Digital Commons Network^™

The Effect Of Game-Based Learning On Title 1 Elementary Students' Math Achievement, Ladonna Martin

CUP Ed.D. Dissertations

The purpose of this quasi-experimental study was to investigate game-based learning, using a computer game system as a supplementary tool in math for elementary students in a low-income Title 1 school. The research question asked, “What are the effects of a game-based learning supplemental instruction on math achievement of Title 1 students?” The null hypothesis was rejected for all five hypotheses. Dreambox is a research-based computer game system that is aligned according to various curricula needs to meet the fourth-grade standards. Four fourth-grade classes, two classes each, were divided into a comparative group and an experiential group. Both the groups …

Effects Of Dynamic Geometry Software On Secondary Students’ Understanding Of Geometry Concepts, Megan Nelson

Culminating Projects in Teacher Development

The purpose of this study was to determine the effects of dynamic geometry software (DGS) on secondary students’ understanding of geometry concepts. This paper examines how dynamic geometry software (DGS) is used in the secondary mathematics classroom and its effects on student understanding and achievement through a review of the literature. The use of technology in mathematics education is well documented and its effects are noted within this paper. The focus of the literature review in Chapter 2 includes: 1) how the computer technology is used in the classroom; 2) the use of DGS to promote student understanding of inductive …

Non-Naturalism And Naturalism In Mathematics, Morality, And Epistemology, Nicholas Distefano

Honors Projects

No abstract provided.

The Pope's Rhinoceros And Quantum Mechanics, Michael Gulas

Honors Projects

In this project, I unravel various mathematical milestones and relate them to the human experience. I show and explain the solution to the Tautochrone, a popular variation on the Brachistochrone, which details a major battle between Leibniz and Newton for the title of inventor of Calculus. One way to solve the Tautochrone is using Laplace Transforms; in this project I expound on common functions that get transformed and how those can be used to solve the Tautochrone. I then connect the solution of the Tautochrone to clock making. From this understanding of clocks, I examine mankind’s understanding of time and …

Student Attitudes On Cooperative Learning And Individual Learning In My Mathematics, Jessica Thompson

Honors Projects

The main purpose of this research is to see which learning style, individual or cooperative, is better for student attitudes in my classroom when implemented correctly. When students work within cooperative learning groups, research has found that they have more positive attitudes as well as higher performance levels. However, the students in my classroom did not have a significant change in attitude when in cooperative learning groups versus learning individually.

Simulations And Queueing Theory: The Effects Of Randomly Bypassing Security, Emily Ortmann

Masters Theses & Doctoral Dissertations

We discuss queueing theory in the setting of airport security and customs. By developing queueing simulations based on mathematical models, we explore a variety of questions related to optimal queue design with respect to efficiency, feasibility, priority, and other prescribed/variable constraints.

Simulations And Queueing Theory: The Effects Of Priority And Vip Thresholds, Laura Schuck

Masters Theses & Doctoral Dissertations

Everyone has experienced waiting in lines, whether it is at the airport, the grocery store, or somewhere in-between. By developing queueing simulations based on mathematical models of airport security and customs, we explore a variety of questions related to optimal queue design with respect to efficiency, feasibility, priority, and other prescribed/variable constraints.

How Can A 9th Grade Math And Science Curriculum Become Integrated As Part Of A Project-Based Academy?, Evan Pierson

School of Education and Leadership Student Capstone Projects

Research shows that project-based learning and integrated curriculums in many cases have a positive impact on student engagement, attitudes, and academic achievement. This project takes units from a general science and math curriculum at the ninth grade level and blends them to create an integrated unit relating to motion. The unit contains a wide array of math and science activities and labs that encourage students to think critically but also allows them to easily see the similarities between the two content areas. Teachers are encouraged to adapt the unit to meet their individual needs or attempt a similar endeavor with …

The Benefits And Challenges Of Integrating Self-Assessed Grading Into A 7th Grade Math Classroom, Michael Schramm

School of Education and Leadership Student Capstone Projects

This project documents one teacher’s exploration of self-assessment as a strategy for teaching and learning in middle school math, addressing the research question, “What are the benefits and challenges of integrating self-assessed grading into a 7th grade pre-algebra curriculum?” It explores research relevant to the idea of self-assessment in middle school, focusing on constructivism, self-regulated learning and self-efficacy. It also includes a review of research about the implementation of self-assessment strategies. The author concludes with a curriculum aimed at helping teachers implement self-assessment in their own classrooms. The centerpiece of the curriculum is an outline of a structure and materials …

A Mathematical Analysis Of The Game Of Chess, John C. White

Selected Honors Theses

This paper analyzes chess through the lens of mathematics. Chess is a complex yet easy to understand game. Can mathematics be used to perfect a player’s skills? The work of Ernst Zermelo shows that one player should be able to force a win or force a draw. The work of Shannon and Hardy demonstrates the complexities of the game. Combinatorics, probability, and some chess puzzles are used to better understand the game. A computer program is used to test a hypothesis regarding chess strategy. Through the use of this program, we see that it is detrimental to be the first …

Effective Note-Taking Strategies In The High School Math Classroom, Michael Swenson

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this action was, how can I implement effective note-taking strategies to improve my students’ performance on assessments? It details how one teacher implements Cornell notes and Foldables over the course of one trimester in two different Algebra 2 classes. A mixed methods approach was used to better understand effects of each strategy on three unit exams, three vocabulary quizzes, student surveys, and six student interviews. He describes the effects of each strategy on student achievement and concludes that: 1) Cornell notes and Foldables did improve student achievement on unit exams with Cornell notes showing higher …

The Relationship Between The Development Of Math Operation Proficiency And Student Confidence, Douglas Elfstrom

School of Education and Leadership Student Capstone Theses and Dissertations

The research question of this study was, What is the relationship between math operation fluency and a student’s confidence and perception of math in general? A multi-faceted intervention was developed to address both students’ multiplication fact proficiency and student confidence, with middle school students in Special Education. Pre and post assessment data was analyzed to determine the effect of this intervention on student fact proficiency and confidence. Findings suggest that students that progressed throughout the intervention period by mastering multiplication fact families also generally had an increase in math confidence. Implications for future work include determining how to improve this …

Archimedes In The Classroom, Rachel Towne

Masters Essays

Eureka! Eureka! What better way to excite and engage students than to bring Archimedes into the classroom? Archimedes is widely regarded as the greatest mathematician of antiquity. Very little is known about Archimedes’ personal life. Archimedes was born in Syracuse, Sicily around 287 B.C., and he was the son of an astronomer. He probably studied in Alexandria, Egypt under followers of Euclid. Today we know Archimedes as a brilliant mathematician and scientist, he spent much of his career inventing war machines. Despite orders not to harm Archimedes, his life was cut short in 212 B.C. when the Romans invaded Syracuse …

Examining The Effect Of Flipped Learning On English Language Learner Mathematics Achievement, Kimberlee Margosian

Capstone Projects and Master's Theses

English Language Learners (ELLs) are falling behind in mathematics according to the new standardized tests that assess mastery of the Common Core State Standards (Smarter Balanced Test Results, 2017). Simultaneously, flipped learning models have gained momentum in the past decade. Recent studies have found this pedagogical shift to be promising in improving achievement if implemented correctly (Bhagat, Chang, & Chang, 2016; Hung, 2015, Lai & Hwang, 2016; Tawfik & Lilly, 2015; Zengin, 2016). This study used a pre- and post-test quantitative quasi-experimental design to compare the achievement of a mathetmatics standard between the treatment group (n = 30), who received …

Multiplication Automaticity For Students With Learning Disabilities, Sandra G. Barton

Capstone Projects and Master's Theses

Students with learning disabilities (LDs) often struggle to learn and maintain multiplication automaticity. This research looked at using the computer-based instruction (CBI) program, XtraMath, as an intervention to increase multiplication automaticity for students with LDs. Five fifth-grade students who have math goals stated in their Individual Education Plans (IEPs) were participants in this study. A multiple-baseline-across-participants single-case AB design was conducted to determine the impact XtraMath had on automaticity of multiplication facts (0-9) shown by digits correct per minute (DC/M). Each participant entered the intervention phase (i.e., phase B) separately and provided hard data by completing a two-minute, pencil and …

Modeling Multimodal Failure Effects Of Complex Systems Using Polyweibull Distribution, Daniel A. Timme

Theses and Dissertations

The Department of Defense (DoD) enlists multiple complex systems across each of their departments. Between the aging systems going through an overhaul and emerging new systems, quality assurance to complete the mission and secure the nation‘s objectives is an absolute necessity. The U.S. Air Force‘s increased interest in Remotely Piloted Aircraft (RPA) and the Space Warfighting domain are current examples of complex systems that must maintain high reliability and sustainability in order to complete missions moving forward. DoD systems continue to grow in complexity with an increasing number of components and parts in more complex arrangements. Bathtub-shaped hazard functions arise …

Investigating The Parent Functions: African-American Families And Schools Collaborating To Improve Secondary Mathematics Achievement, Frank E. Staples Jr.

Doctoral Dissertations

The purpose of this study was to identify and evaluate specific strategies that encouraged school personnel and African-American family members to collaborate in a spirit of mutual respect to promote and support student learning and development in high school mathematics. Three research questions were used to (a) determine if strategies identified by the participants were effective or non-effective, (b) determine if there were any similarities or differences with respect to how family members and school personnel think about or assess specific strategies, and (c) assess the results of implemented strategies. This goal was accomplished by (1) convening a group of …

The Effects Of Using A Whiteboard Interactively In A Middle School Mathematics Classroom, Joshua H. Schneider

Theses and Dissertations

The purpose of this study was to further examine the effects of using Interactive White Boards interactively versus as a glorified whiteboard. The experimental group consisted of seven eighth grade general education students and six eighth grade special education students. The experimental group was taught with lessons created to promote interactivity and student involvement and covered the five lessons in a unit on three-dimensional geometry. Baseline data was collected by using the mean of the students' recent test scores. The post-test was then compared to the students' baseline scores to show the effectiveness of the intervention. To further data analysis, …

The Relationship Of Self-Regulated Learning And Academic Risk Factors To Academic Performance In Community College Online Mathematics Courses, Jim E. Dunnigan Dr.

Education Dissertations

Completion of required mathematics courses in a community college program of study can be a critical factor in a student’s academic success and degree completion. Underprepared, nontraditional students who take mathematics courses online in a community college face barriers to success that are different from those found in traditional face-to-face courses in four-year universities. Research suggests that motivation and self-regulated learning skills are potentially related to student success in online learning. The preponderance of research on student academic success in online courses is predominantly conducted with traditional, better-prepared students in four-year universities. Yet, there is little research on the effectiveness …

Adult College Students' Perceptions About Learning Mathematics Via Developmental Mathematical Xmoocs, Pelagia Alesafis Kilgore

USF Tampa Graduate Theses and Dissertations

Debates over the promising change Massive Open Online Courses (MOOCs) might offer to traditional online learning now produce significant attention and discourse among the media and higher education. Ample articles discuss the potential benefits of MOOCs from the perspectives of faculty and administration. However, little is known about students’ perceptions of MOOCs. Given the lack of relevant literature and the reality that MOOCs are created to benefit students, it is important to elicit current college students’ perceptions of MOOCs since it is well documented learning mathematics online has its problems (Ashby, Sadera, & McNary, 2011; Frame, 2012; Ho et al., …

Affect, Motivation, And Engagement In The Context Of Mathematics Education: Testing A Dynamic Model Of Interactive Relationships, Shanshan Hu

Theses and Dissertations--Educational, School, and Counseling Psychology

The present study tested the interactive model of affect, motivation, and engagement (Linnenbrink, 2007) in mathematics education with a nationally representative sample. Self-efficacy, self-concept, and anxiety were indicators of pleasant and unpleasant affect. Intrinsic and extrinsic motivation were indicators of mastery and performance approach. Persistence and cognitive activation were indicators of behavioral and cognitive engagement. The 2012 Programme for International Student Assessment (PISA) supplied a sample of 4,978 students from the United States for structural equation modeling. The results indicated that PISA data overall supported the interactive model. Specifically, PISA data completely supported the specification of the relationship between motivation …

Limits Of Julia Sets For Sums Of Power Maps And Polynomials, Micah Brame

Undergraduate Honors Thesis Collection

Suppose f_{n,c} is a complex-valued mapping of one complex variable given by f_{n,c}(z) = z^n + p(z) + c, where p is a polynomial such that p(0) = 0 and c is a complex parameter such that |c| < 1. We provide necessary and sufficient conditions that the geometric limit, as n approaches infinity, of the set of points that remain bounded under iteration by f_{n,c} is the disk of radius 1 centered at the origin.

Summer Learning Loss And Summer Programming: How To Build A Cohesive Mathematics Education, Jill Osborne

All Electronic Theses and Dissertations

Students across the world are learning at an incredible rate. By the end of each academic school year, most students have amassed a large amount of knowledge. But what happens to that knowledge over the summer? Research shows that most students make no academic gains over the summer; some even regress in their content knowledge. In order to build a cohesive education across academic school years, research has shown that attending a summer academic program may help. Students that attend a summer learning program may be more successful the next academic year, which in turn builds to a greater overall …

The Impact Of Mathematics Coaching On Teacher Pedagogy And Student Understanding In Rural School Districts, Renee Bouchard Charette

M.S.Ed. in Educational Leadership Research Projects

This study collected data from teachers and math coaches in rural Maine schools to determine if working with a mathematics coach had an impact on teacher’s pedagogy. Participants were asked about their perception of whether coaching interactions impacted students understanding of mathematics. The design included interviews with four coaches who had been trained through the Maine Mathematics Coaching Project. Data from nineteen teachers was collected through surveys that were emailed to all teachers who had worked with the four coaches. Conclusions indicate that most coaches and teachers do believe that working with a mathematics coach has a positive impact on …

The Impact Of Tracking Students In Mathematics On Middle School Student Achievement Outcomes, David P. Glasner

ETD Archive

The purpose of this study was to explore whether and how tracking structures in mathematics courses at the middle school level relate to differences in achievement between white and black students. This study used propensity score matching to compare the achievement outcomes of students enrolled in advanced mathematics classes, with students of comparable ability and background enrolled in grade-level math classes. The study sample was comprised of 1,510 students. Results from the study show that enrollment in an advanced-math course was associated with statistically significant improvement in math achievement for average-ability students. In addition, study results show that increases in …

Symmetry Identified In 2-Dimensional Artwork Compositions Using Visuospatial Ability, Theresa Ferg

Electronic Theses and Dissertations

At the John Langdon Down Foundation A.C. in the La Escuela Mexicana de Arte Down school in Mexico City D.F., Mexico, art students with Trisomy 21 display the use of a mathematical construct in the painting compositions of their artworks. The mathematical construct is a type of symmetry and it carries a positive affect. This is important because there have been no studies that have investigated the use of the symmetry in the artwork compositions of persons with Down syndrome. The geometric construction of the artwork compositions follows the artistic principle of the Rule of Three and the division of …

Categories Of Residuated Lattices, Daniel Wesley Fussner

Electronic Theses and Dissertations

We present dual variants of two algebraic constructions of certain classes of residuated lattices: The Galatos-Raftery construction of Sugihara monoids and their bounded expansions, and the Aguzzoli-Flaminio-Ugolini quadruples construction of srDL-algebras. Our dual presentation of these constructions is facilitated by both new algebraic results, and new duality-theoretic tools. On the algebraic front, we provide a complete description of implications among nontrivial distribution properties in the context of lattice-ordered structures equipped with a residuated binary operation. We also offer some new results about forbidden configurations in lattices endowed with an order-reversing involution. On the duality-theoretic front, we present new results on …

Beyond Teacher Knowledge: Connections Between Content Knowledge, Mindset For Learning, And Teaching In Two-Year College Mathematics Faculty, Lucy Hernandez Michal

Open Access Theses & Dissertations

Addressing thousands of students entering unprepared to enroll in college freshman mathematics courses is a challenge two-year college mathematics faculty face every semester. The study addresses this challenge through a mixed methods sequential nested multi-case design to investigate what faculty need, beyond teacher knowledge, to teach mathematics effectively to students. The three-part study measured the mindset learning profile and content knowledge of a sample of mathematics faculty at a two-year college. The quantitative and qualitative data provided references to select four faculty typologies to interview and observe. Interviews reflected faculty perceptions of teaching and learning. Class observations captured images of …

The Effectiveness Of The Co-Requisite Model In Preparing College Students For Math Courses, Shauna Mullins

Murray State Theses and Dissertations

Some form of academic support for underprepared students at the post-secondary level has been around since the 17^th century. This academic support has had several names such as tutoring, remediation and developmental education. With the growing need for academic support at the post-secondary level, universities are developing various ways to provide support to their students.

The focus of this study was the Co-requisite Model, particularly within Murray State University’s mathematics courses. Following IRB approval, archival data from undergraduate students were collected over three semesters in College Algebra and one semester in Mathematical Concepts courses. The pass rates of students …

Implementing Student-Centered Accommodations In Mathematics, Stephanie Grosko

Graduate Education Student Scholarship

This project explores the necessary need to create and implement accommodations for low achieving learners and high achieving learners in mathematics, specifically addition and subtraction at the kindergarten level. Currently, there are no accommodations provided in the mathematic curriculum to support these groups of students and ensure they continue to succeed and grow. Research data was collected and analyzed to determine the types of accommodations that are most beneficial to these two groups of learners. Through the research findings, accommodations were discovered and included in the final project to create a student-centered learning environment called the Rainforest Math Cove. The …