Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- City University of New York (CUNY) (10)
- Indian Statistical Institute (10)
- John Carroll University (5)
- Bryant University (3)
- Claremont Colleges (3)
-
- Gettysburg College (2)
- Illinois Math and Science Academy (2)
- Selected Works (2)
- Aga Khan University (1)
- Bowling Green State University (1)
- Butler University (1)
- East Tennessee State University (1)
- Florida International University (1)
- GALILEO, University System of Georgia (1)
- Georgia Southern University (1)
- Hamilton College (1)
- Lincoln University (1)
- Linfield University (1)
- Minnesota State University Moorhead (1)
- Oberlin (1)
- Otterbein University (1)
- Rochester Institute of Technology (1)
- The College of Wooster (1)
- The University of Akron (1)
- University of Dayton (1)
- University of Denver (1)
- University of Nebraska - Lincoln (1)
- University of Richmond (1)
- University of South Florida (1)
- University of Southern Maine (1)
- Publication
-
- Doctoral Theses (10)
- Open Educational Resources (10)
- Masters Essays (4)
- Distinguished Student Work (2)
- Honors Projects in Mathematics (2)
-
- Math Faculty Publications (2)
- All HMC Faculty Publications and Research (1)
- Amit Singh (1)
- Articles (1)
- Book Chapters / Conference Papers (1)
- Chancellor’s Honors Program Projects (1)
- Department of Math & Statistics Faculty Publications (1)
- Douglas R Jones (1)
- Electronic Theses and Dissertations (1)
- Electronic Thesis and Dissertation Repository (1)
- FIU Electronic Theses and Dissertations (1)
- Faculty Publications (1)
- Honors College Theses (1)
- Honors Papers (1)
- Honors Projects (1)
- Honors Projects in Accounting (1)
- Journal of Humanistic Mathematics (1)
- Journal of Science Education for Students with Disabilities (1)
- Library Philosophy and Practice (e-journal) (1)
- Math Department Newsletters (1)
- Math for Girls Day Documents (1)
- Mathematics Faculty Scholarship (1)
- Mathematics Honors Papers (1)
- Mathematics Open Textbooks (1)
- Numeracy (1)
- Publication Type
Articles 31 - 60 of 62
Full-Text Articles in Entire DC Network
My Math Gps: Elementary Algebra Guided Problem Solving, Jonathan Cornick, G Michael Guy, Karan Puri
My Math Gps: Elementary Algebra Guided Problem Solving, Jonathan Cornick, G Michael Guy, Karan Puri
Open Educational Resources
My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors. In a paper to appear in PRIMUS, this textbook and accompanying pedagogy showed significant increases in learning outcomes.
Armstrong Calculus, Michael Tiemeyer, Jared Schlieper
Armstrong Calculus, Michael Tiemeyer, Jared Schlieper
Mathematics Open Textbooks
Authors' Description:
An open-source textbook for calculus.
The text is mostly an adaptation of two other excellent open- source calculus textbooks: Active Calculus by Dr. Matt Boelkins of Grand Valley State University and Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen of the Virginia Military Institute and Mount Saint Mary's University. Both of these texts can be found at http://aimath.org/textbooks/approved-textbooks/.
The authors of this text have combined sections, examples, and exercises from the above two texts along with some of their own content to generate this text. The impetus for the creation of this text …
Possible Bias In Asset Valuations: An Application Of The Fraud Risk Triangle To Divorce Cases, Jennifer Tomasetti
Possible Bias In Asset Valuations: An Application Of The Fraud Risk Triangle To Divorce Cases, Jennifer Tomasetti
Honors Projects in Accounting
No abstract provided.
Does Being Bilingual Make You Better At Math?, Enxhi Elezi
Does Being Bilingual Make You Better At Math?, Enxhi Elezi
Honors Projects in Mathematics
The purpose of this study is to examine if there is any relationship between being bilingual, defined as speaking your native language at home and another language in school, and your mathematical ability. Data from the National Longitudinal Study of Adolescent Health was used to compare the math grades of students who were not born in the US and speak English, Spanish, or Other at home. Also, data from the Bryant University first year students was used to test if students who speak a different language at home have a higher mathematical average than their monolingual peers. Results show that …
Mathematical Modeling Of Trending Topics On Twitter, Jonathan S. Skaza
Mathematical Modeling Of Trending Topics On Twitter, Jonathan S. Skaza
Honors Projects in Mathematics
Created in 2006, Twitter is an online social networking service in which users share and read 140-character messages called Tweets. The site has approximately 288 million monthly active users who produce about 500 million Tweets per day. This study applies dynamical and statistical modeling strategies to quantify the spread of information on Twitter. Parameter estimates for the rates of infection and recovery are obtained using Bayesian Markov Chain Monte Carlo (MCMC) methods. The methodological strategy employed is an extension of techniques traditionally used in an epidemiological and biomedical context (particularly in the spread of infectious disease). This study, which addresses …
Inside Out: Properties Of The Klein Bottle, Andrew Pogg, Jennifer Daigle, Deirdra Brown
Inside Out: Properties Of The Klein Bottle, Andrew Pogg, Jennifer Daigle, Deirdra Brown
Thinking Matters Symposium Archive
A Klein Bottle is a two-dimensional manifold in mathematics that, despite appearing like an ordinary bottle, is actually completely closed and completely open at the same time. The Klein Bottle, which can be represented in three dimensions with self-intersection, is a four dimensional object with no intersection of material. In this presentation we illustrate some topological properties of the Klein Bottle, use the Möbius Strip to help demonstrate the construction of the Klein Bottle, and use mathematical properties to show that the Klein Bottle intersection that appears in ℝ3 does not exist in ℝ4. Introduction: Topology
Hurwitz's Theorem, Marianna Malek
Mathematical Explorations Of Card Tricks, Timothy R. Weeks
Mathematical Explorations Of Card Tricks, Timothy R. Weeks
Senior Honors Projects
In this project, we explore various mathematical topics as they apply to an assortment of card tricks. We will focus on an examination of theorems applied to the manipulation of cards in an attempt to prove why certain card tricks work. These theorems utilize abstract algebra, probability, number theory, and combinatorics. Many tricks can be explained this way, instead of singularly by sleight of hand or other “magical” methods. We will rigorously prove the theorems and principles that explain these concepts, focusing primarily on the card tricks and examples presented in Mathematical Card Magic by Colm Mulcahy (2013).
Comparison Of Linear Functions In Middle Grades Textbooks From Singapore And The United States, Linda D. Fowler
Comparison Of Linear Functions In Middle Grades Textbooks From Singapore And The United States, Linda D. Fowler
FIU Electronic Theses and Dissertations
Many U.S. students do not perform well on mathematics assessments with respect to algebra topics such as linear functions, a building-block for other functions. Poor achievement of U.S. middle school students in this topic is a problem.
U.S. eighth graders have had average mathematics scores on international comparison tests such as Third International Mathematics Science Study, later known as Trends in Mathematics and Science Study, (TIMSS)-1995, -99, -03, while Singapore students have had highest average scores. U.S. eighth grade average mathematics scores improved on TIMMS-2007 and held steady onTIMMS-2011. Results from national assessments, PISA 2009 and 2012 and National Assessment …
Is Heyser Still Relevant?, Douglas R. Jones
Is Heyser Still Relevant?, Douglas R. Jones
Douglas R Jones
The author, highlighting excerpts from the writings of Richard C. Heyser, argues that Heyser continues to be relevant in the field of audio engineering nearly three decades after his death. Using material from the Richard C. Heyser Collection, held in the Columbia College Chicago Archives & Special Collections, the author chose comments from the collection, both published and unpublished "which should be at least intriguing and possibly down right shocking."
On Pi Day, A Serving Of Why We Need Math, Darren B. Glass
On Pi Day, A Serving Of Why We Need Math, Darren B. Glass
Math Faculty Publications
Today, our Facebook feeds will be peppered with references to Pi Day, a day of celebration that has long been acknowledged by math fans and that Congress recognized in 2009. Every high schooler learns that pi is the ratio of the circumference of a circle to its diameter and that its decimal expansion begins 3.14 and goes on infinitely without repeating. [excerpt]
A New Undergraduate Curriculum On Mathematical Biology At University Of Dayton, Muhammad Usman, Amit Singh
A New Undergraduate Curriculum On Mathematical Biology At University Of Dayton, Muhammad Usman, Amit Singh
Amit Singh
The beginning of modern science is marked by efforts of pioneers to understand the natural world using a quantitative approach. As Galileo wrote, "the book of nature is written in the language of mathematics". The traditional undergraduate course curriculum is heavily focused on individual disciplines like biology, physics, chemistry, mathematics rather than interdisciplinary courses. This fragmented teaching of sciences in majority of universities leave biology outside the quantitative and mathematical approaches. The landscape of biomedical science has transformed dramatically with advances in high throughput experimental approaches, which led to the huge amount of data. The best possible approach to generate …
Generic Constructions Of Different Cryptographic Primitives Over Various Public Key Paradigms., Sumit Kumar Pandey Dr.
Generic Constructions Of Different Cryptographic Primitives Over Various Public Key Paradigms., Sumit Kumar Pandey Dr.
Doctoral Theses
In this thesis, we study the generic construction of some cryptographic primitives over various public key paradigms like traditional Public Key Cryptosystems and Identity Based Cryptosystems. It can be broadly divided into two categories1. Generic construction of some highly secure cryptographic primitives from less secure cryptographic primitives, and2. Generic construction of some complex cryptographic primitives from basic cryptographic primitives. Mathematical tools provide a way to achieve cryptographic functionality like confidentiality, authentication, data-integrity, non-repudiation etc., but in the case of complex cryptographic functionality like achieving confidentiality and authentication at the same time or confidentiality, authentication and non-repudiation at the same time …
Some Conjugacy Problems In Algebraic Groups., Anirban Bose Dr.
Some Conjugacy Problems In Algebraic Groups., Anirban Bose Dr.
Doctoral Theses
In this thesis we address two problems related to the study of algebraic groups and Lie groups. The first one deals with computation of an invariant called the genus number of a connected reductive algebraic group over an algebraically closed field and that of a compact connected Lie group. The second problem is about characterisation of real elements in exceptional groups of type F4 defined over an arbitrary field. Let G be a connected reductive algebraic group over an algebraically closed field or a compact connected Lie group. Let ZG(x) denote the centralizer of x ∈ G. Define the genus …
A Mathematician's Villanelle, Gizem Karaali
A Mathematician's Villanelle, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
My Finite Field, Matthew Schroeder
My Finite Field, Matthew Schroeder
Journal of Humanistic Mathematics
A love poem written in the language of mathematics.
Improving University Students' Perception Of Mathematics And Mathematics Ability, Shelly L. Wismath, Alyson Worrall
Improving University Students' Perception Of Mathematics And Mathematics Ability, Shelly L. Wismath, Alyson Worrall
Numeracy
Although mathematical and quantitative reasoning skills are an essential part of adult life in our society, many students arrive at post-secondary education without such skills. Taking a standard mathematics course such as calculus may do little to improve those skills. Using a modification of the Tapia & Marsh questionnaire, we surveyed 62 students taking a broad quantitative reasoning course designed to develop quantitative skills, with respect to two broad attitudinal areas: students’ perception of their own ability, confidence and anxiety, and their perception of the value of mathematics in their studies and their lives. Pre- to post-course comparisons were done …
Mathematics In Contemporary Society Chapter 5, Patrick J. Wallach
Mathematics In Contemporary Society Chapter 5, Patrick J. Wallach
Open Educational Resources
Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.
The textbook was posted in weekly installments:
- Chapter 1
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
- Chapter 8
- Chapter 9
- Chapter 10
- Chapter 11
Mathematics In Contemporary Society Chapter 3, Patrick J. Wallach
Mathematics In Contemporary Society Chapter 3, Patrick J. Wallach
Open Educational Resources
Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.
The textbook was posted in weekly installments:
- Chapter 1
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
- Chapter 8
- Chapter 9
- Chapter 10
- Chapter 11
Mathematics In Contemporary Society Chapter 2, Patrick J. Wallach
Mathematics In Contemporary Society Chapter 2, Patrick J. Wallach
Open Educational Resources
Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.
The textbook was posted in weekly installments:
- Chapter 1
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
- Chapter 8
- Chapter 9
- Chapter 10
- Chapter 11
Letters To Joel, David J. Stucki, Joel M. Stucki
Letters To Joel, David J. Stucki, Joel M. Stucki
Mathematics Faculty Scholarship
A professor and his students answer his brother’s question: Is mathematics art?
Factorial Growth Rates For The Number Of Hyperbolic 3-Manifolds Of A Given Volume, Christian Millichap
Factorial Growth Rates For The Number Of Hyperbolic 3-Manifolds Of A Given Volume, Christian Millichap
Faculty Publications
The work of Jørgensen and Thurston shows that there is a finite number N(v) of orientable hyperbolic 3-manifolds with any given volume v. In this paper, we construct examples showing that the number of hyperbolic knot complements with a given volume v can grow at least factorially fast with v. A similar statement holds for closed hyperbolic 3-manifolds, obtained via Dehn surgery. Furthermore, we give explicit estimates for lower bounds of N(v) in terms of v for these examples. These results improve upon the work of Hodgson and Masai, which describes examples that grow exponentially fast with v …
Philosophy Of Mathematics: Theories And Defense, Amy E. Maffit
Philosophy Of Mathematics: Theories And Defense, Amy E. Maffit
Williams Honors College, Honors Research Projects
In this paper I discuss six philosophical theories of mathematics including logicism, intuitionism, formalism, platonism, structuralism, and moderate realism. I also discuss problems that arise within these theories and attempts to solve them. Finally, I attempt to harmonize the best features of moderate realism and structuralism, presenting a theory that I take to best describe current mathematical practice.
The Finite Embeddability Property For Some Noncommutative Knotted Varieties Of Rl And Drl, Riquelmi Salvador Cardona Fuentes
The Finite Embeddability Property For Some Noncommutative Knotted Varieties Of Rl And Drl, Riquelmi Salvador Cardona Fuentes
Electronic Theses and Dissertations
Residuated lattices, although originally considered in the realm of algebra providing a general setting for studying ideals in ring theory, were later shown to form algebraic models for substructural logics. The latter are non-classical logics that include intuitionistic, relevance, many-valued, and linear logic, among others. Most of the important examples of substructural logics are obtained by adding structural rules to the basic logical calculus FL. We denote by 𝖱𝖫𝑛 � the varieties of knotted residuated lattices. Examples of these knotted rules include integrality and contraction. The extension of �� by the rules corresponding to these two equations is …
Teacher Influence On Elementary School Students’ Participation In Science, Technology, Engineering, And Mathematics, Courtney Hartman
Teacher Influence On Elementary School Students’ Participation In Science, Technology, Engineering, And Mathematics, Courtney Hartman
Honors College Theses
The purpose of this study is to explore the influence of elementary school teachers on encouraging students’ interest and participation in Science, Technology, Engineering, and Mathematics. The researcher sought to understand what methods teachers use in their classrooms to encourage students to participate in STEM subjects and programs. This mixed methods study consisted of a questionnaire to collect quantitative data, as well as an interview of selected teachers who participated in the questionnaire to collect qualitative data. The data was analyzed to determine the overall perceptions of teachers regarding the importance of encouraging students to participate in STEM. The qualitative …
Mathematics Education In A Multilingual And Multicultural Environment, Anjum Halai, Richard Barwell
Mathematics Education In A Multilingual And Multicultural Environment, Anjum Halai, Richard Barwell
Book Chapters / Conference Papers
No abstract provided.
I Don't Play Chess: A Study Of Chess Piece Generating Polynomials, Stephen R. Skoch
I Don't Play Chess: A Study Of Chess Piece Generating Polynomials, Stephen R. Skoch
Senior Independent Study Theses
This independent study examines counting problems of non-attacking rook, and non-attacking bishop placements. We examine boards for rook and bishop placement with restricted positions and varied dimensions. In this investigation, we discuss the general formula of a generating function for unrestricted, square bishop boards that relies on the Stirling numbers of the second kind. We discuss the maximum number of bishops we can place on a rectangular board, as well as a brief investigation of non-attacking rook placements on three-dimensional boards, drawing a connection to latin squares.
Mathematics In Contemporary Society Chapter 4, Patrick J. Wallach
Mathematics In Contemporary Society Chapter 4, Patrick J. Wallach
Open Educational Resources
Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.
The textbook was posted in weekly installments:
- Chapter 1
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
- Chapter 8
- Chapter 9
- Chapter 10
- Chapter 11 …
A Survey On Reverse Carleson Measures, Emmanuel Fricain, Andreas Hartmann, William T. Ross
A Survey On Reverse Carleson Measures, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Department of Math & Statistics Faculty Publications
This is a survey on reverse Carleson measures for various Hilbert spaces of analytic functions. These spaces include the Hardy, Bergman, certain harmonically weighted Dirichlet, Paley-Wiener, Fock, model (backward shift invariant), and de Branges-Rovnyak spaces. The reverse Carleson measure for backward shift invariant subspaces in the non-Hilbert situation is new.
Non-Simplicial Decompositions Of Betti Diagrams Of Complete Intersections, Courtney Gibbons, Jack Jeffries, Sarah Mayes-Tang, Claudiu Raicu, Branden Stone, Bryan White
Non-Simplicial Decompositions Of Betti Diagrams Of Complete Intersections, Courtney Gibbons, Jack Jeffries, Sarah Mayes-Tang, Claudiu Raicu, Branden Stone, Bryan White
Articles
We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij-Soederberg theory. That is, given a Betti diagram, we decompose it into pure diagrams. Relaxing the requirement that the degree sequences in such pure diagrams be totally ordered, we are able to define a multiplication law for Betti diagrams that respects the decomposition and allows us to write a simple expression of the decomposition of the Betti diagram of any complete intersection in terms of the degrees of its minimal generators. In the more traditional sense, the decomposition of complete intersections of codimension at most 3 …