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Articles 991 - 1020 of 5281
Full-Text Articles in Entire DC Network
Math 222-031, 131, Summer 2023: Differential Equations, Jeyakumaran Ratnaswamy
Math 222-031, 131, Summer 2023: Differential Equations, Jeyakumaran Ratnaswamy
Mathematical Sciences Syllabi
No abstract provided.
Math 279-011, Summer 2023: Statistics And Probability For Engineers, Fariborz Jamedar
Math 279-011, Summer 2023: Statistics And Probability For Engineers, Fariborz Jamedar
Mathematical Sciences Syllabi
No abstract provided.
Math 112-031, 032, 131, Summer 2023: Calculus Ii, Mathematical Sciences Department
Math 112-031, 032, 131, Summer 2023: Calculus Ii, Mathematical Sciences Department
Mathematical Sciences Syllabi
No abstract provided.
Imperfect Immunity And The Stability Of A Modified Kermack-Mckendrick Model, Kaylee Sims
Imperfect Immunity And The Stability Of A Modified Kermack-Mckendrick Model, Kaylee Sims
Honors Theses
The classic Kermack-McKendrick model of mathematical epidemiology suggests that a population is only in equilibrium when there is no disease present. In the modern era, we have several cyclic infectious diseases that show no signs of eradication, despite global health measures. In this thesis, we introduce a coefficient of waning immunity in order to produce a modified Kermack-McKendrick model and analyze whether the model yields system stability with a certain amount of infection present. Ultimately, the model is incongruent with real-world case data, with its most glaring failure being exponential dampening of the height of each disease case peak due …
An Application Of The Pagerank Algorithm To Ncaa Football Team Rankings, Morgan Majors
An Application Of The Pagerank Algorithm To Ncaa Football Team Rankings, Morgan Majors
Honors Theses
We investigate the use of Google’s PageRank algorithm to rank sports teams. The PageRank algorithm is used in web searches to return a list of the websites that are of most interest to the user. The structure of the NCAA FBS football schedule is used to construct a network with a similar structure to the world wide web. Parallels are drawn between pages that are linked in the world wide web with the results of a contest between two sports teams. The teams under consideration here are the members of the 2021 Football Bowl Subdivision. We achieve a total ordering …
Book Review Of Inside Mathforum.Org: Analysis Of An Internet Based Education Community., Jose Ponce
Book Review Of Inside Mathforum.Org: Analysis Of An Internet Based Education Community., Jose Ponce
School of Mathematical & Statistical Sciences Faculty Publications
Inside Mathforum.org: Analysis of an Internet-Based Education Community, Wesley Shumar, Cambridge University Press, September 7, 2017, 1st Edition, 204 pages, ISBN: 9781108518345 (e-book).
Improving Access To General Education Via Co-Teaching In Secondary Mathematics Classrooms: An Evaluation Of Utah's Professional Development Initiative, Kaitlin Bundock, Kristen Rolf, Anna Hornberger, Chamy Halliday
Improving Access To General Education Via Co-Teaching In Secondary Mathematics Classrooms: An Evaluation Of Utah's Professional Development Initiative, Kaitlin Bundock, Kristen Rolf, Anna Hornberger, Chamy Halliday
Special Education and Rehabilitation Counseling Faculty Publications
Co-teaching may be a promising strategy to improve inclusive secondary mathematics education in rural schools. Professional development (PD) aids in special and general education teachers' co-teaching implementation, yet little empirical research examines how to effectively train and support co-teachers. In this study we describe one U.S. state's PD model for secondary mathematics co-teaching, evaluate outcomes of the PD on co-teachers' behaviors and beliefs, and examine the impact of co-teaching on students' mathematics achievement. We examined data from observations, surveys, and students' pre/post assessments across nine classes within seven U.S. school districts, including three rural school districts, over 3 years. We …
Curriculum Connectivity In Montclair State University’S Undergraduate Mathematics Program, Ana G. Da Silva Jesus
Curriculum Connectivity In Montclair State University’S Undergraduate Mathematics Program, Ana G. Da Silva Jesus
Theses, Dissertations and Culminating Projects
According to Piaget’s cognitive development theory and the constructivism learning theory of education, real learning occurs when students establish long term connections between disciplines by either adapting or redefining previously acquired knowledge. These ideologies have important teaching and learning implications that directly influence curriculum development and the design of a course of study. This thesis explores the interconnectedness of the subjects required for the successful completion of an undergraduate math program at Montclair State University. More specifically, it models students’ unique connections through a learning network and investigates the correlation between the interconnectivity of subjects and students’ overall performance. Results …
Tribute To Gene Chase, Calvin Jongsma
Tribute To Gene Chase, Calvin Jongsma
Faculty Work Comprehensive List
Gene’s academic work was always one of service to God, his students, and his colleagues, and his intellectual passion was to promote the development of Christian perspectives on various aspects of the field. His contributions to the ACMS have been much appreciated and, God willing, may still bear fruit into the future.
Incorporating Perspectival Elements In A Discrete Mathematics Course, Calvin Jongsma
Incorporating Perspectival Elements In A Discrete Mathematics Course, Calvin Jongsma
Faculty Work Comprehensive List
Discrete mathematics is a vast field that can be explored along many different paths. Opening with a unit on logic and proof and then taking up some additional core topics (induction, set theory, combinatorics, relations, Boolean algebra, graph theory) allows one to bring in a wealth of relevant material on history, philosophy, axiomatics, and abstraction in very natural ways. This talk looks at how my 2019 textbook on discrete mathematics, focused in this way, came to be, and it highlights the various perspectival elements the book includes.
Rasch Model: Analyzing The Items Quality Of Mathematics Higher Order Thinking Skill Instrument, Dimas Mahardika
Rasch Model: Analyzing The Items Quality Of Mathematics Higher Order Thinking Skill Instrument, Dimas Mahardika
Jurnal Pendidikan dan Pembelajaran
This research aims to analyze a mathematics HOTS instrument using the Rasch Model to provide a better measurement instrument for mathematics. The result showed, based on Rasch Model analysis, 1) from 20 items, there are only ten items that can be used to measure HOTS of students in mathematics with the difficulty of 3 items being hard and seven items being easy; 2) the reliabilities of the instrument are moderate; 3) the instrument only can divide students into two groups of level ability; and 4) there is no significant differential item functioning (DIF) bias detected on the instrument
Early Childhood Teachers Beliefs About Mathematics Teaching And Learning, Rania H. Elwan, Hanan A. A. Ebrahim, Ibtesam A. Y. Hussain, Norhan A. H. Nounou
Early Childhood Teachers Beliefs About Mathematics Teaching And Learning, Rania H. Elwan, Hanan A. A. Ebrahim, Ibtesam A. Y. Hussain, Norhan A. H. Nounou
Information Sciences Letters
The current research aimed to investigate the beliefs that early childhood teachers adopt about teaching and learning mathematics in the kindergartens of the Kingdom of Saudi Arabia. The teachers are role models for the child from whom he draws his knowledge, behavior, attitudes, concepts and experiences. and their classroom practice, which positively affects the level of the child and his attitudes towards the learning and teaching processes in general, and the mathematics course in particular, because of its importance in real life because it helps him to think, make decisions and solve problems he faces in his life. This has …
Developing Weak Galerkin Finite Element Methods, Ahmed Sallal Joudah Al-Taweel
Developing Weak Galerkin Finite Element Methods, Ahmed Sallal Joudah Al-Taweel
Theses and Dissertations
The weak Galerkin finite element method is a flexible and effective numerical technique for solving partial differential equations (PDEs). The goal of this dissertation is to develop new weak Galerkin schemes for solving PDEs on uniform triangular partitions in 2D. These schemes will improve the efficiency of the weak Galerkin method and avoiding numerical locking. First, we investigate the lowest-order weak Galerkin finite element method for solving reaction-diffusion equations with singular perturbations. Then, we propose a weak Galerkin method for the Laplace equation using harmonic polynomial finite elements instead of the full polynomial space $P_k$ to achieve the same order …
Connecting Music To The Mathematics Classroom, Nicholas Parr
Connecting Music To The Mathematics Classroom, Nicholas Parr
Honors Projects
This project investigates the importance of integrating music into mathematics classrooms K-12. By outlining the numerous connections between mathematics and music, and applying those to pedagogy, the project provides interdisciplinary overlaps that may be unknown to current teachers. Evidence supports the conclusion that mathematical abilities improve after musical infusion, yet the presence of this intervention is lacking in grades 7-12. Therefore, both mathematical and musical intelligence suffer as a result of the separation of electives and core classes. This project contains eight original mathematics content standards, which would coincide with the Ohio Learning Standards for Mathematics, as well as a …
Reflecting On Movement In The Math Classroom, Zoey Berger
Reflecting On Movement In The Math Classroom, Zoey Berger
Honors Projects
The purpose of this paper is to determine how reflection on movement effects the learning and connections made by students in the math classroom. Kinesthetic Movement is a learning style that is oftentimes forgotten about and left out of classroom instruction. It can help increase motivation, build deeper connections, and create a more positive disposition towards math for students. Research was conducted in four, eighth grade, pre-algebra classes, with some classes being given the opportunity to reflect more than others. Test scores, journal responses, and interest surveys done by the students are used to show inconclusive results that reflection on …
Classroom Social Support: A Multiple Phenomenological Case Study Of Mathematics Graduate Teaching Assistants’ Decision Making In The Classroom, Brittany Johnson
Classroom Social Support: A Multiple Phenomenological Case Study Of Mathematics Graduate Teaching Assistants’ Decision Making In The Classroom, Brittany Johnson
Department of Mathematics: Dissertations, Theses, and Student Research
Research suggests that support offered by an instructor can have a significant impact on the student experience, both in terms of classroom performance and affective well-being. Research also suggests that there are different types of support that instructors can offer (e.g., emotional support, instrumental support, informational support, and appraisal support). Although such research suggests that students perceive and are affected by these different types of support in different ways, there does not appear to be research surrounding the decision-making process behind instructors offering the support or the extent to which social support is a priority for them in the classroom. …
A Case Study Examining The Experiences Of Middle School Teachers Who Use Manipulatives To Foster The Self-Efficacy Of Students With Math Difficulties, Krishanta Katira Butcher
A Case Study Examining The Experiences Of Middle School Teachers Who Use Manipulatives To Foster The Self-Efficacy Of Students With Math Difficulties, Krishanta Katira Butcher
Doctoral Dissertations and Projects
The purpose of this instrumental case study was to examine the experiences of middle school teachers who use manipulatives during math instruction to foster the self-efficacy of students with mathematics difficulties. Bandura’s theory of self-efficacy was the theoretical framework for this study. The study was conducted at the Starlight School for Exceptional Children and at the Kingsway High School in The Bahamas. I recruited 15 participants for this study that included a combination of special and general education teachers who use manipulatives to provide math instruction to middle school students. To attain optimum results, I collected the data in the …
Defining Characteristics That Lead To Cost-Efficient Veteran Nba Free Agent Signings, David Mccain
Defining Characteristics That Lead To Cost-Efficient Veteran Nba Free Agent Signings, David Mccain
Honors Projects in Mathematics
Throughout the history of the NBA, decisions regarding the signing of free agents have been riddled with complexity. Franchises are tasked with finding out what players will serve as optimal free agent signings prior to seeing them perform within the framework of their team. This study hypothesizes that the adequacy of an NBA free agent signing can be modeled and predicted through the implementation of a machine learning model. The model will learn the necessary information using training and testing data sets that include various player biometrics, game statistics, and financial information. The application of this machine learning model will …
The Theatre Of Math: The Stage As A Tool For Abstract Math Education, Blaine Hudak
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 …
Using A Distributive Approach To Model Insurance Loss, Kayla Kippes
Using A Distributive Approach To Model Insurance Loss, Kayla Kippes
Departmental Honors & Graduate Capstone Projects
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, …
Electric Vehicle Uptake: What Factors Are Motivating The Shift For College-Aged And Older Groups?, Jake Cardines
Electric Vehicle Uptake: What Factors Are Motivating The Shift For College-Aged And Older Groups?, Jake Cardines
Honors Projects in Mathematics
Electric vehicles (EVs) arguably are the most quickly expanding form of transportation as the world races toward a greener future with advanced technology and reduced reliance on fossil fuels. This study analyzes various expected inputs to motivating consumers of particular age groups to purchase EVs, including examination of how the idea of EV ownership is currently perceived and testing which factors influence it positively and negatively. Data collected from 113 survey respondents serves as the basis for determining the responsiveness of potential future EV owners to variables such as vehicle brand and charging availability, electric range, costs associated with purchase …
Digital Game-Based Approach To Math Learning For Students, Gul Ayaz, Katherine Smith
Digital Game-Based Approach To Math Learning For Students, Gul Ayaz, Katherine Smith
Modeling, Simulation and Visualization Student Capstone Conference
Mathematics is an important subject that is pervasive across many disciplines. It is also a subject that has proven to be challenging to both teach and learn. Students face many challenges with learning math such as a lack of motivation and anxiety. To address these challenges, game-based learning has become a popular approach to stimulate students and create a more positive classroom environment. It can serve as an alternative or supplement to traditional teaching and can better engage students while developing a positive attitude toward learning. The use of games in a classroom can create a more exciting and engaging …
Length Bias Estimation Of Small Businesses Lifetime, Simeng Li
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
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
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.
Quantum Computing: Past, Present, And Future, Hannah Culver
Quantum Computing: Past, Present, And Future, Hannah Culver
Student Research and Creative Activity Expo
A look into quantum computing's origins, modern-day real-world applications, and future potential in the scientific community...
How Beneficial Is Open-Mindedness In Vaccination Games On Network-Based Models Of Disease Transmission?, Arabella Hunt
How Beneficial Is Open-Mindedness In Vaccination Games On Network-Based Models Of Disease Transmission?, Arabella Hunt
Student Research and Creative Activity Expo
This is an HTC thesis presentation about the relationship between game theory ad vaccination decisions.
Match Results And The Equity Value Of Publicly Traded Soccer Teams, Ryan Bebyn
Match Results And The Equity Value Of Publicly Traded Soccer Teams, Ryan Bebyn
Honors Projects in Mathematics
This study aims to examine the relationship between the match performance of publicly traded European soccer clubs and their stock price returns. It is important for investors, owners, and fans to understand how competitive factors both on and off the field affect the equity value of European club soccer teams. Competitive factors such as basic match results (Win, Loss, or Draw), rivalry matches, and international matches will be evaluated against the daily stock prices of publicly traded soccer clubs. A sample of teams traded on public exchanges will be used to analyze the effects of their matches on the daily …
Changing Nfl Playoff Overtime Rules To Create Equal Opportunities To Win A Game, Matthew Silvia
Changing Nfl Playoff Overtime Rules To Create Equal Opportunities To Win A Game, Matthew Silvia
Honors Projects in Mathematics
The NFL has attempted to create fair overtime rules over the course of the past decade; however, this study is interested in determining what playoff overtime rule (or rules) could the NFL implement to result in outcomes where both teams have a relatively equal chance of winning a game. This study aims to find which overtime rules work best at minimizing the differences between teams who possess the ball first versus teams that kick the ball off to start an overtime period. By collecting various NFL statistics from ESPN.com and FantasyOutsiders.com, this study hopes to run multiple simulations of different …
Joint Equidistribution Of Maximal Flat Cylinders And Holonomies For Anosov Homogeneous Spaces, Elijah Fromm
Joint Equidistribution Of Maximal Flat Cylinders And Holonomies For Anosov Homogeneous Spaces, Elijah Fromm
Yale Graduate School of Arts and Sciences Dissertations
Let G be a connected semisimple real algebraic group and P < G be a minimal parabolic subgroup with Langlands decomposition P = MAN. Let Γ < G be a Zariski dense Anosov subgroup with respect to P. Since Γ is Anosov, the set of conjugacy classes of primitive elements of Γ is in one-to-one correspondence with the set of (positively oriented) maximal flat cylinders in Γ\G/M. We describe the joint equidistribution of maximal flat cylinders and their holonomies as their circumferences tend to infinity. This result can be viewed as the Anosov analogue of the joint equidistribution result in rank one by Margulis-Mohammadi-Oh.