Education Commons^™

College Algebra In Context: A Project Incorporating Social Issues, Michael T. Catalano

Numeracy

This paper discusses the development of an innovative college algebra text designed for use in a data-driven, activity-oriented college algebra course, incorporating realistic problem situations emphasizing social and economic issues, including hunger and poverty, energy, and the environment. The course incorporates quantitative literacy themes, is informed by existing college algebra texts within the college algebra reform movement, and implements a collaborative pedagogical approach intended to provide future K-12 teachers an alternative model for the teaching of mathematics. The paper contains a short history of the project development phase, supported by an NSF grant (DUE #0442979), as well as the perceived …

An Activity Promoting The Practice Of Quantitative Literacy For Pre– And In–Service Teachers Of Mathematics And Science, Timothy L. Sorey, Teri Willard, Duane Sholz

Numeracy

The purpose of this article is to describe a hands-on, laboratory activity that provided pre-service teachers in mathematics and science methods courses, and also some in-service mathematics teachers, with the opportunity to exercise quantitative literacy (QL) skills. The focus of the activity is electrical resistance, more particularly the resistance (in ohms) that is painted on small resistors by the use of color-coded bands, one of which is a band for % error. The activity consists of four parts. In the first, student teams familiarize themselves with the code, measure the ohmage of resistors for which the codes are visible, and …

Counting Girls In - Gender Issues In Science And Mathematics: An Examination Of The Research Concerning Innate And Socio-Cultural Gender Differences In The Fields Of Science And Mathematics In An Effort To Promote More Female Participation, Valerie R. Mackin

Pell Scholars and Senior Theses

In today's world, there is an increasing demand for people in the technological fields. Fewer females than males pursue careers in physical sciences, engineering, and computer science in the United States presenting a loss of needed mathematicians and scientists. Gender differences related to mathematics and science is a complex arena of study, involving both innate biological differences combined with socially constructed ideas about gender in society. Through an in-depth investigation from educational, cognitive, and social psychology perspectives one will be able to determine how innate and socio-cultural factors contribute to the shortage of needed mathematicians and scientists in the United …

Exploring Some Inattended Affective Factors In Performing Nonroutine Mathematical Tasks, John Douglas Butler

Master's Theses, Dissertations, Graduate Research and Major Papers Overview

Describes students' attempts to solve nonroutine math problems and explores possible correlates of their performance, focusing on inattended (i.e., intentionally avoided) dimensions underrepresented in the literature, including attitudes, interests, values, aesthetics, metacognition, and representation. Analyzes objective and subjective data gathered from a sample of 9th-grade students at a high school in Rhode Island. Finds strong evidence of students' math-aesthetics in problem solving.

Learning Effects Of Examples Applied To College Algebra Student Interests, Carrie A. Campbell

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

This mixed-methods investigation studied the learning effects of example problems based on college algebra student interests. The study spanned two semesters and included three groups of students. The first group was presented with algebraic procedural examples and assessments without context. The second group was presented with algebraic class examples in contexts related to student majors and hobbies, but assessments without context. The third group was presented with class examples in contexts related to student majors and hobbies and also assessments with context.

Learning growth as measured by performance scores on examinations was analyzed quantitatively. Student comments regarding learning progress were …

Grounded Technology Integration In Mathematics, Neal Grandgenett, Judi Harris, Mark Hofer

Teacher Education Faculty Publications

Teachers today can choose from a variety of technologies for teaching mathematics. Drill-and-practice software, virtual manipulatives, real-life data sets, interactive geometry programs, graphing calculators, robots, and computer-based laboratories are just a few of the options available. But it can be difficult for mathematics teachers to know just which technologies to choose to support student learning in particular lessons.

One way to help teachers integrate technologies effectively is to match technology integration strategies to how teachers plan, rather than asking teachers to plan instruction that exploits the opportunities offered by particular educational technologies. For more information, see our previous article ( …

The New York City Teaching Fellows Program: A Case Study In Alternative Certification In Mathematics, Brian Evans

NERA Conference Proceedings 2009

The purpose of this study is to understand the mathematical content knowledge new teachers have before and after taking a mathematics methods course in the New York City Teaching Fellows program. Further, the purpose is to understand attitudes toward mathematics Teaching Fellows have over the course of the semester. Findings revealed a significant increase in mathematical content knowledge and positive attitudes toward mathematics. Relationships were found between attitudes and self-efficacy. Finally, Teaching Fellows found that classroom management was the biggest issue in their teaching, and that problem solving and numeracy were the most important topics addressed in the methods course.

Special Educators And Mathematics Phobia: An Initial Qualitative Investigation, Michael Humphrey, Jack J. Hourcade

Early and Special Education Faculty Publications and Presentations

Special educators are uniquely challenged to be content experts in all curricular areas, including mathematics, since students in their case loads may require academic instruction in any area. However, special educators with math phobia may be limited in their ability to provide effective instruction to their students with mathematical deficits and/or needs, and may experience additional challenges in their professional and personal lives. This qualitative study sought to better understand the nature of math phobia in two special educators through extensive interviews, journaling, and observations in math experiences, with a number of primary themes identified. Several potential resolutions for the …

The Use Of Robotics, Gps And Gis Technologies To Encourage Stem-Oriented Learning In Youth, Viacheslav I. Adamchuk, Gwen Nugent, Bradley S. Barker, Neal Grandgenett

Teacher Education Faculty Proceedings & Presentations

In our technology rich world, the educational areas of science, technology, engineering, and mathematics (STEM) play an increasingly essential role in developing well-prepared specialists for the 21st century workplace. Unfortunately, interest in theses areas has been declining for a few decades. Various innovative educational initiatives in formal and informal learning environments have been undertaken nationally to attempt to encourage STEM-oriented learning. Funded by the National Science Foundation, the particular program described in this paper focuses on middle school youth in non-formal learning environments. The program integrates educational robotics, Global Positioning System (GPS) and geographic information system (GIS) technologies to provide …

The Language Of Mathematics: Virginia Standards Of Learning Mathematical Pictionary For Grades K-3., Amanda Rashelle Collins-Browning

Electronic Theses and Dissertations

My experience teaching in Virginia schools, pacing and aligning instruction to the Virginia Standards of Learning, caused me to recognize the need for a mathematics tool to simplify and transition K-3 mathematics vocabulary usage and instruction. The language of mathematics uses three linguistic tools: words, symbols, and diagrams. Within this thesis I developed an instructional tool, a "Mathematics Pictionary", to accommodate primary grades K-3 and transition mathematical language and vocabulary skills between the primary grades aligned to the instruction and guidelines of the Virginia Standards of Learning. The Pictionary may be used coherently with lesson plans, available from the Virginia …

An Exploratory Study Of Mathematics Engagement Of Secondary Students, Tracy Thomas Brown

Middle-Secondary Education and Instructional Technology Dissertations

An Exploratory Study of Mathematics Engagement of Secondary Students by Tracy Thomas Brown A large proportion of American students are not psychologically connected or engaged to what is occurring in their classes; in addition, they fail to take school seriously, have lost interest in school, and do not value or seek out success (Steinberg, Brown, & Dornbusch, 1996). In addition, the relationship in a mathematics classroom between schooling and engagement from the student’s perspective is not well known (Cothran & Ennis, 2000). The purpose of this study was to investigate engagement in order to describe students’ constructs of student engagement, …

An Autoethnography:A Mathematics Teacher's Journey Of Identity Construction And Change, Anthony B. Stinson

Middle-Secondary Education and Instructional Technology Dissertations

Despite some gains, improving secondary mathematics instruction remains an area of concern of the National Council of Teachers of Mathematics (NCTM). Recitation, also known as lecturing, prevails as the practice of choice of mathematics teachers in the United States. However, the report of the NCTM Research Advisory Committee 2000 indicates that the mathematical proficiency of students increases when the practice of choice includes more than recitation. Therefore, changes in instruction in the mathematics classroom should occur to improve student learning. The purpose of this dissertation is to provide a personalized account of one mathematics teacher’s use of reflective teaching as …

African American Men And College Mathematics: Gaining Access And Attaining Success, Christopher Charlie Jett

Middle-Secondary Education and Instructional Technology Dissertations

The research literature regarding African American male college students reports that they often experience difficulties with mathematics (Stage & Kloosterman, 1995; Treisman, 1992). It is also reported that many African American students enter college seeking to complete their degrees in mathematics and science, but few of these students successfully complete the core requirements (Hrabowski, Maton, & Greif, 1998; Treisman, 1992). In spite of these reported trends, there are some African American male students who, indeed, achieve in college mathematics. The purpose of this study was to analyze how being African American and male might play out in the college mathematics …

A Case Study Of Culturally Responsive Teaching In Middle School Mathematics, Rosanne Fulton

Electronic Theses and Dissertations

This dissertation is a case study of culturally responsive teaching in middle school mathematics. The study contributes to the emerging definition of learning experiences in mathematics that support all middle school students through the use of culturally responsive teaching strategies. These experiences are organized to actualize the balance between accommodating the individual student’s culture, needs and interests and supporting the attainment of appropriate mathematics learning goals.

The research site was chosen because of its diverse and changing student demographics, and because of the achievement and growth rates of these students. Data collected from classroom observations of three middle school mathematics …

Exploring Teacher Perceptions Of Influential Facilitators Of Elementary Mathematics Professional Development: A Mixed Methods Investigation, Sandra Linder

All Dissertations

This dissertation examines the role of the facilitator in elementary mathematics professional development. An exploratory sequential mixed methods design was utilized to answer the central research question: How do United States elementary school teachers perceive an influential facilitator of elementary mathematics professional development (EMPD)? Phase one of this study explored teacher perceptions through a phenomenological design, which informed the second phase of the study, the implementation of a survey instrument to elementary school mathematics teachers on a larger scale. This dissertation is divided into six chapters. Chapter One presents a rationale for examining the role of the facilitator in professional …

An Investigation Of The Support For Literacy Instruction In Elementary Mathematics Textbooks, Wendy Ann Williams

Theses and Dissertations

The purpose of this study was to investigate the kinds of support offered for integrating literacy strategies into mathematics instruction in elementary mathematics textbooks so that students are given opportunity to achieve the vision NCTM (2000) has for mathematical power for all. The research methodology for this was a qualitative content analysis using a priori codes. Two textbook series were chosen for this study. In each series examples of literacy integration ideas based on Trabasso's and Bouchard's (2002) effective comprehension strategies to teach comprehension were cited and analyzed. The results show that there is support for teachers to integrate literacy …

Effects Of After School Programs On Elementary School Students' Language Arts And Mathematics Achievement, Jennifer Lynn Presnell

Theses and Dissertations

This study evaluated after school program participation on student academic achievement as a way of helping schools meet Adequate Yearly Progress (AYP) standards set by the No Child Left Behind Act. After school programs were divided into academic after school programs and traditional after school programs. Student achievement was measured through Criterion Referenced Tests in Language Arts and Mathematics. This study took place in a small urban school district located in the Intermountain West. Students in after school programs were matched with students not participating in the programs on several background characteristics including socioeconomic status, English language proficiency status, school …

Diverging Perspectives: A School District's Response To And Instructional Support Application, Sarah Crose

Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research

Diverging Perspectives: A School District’s Response To An Instructional Support Application Sarah L. Crose, Ph.D. University of Nebraska, 2009 Advisor: David Fowler The purpose of this descriptive qualitative study is to better understand how teachers and district leaders respond when implementing a technology instructional support application. The study also explores the influences affecting that implementation process. Secondary mathematics teachers who had been presented with the option to implement a web-based instructional software were interviewed to understand their perception of the implementation process. District leaders were interviewed to understand district philosophies and policies influencing technology decision making within the district. Findings …

Concept Booklets: Examining The Performance Effects Of Journaling Of Mathematics Course Concepts, Todd Stephen Fogdall

Boise State University Theses and Dissertations

Journaling is an effective tool for writing about mathematics, but research is mixed about the extent to its effectiveness in writing to learn mathematics. This study examined the performance effects of concept booklets on curriculum assessments. Concept booklets are a hybrid style of journal-writing that include responses to journal prompts, diagramming, and traditional note-taking. Prompts were designed to sometimes investigate new concepts and, at other times, to reflect on components of previously learned concepts.

The study, of an experimental design, was carried out at the high school level in honors-level mathematics classes with the independent variable being exposure to the …

Exploratory Study Of The Relationship Between State Fiscal Effort And Academic Achievement, Timothy A. Goodale

Teaching & Learning Theses & Dissertations

Prior empirical research has taken many varying approaches to determine if differences in funding significantly impacts student academic achievement. However, much of these studies exhibit weak generalizability due to their limited scope, timeframe and dissimilar achievement measures. To expand upon the already robust literature in education finance this study measures interstate funding disparities via state fiscal effort and determines its impact on several measures of student academic achievement. To control for threats to external validity the research investigates the variables over ten years to determine if the relationships hold over time. Statistical measures employed within the research include bivariate correlation, …

Review Of Calculation Vs. Context: Quantitative Literacy And Its Implications For Teacher Education By Bernard L. Madison And Lynn Arthur Steen (Editors), Maura B. Mast

Numeracy

Madison, Bernard L. and Steen, Lynn Arthur (Eds.). Calculation vs. Context: Quantitative Literacy and Its Implications for Teacher Education. (Washington, DC: Mathematical Association of America, 2009). 197 pp. Softcover. ISBN 978-0-88385-908-7. Available free on the MAA website at http://www.maa.org/ql/calcvscontext.html

The papers in Calculation vs. Context discuss the role of quantitative literacy in the K-12 curriculum and in teacher education. The papers present a varied set of perspectives and address three themes: the changing environment of education in American society; the challenges, and the necessity, of preparing teachers to teach quantitative literacy and of including quantitative literacy in the K-12 education; …

Engaging Math-Avoidant College Students, M. Paul Latiolais, Wendi Laurence

Numeracy

This paper is an informal, personal account of how we, as two college teachers, became interested in math anxiety, decided to explore it amongst students at our institution in order to inform our teaching, and became convinced that the massive problem is math avoidance. We tried discussion groups, but few students attended, although those that did made useful suggestions. Thus informed, we designed an innovative course, Confronting College Mathematics as a Humanities course with the possibility of credit toward the math requirement, but it was undersubscribed in its first offering and had to be canceled. How can we get college …

Measuring Resource Inequality: The Gini Coefficient, Michael T. Catalano, Tanya L. Leise, Thomas J. Pfaff

Numeracy

This paper stems from work done by the authors at the Mathematics for Social Justice Workshop held in June of 2007 at Middlebury College. We provide a description of the Gini coefficient and some discussion of how it can be used to promote quantitative literacy skills in mathematics courses. The Gini Coefficient was introduced in 1921 by Italian statistician Corrado Gini as a measure of inequality. It is defined as twice the area between two curves. One, the Lorenz curve for a given population with respect to a given resource, represents the cumulative percentage of the resource as a function …

Gender Differences On The American Mathematics Competition Amc 8 Contest, Melissa A. Desjarlais

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

This study examines gender differences on the American Mathematics Competition AMC 8 contest between 2003 and 2007 by comparing the performances of male and female United States eighth grade students after controlling for ability. During these years 183,857 males and 178,857 females participated in the contest. Research on gender differences frequently measures impact which is a difference in performance between two groups that can often be explained by different ability distributions. In contrast, differential item functioning (DIF) is a difference in performance after controlling for ability. Three types of analyses were performed to compare the performances. First, statistical analyses identified …

Bits And Pieces -- Working With Fractions [6th-8th Grade], Kathleen Kilday

Understanding by Design: Complete Collection

In this unit, students will be introduced to fractions. Students will have practice identifying commonly used fractions using physical models, pictures, numbers, and word problems. Using these skills, students will recognize equivalent fractions and be able to sort fractions from largest to smallest and vice versa. Students will also be introduced to adding and subtracting these commonly used fractions. To demonstrate their knowledge of fractions, students will be asked to complete a performance assessment. The students will be given a recipe and 2 situations. The students will use the given information to amend the recipe for the appropriate number of …

Math Island At Brewer Elementary School: A Learner-Centered Model For Education, Vikki K. Collins, H. Marguerite Yates

Georgia Educational Researcher

This paper examines a learner-centered model for the teaching of elementary mathematics established at an urban Georgia school that serves a highly mobile, diverse population of approximately 475 students. The school was on its state’s list of schools needing improvement because students continued to perform poorly on standardized tests. Math Island, a support center for students designed to facilitate the conceptual understanding of mathematics, was created, and professional development programs were implemented to assist teachers in developing their pedagogical and content expertise in the teaching of mathematics. The school made substantial progress after these initiatives were employed and was removed …

Educational Video Game Effects Upon Mathematics Achievement And Motivation Scores: An Experimental Study Examining Differences Between The Sexes, Wendi M. Kappers

Publications

An experimental research study using a mixed-method analysis to was conducted to examine educational video game effects on mathematics achievement and motivation between sexes. This study examined sex difference in a 7th grade mathematics (Mathematics 2/Mathematics 2 Advanced) classroom (n=60) learning algebra. Attributes and barriers relating to educational video game play, preference, and setting characteristics were explored. To examine achievement and motivation outcomes, a repeated-measure (SPSS v14) test was used. The analysis included ethnographic results from both student and teacher interview and observation sessions for data triangulation. Results revealed a statistically significant academic mathematics achievement score increase (F =21.8, df …

The Effects Of The Use Of Technology In Mathematics Instruction On Student Achievement, Ron Y. Myers

FIU Electronic Theses and Dissertations

The purpose of this study was to examine the effects of the use of technology on students’ mathematics achievement, particularly the Florida Comprehensive Assessment Test (FCAT) mathematics results. Eleven schools within the Miami-Dade County Public School System participated in a pilot program on the use of Geometers Sketchpad (GSP). Three of these schools were randomly selected for this study. Each school sent a teacher to a summer in-service training program on how to use GSP to teach geometry. In each school, the GSP class and a traditional geometry class taught by the same teacher were the study participants. Students’ mathematics …

Uncovering Transformative Experiences: A Case Study Of The Transformations Made By One Teacher In A Mathematics Professional Development Program, Rachelle Myler Orsak

Theses and Dissertations

Effective professional development is vital for improving mathematics teaching (National Council of Teachers of Mathematics [NCTM], 2007), so studying effective professional development programs is important to the field of mathematics education. This case study presents findings on one teacher, Rebecca, and her experiences in a five-semester mathematics professional development for elementary teachers. The participants in this professional development engaged in collaborative problem solving of challenging mathematical tasks over extended periods of time. I used qualitative research methods based on grounded theory methodology (Charmaz, 2006) to analyze Rebecca's entrance and exit surveys, video data of Rebecca's individual interviews, and video data …

Comparison Of Fifth-Grade Students’ Mathematics Achievement As Evidenced By Georgia’S Criterion-Referenced Competency Test: Traditional And Departmentalized Settings, Marcia Wright Williams

Doctoral Dissertations and Projects

This study examined the effect of traditional (self-contained, one teacher for all academic subjects) and departmentalized (math taught by a different teacher) instruction upon the mathematics CRCT achievement of fifth-grade general education students. A secondary purpose addressed teachers' experiences, perceptions, and opinions concerning the classroom structure at this level. The 2007 and 2008 CRCT math data was used with a total of 9,386 students. The researcher's Data Collection and Opinions (DCO) for Teachers surveyed 180 fifth-grade teachers. A z score population proportion and a two-sample t test determined significant differences between the two structures. Results of the passing percentages showed …