Digital Commons Network^™

Using A Distributive Approach To Model Insurance Loss, Kayla Kippes

Student Research Submissions

Insurance loss is an unpredicted event that stands at the forefront of the insurance industry. Loss in insurance represents the costs or expenses incurred due to a claim. An insurance claim is a request for the insurance company to pay for damage caused to an individual’s property. Loss can be measured by how much money (the dollar amount) has been paid out by the insurance company to repair the damage or it can be measured by the number of claims (claim count) made to the insurance company. Insured events include property damage due to fire, theft, flood, a car accident, …

The Theatre Of Math: The Stage As A Tool For Abstract Math Education, Blaine Hudak

Honors Projects

So often in the education of Mathematics does instruction solely consist of the lecture. While this can be an effective method of communicating the ideas of math, it leaves much to be desired in gathering the interest and intrigue of those who have not dedicated their lives to the study of the subject. Theatre, by contrast, is a tool that has been used in the past as means of teaching complicated and difficult to understand moral and emotional subjects. While Theatre and Mathematics have been used in combination many times in the past, it is most often done in the …

Length Bias Estimation Of Small Businesses Lifetime, Simeng Li

Honors Theses

Small businesses, particularly restaurants, play a crucial role in the economy by generating employment opportunities, boosting tourism, and contributing to the local economy. However, accurately estimating their lifetimes can be challenging due to the presence of length bias, which occurs when the likelihood of sampling any particular restaurant's closure is influenced by its duration in operation. To address the issue, this study conducts goodness-of-fit tests on exponential/gamma family distributions and employs the Kaplan-Meier method to more accurately estimate the average lifetime of restaurants in Carytown. By providing insights into the challenges of estimating the lifetimes of small businesses, this study …

Investigating Correlations Among A Growth-Mindset Intervention, Students’ Math Anxiety, And Students’ Math Self-Efficacy, Anna Grace Chamberlain

Honors Projects

This paper details the methodology, data, and conclusions of a research study investigating the correlations among a growth-mindset intervention, math anxiety, and math self-efficacy. The study found that teaching students about mindset through an intervention approach did not make a significant difference in students’ math anxiety or math self-efficacy. Teacher-centered factors are discussed as having a greater impact on students’ math anxiety and math self-efficacy.

The Importance Of Implementing Literacy Strategies In A Mathematics Classroom, Lauren Tecca, Joanna Weaver, John Chen

Honors Projects

The purpose of this ACTION research study is to explore the influence of literacy on mathematical proficiency levels. The correlation will use the data to formulate some strategies for the classroom in order to increase confidence in both subject areas.

Using Visual Imagery To Develop Multiplication Fact Strategies, Gina Kling

Dissertations

The learning of basic facts, or the sums and products of numbers 0–10 and their related differences and quotients, has always been a high priority for elementary school teachers. While memorization of basic facts has been a hallmark of elementary school, current recommendations focus on a more nuanced development of fluency with these facts. Fluency is characterized by the ability to demonstrate flexibility, accuracy, efficiency, and appropriate strategy use. Despite recommendations to focus on strategy use, there is insufficient information on instructional approaches that are effective for developing strategies, particularly for multiplication facts. Using visual imagery with dot patterns has …

The Effects Of Problem-Based Learning On Mathematics Motivation In A Flipped Classroom Instructional Environment, Joshua David Harrison

Theses and Dissertations

In response to decreasing motivation in high school math classrooms, teachers are transforming classrooms with various instructional techniques. Traditional math instruction relies on direct instruction and memorization of content, processes, and skills. Teachers are transitioning to more constructivist student-led approaches. Utilizing multiple instructional designs provides teachers more opportunities to access the major components of the ARCS Model: attention, relevance, confidence, and satisfaction.

Therefore, the purpose of this action research was examining problem-based learning in a flipped classroom instructional environment and measuring its effect on students’ motivation and achievement in Algebra 2. The study addressed the following research questions: 1) What …

Impacts Of Technology-Enhanced Dual Enrollment Mathematics Course On Rural High School Students’ Intentions Of Going To College, Nicolae Bordieanu

Theses and Dissertations

The purpose of this concurrent mixed methods action research study was to investigate the impact of new technology-enhanced Dual Enrollment (DE) math courses on students’ perception of college courses, the influence the technology-enhanced DE had on students’ intention of going to college, and the students' perception of the technology-enhanced DE math course. Examining student experiences in a technology-enhanced DE course informed all stakeholders as to what degree DE influenced students’ perception of college. The DE experience influenced students' postsecondary plans. The innovation of this action research study was the technology-enhanced DE math course. Software used to practice computational skills, conduct …

Ops Bus Scheduling: A Heuristic Approach To A Three-Tier Multi-Depot Vehicle Routing Problem With Inter-Depot Routes, Jordan Sahs, Brad Tuttle

Mathematics Theses, Dissertations, Research and Student Creative Activity

Omaha Public Schools (OPS) currently uses a Two-Tier Bus Transportation System and is investigating whether switching to a Three-Tier Bus Transportation System would be cost effective by reducing the number of buses and bus drivers OPS uses. This project aims to develop an algorithm that would allow OPS to test whether a Three-Tier system is more cost effective. The “Bus Scheduling Project” is composed of two different software components: a geographical analyzer and a heuristic bus route generator.

Impacting African American Student Achievement In The Middle School Stem Classroom By Teaching Mathematics Through Arts Integration And Design Thinking, Robert Lippert, Tjuannia R. Seals

Dissertations

Middle school is a transitional period in which many students experience content-specific teachers, travel between classrooms, and explore extracurricular activity options for the first time. Historically, African American middle school students have not fared well in Science, Technology, Engineering, and Mathematics (STEM) on standardized assessments, performing significantly below their Caucasian counterparts in mathematics and science. From the beginning of their academic careers, a lack of access to quality teachers, excessive use of direct instruction strategies, and a lack of resources in their school communities, contribute to their overall apathy towards the subject matter and factor into their underperformance. As a …

Normalization And Generalization In Deep Learning, Griffin Hurt

Theses

In this thesis, we discuss the importance of data normalization in deep learning and its relationship with generalization. Normalization is a staple of deep learning architectures and has been shown to improve the stability and generalizability of deep learning models, yet the reason why these normalization techniques work is still unknown and is an active area of research. Inspired by this uncertainty, we explore how different normalization techniques perform when employed in different deep learning architectures, while also exploring generalization and metrics associated with generalization in congruence with our investigation into normalization. The goal behind our experiments was to investigate …

School Leaders’ Transformational Strategies For Successfully Preparing For Algebra I In Eighth Grade, Brooke Humphrey

Educational Policy Studies Dissertations

Algebra I is considered a gateway course that provides students with additional opportunities for accelerated mathematics at the secondary level. Algebra I in eighth grade is a strategy that has been previously implemented to provide these additional opportunities and yielded mixed results. Drawing from Burn’s (1978) transformational leadership theory, this study explores the strategies of educational leaders that have led to success for a broad scale implementation of Algebra I for all eighth graders. Qualitative data was collected from schools that meet three criteria: increased enrollment of students in Math 6 Enhanced from the 2020-2021 school year to the 2021-2022 …

Spectral Sequences And Khovanov Homology, Zachary J. Winkeler

Dartmouth College Ph.D Dissertations

In this thesis, we will focus on two main topics; the common thread between both will be the existence of spectral sequences relating Khovanov homology to other knot invariants. Our first topic is an invariant MKh(L) for links in thickened disks with multiple punctures. This invariant is different from but inspired by both the Asaeda-Pryzytycki-Sikora (APS) homology and its specialization to links in the solid torus. Our theory will be constructed from a Z^n-filtration on the Khovanov complex, and as a result we will get various spectral sequences relating MKh(L) to Kh(L), AKh(L), and APS(L). Our …

Teacher Perceptions And Teaching Practices In The Elementary Mathematics Classroom, Cynthia K. Moschera

Theses and Dissertations

The purpose of this study is to explore elementary educators’ perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their instructional choices. The theoretical framework includes Lev Vygotsky’s theory of Zone of Proximal Development. The methodological type will be a qualitative collective case study consisting of 8 participants, which include classroom teachers of grades 2-5. The TIMSS (Trends in International Mathematics and Science Study) conducted every four years, has highlighted gaps in mathematics performance …

The Impacts Of Tracking In Middle School Mathematics, With Particular Emphasis On Small Private Schools, Jared Hanson

Teaching and Learning (MA) Theses

Most studies of the efficacy and equity of tracking in middle school mathematics focus on programs implemented in large public schools or entire school districts. They do not consider the impacts of how tracking might affect middle school students at a small private school. This study therefore seeks to determine how the theories, findings, and conclusions in the existing research may be applied in the context of a small private school. It begins with an extensive review of the literature that discusses the history and impacts of tracking, focusing on academic achievement, self-esteem and self-concept, and discrimination along racial and …

Link Between Mathematics Pedagogy And Missouri Assessment, Mary E. Hartnett

Murray State Theses and Dissertations

Abstract

The researcher studied the correlation between mathematics pedagogy and fifth grade test scores on the Missouri Achievement Program Mathematics Test, utilizing data from 2019 to avoid the effects Covid-19 had on the education system. All fifth graders attending public schools in Saint Louis County were studied using the data released by the Department of Elementary and Secondary Education. The first research question pertained to a correlation between mathematics pedagogy (Spiral, Strand or Blended Method) and overall fifth grade test scores on the Missouri Assessment Program Mathematics Test. The second question tested whether correlation existed between mathematics pedagogy and test …

Effect Of The Mathematics Workshop Model On Middle School English Language Learners’ Achievement, Khethiwe Hudson

Walden Dissertations and Doctoral Studies

AbstractMost English learners (ELs) face challenges upon entering schools in the United States. The problem addressed in this study was that more than half of middle school ELs did not reach basic proficiency on their mathematics inventory in a Mid-Atlantic school district between 2017 and 2022. The purpose of this quantitative study was to investigate the differences in the Spring mathematics inventory scores between low-English functioning middle school ELs (Level 1 entering and Level 2 emerging) and medium functioning middle school ELs (Level 3 developing and Level 4 expanding) who were instructed in the mathematics workshop model for 18 weeks …

Mathematics And Special Education Co-Teaching In The Middle School: How Teachers Make Sense Of Their Partnership, Bethany Lavalley

Electronic Theses and Dissertations

Co-teaching is the practice of general educators and special educators sharing instruction in a general education setting to deliberately meet the needs of students with and without disabilities. Co-teacher research tends to focus on the processes of co-teaching, and little is known about how teachers go about creating a system of interconnected professional expertise that flexibly meets the diverse learning needs of students. This comparative case study examines the interpersonal and professional relationships of two co-teaching teams who were supported by their respective administration, who shared common planning time, co-instructed together in the mathematics classroom, and were engaged in a …

The Pursuit Of A Meaningful Life Through Taoism And The Golden Ratio, Robert Q. Williams Ii

CMC Senior Theses

What constitutes a meaningful life is perhaps the most crucial question we can ask ourselves throughout our lifetime; for what we know, the desire to become knowledgeable of a definitive answer is a journey traveled by humans as early as the 6th century BCE. Nonetheless, history illustrates various paths that brave individuals took to provide guidelines for today’s society to reflect on and choose whether or not they wish to follow them. To portray some of these philosophies in greater detail, we begin by exploring the term “meaning” from a metaphysical perspective and then the categories such philosophies might fall …

Associating High School Science, Technology, Engineering, And Math (Stem) Course-Taking With Future Earnings For Non-Stem Employed High School Graduates, Beth Marchant

Dissertations

Problem

Due to the current resurgence of attention given to high school students' taking courses in Science, Technology, Engineering, and Mathematics (STEM), research was needed to examine whether a relationship between the number of STEM courses a high school student, who graduates from high school and works in a non-STEM field, completes and the success of that student 10 years later. One measure of student success, future earnings, can be measured quantitatively and is included in the Education Longitudinal Survey of 2002 (ELS:2002) data set, an ideal source of information to evaluate this issue (Institute of Education Sciences, 2019b).

Method …

Effect Of The Mathematics Workshop Model On Middle School English Language Learners’ Achievement, Khethiwe Hudson

Walden Dissertations and Doctoral Studies

AbstractMost English learners (ELs) face challenges upon entering schools in the United States. The problem addressed in this study was that more than half of middle school ELs did not reach basic proficiency on their mathematics inventory in a Mid-Atlantic school district between 2017 and 2022. The purpose of this quantitative study was to investigate the differences in the Spring mathematics inventory scores between low-English functioning middle school ELs (Level 1 entering and Level 2 emerging) and medium functioning middle school ELs (Level 3 developing and Level 4 expanding) who were instructed in the mathematics workshop model for 18 weeks …

The Relationships Between Flow, Mathematics Self-Efficacy, And Mathematics Anxiety Among International Undergraduate Students In The United States, Samah Abduljabbar

Dissertations

Problem

A worldwide problem, math anxiety is defined as an anxious state with an unpleasant feeling of tension characterized by fear of failing to achieve mathematics targets. Psychologically, math anxiety involves anxiety, tension, discomfort, nervousness, fear, shock, and insecurity. Math anxiety has been perceived as a key influencer of reduced math achievement, and avoidance of math-related careers. On the other hand, abilities, flow, interests, and psychological conditions contribute to student mathematics success. Belief in one's ability to perform a specific task boosts self-efficacy, which has been studied widely as a predictor of student academic performance. When students are interested in, …

Finding The Common Denominator: Understanding The Shared Experiences Of Female Math Majors, Abigail R. Rosenbaum

Honors Theses

Despite efforts to increase gender diversity in STEM fields, women remain underrepresented in mathematics, especially in advanced academic and research positions. This study aimed to explore the experiences of female math majors as they attempt to navigate this male-dominated space. Through qualitative interviews with seven female math majors, two female math professors, and a focus group with education majors at Woodbridge College, small liberal arts college in the United States, several common themes were identified that define the experiences of female math majors. The findings suggest that math is held at an elevated status in society and that there is …

Elliptic Functions And Iterative Algorithms For Π, Eduardo Jose Evans

UNF Graduate Theses and Dissertations

Preliminary identities in the theory of basic hypergeometric series, or `q-series', are proven. These include q-analogues of the exponential function, which lead to a fairly simple proof of Jacobi's celebrated triple product identity due to Andrews. The Dedekind eta function is introduced and a few identities of it derived. Euler's pentagonal number theorem is shown as a special case of Ramanujan's theta function and Watson's quintuple product identity is proved in a manner given by Carlitz and Subbarao. The Jacobian theta functions are introduced as special kinds of basic hypergeometric series and various relations between them derived using the triple …

Did The Covid-19 Pandemic Cause A Learning Loss In Reading And Mathematics? Empirical Evidence Using 2022 Grade 8 Students In Kentucky., Tiyani Rodrigo

MPA/MPP/MPFM Capstone Projects

In 2020, most United States (U.S.) schools closed abruptly. Due to the pandemic, students and teachers were affected in multiple ways. Nearly three years post-pandemic, it is evident students lost in academic achievement. Lower academic performance may impact the future economy and labor force due to lower productivity. Therefore, understanding the causal impact COVID-19 had on academic achievement is vital to develop policy that will help mitigate the long-term impact. In this capstone, I will estimate the size and direction of the impact COVID-19 had on Mathematics and Reading skills for grade 8 students in Kentucky. Using a Difference-in-Differences (DiD) …

The Effect Of Self-Paced Learning On Student Achievement And Motivation Within An Eighth-Grade Mathematics Classroom, Jacy Spencer

Dissertations, Theses, and Projects

A large mathematics achievement gap is a concern for researchers and educators alike, making effective teaching practices a main point of study for many researchers. Therefore, this action research, which used a quasi-experimental, quantitative research design, aimed to determine the effect of a self-paced learning environment on eighth-grade students’ mathematical achievement and motivation for learning. Baseline data on student motivation toward learning mathematics and mathematics achievement was collected before implementing a self-paced learning environment. After a mathematics unit was completed utilizing the self-paced learning model, data was collected on student achievement and motivation to determine effect of the learning environment. …

The Impact Of Problem-Based Learning On Students Critical Thinking Skills And Peer Relationships, Rebecca Ostby

Dissertations, Theses, and Projects

Education is a field that is constantly in motion. It is changing and adapting as educators and researchers try new concepts or ideas. One shift is implementing mathematics curriculum's that focus on problem-based learning. Throughout researching problem-based learning, there was a theme of its impacts on 21st-century skills that students possessed. Therefore, these research questions were created: How does problem-based learning in mathematics impact the critical thinking skills of middle school students? What is the impact of increased opportunities for critical thinking on students' collaboration with each other? Learners in an 8^th-grade Algebra 1 class took a Likert …

Examining Teaching Practices That Increase Student Mathematical Achievement, Jonah P. Zimmerman

Culminating Experience Projects

The current data in the United States surrounding mathematics shows that there are issues that must be addressed with teaching and learning math in the K-12 setting. In the perfect world, all students would meet grade level expectations in math prior to moving to another grade; however, this is not what is taking place. Students are not meeting proficiency, and as a result teachers and students alike are not gaining confidence in teaching/learning mathematics. This project looks at the Math Workshop Model as being one alternative to the more traditional teaching practices that are used today in the ABC School …

The Effects Of The Avid Program On Rural Student Growth In Middle Grades Mathematics, James Allen

All Dissertations

From this mixed method study, I present my findings on the effects of selected aspects of the Advancement Via Individual Determination (AVID) program on rural middle school students’ mathematics achievement. Previous research on the AVID program has focused on implementation in urban schools, although rural communities’ student populations continue to grow.

Most research on AVID’s success in urban settings show positive correlations between how long students participate in the AVID program and their college readiness. Other research about predictors of college success shows students who do not enroll in advanced level mathematics courses in middle school are less likely to …

The Perceived Impact Of Project-Based Learning (Pbl) On Middle School Students’ Science, Technology, Engineering, And Mathematics (Stem) Identity And Engagement, Jonathan Olivera

Theses and Dissertations

Despite multiple calls to action, the United States educational system is not producing enough viable contributors in the areas of science, technology, engineering, and mathematics (STEM). These fields continue to grow, and the STEM workforce continues to expand. However, the pool of citizens prepared to enter these professions is not keeping up with the demand. Part of this issue can be attributed to a diminishing interest in STEM by students, particularly during their identity forming adolescent years. Active learning strategies have proven successful in preventing this decline with project-based learning (PBL) being one of the most successful active learning strategies. …