Physical Sciences and Mathematics Commons^™

The Problem Of Words: Learning To Teach Mathematics When Numbers And Languages Mix, Gladys Krause

Journal of Humanistic Mathematics

In this piece I propose a perspective shift, from a simplified view of mathematics story problems to a more academically rigorous perspective that integrates mathematical proficiency and language practices crucial for educating bilingual students. The data presented in this article provide a window into what preparing bilingual pre-service teachers to teach mathematics might involve. I discuss issues that arise in the context of preparing Spanish-English bilingual pre-service teachers in a way that can inform their practice in linguistically and culturally diverse classrooms.

An Amends Letter From A Recovering Mean Professor, Feryal Alayont

Journal of Humanistic Mathematics

The following is an amends letter written by a recovering professor enrolled in a twelve-step program for mean professors. The letter is directed to current and past students who have been hurt by the insensitive behavior of the professor in response to the students' mathematical anxiety and other emotional defenses in their learning. As common in twelve-step programs, the purpose of an amends letter is for the recovering person to clearly identify their hurtful actions and the effects on their victims, and to take responsibility for them. By sharing this letter openly, the professor, identified by their twelve-step program name …

Lessons Learned From The Disorder Of Operations, Egan J. Chernoff

Journal of Humanistic Mathematics

The purpose of this article, in general, is to explore certain possible outcomes associated with an underaged gambler attempting to collect his rightful winnings. More specifically, this article is a thought experiment investigating the union of (1) skill testing questions, (2) the equation that recently broke/divided the internet, and (3) how different outcomes render different elements of the thought experiment moot. For example, when the final arbiter has total dominion over a particular outcome, the mathematics of a skill testing question is rendered moot. The article concludes with a discussion revealing how disorder of operations could be considered the teaching …

In Search Of Star Clusters: An Introduction To The K-Means Algorithm, Marcio Nascimento

Journal of Humanistic Mathematics

This article is a gentle introduction to K-means, a mathematical technique of processing data for further classification. We begin with a brief historical introduction, where we find connections with Plato’s Timæus, von Linné’s binomial classification, and the star clustering concept of Mary Sommerville and collaborators. Artificial intelligence algorithms use K-means as a classification methodology to learn about data in a very accurate way, because it is a quantitative procedure based on similarities.

A Note On A Mathematician-Cyclist: Anna Kiesenhofer, Man Keung Siu

Journal of Humanistic Mathematics

This short note offers some reflections on the teaching and learning of mathematics inspired by the news about a feat accomplished by the Austrian mathematician-cyclist Anna Kiesenhofer in the Summer Olympic Games held in Tokyo in 2021.

Extremal Mathematicians, Carlos A. Alfaro

Journal of Humanistic Mathematics

We report on the top ten mathematicians with the highest number of articles, citations, and students, based on data from MathSciNet and the Mathematics Genealogy Project.

Navigating A Calculus Course During A Pandemic: A Usma Perspective, Shane K. Smith, Tyson H. Walsh, Lee Evans

Journal of Humanistic Mathematics

In this article we analyze publications written about different teaching modalities and evaluate how each applies to a calculus class during the on-going COVID-19 pandemic. We focus on the positives and negatives of teaching and learning in a virtual, classroom, or HyFlex environment. Although arguments could be made for each environment, especially given different institutional objectives, this work aims to explain why we eventually preferred teaching our Fall 2020 multivariable calculus course in a face-to-face classroom setting at the United States Military Academy at West Point. We also offer measures of performance to compare the current COVID-19 semester with previous …

On The Mathematics Of Social Distancing, Robert Haas

Journal of Humanistic Mathematics

Early in the COVID-19 pandemic, when spring began to make itself felt, photos showed New Yorkers enjoying the outdoors, while properly socially distanced, by sitting on the grass in a square lattice of circles. But the planners should have consulted a mathematician for the design, because significantly more people (over 15% more) could enjoy the same area safely if the circles were closer packed into a hexagonal lattice.

Covid-19, Vaccines, And Decision Theory, Michael A. Lewis

Journal of Humanistic Mathematics

In this piece, I delve into some thoughts I've had about decision theory. These have been inspired by the vaccine rollout phase of the COVID-19 Pandemic. I focus on decision making under uncertainty, as it relates to the decision to get vaccinated or not.

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.

Mindfully Navigating The Wind And Water: Defining The Currents Of Metaphors That Interfere With Excellence In Mathematics Education, Rob Blom, Olivia Lu, Chunlei Lu

Journal of Humanistic Mathematics

We bring to the forefront of educational thought a specific attitude toward the COVID-19 crisis that harnesses the symbolism of wind and water to navigate the cultural storm interfering upon our mathematical and pedagogical craft. The purpose of our paper is to open up space for opportunities in mathematics education using integral mindfulness as the rudder to readjust our bearings. More specifically, through conceptual analyses and making explicit the currents of change, disorder, and technology, we can apply discernment to these metaphors that intersect our pedagogy to re-align efforts and attitudes toward an integrated (aperspectival) culture of mathematics education. Through …

Unmotivated, Depressed, Anxious: Impact Of The Covid-19 Emergency Transition To Remote Learning On Undergraduates’ Math Anxiety, Melinda Lanius, Tiffany Frugé Jones, Samantha Kao, Tynan Lazarus, Alex Farrell

Journal of Humanistic Mathematics

In summer 2020, we invited the 6761 undergraduate students who took a Spring 2020 math course at the University of Arizona to participate in a survey, with 13% responding. We asked about their experience with the emergency transition to remote learning and measured their math anxiety before and after the transition using the well-established Abbreviated Math Anxiety Scale(AMAS). “Unmotivated, depressed, anxious” are the words one undergraduate used to describe their emergency transition to remote learning. Our results indicate that limited access to quality technology and inadequate communication with an instructor were the two greatest predictors for an increase in math …

Nilpotents Leave No Trace: A Matrix Mystery For Pandemic Times, Eric L. Grinberg

Journal of Humanistic Mathematics

Reopening a cold case, Inspector Echelon, high-ranking in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. But were its origins nilpotent?

A Mother-Mathematician Meets The Covid-19 Era, Bonnie Jacob

Journal of Humanistic Mathematics

Just ask the family cat: we are not all in this together, and never were. In this piece, I describe my journey as a mother and mathematician in the United States during the COVID-19 pandemic. Even though I am one of the lucky ones, we could do so much better.

Middle School Students Generating Mathematical Problems From A Real-Life Situation, David Coffland, Ying Xie

Journal of Humanistic Mathematics

In this study, we examined the effect of different presentation formats of a realistic situation on students’ mathematical problem-posing behavior. We divided thirty-six middle school students into two groups, gave them a pretest, and then showed them a realistic, problem-posing situation in Artifact or Video format. We used Silver’s core dimensions of creativity, namely fluency, flexibility, and originality, to measure participants’ problem-posing activity. The results for the fluency measures showed that the Artifact group wrote more questions than the Video group but the same number of mathematics problems. The Video group posed problems in more mathematical domains than the Artifact …

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, …

Plane Figurate Number Proofs Without Words Explained With Pattern Blocks, Gunhan Caglayan

Journal of Humanistic Mathematics

This article focuses on an artistic interpretation of pattern block designs with primary focus on the connection between pattern blocks and plane figurate numbers. Through this interpretation, it tells the story behind a handful of proofs without words (PWWs) that are inspired by such pattern block designs.

Intersection Cographs And Aesthetics, Robert Haas

Journal of Humanistic Mathematics

Cographs are complete graphs with colored lines (edges); in an intersection cograph, the points (vertices) and lines (edges) are labeled by sets, and the line between each pair of points is (or represents) their intersection. This article first presents the elementary theory of intersection cographs: 15 are possible on 4 points; constraints on the triangles and quadrilaterals; some forbidden configurations; and how, under suitable constraints, to generate the points from the lines alone. The mathematical theory is then applied to aesthetics, using set cographs to describe the experience of a person enjoying a picture (Mu Qi), poem (Dickinson), play (Shakespeare), …

Seeing Mathematics And Seeing Mathematicians, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

Putting Light To Work

Thomas Jefferson University Research Magazine

Jefferson researchers are using light in new ways: using blue light to drive chemical processes, and creating products that illuminate in ultraviolet light. Their work reflects a convergence of disciplines such as physics, chemistry, textile engineering and nanotechnology that is driving applications with practical benefits for people and the environment.

John Milligan, PhD, assistant professor of chemical and biological sciences, is leading development of environmentally sustainable ways to spur chemical reactions using blue LED light. The work is an example of the “photoredox” subfield of organic chemistry, which has proven to be an increasingly effective method for building organic molecules. …

[Re/De]Generation Colloquy Volume 1, Abby Stocker, Leah Patton, Brad Cox, Jacob Manning, Roberta Fultz, Jared Hedges, Stacie Lewis

Colloquy Undergraduate Research Journal

Contents

Editor’s Statement 5

Communication Studies

On Ideals in Romantic Relationships 25

Paul Hjellming, Lori Bergstrom, Bo Johnson, and Eric Osmondson

Perception of Profanity in Interpersonal Relationships 47

Ashley Pivaronas, Jessica Benham, and Stephanie Melhaff

The Genre of the Meme 67

Thomas Monson

Mathematics

Cooking Up the Optimal Baking Algorithm 7

Tony Burand, Michael Tetzlaff, and Jacob Smith

Literary Criticism

“What to Sight and Smell Was Sweet”: Flowers and Gardening in Paradise Lost 41

Linnea White

The Case of “Brown” 59

Sara Ellingsworth

Biblical and Theological Studies

The Markan Narrative of the Hemorrhaging Woman: Injustice Through Systems Then and Now …

A Call For The Library Community To Deploy Best Practices Toward A Database For Biocultural Knowledge Relating To Climate Change, Martha B. Lerski

Publications and Research

Abstract

Purpose – In this paper, a call to the library and information science community to support documentation and conservation of cultural and biocultural heritage has been presented.

Design/methodology/approach – Based in existing Literature, this proposal is generative and descriptive— rather than prescriptive—regarding precisely how libraries should collaborate to employ technical and ethical best practices to provide access to vital data, research and cultural narratives relating to climate.

Findings – COVID-19 and climate destruction signal urgent global challenges. Library best practices are positioned to respond to climate change. Literature indicates how libraries preserve, share and cross-link cultural and scientific knowledge. …

Emory-Tibet Science Initiative: Changes In Monastic Science Learning Motivation And Engagement During A Six-Year Curriculum, Kelsey M. Gray, Cindy Achat-Mendes, Ann Cale Kruger, Tashi Lhamo, Rinchen Wangyal, Gelek Gyatso, Carol M. Worthman

Biology, Chemistry, and Environmental Sciences Faculty Articles and Research

Led by His Holiness the Dalai Lama, the initiative taken by the Tibetan Buddhist monastic community to connect with western science and scientists presents a unique opportunity to understand the motivations and engagement behaviors that contribute to monastic science learning. In this study, we draw on quantitative data from two distinct surveys that track motivations and engagement behaviors related to science education among monastic students. The first survey was administered at one monastic university in 2018, and the second follow-up survey was completed by students at two monastic universities in 2019. These surveys assessed the reception of science education related …

Can Lethal Autonomous Weapons Be Just?, Noreen L. Herzfeld, Robert H. Latiff

Computer Science Faculty Publications

In 2018 the United States Department of Defense (DoD) created a new Joint Artificial Intelligence Center to study the adoption of AI by the military. Their strategy, outlined in a document entitled, “Harnessing AI to Advance Our Security and Prosperity,” proposes to accelerate the adoption of AI in the military by fostering a culture of experimentation and calculated risk taking, noting that AI will change the character of the future battlefield and, even more, the pace of battle. Is there any way to ensure that this future battlefield will be just? Can the age-old precepts of just warfare help guide …

A Multidisciplinary Collaboration Between Graphic Design And Physics Classes Responding To Covid-19, Szilvia Kadas, Eric M. Edlund

The SUNY Journal of the Scholarship of Engagement: JoSE

Students from graphic design and physics classes at SUNY Cortland collaborated during the spring semester of 2020 on a multidisciplinary project related to the COVID-19 pandemic. In these collaborations, the students’ individual contributions were part of a larger project that required a diverse skill set, through which students learned how different skills can complement their own disciplines. The graphic design and physics instructors applied a project-based learning philosophy applying the Common Problem Pedagogy (CPP) framework to construct student-teams composed of both disciplines. This project explored how coordinated social actions can allow the public to exercise control in uncertain times. Students …

Branches: A University Of Maine Farmington Anthology Celebrating Work From Students Across The Arts & Humanities, Sciences, And Education, University Of Maine At Farmington, Gretchen Legler (Ed.), Joseph W. Mcdonnell

Student Books

Branches showcases student work from across the “disciplines” that make up the interconnected web of learning at a liberal arts university such as UMF. Reading through it, you’ll see what a vibrant intellectual and creative community we have created; all the branches of the tree of knowledge complement and inform one another, creating an organic whole that is truly more than the sum of its parts. This vision of an education has its roots in Classical Greece, where philosophers believed that knowledge gained through broad study across the arts, sciences, and philosophy was essential for creating free citizens who would …

Campus Mobile History Application, Drew Adan, Christine Sears

Summer Community of Scholars (RCEU and HCR) Project Proposals

No abstract provided.

Swosu Research And Scholarly Activity Fair 2022, Swosu Office Of Sponsored Programs

SWOSU Research and Scholarly Activity Fair Programs

On behalf of Southwestern Oklahoma State University, welcome to the Thirtieth Research and Scholarly Activity Fair! We are proud to host students and faculty from universities and community colleges from across the state at this meeting of scholars. Research and scholarly activity ranging from Business Administration, Education and Professional Studies, Fine Arts and Design, Liberal Arts, and Mathematics and Science.
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Sincerely, SWOSU Office of Sponsored Programs and URSAC

Environmentalism In J.R.R. Tolkien's Lord Of The Rings, Sophie Butler

4610 English: Individual Authors: J.R.R. Tolkien

The theme of environmentalism within Tolkien’s Lord of the Rings trilogy, while sometimes underlying, is an ever-present background to the characters and actions of Middle-Earth.The hero’s movements through nature contrasted with the criminal destruction of nature by the villains presents two clear perspectives about the treatment of nature, but Tolkien also inserts his perspective through the inclusion of Tree characters, like Ents. Trees and tree characters are an essential part of Tolkien's legendarium that help to illuminate the author's claims about environmentalism and the impacts of progress on the world. How characters interact with nature inform their ethics and point …