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Full-Text Articles in Physical Sciences and Mathematics

States Of Matter, Todd Sformo Jul 2024

States Of Matter, Todd Sformo

Journal of Humanistic Mathematics

This is a non-fiction essay overtly about three methods used in overwintering physiology, set in the context of my first learning them, along with associated thoughts and ideas as I began working on my PhD. The mathematics shows up mainly in the final section of the essay whose subtitle plays on a poem by Wallace Stevens called “Anecdote of the Jar”. This section is fable-like in its explanation of protein purification and begins with an impossible statement that is slowly adjusted to make sense by words and math.


Fibonacci-Inspired Spiral Quilts, Kathleen Offenholley, Sk Collins, David Radcliffe Jul 2024

Fibonacci-Inspired Spiral Quilts, Kathleen Offenholley, Sk Collins, David Radcliffe

Journal of Humanistic Mathematics

This article provides insight into the mathematics and designs of quilts inspired by Fibonacci and logarithmic spirals. We introduce the history and development of the Fibonacci number sequence and how to hand-draw a Fibonacci spiral. Further, we explain the relationship between the Fibonacci spiral and logarithmic spirals, the advantages of using logarithmic spirals to create designs, and how to produce digital spiral designs using Desmos, a free web-based graphing calculator. Finally, we discuss methods for designing spiral quilts or other triangle and spiral designs (such as collage or other media) and derive a formula for calculating the apex angles of …


Intuitive Explanations In Mathematical Education, Jerzy Pogonowski Jul 2024

Intuitive Explanations In Mathematical Education, Jerzy Pogonowski

Journal of Humanistic Mathematics

I discuss the role of intuitive explanations in the learning, teaching, and popularization of mathematics. Several examples of such explanations are presented, related to linguistic explanations, perception, empirical models, and internal explanations inside mathematics itself. I emphasize the fact that intuitive explanations in a sense transgress mere mathematical arguments. I also discuss in brief the role of paradox resolution in mathematical education.


Bootstraps And Scaffolds: What A Cognitive-Historical Analysis Of The Complex Number System Reveals About Numerical Cognition, Charles R. Card, Gary G. Miller Jul 2024

Bootstraps And Scaffolds: What A Cognitive-Historical Analysis Of The Complex Number System Reveals About Numerical Cognition, Charles R. Card, Gary G. Miller

Journal of Humanistic Mathematics

The following investigation is a cognitive-historical analysis of the conceptual development of complex numbers. The history of this development spans nearly two millennia, from the earliest appearance of the square root of a negative quantity in the calculations of Heron of Alexandra (1st Century CE) to the full flowering of complex numbers in the first half of the 19th Century. The approach used for this analysis is Nersessian's, including her formulations of model-based reasoning and mental models. Additional aspects of the analysis feature the prominent roles played by process representations, including object-process complementarities, and by core numerical systems. Our analysis …


Building Communities Of Care For Equity, Justice, And Culturally Responsive Practice In Mathematics Education, Nicole Fletcher, B Waid Jul 2024

Building Communities Of Care For Equity, Justice, And Culturally Responsive Practice In Mathematics Education, Nicole Fletcher, B Waid

Journal of Humanistic Mathematics

Teaching is widely considered one of the “caring professions,” but conceptualizations of care and how care is put into practice in education are not universal. In this article, we draw from a range of perspectives on care that integrate supportive interpersonal relationships, high expectations, and culturally relevant theories of critical care, as well as Queer Theory and Disability Justice, to explore the application of these ideas in mathematics education. We identify key elements for building communities of care in mathematics education contexts: co-constructing community agreements, redefining participation, shifting traditional power structures, collaborative problem solving, and building networks of care beyond …


Mathematical Models And Pedagogy Of Marxist Political Economy, Christopher Perez Jul 2024

Mathematical Models And Pedagogy Of Marxist Political Economy, Christopher Perez

Journal of Humanistic Mathematics

How can we teach people about the economics of labor and exploitation in mathematics courses? We define a mathematical model for describing the relationships embodied by commodities and labor. We then use this model to illustrate the exploitative nature of profit and the tendency for catastrophic chain-reactions that lead to market crashes. Lastly, we discuss applications to pedagogy in mathematics courses using a simplified version of the model.


What Is An Imaginary Number? The Plane And Beyond, Andrew W. Powell Jul 2024

What Is An Imaginary Number? The Plane And Beyond, Andrew W. Powell

Journal of Humanistic Mathematics

In this article I argue that i is a quantity associated with the two-dimensional real number plane, whether as a vector, a bi-vector, a point or a transformation (rotation). This position provides a foundation for the complex numbers and accounts for complex numbers in some equations of applied mathematics and physics. I also argue that complex numbers are fundamentally geometrical and can be described by geometric algebra, and that moreover the meaning of complex numbers in physics varies with dimension and geometry of the manifold.


Language Analysis Via The Run And Flattened Statistics On Permutations, Jennifer Elder, Pamela E. Harris, Anthony Simpson Jul 2024

Language Analysis Via The Run And Flattened Statistics On Permutations, Jennifer Elder, Pamela E. Harris, Anthony Simpson

Journal of Humanistic Mathematics

A permutation π in Sn can be decomposed into its runs π = τ1τ2 . . . τk, where a run of π is a maximal contiguous subsequence whose elements are in increasing order. If the first values of each run are in increasing order, then π is said to be flattened. Motivated by the study of flattened permutations, we study the words in the Danish, German, English, Spanish, French, Italian, Dutch, and Norwegian languages. In each language considered, our work provides the following: a list of the longest flattened words, histograms for the proportion …


Millions, Billions, Or Trillions: How To Partition Large Numbers Into Friendly Figures, Eryn Michelle Maher, Ha Nguyen, Cynthia Sanchez Tapia Jul 2024

Millions, Billions, Or Trillions: How To Partition Large Numbers Into Friendly Figures, Eryn Michelle Maher, Ha Nguyen, Cynthia Sanchez Tapia

Journal of Humanistic Mathematics

Communicating and making sense of large numbers — millions, billions, and trillions — is a persistent struggle in our society. Using large numbers is a learning requirement for elementary school children, but even adults struggle with it. Hence supporting future teachers in developing their own understanding of the concepts is valuable. To construct, enact, and revise an educational experience for preservice teachers, we apply three frameworks of teaching mathematics for social justice tasks, high cognitive demand tasks, and productive mathematics discussion. The context uses United States educational and defense spending, the national budget, and the gross domestic product. Preservice teachers …


The Modern Geometrician: Euclidean Construction For Digital Paper, Deborah A. Kent, David J. Muraki Jul 2024

The Modern Geometrician: Euclidean Construction For Digital Paper, Deborah A. Kent, David J. Muraki

Journal of Humanistic Mathematics

The emphasis on traditional hand-drawn compass and straight-edge geometrical constructions has been reduced in the core narrative of most current curricula. In response to this trend, this paper presents a virtual toolkit for producing precision geometrical figures within the popular note-taking app, Notability. These graphical procedures employ the app's stylus-based input and shape tools (for lines, circles and squares) to offer a modern take on classical geometrical construction. These procedures are adaptations of familiar textbook methods, necessary because the app's circle-drawing tool behaves differently from a standard compass. Beyond the familiar canon of elementary Euclidean constructions, such as angle bisectors …


Sociomathematical Norms And Automated Proof Checking In Mathematical Education: Reflections And Experiences, Merlin Carl Jul 2024

Sociomathematical Norms And Automated Proof Checking In Mathematical Education: Reflections And Experiences, Merlin Carl

Journal of Humanistic Mathematics

According to a widely held view, mathematical proofs are essentially (indications of) formal derivations, and thus in principle mechanically checkable (this view is defended, for example, by Azzouni [3]). This should in particular hold for the kind of simple proof exercises typically given to students of mathematics learning to write proofs. If that is so, then automated proof checking should be an attractive option for math education at the undergraduate level. An opposing view would be that mathematical proofs are social objects and that what constitutes a mathematical proof can thus not be separated from the social context in which …


My Own Private World Of Non-Ordinary Associative Arithmetics, Marion D. Cohen Jul 2024

My Own Private World Of Non-Ordinary Associative Arithmetics, Marion D. Cohen

Journal of Humanistic Mathematics

A binary operation # on Z+ is said to be an associative arithmetic if both # and its iteration — the binary operation ∗ defined recursively by: x∗1 = x and x∗y = [x ∗ (y − 1)]#x — are associative. E. Rosinger [6] showed that under reasonable conditions an associative arithmetic must be ordinary addition. However, in the general case, there are associative arithmetics that are not ordinary addition. This paper gives examples of these as well as results towards a structure theorem for associative arithmetics. The paper also describes the role that this particular math problem has played …


Picturing Mathematics (Education) In New Ways, Mark Huber, Gizem Karaali Jul 2024

Picturing Mathematics (Education) In New Ways, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.


Front Matter Jul 2024

Front Matter

Journal of Humanistic Mathematics

No abstract provided.


Review Of Queer Data Studies, Jordan Meyerl Jul 2024

Review Of Queer Data Studies, Jordan Meyerl

Journal of Contemporary Archival Studies

In Queer Data Studies, editor Patrick Keilty compiles essays from scholars and practitioners exploring the relationship between data and queer subjects. Utilizing a cross-disciplinary approach, the volume encourages readers to rethink what constitutes queer data and how queer subjects choose to interact with a world where surveillance is increasingly regarded as the norm. This review provides readers with an introduction to the book’s 10 chapters, while also evaluating its strengths and weaknesses and highlighting avenues for future research in this budding field.


Future Library: Hopepunk Heroism, Joanna Pascoe Jul 2024

Future Library: Hopepunk Heroism, Joanna Pascoe

Heroism Science

Future Library (Paterson, 2014-2114) is viewed through the lens of the heroic imagination and heroism in community. The heroic vision includes an artist, writers, a forest, public architecture, and the city of Oslo. As the project grows, so does its community, across the world, encouraging transformative thinking for all. Future Library is an art installation created by Katie Paterson, described thus: “A forest in Norway is growing. In 100 years it will become an anthology of books. Every year a writer is contributing a text that will be held in trust, unpublished, until the year 2114. The texts will be …


The Arbitrariness Of Symmetry In Mathematical Proofs, Melisa Vivanco Jul 2024

The Arbitrariness Of Symmetry In Mathematical Proofs, Melisa Vivanco

Philosophy Faculty Publications and Presentations

Symmetry is not an inherent characteristic of mathematical proofs; instead, it is a property that arbitrarily manifests in different modes of presentation. This arbitrariness leads to the conclusion that symmetry cannot be part of the defining or essential properties that characterize proofs. Consequently, contrary to some authors’ claims, symmetry does not significantly contribute to the validity, accuracy, or soundness of mathematical proofs. What is more, it does not even play any critical role in heuristic aspects such as explanatory power. The examples developed in this paper constitute compelling evidence supporting these claims.


07-08--2024 Orsp Newsletter, Liz Williamson Jul 2024

07-08--2024 Orsp Newsletter, Liz Williamson

ORSP Newsletter

NSF research infrastructure, IDS (Institute for Data Science), NSF Mentoring Plan Requirement, NSF Pilot for Startups and Small Businesses


Memetic Memory As Vital Conduits Of Troublemakers In Digital Culture, Alexander O. Smith, Jordan Loewen-Colón Jul 2024

Memetic Memory As Vital Conduits Of Troublemakers In Digital Culture, Alexander O. Smith, Jordan Loewen-Colón

School of Information Studies - Post-doc and Student Scholarship

Recent fears of data capitalism and colonialism often argue using implicit assumptions about cybernetic technology’s ability to automate data about culture. As such, the level of data granularity made possible by cybernetic engineering can be used to dominate society and culture. Here we unpack these implicit assumptions about the datafication of culture through memes, which both act as cultural data and cultural memory. Using Alexander Galloway’s critical method of protocological analysis and descriptions of media tactics, we respond to fears of cybernetic domination. Protocols – the source by which cybernetic technologies enable automated datafication – enables us to respond to …


How Are Entanglement Entropies Related To Entropy Bounds?, Emily Adlam Jul 2024

How Are Entanglement Entropies Related To Entropy Bounds?, Emily Adlam

Philosophy Faculty Articles and Research

In this paper we seek to understand what current knowledge of entanglement entropies suggests about the appropriate way to interpret the covariant entropy bound. We first begin by arguing that just as in the classical case, a universal bound on the von Neumann entropy could have either an epistemic or ontological origin. We then consider several possible ways of explaining the bound as a consequence of features of the entanglement entropy. We discuss consider area laws in condensed matter and quantum field theory, arguing that they suggest an epistemic reading of the bound. We also discuss the ‘spacetime from entanglement’ …


Uplifting The Critical Value Of The Lgbtq+ Climate Workforce, Brenda Castruita, Nicole Fassina Jul 2024

Uplifting The Critical Value Of The Lgbtq+ Climate Workforce, Brenda Castruita, Nicole Fassina

San Diego Regional Climate Collaborative

As the world faces unprecedented environmental challenges, the need for a robust and diverse environmental workforce has never been more critical. Historically, marginalized communities are at the forefront of these challenges and often bear the brunt of impacts from our changing climate. It is vital that the climate workforce reflects the diversity of our communities and is inclusive of individuals with lived experiences that can inform equitable and effective solutions. Among these marginalized communities, the LGBTQ+ (Lesbian, Gay, Bisexual, Transgender, Queer or Questioning, and others) community is particularly vulnerable to the impacts of climate change.¹ Research underscores how LGBTQ+ individuals …


My Ai Companion: An Examination Of The Removal Of Erotic Role Play From Replika Through User Discussion On Reddit, Chelsee M. Allen Jul 2024

My Ai Companion: An Examination Of The Removal Of Erotic Role Play From Replika Through User Discussion On Reddit, Chelsee M. Allen

Department of Sociology: Dissertations, Theses, and Student Research

The development of artificial intelligence (AI) software has expanded rapidly in recent years, and thus has emerged the importance of exploring human relationships with AI chatbots. Replika, an app which uses AI to mimic human conversation, removed a function called Erotic Role Play (ERP) that allowed for sexual conversation with users’ customizable chatbots in February of 2023. This exploratory qualitative study examines the aftermath of ERP’s removal through an analysis of user interactions on Reddit. Five overarching themes emerged through the analysis of top posts to a Replika-specific subreddit, encompassing topics around mental health, stigma, coping, sex work and gendered …


The Confluence, Volume3, Issue 2, Full Issue Jun 2024

The Confluence, Volume3, Issue 2, Full Issue

The Confluence

No abstract provided.


[Discussions] Vol. 20 Iss. 1 Jun 2024

[Discussions] Vol. 20 Iss. 1

Discussions

This issue of Discussions was published for the Spring 2024 cycle.


06-24--2024 Orsp Newsletter, Liz Williamson Jun 2024

06-24--2024 Orsp Newsletter, Liz Williamson

ORSP Newsletter

Research Networking Lunch (LINC), NIH podcast, CREW (Community First Research Center for Wellbeing and Creative Achievement) Premier Physics Experiment


Proceedings Of The Cuny Games Conference 10.0, Robert O. Duncan, Grace Axler-Diperte, Joe Bisz, Christina Boyle, Devorah Kletenik, Carolyn Stallard Jun 2024

Proceedings Of The Cuny Games Conference 10.0, Robert O. Duncan, Grace Axler-Diperte, Joe Bisz, Christina Boyle, Devorah Kletenik, Carolyn Stallard

Publications and Research

The ten-year anniversary (!) of the CUNY Games Conference combines workshops, idea exchanges, interactive participant presentations, playtesting, and playing tabletop games into a two-day hybrid event to promote and discuss game-based learning. The conference focuses on creative pedagogy, such as playful learning activities or games, that teachers can use in the classroom every day. Day 1 featured interactive presentations by attendees, informal idea exchange sessions, and workshops by the conference organizers. Day 2 featured select presentations and workshops, poster sessions, playtesting and game modding, and casual play of tabletop games.


Information Technology In The Christian Sphere, Kaylen Frazee Jun 2024

Information Technology In The Christian Sphere, Kaylen Frazee

NEXUS: The Liberty Journal of Interdisciplinary Studies

No abstract provided.


Cards With Class: Formalizing A Simplified Collectible Card Game, Dan Ha Jun 2024

Cards With Class: Formalizing A Simplified Collectible Card Game, Dan Ha

University Honors Theses

Collectible card games (CCGs) have been a wildly popular game genre since the release of Wizards of the Coast's Magic: The Gathering. These games revolve around their thousands of cards and the hundreds of thousands of interactions they can create with their many effects. For designers, it is an incredibly demanding task to ensure that every single card works properly and that each card's text unambiguously conveys its intended behavior in all cases. The task only grows more difficult over time as the number of cards in the game grows and card effects become more complex or experimental. If the …


Hidden Scientists/Hidden Creatives, Con Kennedy Jun 2024

Hidden Scientists/Hidden Creatives, Con Kennedy

Conference Presentations

This presentation discussed how the UN Sustainable Development Goals (SDGs) were integrated into an existing graphic design module delivered on the BA in Visual Communication Design in a joint project with the TU Dublin School of Art and Design, School of Biological, Health and Sports Sciences
 Sustainability and Research Hub
Research, the Ethics and Integrity Office. The project explored underrepresented women in science and graphic design.


The Robot On The Hill, James Ryan Jun 2024

The Robot On The Hill, James Ryan

College of Computing and Digital Media Dissertations

“The Robot on the Hill” is a rogue-like autobattler that procedurally models the state of the individual in the information age. The game abruptly transitions between diverse framings - a hill, a bedroom, a pond, a chessboard, the void - in order to highlight the disjointedness that is present in the informationalizing of self and reality. It dialogues with Byung Chul Han and Heidegger to portray what Han describes as a ‘narrative crisis’ in modernity and the devaluation of experience. When the value of experience diminishes and disintegrates, “all that is left is bare life, a kind of survival.” …