewed how writing takes place in mathematics within a specific elementary classroom. I hoped to view mathematics lessons in which literacy, specifically writing, was involved as an integral part of every lesson.

Maggie And Her Students: Talking And Reasoning In A Reform-Based Mathematics Classroom, Debra Louise Semm Rich

Dissertations and Theses @ UNI

In this qualitative case study, I explored how Maggie, the teacher, and her students used language to advance students' conceptual understanding of mathematics in a reform-based mathematics classroom. Specifically I sought to describe how Maggie's reform-based mathematics classroom environment impacted the quantity and quality of mathematical language spoken by her students. Maggie's eighth-grade mathematics classroom was observed during a course of study on data and statistics. Three semi-structured interviews with Maggie, artifacts provided by her, and fourteen 52-minute classroom lessons, supported with field notes, were analyzed.

Environmental themes were revealed as they related to Maggie, her beliefs, goals, knowledge, and …

O Debate Ciências Versus Humanidades No Século Xix: Reflexões Sobre O Ensino De Ciências No Collegio De Pedro Ii [The Science Vs. Humanities Debate In The Xix Century: Reflections On The Teaching Of The Sciences In The College Pedro Ii], Karl M. Lorenz, Ariclê Vechia

Education Faculty Publications

No abstract provided.

Using Novels In The Science Classroom, Hannah Llewellyn Haarhues

Dissertations and Theses @ UNI

Reading is a key factor in the success of students through their school years as well as their lives. With Americans reading less and falling behind in subjects as they progress through the school system, reading is the subject area that benefits all aspects of their schooling. Studies done from the 1990s on have shown successful reading programs improve standardized test scores of school age students. Trade books in place of textbooks had been explored, but only in middle school or younger. This study uses a survey to explore high school biology students' opinions on reading and science before and …

Barriers That Iowa High School Biology Teachers Face When Teaching Evolution In The Classroom, Joshua Michael Hanna

Dissertations and Theses @ UNI

After decades of court cases, decided in favor of evolution being taught, legal decisions where the incorporation of teaching creationist ideas have been found unconstitutional, and recent strategies and attempts that would have teachers give "equal time" to creation-science ideas; there remains a disparity among Iowa's high school biology teachers when teaching evolutionary concepts in the classroom. Taking a look at what is being taught about evolution in Iowa classrooms, this study takes an in-depth look at what Iowa's biology teachers are teaching when educating their students about evolution, where emphasis is being placed and who is putting the most …

Two-Language, Two-Paradigm Introductory Computing Curriculum Model And Its Implementation, Vladimir Zanev, Atanas Radenski

Mathematics, Physics, and Computer Science Faculty Articles and Research

This paper analyzes difficulties with the introduction of object-oriented concepts in introductory computing education and then proposes a two-language, two-paradigm curriculum model that alleviates such difficulties. Our two-language, two-paradigm curriculum model begins with teaching imperative programming using Python programming language, continues with teaching object-oriented computing using Java, and concludes with teaching object-oriented data structures with Java.

Spreadsheets Across The Curriculum, 3: Finding A List Of Mathematical Skills For Quantitative Literacy Empirically, H L. Vacher, Emily Lardner

Numeracy

What mathematical topics do educators committed to teaching mathematics in context choose for their students when given the opportunity to develop an educational resource explicitly to teach mathematics in context? This paper examines the choices made for the 55 modules by 40 authors in the General Collection of the Spreadsheets Across the Curriculum (SSAC) library. About half of the modules were made by authors from natural science, and about 60% of the other modules were by authors from mathematics. The modules are tagged with terms of a search vocabulary developed for the browse page of the collection. The four terms …

Determining Students' Working Conceptions Of Evolution Through Formative Assessment Probes, Danielle J. Burras

Dissertations and Theses @ UNI

Students entering a science classroom bring with them many ideas about science content and the nature of science. Some of those ideas are not congruent with current scientific explanations and can be called working conceptions. Working conceptions have the ability to impact how students respond to new information and whether or not they integrate it into their lives outside of the classroom. Identifying what working conceptions students have prior to instruction allows educators to determine how instruction should be formatted and what concepts may need extra focus. The purpose of this investigation was to determine the effectiveness of formative assessment …

Personal And Professional Numeracy: A Unit For Pre-Service Teachers At The University Of Tasmania, Jane M. Watson

Numeracy

This paper addresses issues associated with the development of a unit preparing pre-service teachers to be quantitatively literate in three respects. These issues surround (i) the need to be aware of numeracy demands across the curriculum, (ii) the need to model numerate behavior in all interactions of teachers, and (iii) the need to be able to interpret and use system data provided from local and national testing programs. The context for the unit described is Australia, where a national testing program for literacy and numeracy requires teachers to analyze extensive data on their students, a national curriculum requires teachers of …

Go Figure: Calculus Students' Use Of Figures And Graphs In Technical Report Writing, Thomas J. Pfaff, Michael Rogers, Ali Erkan, Jason G. Hamilton

Numeracy

Understanding how to read and use graphs to communicate scientific and mathematical information is critical for STEM majors, as well as an important part of quantitative literacy. Our study suggests that first-semester calculus students do not know how to use graphs in a technical report without explicit instruction. Although not a surprising result, it leaves us wondering about when such skills are developed, and if calculus I is a place to start. Our work is now exploring the potential benefit on students' use of graphs by having them formally evaluate other students' reports.

Review Of Sex, Drugs And Body Counts: The Politics Of Numbers In Global Crime And Conflict, Edited By Peter Andreas And Kelly M. Greenhill, Aaron G. Montgomery

Numeracy

Andreas, Peter, and Greenhill, Kelly M. (Eds.). Sex, Drugs, and Body Counts: The Politics of Numbers in Global Crime and Conflict, (Ithaca, NY: Cornell University Press, 2010). 287 pp. ISBN 978-0-8014-4861-4 (cloth); ISBN 978-0-8014-7618-1 (pbk).

The ten scholarly papers in Sex, Drugs and Body Counts explore the generation and propagation of numbers that drive policy decisions in the U.S. government regarding human trafficking, drug trade, and armed conflict (including the war on terror). Each of these papers, written by different authors, provides an illuminating insight into how some of the numbers we hear or read in the news are derived. …

How “Struggling” Readers Engage In Literacy Events In Middle School Science: An Analysis Of Interactions In Literacy Events, Kristin Cartwright Palmer

Teaching & Learning Theses & Dissertations

This study examined opportunities for participation and learning for "struggling" readers in a sixth grade science classroom. Literacy practices, language differences, activity structures, and the social and cultural identities and associated practices and everyday funds of knowledge of both "struggling" and nonstruggling readers in one sixth grade science classroom were documented and analyzed using a qualitative research design. Over sixteen hours of audio and video recordings as well as numerous student work samples were transcribed and analyzed. Analyses of the classroom interactions and artifacts documented in this study revealed several important affordances available in the context of this classroom related …

Metaphors, Metonymies, Modes And Linear Algebra, Persis Samanta Beaven

Open Access Theses & Dissertations

The analysis focused on the presence of different thinking modes, metonymies, and metaphors found on the interview responses to questions related to linear independence, span, and spanning sets of four students taking their first linear algebra course at the college level. The findings provide insight of how first year linear algebra students move from one thinking mode to another and what kind of metonymies and metaphors are used to construct new knowledge. The main purpose of this research was to document and determine the main characteristics that categorize the four students' reasoning.

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 …

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 …

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

College of Education 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 …

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

Department of Mathematics: Dissertations, Theses, and Student Research

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 …

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

College of Education and Human Sciences: Dissertations, Theses, and Student Research

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 …

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.

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 (Full IR Collection)

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 …

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.

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

Faculty Articles

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 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) …

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 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 …

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

Fred and Harriet Cox Senior Design Competition Projects

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 …