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Infinity In The High School Mathematics Classroom, Alyssa Hoslar

Masters Essays

No abstract provided.

Mittag-Leffler Therorem, Elizabeth O. Agyeman

Masters Essays

No abstract provided.

Some Problems In Differential And Subdifferential Calculus Of Matrices., Priyanka Grover Dr.

Doctoral Theses

A central problem in many subjects like matrix analysis, perturbation theory, numerical analysis and physics is to study the effect of small changes in a matrix A on a function f(A). Among much studied functions on the space of matrices are trace, determinant, permanent, eigenvalues, norms. These are real or complex valued functions. In addition, there are some interesting functions that are matrix valued. For example, the (matrix) absolute value, tensor power, antisymmetric tensor power, symmetric tensor power.When a function is differentiable, one of the ways to study the above problem is by using the derivative of f at A, …

Some Studies On Selected Stream Ciphers Analysis Fault Attack & Related Results., Subhadeep Banik Dr.

Doctoral Theses

Stream Ciphers are important Symmetric Cryptological primitives, built for the purpose of providing secure message encryption. As no formal security proofs exist, our confidence in these algorithms is largely based on the fact that intense cryptanalysis has been carried out over several years without revealing any weakness. This thesis makes some independent contributions to the cryptanalysis of a selection of stream ciphers.In this thesis, we take a closer look at two stream ciphers viz. RC4+ designed by Maitra et al. at Indocrypt 2008 and GGHN designed by Gong et al. at CISC 2005. Both these ciphers were designed as viable …

Preparing English Learners For Academic Language Demands Of Mainstream Mathematics, Tracie Lynn Cavalli

School of Education and Leadership Student Capstone Theses and Dissertations

Secondary English language teachers and content mathematics teachers are called upon to develop the language and mathematics skills of students. English learners need learning methods in place that will aid in learning both sets of skills. This research outlines methods to incorporate language usage into mathematics instruction through incorporating direct vocabulary instruction, problem solving procedures and oral presentations. The research was conducted in a sheltered mathematics classroom over the course of two weeks. Data was collected from pre-­‐ test and post-­‐test scores, students presented problems after following a set of problem solving procedures, and a completing a written assessment where …

Concerns Of Elementary School Leaders And Teachers When Implementing A Common Core Aligned Mathematics Program, Leela J. George

Dissertations - ALL

The purpose of this study is twofold: first, the research is an investigation of the concerns of school leaders and teachers when implementing a Common Core Learning Standards-aligned elementary mathematics curriculum in an age of accountability and reform; second, this research aims to identify the interventions that school leaders employ in response to the concerns of teachers.

This is a mixed methods study using the Concerns-Based Adoption Model (CBAM). Specifically, the Stages of Concern Questionnaire (SoCQ) and the Change Facilitator Stages of Concern Questionnaire (CFSoCQ) were administered three times during the initial year of implementation of a new mathematics program …

How Can Inquiry-Based Instruction Be Implemented In A Secondary Mathematics Classroom?, Jennifer Colley Smith

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this project was, how can inquiry-based instruction be implemented in a secondary mathematics classroom? The motivating factors for this capstone were the inability for students to retain information and the challenges that students often face due to lack of investment in secondary mathematics classrooms. This capstone documents the creation of tools that support teachers in implementing and using inquiry-based methods in a secondary mathematics classroom, rooted in mitigating the challenges that may arise as an inquiry-based structure is introduced. The author supports the creation and implementation of each tool through research literature, documenting purpose and …

Interventions To Improve Student Achievement In Mathematics For Middle School Students With Autism, Sherria L. Burney

Specialist in Education Degree (Ed.S.) Theses

The purpose of this study was to evaluate the effects of using Concrete-Representational-Abstract (CRA) teaching sequence and explicit instruction to improve student achievement in mathematics in middle school aged students with autism and moderate intellectual disabilities. The effects of the CRA teaching sequence and explicit instruction were examined using a Multiple Baseline Design. Although the results in the curriculum-based measurements were inconsistent, all participants showed an increase in the pre-test and post-test scores.

Culturally Responsive Curriculum: Third Grade Dual Language Immersion Fraction Unit, Katherine Elizabeth Jacques

School of Education and Leadership Student Capstone Theses and Dissertations

While there is a growing body of research about best practice teaching in the dual language immersion setting as well as how to structure culturally responsive instruction, there is far less research that connects the dual language immersion model with culturally responsive mathematics instruction. This capstone primarily seeks to demonstrate how cooperative learning strategies, culturally responsive instructional techniques and the response to intervention and curriculum-based measurement model can be used to develop a math fractions unit for third-grade bilingual students in the dual language immersion setting. This study describes the components of dual language immersion, establishes the existence of racial …

Examining Implementations Of Blended Learning In A K-12 Mathematics Classroom, Kelsey Waynick

Honors Projects

In this research project, I investigated the effects on eighth grade students’ performances and perceptions throughout a blended learning experience by implementing a combination of face-to-face and online instructional strategies in an Algebra classroom. This blended experience was segmented into two units – a face-to-face unit and a blended unit – to allow for comparison within the participant group of high-achieving mathematics students. Edmodo, an online educational platform, was utilized to provide students with access to online resources at home during the blended unit. Students completed a series of three identical tests to quantitatively measure learning growth at designated checkpoints …

Teacher Perceptions Of Leadership And Student Growth In Reading And Mathematics In Northeast Tennessee, Kyle Anderson Loudermilk

Electronic Theses and Dissertations

The purpose of this quantitative correlational study was to determine whether there is a significant relationship between teacher perceptions of administrator leadership focus and student growth in reading and mathematics for elementary and middle schools in nine school systems located in northeast Tennessee during the 2012-2013 academic year. Specifically, this study was an analysis of the leadership focuses of trust and respect, collaboration, shared leadership, data use and analysis. All data were collected through public online databases. Teacher perceptions of administrator leadership focus were gathered from the Tennessee Teaching, Empowering, Leading, and Learning (TELL) Survey and data on student growth …

Identifying Factors Common Among Students Who Do Not Fit The Typical Mathematics Self-Efficacy And Achievement Correlation, Jodi H. Mantilla

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A student’s self-efficacy, or their belief in their ability to perform a specific behavior, has been shown to have a positive correlation with their academic achievement. In other words, if their self-efficacy is high, their academic achievement is high. If self-efficacy is low, likewise their achievement is low. Research has shown that this correlation is especially true when looking at the self-efficacy and academic achievement in a specific subject, such as mathematics. However, in a typical classroom, teachers experience students who have very high self-efficacy in their mathematics abilities yet perform mathematics tasks at a low level. They may also …

An Exploratory Study Of Attributes, Affordances, Abilities, And Distance In Children's Use Of Mathematics Virtual Manipulative Ipad Apps, Stephen I. Tucker

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This exploratory qualitative study investigated the presence of and relationships among constructs that contribute to children's interactions with educational technology, leading to the development of the modification of attributes, affordances, abilities, and distance (MAAAD) for Learning framework. For this study, each of 10 fifth-grade children participated in one individual video-recorded semistructured interview session, during which they interacted with two mathematics virtual manipulative iPad apps and responded to follow-up questions. Video recordings and observation field notes were analyzed for evidence of attributes, affordance-ability relationships, distance, and relationships among these constructs.

Constant comparative data analysis using memoing and eclectic coding provided evidence …

The Effects Of Integrating Mathematics Into The Physical Education Setting, Steven D. Thompson, Jacqueline L. Robertson

Masters of Arts in Education Action Research Papers

The purpose of this paper was to describe the effects of integrating mathematics curriculum into the physical education setting. The study was conducted in an elementary school in Northern Minnesota where a strong emphasis is being placed on preparation for standardized testing. The research was designed to find the results of integration in four classes of first-grade students. The data collecting methods used included pre- and post-assessments, observational journal, student feedback, and a teacher dialog. The results of the research indicated that integration enhanced the learning environment and improved mathematics performance for students. The data also showed that physical activity …

The Effects Of Physical Activity On Reading And Mathematics Achievement In An Elementary Classroom, Chelsey Earney, Emily A. Berg, Jill M. Wallert

Masters of Arts in Education Action Research Papers

The purpose of this action research was to determine the effects of physical activity on reading and mathematics achievement on two first grade classrooms. The intervention took place over a period of four weeks in a public school setting with 38 students. Data was collected using teacher feedback, student self-assessment, a teacher log, and weekly reading and mathematics probes. Our results show that reading scores slightly improved after the intervention while mathematics scores stayed fairly consistent. Both first-grade teachers reported that they would continue to use physical activity prior to academic instruction in their classrooms because it helped students to …

Student Perspective And Frequency Of Mathematical Textbook Use, Lance Kruse

Honors Projects

The purpose of this action research study was to explore students’ perspective and use of their mathematical textbook as a resource to learn mathematics. Participants were 18 students who attended an eighth grade mathematics class for 45 minutes each day in a suburban school setting. An initial survey was provided to participants to gauge perspective about current use of textbook as a resource and was then followed up with a focus group interview of six participants. Specifically designed instruction was aimed at creating a reader-centered learning environment by instructing participants about key components of the textbook and encouraging proper reading …

The Relationship Between Teachers’ Beliefs Concerning Mathematical Problem-Solving And The Strategies Used For Teaching Third - Through Fifth - Grade Students, Jasmine L. Thomas

Honors Theses

Everyone uses problem-solving on a daily basis: paying bills, managing time, and making decisions. It is important to be able to solve problems effectively, especially in mathematics. In 2007, the Mississippi Department of Education produced a set of mathematical objectives for third - through fifth - grade students. These objectives use the phrase problem-solving, without defining its use in the mathematics classroom. To discover what mathematics teachers were actually executing in the classroom, this study used a valid online survey administrated through Qualtrics. The survey focused on determining third - through fifth - grade teachers’ definition of a problem, their …

Teaching Algebra: A Comparison Of Scottish And American Perspectives, Brittany Munro

Undergraduate Honors Theses

A variety of factors influence what teaching strategies an educator uses. I analyze survey responses from algebra teachers in Scotland and Appalachia America to discover how a teacher's perception of these factors, particularly their view of mathematics itself, determines the pedagogical strategies employed in the classroom.

Common Core Math And Critical Reasoning, Lorna M. Hayman

Dissertations, Masters Theses, Capstones, and Culminating Projects

This teacher research action study compared the performance of students in mathematical critical reasoning for selected strands of math under the new Common Core Math Standards with their performance under the old California State Standards. Student scores from in-class tests and quizzes were comparatively analyzed over the duration of a year in one sixth grade classroom in Northern California. Findings from this study indicated a minimal increase in the critical reasoning skills of the students under the Common Core Standards when compared to the California State Standards. The results of the study imply that there is a need for longitudinal …

Community College Student Achievement In Web Based Software-Enhanced Developmental Mathematics Courses, Andrew Mark Aberle

Graduate Theses and Dissertations

The purpose of this causal-comparative study was to compare the performance of students receiving web based software-enhanced instruction with the performance of students receiving lecture only instruction in terms of retention rates, success rates, test grades, and final exam scores for developmental mathematics courses at Ozarks Technical Community College. The researcher randomly selected 250 participants from the population of students experiencing software-enhanced instruction during the 2012-2013 academic year and 250 participants from the population of students experiencing lecture only instruction during the 2010-2011 academic year. Several demographic variables were compared to control for intervening variables. The sample data was tested …

The Relationship Between Students’ Applied Mathematics Skills And Students’ Attitudes Towards Mathematics, Taylor Andrew Kilman

Dissertations

Mathematics is a subject with which many students struggle. It has been noted that students’ attitudes towards mathematics can often affect their performance in related courses. The goal of this research is to explore the relationship between students’ basic applied mathematics skill and students’ attitudes towards mathematics. That is, do students, as they learn how to use mathematics in the real world, tend to develop a more favorable outlook towards mathematics? Or, on the other hand, do the attitudes towards mathematics of students remain unaffected as their ability to use mathematics in the real world increases? The current research seeks …

Loewner Space-Filling Curves, Hannah Marie Clark

Chancellor’s Honors Program Projects

No abstract provided.

Mathematical Modeling And Optimal Control Of Alternative Pest Management For Alfalfa Agroecosystems, Cara Sulyok

Mathematics Honors Papers

This project develops mathematical models and computer simulations for cost-effective and environmentally-safe strategies to minimize plant damage from pests with optimal biodiversity levels. The desired goals are to identify tradeoffs between costs, impacts, and outcomes using the enemies hypothesis and polyculture in farming. A mathematical model including twelve size- and time-dependent parameters was created using a system of non-linear differential equations. It was shown to accurately fit results from open-field experiments and thus predict outcomes for scenarios not covered by these experiments.

The focus is on the application to alfalfa agroecosystems where field experiments and data were conducted and provided …

Fostoria Intermediate Elementary School Family Math Night, Chelsea Nye

Honors Projects

This is a Family Math Night that was planned and held at Fostoria Intermediate Elementary School in Fostoria, Ohio. It includes the Research Questions, Literature Review, Proposed Activity, Methodology, and Expected Results as well as the Annotated Bibliography and Timeline for Completion from my research and planning. Following the Proposal are 20 mathematical activity or game lesson plans and direction sheets that were planned for the Family Math Night. There are 5 different mathematical activities or games for each grade level 3-6, each meeting a different domain in the Common Core State Standards. At the end there is two general …

Action Research: Reflective Journaling Within Middle Grades Mathematics Classroom, Larissa Van Der Molen

Honors Projects

Reflective journaling within a middle grades mathematics classroom offers great potential as a practice for both educators and students. This paper examines the previous work that has been completed while also exploring the effectiveness of the practice in a fifth grade math classroom. The research shows that while implementing reflective journaling in a math classroom is time consuming, the benefits of opening lines of communication between pupil and teacher and improving the student learning experience outweigh the negatives. This study focuses on a fifth grade math class composed of 26 students who wrote daily in their journals. The data discussed …

Incorporating Literacy Strategies In High School Courses: Implications For Implementing Common Core Standards, Bethlehem Cayetano

Capstone Projects and Master's Theses

With increased attention to critical thinking and problem solving required by the Common Core State Standards, secondary math teachers face challenges in regards to integrating literacy skills into the math curriculum. Without an infusion of literacy skills students will be unable to handle the conceptual requirements mandated by the new standards. The study will apply two different literacy strategies in a mathematics secondary classroom setting in which students will be surveyed in order to see if they found the literacy strategies effective in helping them communicate their mathematical ideas both orally and written. The study will attempt to ascertain what …

The Gender Gap In Math – Incorporating Gender Equity In The High School Mathematics Classroom, Ryan Sullivan

Capstone Projects and Master's Theses

Researchers have been analyzing the difference in performance between female and male math students since it was first documented in the 1950s. The issue of male students disproportionately outperforming their female counterparts, also known as the math gender gap, has been studied extensively over the last few decades with researchers attempting to understand what contributes to math gender gaps and how they can be closed. This study examined the current state of the math gender gap, how teachers incorporate gender equity into their practices, and the attitudes and beliefs of students in relation to math by conducting a three-part classroom …

Inside Out: Properties Of The Klein Bottle, Andrew Pogg, Jennifer Daigle, Deirdra Brown

Thinking Matters Symposium Archive

A Klein Bottle is a two-dimensional manifold in mathematics that, despite appearing like an ordinary bottle, is actually completely closed and completely open at the same time. The Klein Bottle, which can be represented in three dimensions with self-intersection, is a four dimensional object with no intersection of material. In this presentation we illustrate some topological properties of the Klein Bottle, use the Möbius Strip to help demonstrate the construction of the Klein Bottle, and use mathematical properties to show that the Klein Bottle intersection that appears in ℝ3 does not exist in ℝ4. Introduction: Topology

Hurwitz's Theorem, Marianna Malek

Masters Essays

No abstract provided.

Mathematical Explorations Of Card Tricks, Timothy R. Weeks

Senior Honors Projects

In this project, we explore various mathematical topics as they apply to an assortment of card tricks. We will focus on an examination of theorems applied to the manipulation of cards in an attempt to prove why certain card tricks work. These theorems utilize abstract algebra, probability, number theory, and combinatorics. Many tricks can be explained this way, instead of singularly by sleight of hand or other “magical” methods. We will rigorously prove the theorems and principles that explain these concepts, focusing primarily on the card tricks and examples presented in Mathematical Card Magic by Colm Mulcahy (2013).