All dissertations completed at Western Michigan University are entered into ScholarWorks. Some may be embargoed or restricted by the authors and may be only available from on-campus computers. Print copies are available through interlibrary loan for dissertations before 2013. If you have any questions, please contact maira.bundza@wmich.edu.

#### Theses/Dissertations from 2018

Graceful Colorings and Connection in Graphs, Alexis D. Byers

Probabilistic and Extremal Problems in Combinatorics, Sean English

Induced Graph Colorings, Ian Hart

Edge Induced Weightings of Uniform Hypergraphs and Related Problems, Laars C. Helenius

The Bellringer Sequence: Investigating What and How Preservice Mathematics Teachers Learn Through Pedagogies of Enactment, Mary A. Ochieng

No-Arbitrage Principle in Conic Finance, Mehdi Vazifedan

#### Theses/Dissertations from 2017

Structures of Derived Graphs, Khawlah Hamad Alhulwah

Highly Hamiltonian Graphs and Digraphs, Zhenming Bi

Color-Connected Graphs and Information-Transfer Paths, Stephen Devereaux

#### Theses/Dissertations from 2016

Resolving Classes and Resolvable Spaces in Rational Homotopy Theory, Timothy L. Clark

Pedagogical Moves as Characteristics of One Instructor’s Instrumental Orchestrations with Tinkerplots and the TI-73 Explorer: A Case Study, James L. Kratky

Chromatic Connectivity of Graphs, Elliot Laforge

#### Theses/Dissertations from 2015

Edge Colorings of Graphs and Their Applications, Daniel Johnston

Spectrally Equivalent Matrix Polynomials: Non-Standard Representations and Preservation of Structure, Vasilije Perovic

Phantom Maps, Decomposability, and Spaces Meeting Particular Finiteness Conditions, James Schwass

Secondary Mathematics Teachers’ Attitudes and Beliefs Toward Statistics: Developing an Initial Profile, Christina M. Zumbrun

#### Theses/Dissertations from 2014

On Eulerian Irregularity and Decompositions in Graphs, Eric Andrews

Elementary School Teachers’ Use of Curricular Resources for Lesson Design and Enactment, Napthalin Achubang Atanga

Lie Loops Associated With GL(ℋ), ℋ A Separable Infinite Dimensional Hilbert Space, Alper Bulut

A Deeply Digital Instructional Unit on Binomial Distributions and Statistical Inference: A Design Experiment, Alden Jack Edson

A Method for Assessing and Describing the Informal Inferential Reasoning of Middle School Students, Joshua Michael Goss

Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on Manifolds, Robert J. Kipka

Modular Monochromatic Colorings, Spectra and Frames in Graphs, Chira Lumduanhom

Eliciting Elementary School Students’ Informal Inferential Reasoning through Storytelling, Dustin Owen Smith

#### Theses/Dissertations from 2013

Classifying Spaces of Symmetric Groups and Wreath Products, David Louis Arnold

A Pattern in the Lusternik-Schnirelmann Category of Rational Spaces, Julie Dare Houck

Weighted Shifts of Finite Multiplicity, Daniel S. Sievewright

#### Theses/Dissertations from 2012

Characterizing and Supporting Change in Algebra Students' Representational Fluency in a CAS/Paper-and-Pencil Environment, Nicole L. Fonger

Patterns of Interaction and Mathematical Thinking of High School Students in Classroom Environments that Include Use of JAVA-based, Curriculum-Embedded Software, Karen L. Fonkert

The Domination Number of K_{α}□K_{b}□K_{c}□, Jianwei Lin

Boolean and Profinite Loops, Benjamin Andrew Phillips

#### Theses/Dissertations from 2011

Modular and Graceful Edge Colorings of Graphs, Ryan Jones

Hamiltonicity and Connectivity in Distance-Colored Graphs, Kyle C. Kolasinski

#### Theses/Dissertations from 2010

The k-Cores of a Graph, Allan Bickle

Option Pricing and Stable Trading Strategies in the Presence of Information Asymmetry, Anirban Dutta

#### Theses/Dissertations from 2008

Understanding Similarity: Bridging Geometric and Numeric Contexts for Proportional Reasoning, Dana Christine Cox

High School Mathematics Teachers' Evolving Understanding of *Comparing Distributions*, Sandra R. Madden

#### Theses/Dissertations from 2007

What Allows Teachers to Extend Student Thinking during Whole-Group Discussions, Nesrin Cengiz

The Fock Space and Related Bergman Type Integral Operators, Ovidiu Furdui

Measures of Travers Ability in Graphs, Futaba Okamoto

#### Theses/Dissertations from 2006

Detectable Coloring of Graphs, Henry E. Escuadro

Nilpotent Orbits on Infinitesimal Symmetric Spaces, Joseph A. Fox

The Effect of Using a Video-Case Curriculum to Promote Preservice Teachers’ Development of a Reflective Stance Towards Mathematics Teaching, Shari L. Stockero

#### Theses/Dissertations from 2005

Structure Preserving Algorithms for Computing the Symplectic Singular Value Decom Position, Archara Chaiyakarn

Stratification and Domination in Graphs and Digraphs, Ralucca M. Gera

Global Optimality Conditions in Mathematical Programming and Optimal Control, Pariwat Pacheenburawaa

#### Theses/Dissertations from 2004

Two High School Teachers’ Initial Use of Geometers Sketchpad: Issues of Implementation, Kathryn G. Shafer

#### Theses/Dissertations from 2003

Multiobjective Optimal Control Problems with Endpoint and State Constraints, Kirsty J. Eisenhart

How Secondary School Mathematics Teachers Construct an Understanding of "Appropriate Use" of Graphing Calculators in the Context of Collegial Inquiry, Marcia L. Weller Weinhold

#### Theses/Dissertations from 2002

Separable Preference Orders, Jonathan K. Hodge

Resolvability in Graphs, Varaporn Saenpholphat

Local Symmetries of Symmetrical Cayley Maps, Paula T. Smith

#### Theses/Dissertations from 2001

Learning to Construct Proofs in a First Course on Mathematical Proof, Peter R. Atwood

Changing Mathematical Discourse: A Case Study of a Secondary Mathematics Teacher, Mary Lynn Breyfogle

Cost Domination in Graphs, David John Erwin

#### Theses/Dissertations from 2000

An Investigation into Relationships between Alternative Assessment and Pre-Service Elementary Teachers’ Beliefs about Mathematics, David Charles Coffey

#### Theses/Dissertations from 1999

Students’ Conceptions of Mathematics and the Transition from a Standards-Based Reform Curriculum to College Mathematics, Rebecca K. Walker

#### Theses/Dissertations from 1998

Perturbed Hamiltonian System of Two Parameters with Several Turning Points, Myeong Joon Ann

Fostering Reflective Thinking in First-Semester Calculus Students, Pamela Crawford

Surface Models of Finite Geometries, Ramon Manuel Figueroa-Centeno

A Generalization of Cayley Graphs for Finite Fields, Dawn M. Jones

Units in Integral Group Rings for Direct Products, Richard M. Low

The Effects of Writing Assignments on Second-Semester Calculus Students' Understanding of the Limit Concept, Melanie A. Wahlberg

#### Theses/Dissertations from 1997

Estimating IBNR Reserves with Robust Statistics, Daniel Cheung

Domination in Digraphs, Lisa Hansen

A Portrait of Assessment in Reformed Mathematics Classrooms, James R. Kett

A Robust Estimate for an Autoregressive Time Series, Jeffrey Terpstra

#### Theses/Dissertations from 1996

Gender Discourse in Small Learning Groups of College-Level Developmental Mathematics Students, Allen W. Emerson

A Graph Theoretic Study of the Similarity of Discrete Structures, Heather D. Gavlas

Integrity of Digraphs, Robert Charles Vandell

Statistical Graphics: Applications to the R and GR Methods in Linear Models, Mei Huang Wang

#### Theses/Dissertations from 1995

Semi-Strongly Regular Graphs and Generalized Cages, Cong Fan

Step Domination in Graphs, Kelly Lynne Schultz

Probability Polynomials for Cubic Graphs in the Framework of Random Topological Graph Theory, Esther Joy Tesar

Asymptotic Diagonalizations of a Linear Ordinary Differential System, Feipeng Xie

#### Theses/Dissertations from 1994

High Breakdown Rank-Based Estimates for Linear Models, William H. Chang

A Bootstrap Method to Analyze an Intervention Model with Autoregressive Error Terms, Scott D. McKnight

Comparisons of Several Medians in a Lognormal K-Sample Context Where Some Data May be Left-Censored, Stavros Costa Pouloukas

The Theory and Applications of Stratified Graphs, Reza Rashidi

Isospectral Graphs and the Expander Coefficient, Ian Campbell Walters Jr.

#### Theses/Dissertations from 1993

Robust Rank-Based Inference Procedures in the Heteroscedastic Linear Model, Sherry L. Dixon

Symbol Sense and Its Development in Two Computer Algebra System Environments, Brian A. Keller

Distances Associated with Subgraphs and Subdigraphs, Steven John Winters

#### Theses/Dissertations from 1992

Common Moment Sets of Complementary Graphs, Hang Chen

Maximal and Maximum Independent Sets in Graphs, Jiuqiang Liu

A Critical Examination of the Use of Preliminary Tests in Two-Sample Tests of Location, Kimberly Tucker Perry

Multivariate Quadrature on MIMD Machines with Shared or Distributed Memory, Ignatios E. Vakalis

#### Theses/Dissertations from 1991

Surgical Techniques for Constructing Minimal Orientable Imbeddings of Joins and Compositions of Graphs, David L. Craft

A Representation of Chemical Reactions by Labeled Graphs, Héctor Hevia

Transformations of Graphs and Digraphs, Elzbieta B. Jarrett

Rank Procedures for the Logistic Model, Hung-Ir Li

#### Theses/Dissertations from 1990

Graph Products and Covering Graph Imbeddings, Ghidewon Abay Asmerom

Enumerating the Orientable 2-Cell Imbeddings of Complete N-Partite Graphs, Bruce P. Mull

Improving Networks Reliability, Jamal H. Nouh

The Enumeration of Graph Imbeddings, Robert G. Rieper

Shape Preserving Piecewise Cubic Interpolation, Thomas Bradford Sprague

On Distance in Graphs and Digraphs, Songlin Tian

#### Theses/Dissertations from 1989

Specified Subgraphs and Subgraph-Defined Parameters in Graphs, Karen S. Holbert