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Articles 1  30 of 1049
FullText Articles in Physical Sciences and Mathematics
Mathematical Modeling Suggests Cooperation Of PlantInfecting Viruses, Joshua Miller, Vitaly V. Ganusov, Tessa BurchSmith
Mathematical Modeling Suggests Cooperation Of PlantInfecting Viruses, Joshua Miller, Vitaly V. Ganusov, Tessa BurchSmith
Chancellor’s Honors Program Projects
No abstract provided.
A Computer Programming Intervention For Second Grade Math Students, Eric B. Bagley
A Computer Programming Intervention For Second Grade Math Students, Eric B. Bagley
All Graduate Theses and Dissertations
The multiplication algorithms taught to elementary students are made to help students find answers quickly, but why the algorithm works and how it relates to multiplication is not widely known. For example, one intuitive meaning of multiplication is that of iterated, or, repeated, addition. In this paper, we look at the ways a visual, blockbased, programming activity uses the concept of iteration to help secondgraders learn multiplication. The results of the study observing secondgrade students use visual programming and iteration to setup and solve multiplication story problems. We found that generally students enjoyed these activities and found them helpful during ...
The Influence Of A Course On Assessment For Inservice Secondary Mathematics Teachers, Natalie M. Anderson
The Influence Of A Course On Assessment For Inservice Secondary Mathematics Teachers, Natalie M. Anderson
All Graduate Theses and Dissertations
Many mathematics teachers are not prepared to design valid and usable measurements of their students’ mathematical achievements. There are relatively few opportunities for mathematics teachers to improve their assessment literacy. The purpose of this study is to (1) design a course on assessment for inservice mathematics teachers and (2) evaluate the effectiveness of the course. This paper recounts the development of the course and its influence on 16 teachers. Teachers who completed the course submitted a unit outline with learning objectives, a test blueprint, and a unit test. These artifacts influenced my evaluation on the effectiveness of the course. All ...
How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli
How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli
The Review: A Journal of Undergraduate Student Research
The art gallery problem is a geometry question that seeks to find the minimum number of guards necessary to guard an art gallery based on the qualities of the museum’s shape, specifically the number of walls. Solved by Václav Chvátal in 1975, the resulting Art Gallery Theorem dictates that ⌊n/3⌋ guards are always sufficient and sometimes necessary to guard an art gallery with n walls. This theorem, along with the argument that proves it, are accessible and interesting results even to one with little to no mathematical knowledge, introducing readers to common concepts in both geometry and graph ...
Applied Math In Introductory Chemistry, Ji Kim, Grace Pai
Applied Math In Introductory Chemistry, Ji Kim, Grace Pai
Open Educational Resources
Students, particularly those who are nonscience majors, often struggle with collegelevel science courses required for graduation due to the applied mathematics needed to successfully complete the course. This resource includes four activities on the topics of units and measurements, dimensional analysis, density, and gases. These topics were specifically designed to teach the mathematics embedded in these topics in a culturally responsive way. Throughout the activities, we incorporate these four elements of culturally relevant pedagogy (LadsonBillings, 2009) in order to engage students in successfully solving basic mathematics in chemistry while promoting their interest in learning chemistry.
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, University of NebraskaLincoln
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 ntrace and the same sliceness. However, exploration and knowledge of this process is limited. We were able to generate the Piccirillo duals for several lowcrossing 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.
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.
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.
A NonEuclidean Story Or: How To Persist When Your Geometry Doesn’T, Rami Luisto
A NonEuclidean 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 Lbilipschitz mapping f : X → Y between uniformly Ahlfors qregular, complete and locally compact pathmetric spaces X and Y is an Lbilipschitz map when Y is simply connected. The motivation for such a result arises from studying the asymptotic values of BLDmappings 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 the ideas ...
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 muchneeded 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 nonformal 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 nonformal schoolbased 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 nonformal and informal contexts, with an eye toward understanding ways youth engage in the activity of ...
Making UpperLevel Math Accessible To A Younger Audience, Allyson Roller
Making UpperLevel 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.
A Mathematical Approach To Inventory Management At ClientChoice Food Pantries, Josh B. Salsbury
A Mathematical Approach To Inventory Management At ClientChoice Food Pantries, Josh B. Salsbury
PURE Insights
Traditional food pantry models give customers prearranged boxes of food that offer no or limited choice of the items received. Recent research indicates that the clientchoice model, in which customers get to choose items in a grocery storelike setting, is a much less wasteful and more dignifying method of running a food pantry (Remley, et al. 2006). However, there has not been scholarly research into the best practices for organizing and restocking items at clientchoice pantries, which can significantly affect the quality and amount of food a customer has the opportunity to shop for. This research outlines a method of ...
Covid And Curriculum: Elementary Teachers Report On The Challenges Of Teaching And Learning Mathematics Remotely, Kristin GiorgioDoherty, Mona Baniahmadi, Jill Newton, Amy M. Olson, Kristen Ferguson, Kaitlyn Sammons, Marcy M. Wood, Corey Drake
Covid And Curriculum: Elementary Teachers Report On The Challenges Of Teaching And Learning Mathematics Remotely, Kristin GiorgioDoherty, Mona Baniahmadi, Jill Newton, Amy M. Olson, Kristen Ferguson, Kaitlyn Sammons, Marcy M. Wood, Corey Drake
Journal of Multicultural Affairs
This article reports on findings from a survey administered to 524 elementary teachers across 46 states that asked about their experiences with mathematics teaching, learning, and curriculum use before and during the COVID19 pandemic. The purpose of this article is to report on the challenges teachers experienced with mathematics teaching, learning, and curriculum use during the pandemic and to explore educational inequities faced by students of families with lower income backgrounds. In particular, we discuss differences across high and lowincome schools regarding teachers’ perceived preparedness for online teaching, teachers’ use and decisions about mathematics curriculum, and their students’ remote resources ...
Under Pressure: A Case Study Of The Effects Of External Pressure On Mlb Players Using Twitter Sentiment Analysis, Jonathan Huntley
Under Pressure: A Case Study Of The Effects Of External Pressure On Mlb Players Using Twitter Sentiment Analysis, Jonathan Huntley
Honors Projects in Mathematics
Performance under pressure and psychological momentum are welldocumented topics in sports psychology, but most research focuses on “ingame” pressure. This study views pressure more broadly to examine how the external pressure of fans, quantified using the sentiment of tweets mentioning the players, can affect how MLB players perform. Although external pressure is intangible, it can impact a player’s psyche and performance. This investigation focuses on players Chris Sale and David Price. A new process was developed leveraging the Vader package in Python that can generate tweet sentiment to compare to several performance metrics from Baseball Reference. Results proved to ...
Participatory Action Research: Undergraduate Researchers Engaging Secondary Students In Social Justice Mathematics, Isabelle Miller, Alexis Grimes, Camryn Adkison
Participatory Action Research: Undergraduate Researchers Engaging Secondary Students In Social Justice Mathematics, Isabelle Miller, Alexis Grimes, Camryn Adkison
The Journal of Purdue Undergraduate Research
No abstract provided.
Expansion Of The Department Of Mathematics At Princeton University And The Founding Of The School Of Mathematics At The Institute For Advanced Study: 19001950, Andrew BemanCavallaro
Expansion Of The Department Of Mathematics At Princeton University And The Founding Of The School Of Mathematics At The Institute For Advanced Study: 19001950, Andrew BemanCavallaro
Graduate Review
From 1900 to 1950 Princeton, New Jersey, hosted two of the most prestigious institutions and provided a location for the expansive mathematical investigations taking place just before, during, and immediately after the Second World War. Princeton University and the Institute for Advanced Study housed, fed, and provided workspaces for an array of Mathematicians uncovering new research methodologies (resulting in the defeat of both the Nazi Party and the Empire of Nippon), the foundation for modern experimental Mathematics, and expansions of Theoretical and Applied Physics.
Categorical Aspects Of Graphs, Jacob D. Ender
Categorical Aspects Of Graphs, Jacob D. Ender
Undergraduate Student Research Internships Conference
In this article, we introduce a categorical characterization of directed and undirected graphs, and explore subcategories of reflexive and simple graphs. We show that there are a number of adjunctions between such subcategories, exploring varying combinations of graph types.
Spectral Graph Theory And Research, Nathan H. Kershaw, Lewis Glabush
Spectral Graph Theory And Research, Nathan H. Kershaw, Lewis Glabush
Undergraduate Student Research Internships Conference
Our topic of study was Spectral Graph Theory. We studied the algebraic methods used to study the properties of graphs (networks) and became familiar with the applications of network analysis. We spent a significant amount of time studying the way virus’s spread on networks, with particular applications to Covid19. We also investigated the relationship between graph spectra and structural properties.
College Algebra Through Problem Solving (2021 Edition), Danielle Cifone, Karan Puri, Debra Maslanko, Ewa Stelmach
College Algebra Through Problem Solving (2021 Edition), Danielle Cifone, Karan Puri, Debra Maslanko, Ewa Stelmach
Open Educational Resources
This is a selfcontained, open educational resource (OER) textbook for college algebra. Students can use the book to learn concepts and work in the book themselves. Instructors can adapt the book for use in any college algebra course to facilitate active learning through problem solving. Additional resources such as classroom assessments and online/printable homework is available from the authors.
For The Love Of Mathematical Research: A Conversation With Undergraduate Research Students, Mike Janssen
For The Love Of Mathematical Research: A Conversation With Undergraduate Research Students, Mike Janssen
Faculty Work Comprehensive List
"One of my passions as a professor is creating opportunities for students to ask questions about mathematics."
Posting about students' perspectives on mathematics research from In All Things  an online journal for critical reflection on faith, culture, art, and every ordinaryyetgraced square inch of God’s creation.
Partial Representations For Ternary Matroids, Ebony Perez
Partial Representations For Ternary Matroids, Ebony Perez
Electronic Theses, Projects, and Dissertations
In combinatorics, a matroid is a discrete object that generalizes various notions of dependence that arise throughout mathematics. All of the information about some matroids can be encoded (or represented) by a matrix whose entries come from a particular field, while other matroids cannot be represented in this way. However, for any matroid, there exists a matrix, called a partial representation of the matroid, that encodes some of the information about the matroid. In fact, a given matroid usually has many different partial representations, each providing different pieces of information about the matroid. In this thesis, we investigate when a ...
Contributions To The Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya
Contributions To The Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya
Department of Mathematics Facuty Scholarship and Creative Works
This issue showcases a compilation of papers on fluid mechanics (FM) education, covering different sub topics of the subject. The success of the first volume [1] prompted us to consider another followup special issue on the topic, which has also been very successful in garnering an impressive variety of submissions. As a classical branch of science, the beauty and complexity of fluid dynamics cannot be overemphasized. This is an extremely wellstudied subject which has now become a significant component of several major scientific disciplines ranging from aerospace engineering, astrophysics, atmospheric science (including climate modeling), biological and biomedical science and engineering ...
Fantasy At The Service Of Mathematics, Clara Ziskin, Esther Williams, Alla Shmukler
Fantasy At The Service Of Mathematics, Clara Ziskin, Esther Williams, Alla Shmukler
Journal of Humanistic Mathematics
This article aims to introduce the reader to a book published in 2016 under the title “Amazing Tales from the Magic Wood and Famous Problems of Mathematics” by Elli Shor and Clara Ziskin. The book offers an original method of presenting mathematical facts and history through a fantasy narrative. The book’s two authors, Clara Ziskin and Alla Shmukler (Elli Shor), together with consultant psychologist Esther Williams, share here several excerpts taken from the first part of the book as well as related illustrations and mathematical riddles, so that the reader can form an informed impression of the book, its ...
Crocheting Mathematics Through Covid19, Beyza C. Aslan
Crocheting Mathematics Through Covid19, Beyza C. Aslan
Journal of Humanistic Mathematics
As it is often said, something good often comes out of most bad situations. The time I spent during COVID19, at home and isolated with my two children, brought out one secret passion in me: crocheting. Not only did it help me pass the time in a sane and productive way, but also it gave me a new goal in life. It connected my math side with my artistic side. It gave me a new perspective to look at math, and helped me help others see math in a positive way.
An Interdisciplinary Rendezvous Between Mathematics And Literature: Reflections On Beauty As A Perspective In Comparative Disciplinary Didactics And A Thematic Approach To Interdisciplinary Work In Upper Secondary School, Uffe Thomas Jankvist, Helle Rørbech, Jesper Bremholm
An Interdisciplinary Rendezvous Between Mathematics And Literature: Reflections On Beauty As A Perspective In Comparative Disciplinary Didactics And A Thematic Approach To Interdisciplinary Work In Upper Secondary School, Uffe Thomas Jankvist, Helle Rørbech, Jesper Bremholm
Journal of Humanistic Mathematics
In this paper we propose a thematic focus on aesthetics in the context of an interdisciplinary collaboration between mathematics and literature (Language Arts) as a way to further students’ reflections on and deeper understanding of what characterizes the two subjects. Furthermore, we argue that approaching aesthetics through the perspective of literacy can potentially strengthen students’ understanding of ways of thinking particular to specific (academic) disciplines; ways of thinking that are otherwise often hidden when teaching focuses on more pragmatic aspects. G. H. Hardy’s A Mathematician’s Apology from 1940 serves as the recurring illustrative example in our discussions of ...