Education Commons^™

Analyzing The Influence Of Mathematics Intervention Teacher Actions On Students' Mathematics Identities: An Examination Of Bipoc Student Perceptions And Past Learning Experiences., Sydni P. Morris

Electronic Theses and Dissertations

This dissertation examines mathematics education's past and present state in the United States, emphasizing mathematics intervention instruction. This dissertation includes a complex and critical analysis of intervention practices and historical and structural inequities based on race present in these interventions and mathematics education. In combination, it examines the construct of mathematics identities, their role in student success with mathematics, and trends surrounding mathematics education and its impact on populations of students of color. Using Critical Race Theory as an underlying framework and Critical Counter-Narrative as a methodology, it argues a need for marginalized student voices to be present in the …

“I’M Not Good At Math”: Mathematical Illiteracy And Innummeracy In The United States, G. Wesley Rogers

Electronic Theses and Dissertations

Why do we view mathematics the way we do in the United States and how have these views created an environment where we consider mathematical illiteracy and innumeracy socially and culturally acceptable when a lack of this knowledge and ability can function to enslave, exploit, restrict, and oppress. Throughout this investigation, I have explored some of the possible reasons for why we view education, mathematics, and the learning of mathematics the way we do and the impact of these views on our motivation and desire to learn mathematics. Using my over 20 years of teaching experience and the review of …

Structural-Symbolic Translation Fluency: Reliability, Validity, And Usability, Matt C. Hoskins

Electronic Theses and Dissertations

Standardized formative mathematics assessments typically fail to capture the depth of current standards and curricula. Consequently, these assessments demonstrate limited utility for informing the instructional implementation choices of teachers. This problem is particularly salient as it relates to the mathematical problem solving process. The purpose of this study was to develop and evaluate the psychometric characteristics of Structural-Symbolic Translation Fluency, a curriculum-based measure (CBM) of mathematical problem solving. The development of the assessment was based on previous research describing the cognitive process of translation (Mayer, 2002) as well as mathematical concept development at the quantitative, structural, and symbolic levels (Dehaene, …

Learning Support Effectiveness In Mathematics At A Tennessee University, Mark Dula

Electronic Theses and Dissertations

Every year thousands of students graduate from high school and move on to higher education, but many of them are not yet prepared for college level courses. The Tennessee Board of Regents does not currently allow 4-year institutions to teach courses that are below college level, so many institutions are using programs such as learning support courses to assist a growing population of underprepared students. The purpose of this study was to determine if the 1-term and 2-term retention rates for students with the same ACT mathematics subsection scores were different between students who took a regular section of Probability …

Investigating Teachers' Content Knowledge And Pedogogical Content Knowledge In A Middle School Physical Science Curriculum On Force And Motion, Daniel Patrick Laverty

Electronic Theses and Dissertations

Teaching is a profession that requires the incorporation of many types of knowledge in order to create effective instructional experiences that promote student learning. Teachers need to blend their knowledge of the content with the methods for delivering that content and an understanding of their students' thinking. With increasing concern in the United States over student achievement in science and mathematics, there is ongoing discussion about which elements of teacher knowledge most directly correlate with effective instruction. How do specific strands of teacher knowledge blend to influence student learning outcomes? This study explores the roles of teacher content knowledge (CK) …

Student Application Of The Fundamental Theorem Of Calculus With Graphical Representations In Mathematics And Physics, Rabindra R. Bajracharya

Electronic Theses and Dissertations

One mathematical concept frequently applied in physics is the Fundamental Theorem of Calculus (FTC). Mathematics education research on student understanding of the FTC indicates student difficulties with the FTC. Similarly, a few studies in physics education have implicitly indicated student difficulties with various facets of the FTC, such as with the definite integral and the area under the curve representation, in physics contexts. There has been no research on how students apply the FTC in graphically-based physics questions.

This study investigated student understanding of the FTC and its application to graphically-based problems. Our interest spans several aspects of the FTC: …

A Case Study Exploring The Relationship Between Culturally Responsive Teaching And A Mathematical Practice Of The Common Core State Standards, Tashana Howse

Electronic Theses and Dissertations

This collective case study explores the nature of the relationship between teachers’ use of culturally responsive teaching (CRT) practices and students’ engagement in constructing viable arguments and critiquing the reasoning of others (SMP3). This study was informed by the Common Core State Standards Initiative related to developing mathematically proficient students through the use of student engagement practices consistent with the standards for mathematical practice. As a means to support teachers’ facilitating specific student engagement practices, professional development was provided. This study is situated in the growing body of research associated with student engagement and cultural identity. The case of two …

Mathematical Tasks Without Words And Word Problems: Perceptions Of Reluctant Problem Solvers, Sydney Margaret Holbert

Electronic Theses and Dissertations

This qualitative research study used a multiple, holistic case study approach (Yin, 2009) to explore the perceptions of reluctant problem solvers related to mathematical tasks without words and word problems. Participants were given a choice of working a mathematical task without words or a word problem during four problem-solving sessions. Data were gathered from problem-solving sessions, in the form of session transcripts, written reflections, and interviews to determine how the reluctant problem solvers perceived the problems presented in each session. Participants' views of the problems before and after working were recorded and thick descriptions of the sessions including quotes from …

Mathematic Strategies For Teaching Problem Solving: The Influence Of Teaching Mathematical Problem Solving Strategies On Students' Attitudes In Middle School, Kelly Lynn Klingler

Electronic Theses and Dissertations

The purpose of this action research study was to observe the influence of teaching mathematical problem solving strategies on students’ attitudes in middle school. The goal was to teach five problem solving strategies: Drawing Pictures, Making a Chart or Table, Looking for a Pattern, Working Backwards, and Guess and Check, and have students reflect upon the process. I believed that my students would use these problem solving strategies as supportive tools for solving mathematical word problems. A relationship from the Mathematics Attitudes survey scores on students’ attitudes towards problem solving in mathematics was found. Students took the Mathematics Attitudes survey …

The Effects Of Journaling And Vocabulary Strategies On Elementary Students' Attitudes Towards Mathematical Performance, Renee Marie Janzen

Electronic Theses and Dissertations

In an attempt to examine the effects of journaling and vocabulary strategies on elementary students’ attitudes towards mathematical performance, I embedded reflective journaling and vocabulary strategies into my fourth grade mathematics curriculum. The mathematics content focused on whole number place value, multiplication, and division. My study revealed the positive effects these interventions can have on elementary students’ attitudes towards mathematics.

Equal Or Not? An Exploration Of Eighth-Grade Students' Experience Of Algebra, Janice L. Reyes

Electronic Theses and Dissertations

Over the past two decades, a considerable amount of algebra instruction nationwide has shifted from high school to middle school. In Georgia, all eighth-grade students have been required to take a course that is equivalent to about 80 percent of a traditional Algebra 1 course. The purpose of this qualitative study was to explore how a selected group of eighth-grade students in a suburban Georgia middle school experience algebra within the eighth grade mathematics curriculum. A qualitative research design was used to investigate students’ perceptions of algebra, the strategies employed by teachers to teach algebra, students’ difficulties with algebra, and …

An Analysis Of Mathematics Interventions: Increased Time-On-Task Compared With Computer-Assisted Mathematics Instruction, James M. Calhoun Jr.

Electronic Theses and Dissertations

Student achievement is not progressing on mathematics as measured by state, national, and international assessments. Much of the research points to mathematics curriculum and instruction as the root cause of student failure to achieve at levels comparable to other nations. Since mathematics is regarded as a gate keeper to many educational opportunities as well as, eventually, potential job prospects, critics are asking schools to fix the problem.

This research project is a comparison of two different interventions used to improve student performance as tested on the Colorado State Assessment Program (CSAP). The first intervention, increased time-on-task, was used at Freedom …

Secondary Mathematics' Teachers Perceptions Of Their Integration Of Instructional Technologies, Jessica Taylor Ivy

Electronic Theses and Dissertations

This qualitative research study explored the beliefs and practices regarding integrations of instructional technologies by seven secondary mathematics teachers. The researcher conducted an initial interview, a classroom observation, and a follow-up interview with each participant. Participants also submitted sample lessons and completed a TPACK Development Model Self-Report Survey. The interviews and observations were analyzed using deductive analysis, using the Technological Pedagogical Content Knowledge (TPACK) Development Model to assess technology-related practices. Through responses to the TPACK Development Model Self-Report Survey, the participants revealed their perceptions of their practices and beliefs regarding technology integration. These perceptions were compared to the researcher's analysis …

An Examination Of Secondary Mathematics Teachers' Tpack Development Through Participation In A Technology-Based Lesson Study, Julie Whitten Riales

Electronic Theses and Dissertations

This qualitative research study used a layered case study (Patton, 2002) to examine the technological, pedagogical, and content knowledge (TPACK) of a group of inservice secondary mathematics teachers as they participated in a technology-based lesson study. Using the TPACK Development Model (Niess, 2009) as a lens, this dissertation examines interactions of the group members during lesson study meetings as well as individual case studies of four of the six participants. Data were gathered from initial surveys, initial and post-interviews, initial and post-classroom observations, writing prompts, and transcriptions of lesson study group meetings. Data were analyzed to determine the TPACK development …

Developing Fourth Graders' Proficiency In Basic Multiplication Facts Through Strategy Instruction, Stacey Braddock

Electronic Theses and Dissertations

The purpose of this action research study was to evaluate my own practice of teaching basic multiplication facts to fourth graders. I wanted to see how focusing my instruction on strategies would help my students develop proficiency in basic multiplication facts. I chose this topic because Florida was in the process of shifting to new standards that encourage teaching for deeper meaning. I hoped this research would give my students the opportunity to make sense of multiplication on a deeper level, while giving me insight into how students learn multiplication. Through this study, I learned that students initially find multiplication …

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 …

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 …

Linking Place Value Concepts With Computational Practices In Third Grade, Terry Cuffel

Electronic Theses and Dissertations

In an attempt to examine student understanding of place value with third graders, I conducted action research with a small group of girls to determine if my use of instructional strategies would encourage the development of conceptual understanding of place value. Strategies that have been found to encourage conceptual development of place value, such as use of the candy factory, were incorporated into my instruction. Instructional strategies were adjusted as the study progressed to meet the needs of the students and the development of their understanding of place value. Student explanations of their use of strategies contributed to my interpretation …

Effects Of Discussion And Writing On Student Understanding Of Mathematics Concepts, Joseph Roicki

Electronic Theses and Dissertations

For this action research project, I wanted to examine my practice of teaching mathematics. Specifically, I encouraged students to improve their communication skills during my math class through daily discussion and writing tasks. After establishing a class set of sociomathematical norms, the students solved problems provided by the Every Day Counts: Calendar Math program and used verbal and written formats to describe their problem solving methods and reasons. My study showed the effects of using discussion and writing to help students develop their conceptual understanding of mathematical ideas. Focus was placed on the quality of daily discussions and written tasks …

Effects On Student Performance Of Using Hands-On Activities To Teach Seventh Grade Students' Measurement Concepts, Darlene Hoke

Electronic Theses and Dissertations

Student performance on measurement concepts in mathematics was the basis for this action research study. This study summarizes research conducted in a seventh grade classroom at an urban middle school during fall of 2005. The study investigated the practice of using hands-on activities in addition to the standard mathematics curriculum to improve student performance in measurement tasks. Students were asked to respond to questions posed by both teacher and other students in the classroom. Data were collected using measurement survey, focus group discussions, math journals, and teacher observations. Results of this study showed that student performance on measurement tasks increased …

Using Communication Techniques In The Low-Performing Mathematics Classroom: A Study Of Fractions,Decimals,Performance And Attitu, Pamela Guyton

Electronic Theses and Dissertations

Within a low-performing seventh grade mathematics classroom, communication techniques including discourse, collaborative groups, listening, reading, and writing were implemented during a six week period. This study shows how the use of these techniques led to the twenty four students' conceptual understanding of fraction and decimal concepts. This research study provides insight to the deep-seeded beliefs of low-performing students. It provides a record of how the teacher used communication techniques in the classroom and had a strong positive impact on the attitudes and performance of these struggling students.

Creating Communities Of Mathematical Thinkers In The Pre-Kindergarten Classroom., Robin Penley Herndon

Electronic Theses and Dissertations

This thesis describes a standards-based pre-kindergarten mathematics curriculum. The purpose of this thesis was to create a series of original lesson plans for the pre-kindergarten classroom that would address defined standards with instructional and other materials appropriate for teaching and assessing student understanding of the concepts. The curriculum is based on standards set forth by the National Council of Teachers of Mathematics and the Virginia Department of Education's Foundation Blocks for Early Learning. The body of the work introduces the foundation for the thesis with theoretical underpinning, defines the content strands and learning objectives, establishes a pacing schedule for meeting …

What Teachers Want To Know: A Systematic Review Of Action Research Theses Related To K-8 Mathematics And Science, Bridget Steele

Electronic Theses and Dissertations

The research conducted was a systemic review of 88 action research masters theses from a teacher enhancement program for K-8 mathematics and science at the University of Central Florida and the teachers that performed the studies. The purpose of this study is to synthesize existing research results of a collection of master's theses from a teacher enhancement program for K-8 mathematics and science teachers in order to arrive at meaningful conclusions regarding teachers' research interests and classroom practices. Also, the study will help teacher educators who deliver the teacher enhancement program to improve the effectiveness of the program. A summary …

The Paths To Becoming A Mathematics Teacher, Kimberly Lowry

Electronic Theses and Dissertations

Increasing numbers of mathematics teachers must be recruited in coming years, because of a growing student population, teacher attrition, calls for smaller class size, and the need to replace out-of-subject teachers. Recruitment can be made more effective and efficient, if better information on career paths is provided to decision makers. This study attempts to analyze the academic decisions which lead to the outcome "becoming a mathematics teacher". Four groups were compared and contrasted: mathematics teachers, science teachers, other teachers, and non-teachers. Science teachers were removed from the "other teachers" category because of their many similarities to mathematics teachers on the …

Middle School Mathematics Teacher Certification, Degree Level, And Experience, And The Effects On Teacher Attrition And Student Mathematics Achievement In A Large Urban District, Bonnie Swan

Electronic Theses and Dissertations

The purpose of this study was to examine the backgrounds and experiences of middle school mathematics teachers that often distinguish "quality" teachers, including certification, experience, degree type, and degree level and how those demographics and others vary for different types of schools. The emphasis was on profiling teachers in a large urban district by describing their basic features and distributions, as well as how middle school mathematics teachers, according to those differences, relate to student mathematics achievement, teacher attrition and teacher mobility. Student achievement was measured by test results from the Norm Reference Test-Normal Curve Equivalent (NRT-NCE) mathematics portion of …

The Effects Of Hands-On Instructional Strategies On Fourth Grade Students' Attitudes And Performance In Mathematics, Lindsey Hosack

Electronic Theses and Dissertations

This study summarizes research conducted in a fourth grade classroom in a suburban elementary school in the fall of 2005. This study investigated the practice of using hands-on instructional strategies, enhanced with technology, to improve students' attitudes and performance in mathematics. The classroom teacher supplemented conventional mathematics instruction with hands-on activities. Attitudinal data were collected using a pre- and post anxiety survey as well as journal writing assignments and student interviews. Performance data was collected using evaluative assessments. Results of this study showed a positive change in students' attitude towards mathematics. Student performance gains were recorded and analyzed throughout the …

An Investigation Of High School Geometry Students Proving And Logical Thinking Abilities And The Impact Of Dynamic Geometry Software On Student Performance, Lalitha Subramanian

Electronic Theses and Dissertations

The purpose of this study was to investigate (a) the role of a yearlong geometry course on high school geometry students' logical thinking and proof construction abilities, (b) the linkage between students' logical thinking and proof construction abilities, and (c) the impact of dynamic geometry software on students' performance. In addition, this study also ventured to determine if the type of geometry course had any impact on students' logical thinking and proof construction achievement. The sample for the study consisted of 1,325 high school geometry students enrolled in regular, honors, and mastery courses in four high schools from the school …

Interactive Television In The Classroom: A Comparison Of Student Math Achievement Among Three Instructional Settings, Sherri L. Hodge-Hardin

Electronic Theses and Dissertations

A dramatic expansion of distance learning through the use of interactive television (ITV) is allowing colleges and universities to offer students potentially unlimited access to educational and training opportunities. While the expanding information age beckons us to consider mechanisms for using communication technologies for the benefit of meeting the needs of learners in a variety of locations, the question may be raised--Is ITV an effective medium of instruction? This study examined the effectiveness of using an interactive television system to broadcast developmental algebra classes at East Tennessee State University. The purpose of this study was to determine if there were …