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Parents' Experiences At A Mathematics Workshop Focused On K-2 Content, Abigail W. Wilkerson Apr 2024

Parents' Experiences At A Mathematics Workshop Focused On K-2 Content, Abigail W. Wilkerson

Honors College Theses

Parents’ beliefs towards math have been shown to impact their children’s academic achievement in the subject (Elliott & Bachman, 2018; Maloney et al., 2015). With the constant changing of math standards, the math taught in today’s schools may be different from the way parents were taught math. This change can lead to feelings of discomfort or nervousness when the subject is brought up. A parent workshop geared towards helping parents better understand the way math content is being taught can help them to feel more comfortable with math and more prepared to help their children. To help combat this issue, …


Counting Conjugates Of Colored Compositions, Jesus Omar Sistos Barron Jan 2024

Counting Conjugates Of Colored Compositions, Jesus Omar Sistos Barron

Honors College Theses

The properties of n-color compositions have been studied parallel to those of regular compositions. The conjugate of a composition as defined by MacMahon, however, does not translate well to n-color compositions, and there is currently no established analogous concept. We propose a conjugation rule for cyclic n-color compositions. We also count the number of self-conjugates under these rules and establish a couple of connections between these and regular compositions.


“I’M Not Good At Math”: Mathematical Illiteracy And Innummeracy In The United States, G. Wesley Rogers Jan 2017

“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 …


Teacher Influence On Elementary School Students’ Participation In Science, Technology, Engineering, And Mathematics, Courtney Hartman Jan 2015

Teacher Influence On Elementary School Students’ Participation In Science, Technology, Engineering, And Mathematics, Courtney Hartman

Honors College Theses

The purpose of this study is to explore the influence of elementary school teachers on encouraging students’ interest and participation in Science, Technology, Engineering, and Mathematics. The researcher sought to understand what methods teachers use in their classrooms to encourage students to participate in STEM subjects and programs. This mixed methods study consisted of a questionnaire to collect quantitative data, as well as an interview of selected teachers who participated in the questionnaire to collect qualitative data. The data was analyzed to determine the overall perceptions of teachers regarding the importance of encouraging students to participate in STEM. The qualitative …


Classworks As A Means To Gaining Equity In The General Education Math Classroom: Perceptions Of Students Receiving Special Education Services, Diane Marshall Jan 2014

Classworks As A Means To Gaining Equity In The General Education Math Classroom: Perceptions Of Students Receiving Special Education Services, Diane Marshall

Electronic Theses and Dissertations

With the importance of math steadily increasing, researchers in the field of special education have made efforts to increase the performance of students with disabilities (Fuchs et al., 2008; Gersten, Jordan, & Flojo, 2005). Despite the deficits these students face, the trend has been for many years that most students with disabilities in math receive their instruction in the general education classroom. The purpose of this study was to examine the perceptions that students receiving special education services have regarding the effectiveness of Classworks, a computer-assisted instructional program, in helping them gain equity in the general education math classroom. Critical …


Numerical Solutions To The Gross-Pitaevskii Equation For Bose-Einstein Condensates, Luigi Galati Jan 2013

Numerical Solutions To The Gross-Pitaevskii Equation For Bose-Einstein Condensates, Luigi Galati

Electronic Theses and Dissertations

In this thesis we compare various potential operators for the two-dimensional (2D) Gross-Pitaevskii equation (GPE) for Bose-Einstein condensates. Both the 2D and the 1D models are scaled to get a three parameter model. Smoothness of initial conditions is considered and choice of method (Split-Step Fourier method with Strang Splitting) is justied. Numerical simulations provide graphical evidence of properties of both focusing and nonfocusing cases.


Integer Compositions, Gray Code, And The Fibonacci Sequence, Linus Lindroos Oct 2012

Integer Compositions, Gray Code, And The Fibonacci Sequence, Linus Lindroos

Electronic Theses and Dissertations

In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf's Theorem, and generating functions.


The Diver's Distance, Aristide Zezouma Sanou May 2012

The Diver's Distance, Aristide Zezouma Sanou

Electronic Theses and Dissertations

The visual assessment of clustering tendency (VAT) method, which was developed by J. C. Bezdek, R. J. Hathaway and J. M. Huband uses a reordering of the rows and columns of a dissimilarity matrix; it then displays the ordered dissimilarity matrix (ODM) as a 2D gray-level image called an ordered dissimilarity image (ODI). Al- though successful in determining potential clustering structure of various data sets, the technique offers room for improvement. In this thesis, we propose a new proximity measure called the diver's distance which is defined based on concepts in graph theory. We then theoretically study the diver's distance …


Precovering Dgc-Complexes, Jonathan G. Crosby May 2012

Precovering Dgc-Complexes, Jonathan G. Crosby

Electronic Theses and Dissertations

In this thesis we prove that with the hypotheses that dg e C is injectively resolving and that the class C is closed under arbitrary direct limits we have that the following are equivalent to dgC being covering: Every complex of C-modules is in dg e C and every exact complex of C-modules is in e C.


Analysis Of The Family Of Generalized Cumulative Sum Type Control Charts, Wenmin Wang May 2012

Analysis Of The Family Of Generalized Cumulative Sum Type Control Charts, Wenmin Wang

Electronic Theses and Dissertations

As an aid to the practitioners, various Phase II quality control charts have been developed to monitor for a change in the parameters of the distribution of a quality measurement. In this project, the family of generalized cumulative sum type charts was studied. An equivalent chart version that requires fewer parameters was given. Some useful integral equations were derived for determining the run length distribution of the lower and upper one-sided charts. The Markov chain methods were also given. The parameters unknown version was presented and the performance analysis was studied for the chart for monitoring for a change in …


Compact Filters And The Arzelá-Ascoli Theorem, Nathan Denton Farmer May 2012

Compact Filters And The Arzelá-Ascoli Theorem, Nathan Denton Farmer

Electronic Theses and Dissertations

The Arzelà-Ascoli Theorem gives conditions for a set to be compact in a function space, and is a useful theorem for existence proofs in many different mathematical contexts. The most natural structure for Arzelà-Ascoli type theorems is the continuous convergence - which is not necessarily topological even if the underlying base spaces are. Compact filters, on the other hand, are the logical extension of compact sets to filters with similar compactness-type properties. Compact filters have proved to be a useful tool in optimization and analysis. This thesis will show conditions for a filter to be compact on a function space, …


Equal Or Not? An Exploration Of Eighth-Grade Students' Experience Of Algebra, Janice L. Reyes Jan 2012

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 …


Survey Of Generalized Contact Structures, James Bland May 2010

Survey Of Generalized Contact Structures, James Bland

Electronic Theses and Dissertations

A generalized complex structure, as introduced by N. Hitchin, is a common generalization of both symplectic and complex structures. Generalized complex geometry provides a natural geometric framework to understand certain recent developments in string physics, and has developed into an active area of research. Very recently, an odd dimensional analogue of a generalized complex structure, namely a generalized contact structure, has been introduced in the works of Vaizman, Poon and Wade. In this thesis, we survey the recent works on generalized contact structures. More importantly, we prove a local normal form theorem of a generalized contact structure. This result, which …


Examining Roberts County Mathematics Teachers' Beliefs Regarding The Nature Of Mathematics And Their Classroom Learning Environment, Elizabeth P. Brechin-Harrison Jul 2008

Examining Roberts County Mathematics Teachers' Beliefs Regarding The Nature Of Mathematics And Their Classroom Learning Environment, Elizabeth P. Brechin-Harrison

Electronic Theses and Dissertations

The purpose of this study was to examine the relationship of mathematics teachers beliefs regarding the nature of mathematics and their classroom learning environment in Roberts County (fictional). The study investigated 165 kindergarten through twelfth grade mathematics teachers that taught at least one segment of mathematics a day. The researcher administered three surveys: the Teacher Beliefs Survey (developed by Beswick, 2005), the Constructivist Learning Environment Survey (developed by Taylor, Fraser, and Fisher, 1997) and a demographics survey to mathematics teachers at 35 schools. Data analysis included calculating the sub-scale means of each survey, a Pearson correlation, and Analysis of Variance …


Preparation For High School Mathematics Reform In The Northeast Georgia Resa District: A Stage Of Concerns Approach To Examining Professional Learning, Kay Smith Haugen May 2008

Preparation For High School Mathematics Reform In The Northeast Georgia Resa District: A Stage Of Concerns Approach To Examining Professional Learning, Kay Smith Haugen

Electronic Theses and Dissertations

The purpose of this study was two-fold. The first purpose was to examine the longitudinal concerns of a cohort of high school mathematics teachers in the Northeast Georgia Regional Educational Services Agency (RESA) district about implementation of the Georgia Performance Standards. The second purpose was to explore relationships among their Stages of Concerns profiles, demographic factors, and professional learning experiences provided by institute instructors. The study examined Implementation of Georgia Performance Standards in High School Mathematics as a change innovation using the Concerns-Based Adoption Model. The study utilized a mixed methods timeseries research design. Quantitative data were collected using the …