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An Ethnographic Study Of Socio-Emotional Factors In Interpersonal Peer Relationships And Their Impact On The Academic Success Of African American High School Students In Mathematics, Alanna Johnson

Middle and Secondary Education Dissertations

Nationally, the outlook for African Americans in K-12 education is dismal. While gains are being made, African Americans still lag behind their White peers. The latest reports by the National Center for Education Statistics (2009) show a 31 point gap between 8^th grade African Americans and Whites in mathematics. While statistics such as these are in abundance, there are few accounts of stories of success (Berry, 2005; Jett, 2009; Stinson, 2004). Studies directly related to the role of socio-emotional interpersonal relationships and the means by which African American high school students negotiated that space in terms of successful math …

Relationships Between Prior Experiences, Current Teaching Contexts, And Novice Teachers' Use Of Concrete Representation For Mathematics Instruction, Elizabeth Lee Johnson

Theses and Dissertations

This case study documents the perceived influences on three novice elementary teachers’ use of concrete representations for teaching mathematics. In order to develop mathematical proficiency, students need access to a variety of representations (i.e. pictures, words, symbols, concrete materials, and real world contexts) to make sense of mathematical ideas. Three sources of data were collected: video-recorded lessons, interviews, and a focus group. Analyses indicated that although concrete representations were accessible to all three teachers, they were least used among the available representations. Verbal expression was most prominent, followed closely by abstract written symbols. Technology, which was not one of the …

K-Theory Of Quadratic Modules: A Study Of Roy's Elementary Orthogonal Group., A. A. Ambily Dr.

Doctoral Theses

This thesis discusses the K-theory of quadratic modules by studying Roys elementary orthogonal group of the quadratic space Q1H(P) over a commutative ring A. We estab- lish a set of commutator relations among the elementary generators of Roys elementary orthogonal group and use this to prove Quillens local-global principle for this elementary group. We also obtain a result on extendability of quadratic modules. We establish nor- mality of the elementary orthogonal group under certain conditions and prove stability results for the Ki group of this orthogonal group. We also prove that Roys elementary orthogonal group and Petrovs odd hyperbolic unitary …

A Comparison Of Fifth Grade Mathematics Curriculum Materials, Michael E. Starks Sr.

Dissertations

In the USA, the No Child Left Behind Act of 2001 resulted in requirements placed on school districts to show student achievement in mathematics, based on measured adequate yearly progress. This caused school districts to search for standards based programs that improve mathematics learning. A quantitative multi-year study was used to compare the state-assessed achievement levels of 1,695 fifth-grade Midwestern children in the state of Missouri, who learned mathematics from two different curriculum-delivery programs, EveryDay Mathematics and EnVision Mathematics. A 2 by 2 by 8 research design was used through the choice of two elementary schools using EveryDay Mathematics and …

Bures Distance For Completely Positive Maps And Cp-H-Extendable Maps Between Hilbert C*- Modules., Sumesh K Dr.

Doctoral Theses

Completely positive (CP-) maps are special kinds of positivity preserving maps on C ∗ -algebras. W.F. Stinespring [Sti55] obtained a structure theorem for CP-maps showing that they are closely connected with ∗-homomorphisms. W. Arveson and other operator algebraists quickly realized the importance of these maps. Presently the role of the theory of CP-maps in our understanding of C ∗ -algebras and von Neumann algebras is well recognised. It has been argued by physicists that CPmaps are physically more meaningful than just positive maps due to their stability under ampliations. From quantum probabilistic point of view CP-maps are quantum analogues of …

A Quasi-Classical Logic For Classical Mathematics, Henry Nikogosyan

Honors College Theses

Classical mathematics is a form of mathematics that has a large range of application; however, its application has boundaries. In this paper, I show that Sperber and Wilson’s concept of relevance can demarcate classical mathematics’ range of applicability by demarcating classical logic’s range of applicability. Furthermore, I introduce how to systematize Sperber and Wilson’s concept of relevance into a quasi-classical logic that can explain classical logic’s and classical mathematics’ range of applicability.

Is More Always Better: Comparing The Effects Of Single And Multiple Learning Channels On Academic Performance, Samantha Ann Spillman

USF Tampa Graduate Theses and Dissertations

Precision teaching (PT) is a measurement system used in multiple settings for all types of behavior, from driving to mathematics. The ultimate goal of PT is to develop fluent, free operant behaviors through analyzing response frequencies on a standard celeration chart. Research has found PT to be effective at improving both the speed and accuracy of academic skills. There is little research, however, in the effects of learning channels, a component of PT, as they relate to the acquisition of academic skills. The present study examined the relationship between single and multiple learning channels on the acquisition of mathematics skills …

Epistemology Of The Cartesian Image, Mikhail Pozdniakov

Electronic Thesis and Dissertation Repository

This study is an examination of the epistemological history of the image. Its first strands are to be found in the Christian concept of profanity, in the difference of the world to the divine. The highest form of intelligibility profanity could have, second only to theology, was mathematics. Derived from the problems surrounding this concept are the techniques of inquiry that eventually resulted in the development of analytic geometry by Descartes. The latter marked a new sensibility regarding the physical universe and its constitution, one that is coterminous with the development of exact procedures in science. Being that exactitude regards …

All At One Point: The New Physics Of Italo Calvino And Jorge Luis Borges, Mark Thomas Rinaldi

Dissertations, Theses, and Capstone Projects

This work of comparative literary criticism focuses on the presence of mathematical and scientific concepts and imagery in the works of Italo Calvino and Jorge Luis Borges, beginning with an historical overview of scientific philosophy and an introduction to the most significant scientific concepts of the last several centuries, before shifting to deep, scientifically-driven analyses of numerous individual fictions, and finally concluding with a meditation on the unexpectedly fictive aspects of science and mathematics. The close readings of these authors' fictions are contextualized with thorough explanations of the potential literary implications of theories from physics, mathematics, neuroscience and chaos theory. …

Proximinality Properties Of Subspaces And Intersection Properties Of Balls In Banach Spaces., Jayanarayanan C. R. Dr.

Doctoral Theses

In this chapter, we explain the background and the main theme of this thesis and provide a chapter-wise summary of its principal results. We introduce some notations and preliminaries that will be used in the subsequent chapters.Study of proximinality related properties and ball intersection related properties of Banach spaces have been an active area of research in the field of geometry of Banach spaces. In this thesis, we mainly study these two classes of Banach space theoretic properties.We consider only Banach spaces over the real field R and all subspaces we consider are assumed to be closed.1.1 PreliminariesFor a Banach …

On The Group Of Transvections Of Ade-Diagrams, Marvin Jones

Theses and Dissertations

In this thesis we examine symplectic spaces with forms generated by the ADEdiagrams. Specifically, we determine the generators of the group of transvections for each space under the standard basis, S, of Kⁿ (where K is a field with characteristic 0) and the hyperbolic basis, H, we get from the classification theorem of symplectic spaces. Further, we examine how the generators of these groups are related via g : G_f,S ! SL(Z)_n where g(X) = P⁻¹XP where P is the change of basis matrix for S to H.

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: …

Examination Of High School Students' Understanding Of Geometry, Brantley Grant Pierce

Master's Theses

Not every student learns geometry instruction the same. Inside today’s classroom, one will find a diverse collection of students with different learning styles, background knowledge, and cognitive abilities. Students with high cognitive skills may sit next to those who struggle to maintain the material of a single subject. It is the job of an educator to accept the students as they are and guide them through a successful academic journey. This process is called Differentiated Instruction. Gregory and Chapman, authors of Differentiated Instructional Strategies: One Size Doesn’t Fit All, state that the term differentiation is a philosophy that allows instructors …

An Authentic Mathematics Problem Competition And Its Effect On The Performance Of Advanced Sixth Grade Learners, Eric Bergerson

Masters of Arts in Education Action Research Papers

The purpose of this study was to determine what effect an authentic mathematics problem competition would have on student performance by advanced sixth grade learners. The study was conducted in a public elementary school, in a sixth grade math classroom with twenty five advanced math students. The data sources included a student survey, weekly competition problems, chapter tests, and field notes. The results showed a definite relationship between success in the competition and improved performance in the math class. For students who did well in the competition their chapter test scores improved during the five weeks of the competition. Also, …

Impact Of Mathematics Computer-Assisted Instruction On English Language Learner Achievement, Christie Jacquelyn Jay

Graduate Theses and Dissertations

This quasi-experimental study examined the effect of supplemental mathematics computer-assisted instructional programs on the achievement of students in grades three and four over a two year period. This study evaluates the computer-assisted instruction (CAI) supplemental interventions through the lens of the sheltered instruction approach to teaching English Language Learner (ELL) students. The students who took part in the intervention attended nine elementary schools in one Arkansas district in the 2011-2012 and 2012-2013 school years. Data from Measures of Academic Progress (MAP) assessments were analyzed using a factorial ANOVA with pretest and two posttests over the course of two school years. …

Dual Task Interference In Low-Level Abilities: The Role Of Working Memory And Effects Of Mathematics Anxiety, Alex Michael Moore

UNLV Theses, Dissertations, Professional Papers, and Capstones

Mathematics anxiety is a negative affective reaction to situations involving mathematical thought and is commonly believed to reduce cognitive functioning by impairing the efficient use of working memory resources. The conventional theory describes that the processing disadvantage associated with high levels of math anxiety increasingly impairs performance as working memory demands increase in a math task. Despite this convention, recent reports demonstrate that the high math anxious disadvantage can be measured in tasks that are relatively free of working memory assistance (Maloney, Ansari, & Fugelang, 2011; Maloney, Risko, Ansari, & Fugelsang, 2010). The present study examines these relatively low level …

Mirando Hacia El Futuro: Using Multilevel Growth Models To Examine The Achievement Gap Between White And Hispanic Students, Renee Delgado

Individual, Family, and Community Education ETDs

Academic achievement gaps have been a topic of study for researchers within the United States of America for many decades because there has been a steady achievement disparity between White students and students of color. The mathematics achievement gap for the largest growing population, Hispanic students, has not changed when compared to White students over the last few decades (Dillon, 2009; Hemphill, Vanneman, & Rahman, 2011; Perie, Moran, & Lutkus, 2005). Utilizing mathematics achievement scores from students in 3rd-5th grades in a large Southwestern Urban School District, levels of math achievement between White and Hispanic students were compared to examine …

Using Schematic-Based And Cognitive Strategy Instruction To Improve Math Word Problem Solving For Students With Math Difficulties, Lisa L. Morin

Communication Disorders & Special Education Theses & Dissertations

For students with math difficulties (MD), math word problem solving is especially challenging. The purpose of this study was to examine a math word problem solving strategy, bar model drawing, to support students with MD. The study extended previous research that suggested that schematic-based instruction (SBI) training delivered within an explicit instruction framework can be effective in teaching various math skills related to word problem solving. As a more generic schema approach, bar model drawing may serve as an effective form of SBI that can be developed across word problems. Moreover, the bar model approach has the potential to enhance …

Investigating The Effects Of A Multicomponent Intervention On The Mathematical Word Problem-Solving Skills Of Third Graders Identified As Ld, At-Risk. And/Or Esol, Sheri Kingsdorf

Open Access Dissertations

In third grade, with the introduction of high-stakes testing, the focus on math word-problems becomes prominent. However, intervention research on solving word problems has concentrated on the higher grades. While some of these strategies are valuable, developmental and curricular modifications are needed for third graders. In research where this has been recognized, teacher-mediated explicit instruction with multiple exemplars, teaching students to use visual representations, and the incorporation of self-strategies, have proven effective. However, for these practices to reach their full potential, their content must be relevant and provide for growth to more mature mathematical concepts. Based on these conclusions, additional …

Enhancing Self-Monitoring And Self-Reflection Through A Self-Regulatory Skills Intervention Embedded In A Middle School Mathematics Curriculum, Gregory Digiacomo

Dissertations, Theses, and Capstone Projects

The purpose of this study was to investigate the effects of a self-regulatory strategy intervention designed to improve participants' calibration accuracy, self-regulatory skills, and math achievement. Monitoring and self-reflection processes were the main focus of this intervention as they are key processes in many well-validated models of self-regulated learning and have been found to impact academic achievement and overall self-regulatory skill (Bol et al., 2010; Dunlosky & Rawson, 2011; Hacker et al., 2008; Nietfeld et al., 2005). The participants were 30 sixth and seventh grade students who were learning about probability as part of their normal math curriculum during the …

Cal Poly Women’S Basketball 2013-2014 Shot Selection Analysis, Noah Alexander Zwarg Mr.

Statistics

The initial goal of my senior project was to find some way to help the Cal Poly women’s basketball team score more efficiently. The first idea that came to my mind on how I could accomplish this goal was to look at the most important thing when it comes to scoring more points, the shot itself. I went with my initial idea and recorded each shot that a player took during the 2013-2014 season and categorized each shot by the distance it was taken (close, medium, long, or three), and whether the shot was open or guarded for a total …

La Vie De Blaise Pascal Et Son Heritage Mathématique Et Philosophique, Katherine Weeks

Honors Theses

This paper will discuss the life of Blaise Pascal, his philosophy and mathematics. We will first study the life of Pascal, by looking at his family, the success of his family, and how he was educated. We will then move onto study the history of the arithmetic triangle, which eventually becomes known as Pascal’s Triangle. Finally we will look at Pascal’s Pensées. Finally we will conclude that Pascal is not only known for Pascal’s Triangle but also his legacy in the Philosophic world. It becomes clear that Pascal would not have been the mathematician he was without the philosophy, and …

On The Evolution Of Virulence, Thi Nguyen

Electronic Theses, Projects, and Dissertations

The goal of this thesis is to study the dynamics behind the evolution of virulence. We examine first the underlying mechanics of linear systems of ordinary differential equations by investigating the classification of fixed points in these systems, then applying these techniques to nonlinear systems. We then seek to establish the validity of a system that models the population dynamics of uninfected and infected hosts---first with one parasite strain, then n strains. We define the basic reproductive ratio of a parasite, and study its relationship to the evolution of virulence. Lastly, we investigate the mathematics behind superinfection.

Technology Adoption In Secondary Mathematics Teaching In Kenya: An Explanatory Mixed Methods Study, Leonard Mwathi Kamau

Dissertations - ALL

Abstract

This study examined the factors related to technology adoption by secondary mathematics teachers in Nyandarua and Nairobi counties in the Republic of Kenya. Using a sequential explanatory mixed methods approach, I collected qualitative data from interviews and classroom observations of six teachers to better understand statistical results from the quantitative survey of 135 teachers, and drew on Rogers' (2003) diffusion of innovations theory. In the initial quantitative phase, using multiple regression analysis, I identified six explanatory variables related to technology adoption that resulted in R square of 61.2% and adjusted R square of 59.3%. These six variables and the …

Meta-Didactical Slippages: A Qualitative Case Study Of Didactical Situations In A Ninth Grade Mathematics Classroom, Nathan J. Wisdom

Middle-Secondary Education and Instructional Technology Dissertations

Research on the mathematical behavior of children over the past forty decades has considerably renewed and augmented the body of evaluative tests of the results of learning (Lester, 2007). Research however, has provided very little knowledge about the means of improving students’ performance on these tests. Nevertheless teachers, students, and others are being pressured to improve students’ performance, but in order to concentrate on basic skills, the learning itself is made more difficult and slower. The combination of requirements has led to a variety of uncontrolled phenomena such as meta-didactical slippage (Brousseau, 2008).

The purpose of …

A Three-Part Study In The Connections Between Music And Mathematics, Molly Elizabeth Anderson

Undergraduate Honors Thesis Collection

The idea for this thesis originated from my fascination with the studies of both music and mathematics throughout my entire life. As a triple major in Middle/Secondary Math Education, Mathematics, and Music, I have learned more than I thought possible of music and math. In proposing this thesis, I desired to use my knowledge of arithmetic and aesthetics to research how music and mathematics are intertwined. I am confident that the following three chapters have allowed me to develop as an academic in both music and mathematics. This thesis serves as a presentation of the connections of music and math …

Teachers' Beliefs And Practices Regarding Homework: An Examination Of The Cognitive Domain Embedded In Third Grade Mathematics Homework, Pandora Dell Bedford

Theses and Dissertations

The purpose of this phenomenological study was to gain a better understanding of third grade math teachers''beliefs and practices regarding homework, to explain how teachers''beliefs and practices regarding homework aligned to the framework of the Revised Bloom's'Taxonomy Cognitive Domain, and to determine the administrative influences on homework practices. The data were collected during October and November 2013. Six third grade math teachers (primary unit of analysis) and four principals (secondary unit of analysis) were interviewed from Dell School District. Each participant (teacher and principal) was interviewed for approximately one hour. A second meeting was set at a later time with …

The Impact Of Computer-Adaptive Benchmark Data And Assessment Literacy On Student Achievement And Motivation In Mathematics, Sheryl J. Rushton

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Over the past several decades there has been an emphasis in educational research on student assessment and achievement in mathematics. Formative assessments are designed to inform the instructional decision making process and require assessment literacy to interpret and use data provided by these assessments. Many teachers and students were lacking assessment literacy; therefore, they were unable to adjust their instruction and study habits to increase student performance on summative assessments.

This study investigated the impact Scholastic Math Inventory (SMI) benchmarks and assessment literacy training had on summative assessments and student motivation in mathematics. The researcher analyzed unit posttest scores and …

Convexity Properties Of The Diestel-Leader Group Γ_3(2), Peter J. Davids

Honors Projects

The Diestel-Leader groups are a family of groups first introduced in 2001 by Diestel and Leader in [7]. In this paper, we demonstrate that the Diestel-Leader group Γ₃(2) is not almost convex with respect to a particular generating set S. Almost convexity is a geometric property that has been shown by Cannon [3] to guarantee a solvable word problem (that is, in any almost convex group there is a finite-step algorithm to determine if two strings of generators, or “words”, represent the same group element). Our proof relies on the word length formula given by Stein and Taback …

Common Themes Associated With Teacher-Identified Obstacles To Implementing Change In Mathematics Instruction Attributable To Participation In Mathematics Professional Development, Ronald A. Twitchell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This study had three purposes: first, explore any common phenomenon of secondary mathematics teachers’ experience in secondary mathematics professional development (MPD); second, determine if there were positive changes in teacher attitudes after completing secondary MPD; and finally, if a positive change in teacher attitude was identified, describe the shared experiences in secondary MPD to in a way that cannot be revealed through ordinary observations. It was the intent of this study to identify positive changes in teacher attitudes not to measure their magnitude. This study implemented a mixed methods design using descriptive statistics and categorical analysis on data from pre- …