Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Mathematics (1122)
- Education (233)
- Applied Mathematics (135)
- Arts and Humanities (131)
- Other Mathematics (110)
-
- Science and Mathematics Education (104)
- Algebra (84)
- Social and Behavioral Sciences (80)
- Computer Sciences (69)
- Higher Education (60)
- Statistics and Probability (60)
- Engineering (54)
- Life Sciences (43)
- Geometry and Topology (41)
- Analysis (40)
- Discrete Mathematics and Combinatorics (33)
- History (33)
- Curriculum and Instruction (30)
- Teacher Education and Professional Development (30)
- Logic and Foundations (28)
- Number Theory (28)
- Other Applied Mathematics (28)
- Algebraic Geometry (27)
- Physics (23)
- Medicine and Health Sciences (20)
- Business (19)
- Library and Information Science (19)
- Philosophy (19)
- Educational Assessment, Evaluation, and Research (18)
- Institution
-
- Indian Statistical Institute (204)
- Claremont Colleges (102)
- University of South Carolina (67)
- Illinois Math and Science Academy (44)
- Bryant University (42)
-
- Selected Works (42)
- University of South Florida (41)
- Minnesota State University Moorhead (38)
- University of New Mexico (36)
- The College of Wooster (27)
- University of Denver (27)
- Western Kentucky University (25)
- University of Rhode Island (22)
- City University of New York (CUNY) (21)
- Southwestern Oklahoma State University (20)
- University of Richmond (20)
- Hamilton College (18)
- John Carroll University (17)
- Georgia Southern University (16)
- Brigham Young University (13)
- California State University, San Bernardino (13)
- Old Dominion University (13)
- Technological University Dublin (13)
- Dartmouth College (12)
- Dordt University (12)
- Lincoln University (12)
- The University of Maine (12)
- Virginia Commonwealth University (12)
- Bridgewater State University (11)
- Utah State University (11)
- Publication
-
- Doctoral Theses (204)
- Faculty Publications (71)
- Journal of Humanistic Mathematics (56)
- Numeracy (40)
- Electronic Theses and Dissertations (39)
-
- Math Department Newsletters (38)
- Branch Mathematics and Statistics Faculty and Staff Publications (35)
- Honors Projects in Mathematics (32)
- All HMC Faculty Publications and Research (27)
- Senior Independent Study Theses (27)
- Theses and Dissertations (23)
- Open Educational Resources (22)
- Oklahoma Research Day Abstracts (18)
- Department of Math & Statistics Faculty Publications (17)
- Series (17)
- Manuscript Collection Finding Aids (16)
- Masters Essays (16)
- Posters (16)
- Honors Theses (12)
- Faculty Work Comprehensive List (11)
- Library Impact Statements (11)
- Math for Girls Day Documents (11)
- Walden Dissertations and Doctoral Studies (11)
- Dartmouth Scholarship (10)
- Honors Program Theses and Projects (9)
- Mathematics & Computer Science Student Scholarship (9)
- Master's Theses (8)
- Williams Honors College, Honors Research Projects (8)
- All Master's Theses (7)
- Articles (7)
- Publication Type
Articles 121 - 150 of 1369
Full-Text Articles in Physical Sciences and Mathematics
How Does Fico Score Discriminates People?, Stephana Lim '22
How Does Fico Score Discriminates People?, Stephana Lim '22
Posters
The FICO Score, the standard credit score, is used as a weapon of mathematical destruction as its algorithm creates a systematic discrimination against a disadvantaged racial group.
A New Metaphor: How Artificial Intelligence Links Legal Reasoning And Mathematical Thinking, Melissa E. Love Koenig, Colleen Mandell
A New Metaphor: How Artificial Intelligence Links Legal Reasoning And Mathematical Thinking, Melissa E. Love Koenig, Colleen Mandell
Marquette Law Review
Artificial intelligence’s (AI’s) impact on the legal community expands exponentially each year. As AI advances, lawyers have more powerful tools to enhance their ability to research and analyze the law, as well as to draft contracts and other legal documents. Lawyers are already using tools powered by AI and are learning to shift their methodologies to take advantage of these enhancements. To continue to grow into their shifting role, lawyers should understand the relationship between AI, mathematics, and legal reasoning.
Experiential Learning In Mathematics, Lara Speer '23
Experiential Learning In Mathematics, Lara Speer '23
Posters
The United States lags behind many other developed countries in math skills. The root of the problem lies not in mathematics itself, but in the way the United States approaches teaching math through memorization. One alternative pedagogical method to memorization is experiential learning, which is the process during which students acquire new knowledge through experience and is meant to reflect the way people learn in the real world.
Bail Reform, Matthew Shang '22
Bail Reform, Matthew Shang '22
Posters
The Public Safety Assessment (PSA) to assess the likelihood of pretrial risk. Then, the information is used to decide the conditions of release, including components like bail. The factors used are related only to age and criminal history. In short, the algorithm helps judges make more informed decisions.
Bias In Mortgage Approval Algorithms, Carter Steckbeck '22
Bias In Mortgage Approval Algorithms, Carter Steckbeck '22
Posters
In recent years, financial institutions are using machine learning algorithms for the mortgage approval process. Utilizing hundreds of complex variables, they decide whether an applicant gets approved. Recent studies have shown that people of color are disproportionately denied at higher rates for mortgages compared to White individuals.
The Effect Of Social Media On Polarization, John Burt '22
The Effect Of Social Media On Polarization, John Burt '22
Posters
This poster attempts to look at the impact of social media on political polarization in the United States. Since the 2016 elections, there has been a shift in the political parties and their constituencies away from the center. Some have argued that a large part of this is due to the algorithms that social media use.
Is U.S. News College Ranking A Weapon Of Math Destruction?, Zhipeng Kui '22
Is U.S. News College Ranking A Weapon Of Math Destruction?, Zhipeng Kui '22
Posters
This poster presents Cathy O’Neil’s arguments from her book Weapons of Math Destruction and connects them with Columbia’s ongoing ranking scandal to show why we should view U.S. News college ranking as a WMD.
Tips For Success In Math Courses, Joshua Horowitz '22
Tips For Success In Math Courses, Joshua Horowitz '22
Posters
Five steps in the development process for succeeding in mathematics.
Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams
Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams
Honors Theses
Piccirillo recently discovered a process that can be applied to an unknotting number one knot to convert it into a different knot called a Piccirillo dual. Piccirillo duals have been shown to have the same n-trace and the same sliceness. However, exploration and knowledge of this process is limited. We were able to generate the Piccirillo duals for several low-crossing number knots. We offer the foundation for and explain how to follow the Piccirillo process and generate Piccirillo duals. This talk assumes little knowledge of knot theory and concisely gives newcomers a clear introduction to get started working with Piccirillo …
Data Analytics And Visualization Dsp 562, Harrison Dekker
Data Analytics And Visualization Dsp 562, Harrison Dekker
Collection Development Reports and Documents
No abstract provided.
Advanced Topics In Machine Learning Dsp 566, Harrison Dekker
Advanced Topics In Machine Learning Dsp 566, Harrison Dekker
Collection Development Reports and Documents
No abstract provided.
Introduction To Statistical Computing Dsp 565, Harrison Dekker
Introduction To Statistical Computing Dsp 565, Harrison Dekker
Collection Development Reports and Documents
No abstract provided.
Mathematical Foundations For Data Science Ams/Dsp 563, Harrison Dekker
Mathematical Foundations For Data Science Ams/Dsp 563, Harrison Dekker
Collection Development Reports and Documents
No abstract provided.
Advanced Database Concepts, Cloud Computing And Big Data Dsp 567, Harrison Dekker
Advanced Database Concepts, Cloud Computing And Big Data Dsp 567, Harrison Dekker
Collection Development Reports and Documents
No abstract provided.
Linear Nearest Neighbor Flocks With All Distinct Agents, Robert G. Lyons
Linear Nearest Neighbor Flocks With All Distinct Agents, Robert G. Lyons
Dissertations and Theses
This dissertation analyzes the global dynamics of 1-dimensional agent arrays with nearest neighbor linear couplings. The equations of motion are second order linear ODE's with constant coefficients. The novel part of this research is that the couplings are different for each agent. We allow the forces to depend on the relative position and relative velocity (damping terms) of the agents, and the coupling magnitudes differ for each agent. Further, we do not assume that the forces are "Newtonian'" (i.e., the force due to A on B equals minus the force of B on A) as this assumption does not apply …
A Non-Euclidean Story Or: How To Persist When Your Geometry Doesn’T, Rami Luisto
A Non-Euclidean Story Or: How To Persist When Your Geometry Doesn’T, Rami Luisto
Journal of Humanistic Mathematics
Too little mathematics has been written in prose. Thus we prove here, via a fantasy novellette, that a locally L-bilipschitz mapping f : X → Y between uniformly Ahlfors q-regular, complete and locally compact path-metric spaces X and Y is an L-bilipschitz map when Y is simply connected. The motivation for such a result arises from studying the asymptotic values of BLD-mappings with an empty branch set.
As far as the author is aware, the result is new, even though it would not be hard for specialists in the field to prove. The proof is essentially a modest extension of …
Alice’S Adventures In Wonderland: Carroll’S Symbolic Attack On Mathematical Symbolism, Firdous Ahmad Mala
Alice’S Adventures In Wonderland: Carroll’S Symbolic Attack On Mathematical Symbolism, Firdous Ahmad Mala
Journal of Humanistic Mathematics
In 2009, a literature scholar, Melanie Bayley, proposed that Lewis Carroll's famous books about Alice visiting the magical and illogical Wonderland were attempts to mock and critique the modern mathematics of the day. In this short paper, I aim to support Bayley's thesis and expound upon Carroll's artful use of symbolism to attack excessive use of symbolism in mathematics.
The Hamster Diaries, Pamela B. Pierce
The Hamster Diaries, Pamela B. Pierce
Journal of Humanistic Mathematics
When the pandemic hits, the author acquires a hamster, who provides some humorous anecdotes and some much-needed inspiration.
Makers Do Math! Legitimizing Informal Mathematical Practices Within Making Contexts, Amber Simpson, Signe Kastberg
Makers Do Math! Legitimizing Informal Mathematical Practices Within Making Contexts, Amber Simpson, Signe Kastberg
Journal of Humanistic Mathematics
In this paper, we argue that making activities within non-formal learning environments (e.g., museums, libraries) provide opportunities to engage youth in what we define as mathematical practices for making, everyday mathematical practices within the context of making activities. The mathematical practices identified from two non-formal school-based contexts highlighted three mathematical practices for making: informal measurement, spatial reasoning, and curiosity. These practices are identified in prior scholarship as being beneficial and foundational for the understanding of mathematical concepts. As educators and researchers turn to non-formal and informal contexts, with an eye toward understanding ways youth engage in the activity of making, …
A Tale Of Four Departments: Interdisciplinary Faculty Learning Communities Informing Mathematics Education, Bryan D. Poole, Caroline Maher-Boulis, John Hearn, Jason Robinson, Patricia Mcclung, Amanda Jones
A Tale Of Four Departments: Interdisciplinary Faculty Learning Communities Informing Mathematics Education, Bryan D. Poole, Caroline Maher-Boulis, John Hearn, Jason Robinson, Patricia Mcclung, Amanda Jones
Journal of Mathematics and Science: Collaborative Explorations
As a result of the Curriculum Foundations Project and the SUMMIT-P consortium, faculty from four different departments at Lee University created a Faculty Learning Community (FLC) with the goal of improving students’ attitudes toward undergraduate mathematics courses, including students’ perception of the utility of mathematics in their lives and the feelings of anxiety that they experience in these courses. The interdisciplinary collaborations resulted in introducing novel activities and manipulatives in various mathematics courses (Introduction to Statistics, Concepts of Mathematics I and II, and Algebra for Calculus). This paper first describes the efforts of creating the inter-departmental FLC. Second, it discusses …
Using An Interdisciplinary Case Study To Incorporate Quantitative Reasoning In Social Work, Nursing, And Mathematics, Elizabeth Post, Mischelle Stone, Lauren Cavner Williams, Mary Beaudry
Using An Interdisciplinary Case Study To Incorporate Quantitative Reasoning In Social Work, Nursing, And Mathematics, Elizabeth Post, Mischelle Stone, Lauren Cavner Williams, Mary Beaudry
Journal of Mathematics and Science: Collaborative Explorations
Through the national consortium, SUMMIT-P, Ferris State University faculty collaborated to develop and scaffold mathematics and quantitative reasoning across disciplines to reduce math anxiety. Participants in this collaborative group included faculty from social work, nursing, and mathematics who developed a case study on a Hurricane Katrina scenario that necessitated calculating the need for emergency shelter, water, food, and medicine, and as a response to the potential for a Malaria outbreak. This particular case study allowed faculty to use the lens of social justice to teach mathematical concepts and provided an avenue for nursing and social work students to engage in …
The Effects Of Stem And Non-Stem Mathematics Corequisite Courses On Student Success At Public Institutions In West Virginia, Vanessa S. Keadle
The Effects Of Stem And Non-Stem Mathematics Corequisite Courses On Student Success At Public Institutions In West Virginia, Vanessa S. Keadle
Theses, Dissertations and Capstones
This study explored the differences in student success outcomes between students enrolled in non-STEM and STEM corequisite mathematics courses at 18 postsecondary institutions across five academic years in West Virginia, using de-identified student data. The researcher analyzed this extant data to determine if student characteristics were predictors of success, as defined as passing the mathematics corequisite course, retention to the next semester, and earning a GPA of 2.0 or higher. The researcher also conducted analyses to understand if the differences in those outcomes between STEM and non-STEM courses were significant. This study identified statistically significant gaps in success for students …
Math Department 2021-2022 Newsletter, Mathematics Department
Math Department 2021-2022 Newsletter, Mathematics Department
Mathematics Newsletter
Welcome to our annual Mathematics Department Newsletter. As we are slowly coming out of the pandemic, we were able to resume many of our normal events.
Making Upper-Level Math Accessible To A Younger Audience, Allyson Roller
Making Upper-Level Math Accessible To A Younger Audience, Allyson Roller
WWU Honors College Senior Projects
Symmetry is all around us. It appears on fabrics and on the buildings that surround us. Believe it or not, there is actually quite a bit of math that goes into generating these patterns, which are known as the seven frieze patterns. In my work, I explain how each unique pattern is generated using different types of symmetries. I also created a PDF of a children’s book about frieze patterns to ensure that people of all ages have the opportunity to learn about seemingly complex patterns.
Measure-Theoretically Mixing Subshifts With Low Complexity, Darren Creutz, Ronnie Pavlov, Shaun Rodock
Measure-Theoretically Mixing Subshifts With Low Complexity, Darren Creutz, Ronnie Pavlov, Shaun Rodock
Mathematics: Faculty Scholarship
We introduce a class of rank-one transformations, which we call extremely elevated staircase transformations. We prove that they are measure-theoretically mixing and, for any f : N → N with f (n)/n increasing and ∑ 1/f (n) < ∞, that there exists an extremely elevated staircase with word complexity p(n) = o(f (n)). This improves the previously lowest known complexity for mixing subshifts, resolving a conjecture of Ferenczi.
Local Finiteness And Automorphism Groups Of Low Complexity Subshifts, Ronnie Pavlov, Scott Schmieding
Local Finiteness And Automorphism Groups Of Low Complexity Subshifts, Ronnie Pavlov, Scott Schmieding
Mathematics: Faculty Scholarship
We prove that for any transitive subshift X with word complexity function cn(X), if lim inf(log(cn(X)/n)/(log log log n)) = 0, then the quotient group Aut(X, σ)/〈 σ〉 of the automorphism group of X by the subgroup generated by the shift σ is locally finite. We prove that significantly weaker upper bounds on cn(X) imply the same conclusion if the gap conjecture from geometric group theory is true. Our proofs rely on a general upper bound for the number of automorphisms of X of range n in terms of word complexity, which may be …
Grade K-5 Teachers’ Perceptions Of Professional Development That Supports Mathematics Instruction, Shannon Annette Manley
Grade K-5 Teachers’ Perceptions Of Professional Development That Supports Mathematics Instruction, Shannon Annette Manley
Walden Dissertations and Doctoral Studies
Many Grade K-5 teachers in the United States do not receive the mathematics support they need from the professional development (PD) activities offered by their school districts. The purpose of this qualitative research was to explore the perceptions of Grade K-5 teachers on the PD activities they received from their school district to support mathematics instruction. The conceptual framework that supported this study was andragogy, an adult learning theory that takes the learner’s needs into account and values the connection to real-world situations. The research question addressed how Grade K-5 teachers perceive the PD that they were offered by their …
Highlights Generation For Tennis Matches Using Computer Vision, Natural Language Processing And Audio Analysis, Alon Liberman
Highlights Generation For Tennis Matches Using Computer Vision, Natural Language Processing And Audio Analysis, Alon Liberman
Senior Independent Study Theses
This project uses computer vision, natural language processing and audio analysis to automatize the highlights generation task for tennis matches. Computer vision techniques such as camera shot detection, hough transform and neural networks are used to extract the time intervals of the points. To detect the best points, three approaches are used. Point length suggests which points correspond to rallies and aces. The audio waves are analyzed to search for the highest audio peaks, which indicate the moments where the crowd cheers the most. Sentiment analysis, a natural language processing technique, is used to look for points where the commentators …
Mathematical Reasoning: Writing And Proof (Pretext Edition), Ted Sundstrom
Mathematical Reasoning: Writing And Proof (Pretext Edition), Ted Sundstrom
Open Textbooks
Mathematical Reasoning: Writing and Proof is a text for the first college mathematics course that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.
Mathematical Reasoning: Writing and Proof (PreTeXt Edition) was developed as part of the Accelerating Open Educational Resources Initiative at Grand Valley State University , with support from the University Libraries and the President's Innovation Fund.
Mathematical Reasoning: Writing and Proof was written by Ted Sundstrom, Professor Emeritus of Mathematics at Grand Valley State University. This textbook was converted into PreTeXt by Ian Curtis, Editorial Assistant for the …
Banach Spaces On Topological Ramsey Structures, Cheng-Chih Ko
Banach Spaces On Topological Ramsey Structures, Cheng-Chih Ko
Electronic Theses and Dissertations
A Banach space T1(d, θ) with a Tsirelson-type norm is constructed on the top of the topological Ramsey space T1 defined by Dobrinen and Todorcevic [6]. Finite approximations of the isomorphic subtrees are utilised in constructing the norm. The subspace on each “branch” of the tree is shown to resemble the structure of an ℓ∞n+1 -space where the dimension corresponds to the number of terminal nodes on that branch. The Banach space T1(d, θ) is isomorphic to (∑n∊ℕ⊕ℓ∞n+1)p , where d ∈ ℕ with d ≥ 2, …