Education Commons^™

Using Game Theory To Model Tripolar Deterrence And Escalation Dynamics, Grace Farson

Honors Theses

The study investigated how game theory can been utilized to model multipolar escalation dynamics between Russia, China, and the United States. In addition, the study focused on analyzing various parameters that affected potential conflict outcomes to further new deterrence thought in a tripolar environment.

A preliminary game theoretic model was created to model and analyze escalation dynamics. The model was built upon framework presented by Zagare and Kilgour in their work ‘Perfect Deterrence’. The model is based on assumptions and rules set prior to game play. The model was then analyzed based upon these assumptions using a form of mathematical …

Utilizing Markov Chains To Estimate Allele Progression Through Generations, Ronit Gandhi

Honors Theses

All populations display patterns in allele frequencies over time. Some alleles cease to exist, while some grow to become the norm. These frequencies can shift or stay constant based on the conditions the population lives in. If in Hardy-Weinberg equilibrium, the allele frequencies stay constant. Most populations, however, have bias from environmental factors, sexual preferences, other organisms, etc. We propose a stochastic Markov chain model to study allele progression across generations. In such a model, the allele frequencies in the next generation depend only on the frequencies in the current one.

We use this model to track a recessive allele …

Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams

Honors Theses

Piccirillo recently discovered a process that can be applied to an unknotting number one knot to convert it into a different knot called a Piccirillo dual. Piccirillo duals have been shown to have the same n-trace and the same sliceness. However, exploration and knowledge of this process is limited. We were able to generate the Piccirillo duals for several low-crossing number knots. We offer the foundation for and explain how to follow the Piccirillo process and generate Piccirillo duals. This talk assumes little knowledge of knot theory and concisely gives newcomers a clear introduction to get started working with Piccirillo …

A Mathematical Model Of Pancreatic Cancer Growth And Response To Treatment, Allison Cruikshank

Honors Theses

Pancreatic cancer is one of the leading causes of death due to cancer in the United States. Analyzing the effects of radiation is extremely valuable in determining when a patient is allowed surgical resection, which is, presently, the only potentially curative treatment for pancreatic cancer. This study examines pancreatic tumor growth and shrinkage to predict tumor response and change of resectability for pancreatic cancer patients undergoing radiation therapy. This is done using ordinary differential equations as a mathematical model. Mathematical models have increasingly been applied to various biological systems/processes to analyze the principles involved. In our project, a population dynamical …

Stem Opportunities - High School 2019, Huey-Xian Kelly Wong, Madeleine Rauhauser, Annie Morgan Nelson

Honors Expanded Learning Clubs

This publication details the lesson plan for the “Opportunities in STEM” club for the summer of 2019. This club began out of a desire to educate high school students about the opportunities and careers available in the science, technology, engineering, and mathematics fields. Often, students feel that the prospect of entering a STEM field is daunting and out of their grasp. What it means to be a scientist is often unclear, and students never consider opportunities out of the fear of the unknown, particularly when science is associated with complexity and difficulty. This lesson plan integrates experiments with a wealth …

Understanding The Impact Of Peer-Led Workshops On Student Learning, Afolabi Ibitoye, Nadia Kennedy, Armando Cosme

Publications and Research

As students we often wonder why some subjects are easy to understand and requires not much effort in terms of re-reading the material, for us to grasp what it entails. One subject seems to remain elusive and uneasy for a vast majority of learners at all levels of education; that subject is Mathematics, it is one subject that most learners finds difficult even after doubling the amount of time spent on studying the material. My intention is to explore ways to make Mathematics easier for other students using feedback from students enrolled in NSF mathematics peer leading workshops, and use …

A Phenomenological Study Of College Students In Developmental Mathematics Classes Experiences With Mathematics And Computer Anxiety, Dan Murphy

Doctoral Dissertations and Projects

No research has been conducted on college students in developmental mathematics classes struggling with both mathematics anxiety and computer anxiety in a qualitative manner. Prior studies have dealt with college students in developmental mathematics classes struggling with mathematics anxiety and college students in developmental mathematics classes struggling with computer anxiety. The purpose of this transcendental phenomenological study was to describe the experiences of students taking developmental mathematics who self-report both mathematics anxiety and computer anxiety. The theory guiding this study was the social cognitive theory by Bandura (1986) as modeling is a key component in the learning of mathematics, especially …

The Relationship Between Elementary Teachers' Background In Mathematics, Teaching Self-Efficacy, And Teaching Outcome Expectancy When Implementing The Common Core State Standards, Jennifer Stuart

Doctoral Dissertations and Projects

The purpose of this correlation study was to identify a possible relationship between elementary teacher background in mathematics as measured by completed college math credit hours, district-provided professional development hours of training in Common Core math standards, and years of teaching experience, and teacher efficacy in math as measured by personal teaching self efficacy and outcome expectancy. The sample in the present study consisted of 69 elementary (K-5) math teachers in a medium-sized semi-rural district located within a southern state. The data was collected using the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), an online survey that was sent to the …

The Effects Of Desmos And Ti-83 Plus Graphing Calculators On The Problem-Solving Confidence Of Middle And High School Mathematics Students, Edwin Montijo

Doctoral Dissertations and Projects

As technology in education continues to improve, research is necessary to assess the impact it is having on students’ confidence in the way students solve mathematics problems. The purpose of this quasi-experimental, non-equivalent control-group comparison study is to examine the impact the Desmos graphing calculator has on the problem-solving confidence of middle school and high school students as compared to students who use a TI-83 Plus graphing calculator while controlling for students’ math achievement scores. The students (N = 146) participating in this study were learning their respective mathematics material for an equivalent period of 12 weeks in order to …

How Math Avoidance Influences Degree Completion For Bible College Students: A Case Study Of A Small, Private Institution In Upstate New York, Bonnie Novak

Doctoral Dissertations and Projects

The purpose of this instrumental case study was to describe math perception and avoidance for ministerial undergraduate students at a small, private Bible college in upstate New York. In the research, math avoidance was generally defined as the participants’ perception of math, their delay in completing a credit-bearing math course until their senior year or not at all, and their own learning or degree completion as a result. The theories guiding this study were Tinto’s Retention Theory/Model of Institutional Departure, Bandura’s Social Cognitive Theory, and Estep’s Theory of Christian Formation. The central question was: How does math avoidance influence persistence …

Comparing The Effects Of Elementary Music And Visual Arts Lessons On Standardized Mathematics Test Scores, Molly King

Doctoral Dissertations and Projects

The purpose of this quantitative, causal-comparative study was to compare the effect elementary music and visual arts lessons had on third through sixth grade standardized mathematics test scores. Inferential statistics were used to compare the differences between test scores of students who took in-school, elementary, music instruction during the same semester state standardized mathematics tests were administered and those who took in-school, elementary visual arts instruction during the same semester standardized mathematics tests were administered. The students attended seven elementary schools in the same North Alabama school district. The research questions were: (a) Does participation in elementary school music lessons …

Middle School Student Perceptions Of Homework In Mathematics, Camille M. Thomas

Honors Scholar Theses

Homework has been a source of debate in schools for the past several decades and will continue to be an important topic in the future. It is a traditional part of education but some debate its importance in the classroom. This study explored student perception of homework and their reported performance in middle school mathematics. The research questions focused on student attitudes about homework, the relationship of students’ self-efficacy and support resources to their homework completion, and the relationship of students’ general level of achievement in mathematics to their attitudes about homework. The study involved a survey of 230 middle …

The Effects Of The Use Of Technology In Mathematics Instruction On Student Achievement, Ron Y. Myers

FIU Electronic Theses and Dissertations

The purpose of this study was to examine the effects of the use of technology on students’ mathematics achievement, particularly the Florida Comprehensive Assessment Test (FCAT) mathematics results. Eleven schools within the Miami-Dade County Public School System participated in a pilot program on the use of Geometers Sketchpad (GSP). Three of these schools were randomly selected for this study. Each school sent a teacher to a summer in-service training program on how to use GSP to teach geometry. In each school, the GSP class and a traditional geometry class taught by the same teacher were the study participants. Students’ mathematics …