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Mathematics

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A Mathematical Analysis Of The Game Of Chess, John C. White Apr 2018

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 …


The Impact Of Teachers With Differing Levels Of Degree Attainment On Student Performance In Mathematics, Marie Call Apr 2018

The Impact Of Teachers With Differing Levels Of Degree Attainment On Student Performance In Mathematics, Marie Call

Doctoral Dissertations and Projects

The No Child Left Behind (NCLB) Act states that in order for K-12 teachers to be considered “highly qualified” they must obtain at least a bachelor’s degree. However, research shows that the vast majority of states compensate teachers more highly for obtaining graduate degrees. The purpose of this study was to determine whether there is a difference in mean scores and/or pass rates of fourth-grade students on the Georgia Milestones End of Grade (EOG) Assessment in Mathematics for teachers with various levels of degree attainment (bachelor’s, master’s, educational specialist, and doctoral degrees). The theoretical framework that this study was rooted …


Examining The Effect Of Flipped Learning On English Language Learner Mathematics Achievement, Kimberlee Margosian Apr 2018

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 Apr 2018

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 …


Simulations And Queueing Theory: The Effects Of Randomly Bypassing Security, Emily Ortmann Apr 2018

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 Apr 2018

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.


The Impact Of Khan Academy Math Remediation On Ninth Grade Student Achievement, Sandra Kelly Apr 2018

The Impact Of Khan Academy Math Remediation On Ninth Grade Student Achievement, Sandra Kelly

Doctoral Dissertations and Projects

The purpose of this quasi-experimental study was to determine if using Khan Academy as math remediation for fifteen minutes per day during a ninth grade Math I class would significantly affect student math achievement as measured by the North Carolina READY Math I End-of-Course Assessment. This quantitative study conducted at two rural high schools in West Virginia used remediation theory to make a comparison against a control population with the independent variable being grade level instruction only or grade level instruction plus math remediation using Khan Academy. The participants in the study included 131 ninth grade high school students taking …


Spontaneous Scalarization Of Black Holes And Compact Stars From A Gauss-Bonnet Coupling, Hector Silva, Jeremy Sakstein, Leonardo Gualtieri, Thomas P. Sotiriou, Emanuele Berti Mar 2018

Spontaneous Scalarization Of Black Holes And Compact Stars From A Gauss-Bonnet Coupling, Hector Silva, Jeremy Sakstein, Leonardo Gualtieri, Thomas P. Sotiriou, Emanuele Berti

Faculty and Student Publications (Open Access)

No abstract provided.


Modeling Multimodal Failure Effects Of Complex Systems Using Polyweibull Distribution, Daniel A. Timme Mar 2018

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 …


The Effects Of Using A Whiteboard Interactively In A Middle School Mathematics Classroom, Joshua H. Schneider Mar 2018

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, …


A Weak Galerkin Method For Second Order Elliptic Equations With Polynomial Reductions, Nolisa Malluwawadu Mar 2018

A Weak Galerkin Method For Second Order Elliptic Equations With Polynomial Reductions, Nolisa Malluwawadu

Theses and Dissertations

The second order elliptic equation, which is also known as the diffusion-convection equation, is of great interest in many branches of physics and industry. In this dissertation, we use the weak Galerkin finite element method to study the general elliptic equation with Dirichlet boundary condition and the elliptic equation with mixed boundary conditions. Weak Galerkin finite element schemes are proposed and analyzed. These schemes feature piecewise polynomials of degree k ≥ 1 on each element and piecewise polynomials of degree k − 1 ≥ 0 on each edge or face of the element. Error estimates of optimal order are established …


Alumni News | Math's Du Gets Award From Nevada Board Of Regents, Ohio University College Of Arts & Sciences Mar 2018

Alumni News | Math's Du Gets Award From Nevada Board Of Regents, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.


03. Biology, Southwestern Oklahoma State University Mar 2018

03. Biology, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


04. Botany, Southwestern Oklahoma State University Mar 2018

04. Botany, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


02. Animal Science, Southwestern Oklahoma State University Mar 2018

02. Animal Science, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


06. Computer Science, Southwestern Oklahoma State University Mar 2018

06. Computer Science, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


05. Chemistry, Southwestern Oklahoma State University Mar 2018

05. Chemistry, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


10. Forensic Science, Southwestern Oklahoma State University Mar 2018

10. Forensic Science, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


16. Physics, Southwestern Oklahoma State University Mar 2018

16. Physics, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


15. Pharmacy, Southwestern Oklahoma State University Mar 2018

15. Pharmacy, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


19. Zoology, Southwestern Oklahoma State University Mar 2018

19. Zoology, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


18. Statistics, Southwestern Oklahoma State University Mar 2018

18. Statistics, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


09. Environmental Science, Southwestern Oklahoma State University Mar 2018

09. Environmental Science, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


17. Psychology, Southwestern Oklahoma State University Mar 2018

17. Psychology, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


07. Criminal Justice, Southwestern Oklahoma State University Mar 2018

07. Criminal Justice, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


08. Engineering, Southwestern Oklahoma State University Mar 2018

08. Engineering, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


11. Genetics, Southwestern Oklahoma State University Mar 2018

11. Genetics, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


13. Mathematics, Southwestern Oklahoma State University Mar 2018

13. Mathematics, Southwestern Oklahoma State University

Oklahoma Research Day Abstracts

No abstract provided.


The Relationship Of Self-Regulated Learning And Academic Risk Factors To Academic Performance In Community College Online Mathematics Courses, Jim E. Dunnigan Dr. Mar 2018

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 Mar 2018

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., …