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Full-Text Articles in Physical Sciences and Mathematics

Remote Learning Assignment, Ryan Schneider May 2020

Remote Learning Assignment, Ryan Schneider

Lesson Plans

No abstract provided.


A New Asymmetric Encryption Algorithm Involving Both Group And Number Theory: Derivation Of The Lucente Stabile Atkins Cryptosystem Using Gauss’S Generalization Of Wilson’S Theorem, Francesco Lucente Stabile, Carey Atkins, Arthur James Rosenthal May 2020

A New Asymmetric Encryption Algorithm Involving Both Group And Number Theory: Derivation Of The Lucente Stabile Atkins Cryptosystem Using Gauss’S Generalization Of Wilson’S Theorem, Francesco Lucente Stabile, Carey Atkins, Arthur James Rosenthal

Research Day

Our research led to the discovery of an asymmetric encryption algorithm that follows Kerckhoff's principle and relies on a specific case of Gauss's Generalization of Wilson's Theorem. Unlike prime factorization based algorithms, the eavesdropping cryptanalyst has no indication that he has successfully decrypted the cyphertext. For this reason, we aim to show that this algorithm is not only more secure than existing asymmetric algorithms, but it has the potential to be significantly computationally faster.


Beginning Algebra Made Useful, Charlene E. Beckmann May 2020

Beginning Algebra Made Useful, Charlene E. Beckmann

Open Textbooks

Beginning Algebra Made Useful addresses the needs of learners to make sense of algebra by quantifying and generalizing everyday occurrences such as commuting to work, buying gas or pizza, and determining the better deal. It requires learners to actively engage with algebraic concepts through physical and thought experiments in ways that help them connect ideas, representations, and contexts, and solve problems that arise in their daily lives. The text helps learners grow their brains and develop growth mindsets as they learn algebra conceptually. Problem sets continue the process, extending work begun in each lesson, applying new understandings to new contexts ...


Exploring Pedagogical Empathy Of Mathematics Graduate Student Instructors, Karina Uhing May 2020

Exploring Pedagogical Empathy Of Mathematics Graduate Student Instructors, Karina Uhing

Dissertations, Theses, and Student Research Papers in Mathematics

Interpersonal relationships are central to the teaching and learning of mathematics. One way that teachers relate to their students is by empathizing with them. In this study, I examined the phenomenon of pedagogical empathy, which is defined as empathy that influences teaching practices. Specifically, I studied how mathematics graduate student instructors conceptualize pedagogical empathy and analyzed how pedagogical empathy might influence their teaching decisions. To address my research questions, I designed a qualitative phenomenological study in which I conducted observations and interviews with 11 mathematics graduate student instructors who were teaching precalculus courses at the University of Nebraska—Lincoln.

In ...


Searching Games: A Bound For The Responder, Jose Garcia Apr 2020

Searching Games: A Bound For The Responder, Jose Garcia

Student Scholars Day Oral Presentations

A searching game with two unknowns and a lie involves two players, the responder and the questioner. Before the start of the game, the two parties predetermine an amount of numbers n to consider, and how many questions k the questioner can ask before the game ends with a victory (or loss) for the responder. The responder thinks of two secret numbers. The questioner asks questions of the form "How many of your two numbers are in the subset Q of the set {0,...,n-1}?", in an attempt to search and find what the two secret numbers are. If the ...


Fern Or Fractal... Or Both?, Christina Babcock Apr 2020

Fern Or Fractal... Or Both?, Christina Babcock

Research and Scholarship Symposium Posters

Fractals are series of self similar sets and can be found in nature. After researching the Barnsley Fern and the iterated function systems using to create the fractal, I was able to apply what I learned to create a fractal shell. This was done using iterated function systems, matrices, random numbers, and Python coding.


Mat 116 Introduction To Calculus - Course Material, Ayesha Maliwal Bundy Apr 2020

Mat 116 Introduction To Calculus - Course Material, Ayesha Maliwal Bundy

Teaching, Learning & Research Documents

Updated addendum to MAT 116 (Introduction to Calculus) syllabus, updated course timeline (both before and after the storms since many students lost power) and a contingency plan for their course team.


Mat 127 (Calculus Ii) - Course Syllabus, David Bradley Mar 2020

Mat 127 (Calculus Ii) - Course Syllabus, David Bradley

Teaching, Learning & Research Documents

Updated syllabus of MAT 127 (Calculus II) class. The update reflects the change in course format necessitated by the mandated transition to off-campus online instruction.


Mat 426 Real Analysis Ii - Course Syllabus, David Bradley Mar 2020

Mat 426 Real Analysis Ii - Course Syllabus, David Bradley

Teaching, Learning & Research Documents

Updated syllabus of MAT 426 (Introduction to Real Analysis II) class. The update reflects the change in course format necessitated by the mandated transition to off-campus online instruction.


Teaching A University Course On The Mathematics Of Gambling, Stewart N. Ethier, Fred M. Hoppe Feb 2020

Teaching A University Course On The Mathematics Of Gambling, Stewart N. Ethier, Fred M. Hoppe

UNLV Gaming Research & Review Journal

Courses on the mathematics of gambling have been offered by a number of colleges and universities, and for a number of reasons. In the past 15 years, at least seven potential textbooks for such a course have been published. In this article we objectively compare these books for their probability content, their gambling content, and their mathematical level, to see which ones might be most suitable, depending on student interests and abilities. This is not a book review (e.g., none of the books is recommended over others) but rather an essay offering advice about which topics to include in ...


The User's Guide Project: Looking Back And Looking Forward, Don Larson, Kristen Mazur, David White, Carolyn Yarnall Jan 2020

The User's Guide Project: Looking Back And Looking Forward, Don Larson, Kristen Mazur, David White, Carolyn Yarnall

Journal of Humanistic Mathematics

In 2014 Luke Wolcott created the User's Guide Project, in which a group of algebraic topologists came together to write user's guides to coincide with their research papers in hopes of making their research more accessible. We examine the role of this innovative project within the greater mathematics community. We discuss the structure and history of the project, its impact on the community, and its value to the participants of the project. We end by encouraging the math community to recognize the value of the project and expand the User's Guide Project to other subfields.


On Not Teaching Addition: A Homeschooling Parent Teaches And Researches Math, Marion D. Cohen Jan 2020

On Not Teaching Addition: A Homeschooling Parent Teaches And Researches Math, Marion D. Cohen

Journal of Humanistic Mathematics

Interactions with the humans in one’s life can have bearings on the way one interacts with one’s work – and vice versa. In particular, the ways in which a math person who is also a parent interacts with their children can correlate with the ways that person interacts with students, colleagues, and with math itself. This article describes some of that correlation in one mathmom’s life. In particular, this mathmom worked toward balancing, both as a mom and as a teacher, her beliefs and feelings with societal mindsets and practices.


Hamid Behmard Interview 2020, Nicholas H. Sieber, Ben Thompson, Garak Garza Jan 2020

Hamid Behmard Interview 2020, Nicholas H. Sieber, Ben Thompson, Garak Garza

Oral Histories of Western Oregon University

Oral Interview with the Division Chair of Natural Science and Mathematics Hamid Behmard.


Communicating In Crisis Situations, Rick Gorvett, Chris Morse, Julie Volkman Jan 2020

Communicating In Crisis Situations, Rick Gorvett, Chris Morse, Julie Volkman

Communication Journal Articles

Communicating technical information, especially in a crisis situation and particularly when the audience does not share the technical background, is a challenge that actuaries frequently face. This essay describes the dynamics and issues involved in crisis communications and provides some recommendations for actuaries confronting such a situation.


Math 3100: Communication And Proof - Assessment, Shawn Mcmurran, Min-Lin Lo, Corrine Johnson, Laura Wallace Jan 2020

Math 3100: Communication And Proof - Assessment, Shawn Mcmurran, Min-Lin Lo, Corrine Johnson, Laura Wallace

Q2S Enhancing Pedagogy

As a group, we hope through this FLC project to develop a course that promotes departmental SLOs, as well as University learning outcomes for a writing-intensive course. We focused on our new foundational course (MATH 3100 Mathematical Thinking: Communication and Proof). This course, designated as a writing-intensive course, introduces students to disciplinary ways of thinking and communicating in mathematics with emphasis on the construction of valid mathematical arguments, critiques of arguments, and structure of professional mathematical writing including typesetting. We would like to develop a library of useful materials that faculty members can adapt in their classrooms in order to ...


Use Of Calculators In High School Mathematics, Alex Mcdaniel Jan 2020

Use Of Calculators In High School Mathematics, Alex Mcdaniel

Williams Honors College, Honors Research Projects

For many collegiate level mathematics courses at universities across the country, students are not allowed to use calculators. This is often a huge adjustment for students who have spent their entire high school career using calculators. Whether it is graphing or simple arithmetic, students relied on calculators in high school, but for college, the tool of a calculator may not be available for them. This leads to a multitude of questions: Should calculators be used in high school? Do calculators help students learn or are they simply a tool to get answers? Are calculators beneficial in some courses, but not ...


Math 3100 - Mathematical Thinking: Communication And Proof - Week 1 Outline, Laura J. Wallace, Cory Johnson, Shawn Mcmurran, Min-Lin Lo Jan 2020

Math 3100 - Mathematical Thinking: Communication And Proof - Week 1 Outline, Laura J. Wallace, Cory Johnson, Shawn Mcmurran, Min-Lin Lo

Q2S Enhancing Pedagogy

As a group, we hope through this FLC project to develop a course that promotes departmental SLOs, as well as University learning outcomes for a writing-intensive course. We focused on our new foundational course (MATH 3100 Mathematical Thinking: Communication and Proof). This course, designated as a writing-intensive course, introduces students to disciplinary ways of thinking and communicating in mathematics with emphasis on the construction of valid mathematical arguments, critiques of arguments, and structure of professional mathematical writing including typesetting. We would like to develop a library of useful materials that faculty members can adapt in their classrooms in order to ...


A Cool Brisk Walk Through Discrete Mathematics, Stephen Davies Jan 2020

A Cool Brisk Walk Through Discrete Mathematics, Stephen Davies

Computer Science

A Cool Brisk Walk Through Discrete Mathematics - and its companion site "allthemath" - are completely-and-forever-free-and-open-source educational materials dedicated to the mathematics that budding computer science practitioners actually need to know. They feature the fun and addictive teaching of award-winning lecturer Dr. Stephen Davies of the University of Mary Washington in Fredericksburg, Virginia!


Reflection On Use Of The "Reacting To The Past" Pedagogy In A History Of Mathematics Course, Davida Fischman Dec 2019

Reflection On Use Of The "Reacting To The Past" Pedagogy In A History Of Mathematics Course, Davida Fischman

Q2S Enhancing Pedagogy

This brief report provides a reflection on the use of the "Reacting to the Past" (RTTP) pedagogy in a History of Mathematics classroom. The conclusion is drawn that the RTTP pedagogy is very successful in engaging students in active learning, and appropriate games may be utilized to help students learn about the role of mathematics in historical developments as well as in society today.


Student Perceptions Of Learning Introductory Mathematics In An Online Environment In Higher Education, Jamie Lynn Brooks Nov 2019

Student Perceptions Of Learning Introductory Mathematics In An Online Environment In Higher Education, Jamie Lynn Brooks

Doctoral Dissertations and Projects

The purpose of this transcendental phenomenological study was to describe the essence of student perception of learning introductory mathematics courses in an online environment at the college level. The central research question was, “What are the lived experiences of students who have completed introductory college mathematics courses in the online learning environment?” The phenomenon described was that of the beliefs and attitudes of the students who participated in introductory mathematics courses on the college level. The ideas explored were if students believe they learn effectively in this environment and how they believe they can best learn. Student beliefs and attitudes ...


Nonsupereulerian Graphs With Large Size, Paul A. Catlin, Zhi-Hong Chen Oct 2019

Nonsupereulerian Graphs With Large Size, Paul A. Catlin, Zhi-Hong Chen

Zhi-Hong Chen

No abstract provided.


Mathematical Modeling (Fvsu), Samuel Cartwright, Bhavana Burell Oct 2019

Mathematical Modeling (Fvsu), Samuel Cartwright, Bhavana Burell

Mathematics Grants Collections

This Grants Collection for Mathematical Modeling was created under a Round Thirteen ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Each collection contains the following materials:

  • Linked Syllabus
  • Initial Proposal
  • Final Report


The Laws Of Complexity & The Complexity Of Laws: The Implications Of Computational Complexity Theory For The Law, Eric Kades Sep 2019

The Laws Of Complexity & The Complexity Of Laws: The Implications Of Computational Complexity Theory For The Law, Eric Kades

Eric A. Kades

No abstract provided.


The Current State Of High School Female And Minority Self-Efficacy And Interest In Stem In Chatham County, Georgia, Sara Gremillion, Sarah Zingales, William Baird, Nia Hunter, Amy Durden, Sabrina Hessinger Sep 2019

The Current State Of High School Female And Minority Self-Efficacy And Interest In Stem In Chatham County, Georgia, Sara Gremillion, Sarah Zingales, William Baird, Nia Hunter, Amy Durden, Sabrina Hessinger

Georgia Educational Researcher

With the growing demand for science, technology, engineering, and mathematics (STEM) jobs in the U.S., the attainment of college degrees in these areas is of paramount importance. Both federal and state governments have established initiatives to grow the number of STEM degrees earned by women and racial minorities, as these groups graduate in STEM disciplines and work in STEM fields at a lower rate than that of their majority counterparts. The factors that can deter women and underrepresented minorities from pursuing STEM careers have been identified with one of the most prominent being low self-efficacy, or a reduced belief ...


Book Review: The Seduction Of Curves By Allan Mcrobie, Hans J. Rindisbacher Jul 2019

Book Review: The Seduction Of Curves By Allan Mcrobie, Hans J. Rindisbacher

Journal of Humanistic Mathematics

This review emphasizes, as does the compelling and beautiful book, The Seduction of Curves by Allan McRobie, the “lines of beauty” that link art and mathematics. McRobie and his collaborator on the indispensable visuals of the volume, Helena Weightman, succeed admirably in connecting theoretically and visually the mathematical field of singularity or catastrophe theory and its graphical representations on the one hand and the seemingly intersecting lines around the volumes of the human body in the artistic representation of the nude. This book thus constitutes a creative and illuminating overlap of mathematics and art that lets the practitioners on both ...


Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge Jul 2019

Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge

Journal of Humanistic Mathematics

Parents and educators have powerful opportunities to introduce children to big mathematical ideas, when those ideas become necessary. Children are capable and curious. They don’t need to be sheltered from big mathematical ideas. Bring out mathematical ideas when kids are ready, or when they are needed. This article describes one such instance, when I helped my six-year-old son move beyond zero in the negative direction when subtracting.


Mathematics Versus Statistics, Mindy B. Capaldi Jul 2019

Mathematics Versus Statistics, Mindy B. Capaldi

Journal of Humanistic Mathematics

Mathematics and statistics are both important and useful subjects, but the former has maintained prominence in the American education system. On the other hand, statistics is more prevalent in daily life and is an increasingly marketable subject to know. This article gives a personal history of one mathematician’s bumpy road to learning and teaching statistics. Additionally, arguments for how and why to include statistics in the K-12 and college curricula are provided.


Properties Of Functionally Alexandroff Topologies And Their Lattice, Jacob Scott Menix Jul 2019

Properties Of Functionally Alexandroff Topologies And Their Lattice, Jacob Scott Menix

Masters Theses & Specialist Projects

This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when considering the collection of such topologies on some set X. We present several theorems about the properties of these topologies as well as their partially ordered set.

The first chapter introduces functionally Alexandroff topologies and motivates why this work is of interest to topologists. This chapter explains the historical context of this relatively new type of topology and how this work relates to previous work in topology. Chapter 2 presents several theorems describing properties of functionally Alexandroff topologies ad presents a characterization for the functionally Alexandroff topologies ...


Introduction Of Infinite Series In High School Level Calculus, Ericka Bella Jul 2019

Introduction Of Infinite Series In High School Level Calculus, Ericka Bella

Masters Essays

No abstract provided.


Algebraic Topics In The Classroom – Gauss And Beyond, Lisa Krance Jul 2019

Algebraic Topics In The Classroom – Gauss And Beyond, Lisa Krance

Masters Essays

No abstract provided.