### Theses from 2023

Understanding and Advancing College Students' Mathematical Reasoning Using Collaborative Argumentation, Rachel Kay Heili

Geometric Dissections, Daniel Robert Martin

On Covering Groups With Proper Subgroups, Collin B. Moore

### Theses from 2022

Dot Product Bounds in Galois Rings, David Lee Crosby

On the Chromatic Numbers of Subgroup Lattices, Jacob C. Miles

### Theses from 2021

Proper Sum Graphs, Austin Nicholas Beard

Finite Groups in Which the Number of Cyclic Subgroups is 3/4 the Order of the Group, James Alexander Cayley

Implementing Instructional Scaffolding to Support Secondary Students' Abilities to Write Mathematical Explanations, Camry J. Cowan

On the Hamiltonicity of Subgroup Lattices, Nicholas Charles Fleece

Elliptic curves and their Practical Applications, Henry H. Hayden IV

On Elliptic Curves, Montana S. Miller

Stability Theory of Nonlinear Differential Equations, Jiaxiao Wei

### Theses from 2020

The Game of Cops and Robbers on Planar Graphs, Jordon S. Daugherty

Transitioning from the Abstract to the Concrete: Reasoning Algebraically, Andrea Lynn Martin

### Theses from 2019

Student Discourse and Problem Solving in a High School Mathematics Classroom, Natalie J. Chism

Groups Satisfying the Converse to Lagrange's Theorem, Jonah N. Henry

Posing Purposeful Questions in a Mathematics Tutoring Setting, Sara Elaine Jones

Ridge Regression and Lasso Estimators for Data Analysis, Dalip Kumar

Prediction of High School Graduation with Decision Trees, Andrea M. Lee

Decision Trees and Their Application for Classification and Regression Problems, Obinna Chilezie Njoku

Survey of Lebesgue and Hausdorff Measures, Jacob N. Oliver

Seasonal Time Series Models with Application to Weather and Lake Level Data, Mengqing Qin

The Frenet Frame and Space Curves, Catherine Elaina Eudora Ross

Elements of Functional Analysis and Applications, Chengting Yin

### Theses from 2018

The Successes and Challenges of Using Worked Examples to Integrate MP7: Look for and Make Use of Structure, Jennifer Lynn Barnes

The Average Measure of a k-Dimensional Simplex in an n-Cube, John A. Carter

Energy Calculations and Wave Equations, Ellen R. Hunter

Affine and Projective Planes, Abraham Pascoe

Handwritten Digit Recognition by Multi-Class Support Vector Machines, Yu Wang

### Theses from 2017

Residues, Bernoulli Numbers and Finding Sums, Mohammed Saif Alotaibi

Survival Analysis: A Modified Kaplan-Meir Estimator, Justin A. Bancroft

On the Existence of Bogdanov-Takens Bifurcations, Zachary Deskin

Engaging Students in Authentic Mathematical Discourse in a High School Mathematics Classroom, Whitney Ann Evans

Support Vector Machine and Its Application to Regression and Classification, Xiaotong Hu

The Successes And Challenges Of Utilizing Geogebra To Integrate MP5: Use Appropriate Tools Strategically, David Scott Matthews II

Cayley Graphs of Groups and Their Applications, Anna Tripi

### Theses from 2016

When There Is A Unique Group Of A Given Order And Related Results, Haya Ibrahim Binjedaen

Using Relevance To Inspire Engagement In Disengaged Secondary Mathematics Students, Cherie Lynn Burkett

On The Number Of Distinct Cyclic Subgroups Of A Given Finite Group, Joseph Dillstrom

A Geometric Approach To Ramanujan's Taxi Cab Problem And Other Diophantine Dilemmas, Zachary Kyle Easley

Solving Boundary Value Problems On Various Domains, Ibraheem Otuf

Practicing Positive Coping Strategies For Managing Math Anxiety In A Secondary Mathematics Classroom, Courtney Kathleen Smith-Nelson

A Cycle Generating Function On Finite Local Rings, Tristen Kirk Wentling

### Theses from 2015

Using Middle School Assessment Scores as a Predictor of High School Math Success: A Correlational Study of Assessment Data, Adam James Erickson

The Characteristic Polynomial of the Laplacian Matrix of Certain Zero-Divisor Graphs, William A. Jones

Comparing Verbal Versus Video Instructions in a Geometry Honors Classroom, Scott Charles Neeman

Aspects of Fourier Analysis on Euclidean Space, Joseph William Roberts

Vitis Gene Expression Profiling Using Mixed Models, Yin Yin

### Theses from 2014

Finitely Generated Abelian Groups and Bases for Finitely Generated Modules Over Principal Ideal Domains, Shuruq Ali Alghamdi

A Study of the Impact of Metacognitive Prompting on Student Achievement in Developmental Algebra, Emily Sulaine Babusa

Distributions and Applications to Partial Differential Equations, Stephen Clair Dickey

An Action Research Study on Systematic Note-Taking in a Beginning Algebra I Course, Lindsey July Erickson

Groebner Bases, Amy Eva Fitzpatrick

Multivariate Hypothesis Testing and Applications of Discriminant Analysis, Katelin Lea Strand

Technology Use in the Mathematics Classroom and How Teachers' Beliefs about Technology Impacts That Usage, Laura M. Thieman

### Theses from 2013

A Method of Kernel Regression, Rebekah Elizabeth Austin

Quadric Surfaces, Michael Robert Finnegan

Applications of Splines in Nonparametric Regression, Rosemary Dee Sherwood Green

Markov Chain Monte Carlo With Application to Image Denoising, Jakub Michel

Mathematical Origami and Conic-Constructibility, Sarah Kate Rodrigues

### Theses from 2012

A Study of Mathematical Reasoning and Sense-Making in a General Education Mathematics Course, Brian Benjamin Barnhouse

The Set of Powers in a Group, Caleb A. Bennett

Geometric Techniques for Solving a Certain Diophantine Equation, Christina P. Bisges

Log Linear Models in Categorical Data Analysis, Elena Antonia Castanada

Group Theory Underlying the 3x3x3 and 5x5x5 Rubik's Cubes, Kristen Michelle Howell

Bernstein Polynomials and Their Applications, Cody Ryann Lawson

Bayesian Inference in Linear Regression Models, Shucen A. Liu

Stability and Bifurcation Analysis of Two Predator-Prey Models With Refuge and Threshold Harvesting, Justin Scott Ricklefs

Dynamics and Bifurcations in Variable Biological Two Species Interaction Models Implementing Piecewise Linear Alpha-Functions, Katharina Voelkel

Least Absolute Deviation Regression by Iterative Weighted Median and Functional Gradient Descent, Shennan Ye

### Theses from 2011

Some Methods of Linkage Analysis, Aaron Nathaniel Baker

Autonomous Systems and the van der Pol Equation, Robert S. Brown

Context-Based Instruction: A Study on Learning, Retention and Affective Measures, Jeffrey Burgess

Teaching Effectiveness Among Graduate Student Teaching Assistants in Mathematics, Anthony James Fraticelli

A Mathematical Analysis of the Lights Out Puzzle, Rima J. Freeman

Sets of Lengths Over Residue Class Rings of the Integers, Daniel B. Kline

A Study of the Effect of Peer Tutoring on the Retention Rate and Grades of Undergraduate Mathematics Students, Jacob L. Lewellen

Group-Theoretical Aspects of a Family of Puzzles, Anna Marie Madras

An Introduction to Uniform Distribution Modulo 1, Stacy Jo Robinson

The Gauge Integral and Its Connection to the Lebesgue Integral, Andrew Thomas Swift

Extreme Values of Random Sequences, Li Zhang

### Theses from 2010

Bessel Functions and Their Applications, Drew DeJarnette

Maximum Dimension Of Nonsingular Subspaces Of Mn(F), Stephen Anthony Parry

Estimation of Survival Probabilities, Kimberly Justine White

### Theses from 2009

A Survey of Online Collaborative Experiences and Habits and How They Impact the Secondary Math Classroom, Jonathan Adams

Hamiltonian Subgroup Graphs, Immanuel David McLaughlin

Statistical Evaluation of an Experimental Design Examining Cognitive Dissonance, Kathleen Lynn Schmidt

Statistical Evaluation of an Experimental Design Examining Cognitive Dissonance, Kathleen Lynn Schmidt

Convergence and the Lebesgue Integral, Ryan Vail Thomas

### Theses from 2008

Max Noether's Fundamental Theorem, Jacob Aaron Boswell

Rings of Invariants of Finite Groups, Dianne Michelle Twigger

Bourbaki Ideals, Carrie A. Whittle

### Theses from 2007

Dynamic Geometry and Its Effects on Geometric Reasoning in Terms of Van Hiele Levels, Jesse E. Hiett

Effects of Student-Teacher Relationships on Student Achievement and Self-Efficacy, Andrea Horn

Gender Differences in Spatial Ability: A Mixed-Methods Investigation of the Solution Strategies Used by Boys and Girls to Solve Problems Involving Spatial Tasks, Melissa Marie Wittmer

### Theses from 2006

Some Probabilistic Topics in Finite Group Theory, Christie Dawn T. Bowerman

Planar Zero-Divisor Graphs, Jeremy M. Chapman

Nonlinear Regression Modeling of Data Employing the Gauss-Newton Method, Michael William Edwards

A Study of Project-Based Education and Real World Application in Mathematics, Sarah Garrison