Digital Commons Network^™

The Urysohn Lemma: Munkres Variation, Irida Altman

Journal of Humanistic Mathematics

There is a tradition of Mathematics contributing to the understanding of Music. This article sets out to contribute in the other direction. It uses musical sensibilities to feel its way through a piece of mathematics called the Urysohn Lemma, suggesting the presence of rhythmic, melodic, and harmonic elements within standard proving practices of contemporary Western mathematics. This article employs a literary-philosophical technique of viewing a text in one discipline (mathematics) through the conceptual lens of another (music). As such, this article reports on no experiments—reading the article is the experiment. Each reader performs it for themselves.

Prime Numbers Are Written On Your Hand: You Simply Have Not Been Counting Correctly, Nona Servais Kamdem Simo, Awa Traore

Journal of Humanistic Mathematics

Prime numbers have resisted systematic description for over two millennia. We propose that part of the difficulty may lie in an insufficiently attentive examination of one’s own hands. In particular, we assign the natural numbers to the joints of the human hand according to a cyclic traversal protocol, and make a handful of observations which can naturally be translated into number-theoretic properties of prime numbers. We show that these properties lead us to natural activation thresholds of a unified three-phase sieve algorithm — the resulting framework provides, for the first time, a zone-based partition of the admissible space with explicit …

Developing A Learner-Centered Teaching Routine, Hyeeun Jang

Journal of Humanistic Mathematics

This paper shares my story of developing, from Fall 2022 to Spring 2025, a learner-centered teaching routine for my undergraduate mathematics courses. I use four steps: an opening question, a short mini lecture about meaning, structured small group work, and a short end-of-class exit check, at times supported by quick visuals in Mathematica and, when useful, Python. Instead of relying on extended traditional lectures, the routine emphasizes collaborative problem solving and invites students to articulate and check their reasoning together. I used this routine mainly in my elementary statistics classes, but also in calculus and linear algebra. The evidence I …

Preparing Undergraduates To Philosophize With Children About Mathematics, Lawrence M. Lesser

Journal of Humanistic Mathematics

This paper shares my reflections and insights from preparing and facilitating a session in a weeklong inaugural study away program for undergraduate students (especially philoophy majors). My session was a vehicle for helping these students experience or visualize how the program’s Philosophy for Children (P4C) approach could be applied to exploring and discussing mathematics with children.

The Dynamics Of Vincent Van Gogh, Monica Morales Hernandez

Journal of Humanistic Mathematics

This article explores the interplay between Vincent van Gogh’s distinctive artistic style and principles of fluid dynamics, particularly through metaphorical comparisons. Van Gogh’s swirling, turbulent brushstrokes in works such as The Starry Night and Wheatfield with Crows evoke the chaotic and dynamic behaviors found in fluid motion, like vortices and turbulence. Although there is no documented scientific influence from fluid dynamics on van Gogh’s art, the parallels between his emotive, flowing techniques and the mathematical principles governing fluid behavior offer a unique lens to appreciate both his artistic innovation and the science of fluid dynamics.

Mathematicians Against The Tide, Nicola Ciccoli

Journal of Humanistic Mathematics

Mathematicians in popular culture are often depicted as people obsessed by their studies but with little connection to society, poor social skills, mental issues and narrow interests, and more generally a dull life. Adding to these explicit stereotypes, subtler and more implicit ones also abound, regarding mathematicians’ gender, ethnicity, age; they are all supposed to be white middle-aged men. In this paper I describe a project aimed at disrupting such stereotypes that culminated in a book containing short comics and biographies of twentieth-century mathematicians that were, with respect to the perceived image of mathematicians, against the tide.

Waiting For The Magic: A Historical And Mathematical Study Of Queues In Disney Theme Parks, Nina E. Becket

Journal of Humanistic Mathematics

This paper, written as part of an honors research project in high school, provides an introduction to the line and queuing systems at Disney theme parks. We begin with a brief history of Disney World and its creators. We then introduce the basics of queuing theory and queuing notation. Finally, we examine modern line systems at Disney (as of 2023) and the future of its different queue systems.

An Exploration Of Mathematical And Musical Connections, Jeffrey Pair, Egypt Pannell, Dani Rodriguez, Jerico Sarmiento

Journal of Humanistic Mathematics

In this paper, we present an introduction to some of the mathematical principles underlying music and mathematically develop a connection between the twelve musical notes and the group of integers modulo twelve. Our discussion touches on the simple mathematical ratios used to calculate consonant musical tones on the length of a string, the frequencies of tones and the method by which the twelfth root of two provides the foundation of equal temperament tuning, some algebraic connections to musical concepts like the euphonious circle of fifths, and a curious connection to twin primes.

"Math Is Like A Rollercoaster": Exploring Math Similes And Metaphors, Carmen M. Latterell, Janelle L. Wilson

Journal of Humanistic Mathematics

In this article we explore the metaphors and similes that pre-service elementary teachers use to describe mathematics. Employing qualitative content analysis, we separately coded the metaphors and similes into conceptual categories and analyzed themes that emerged. This grounded theory approach led to the creation of seven categories of metaphors and similes and three overarching themes. Math was viewed as a journey, a puzzle, a personal experience, a creative process, an algorithm, infinite, and an embodied process. Pre-service elementary teachers viewed mathematics as a process that takes effort. Overall, mathematics is a positive experience for them. In addition, mathematics involves fitting …

Grationality, With A Spoon, L. Jeneva Clark

Journal of Humanistic Mathematics

I introduced grationality at a 2025 sectional meeting of the Mathematical Association of America to install a handle on a concept akin to rationality of numbers, but in a geometric context. More specifically, we define a nice n-gon to be a regular n-gon with side lengths that are natural numbers; then a number n is grational if and only if there exists a nice n-gon such that its area equals the sum of areas of n congruent nice n-gons. In this paper I offer several examples of grational and non-grational numbers, followed by theorems about how the grationality of a …

A Method For Folding Origami Rectilinear Polygon Extrusions, Everett L. Jin

Journal of Humanistic Mathematics

We present a method for generating crease patterns for folding any rectilinear polygon extrusion with a specified uniform minimum edge-to-edge distance, using a rectangular sheet of paper. We demonstrate that the resulting models are efficient and watertight. In addition, they achieve optimal efficiency, meaning they attain the smallest possible scale factor from the original sheet of paper to the folded rectilinear polygon extrusion. Finally, we provide a code implementation of the method. Our study not only facilitates crease pattern design for origami artists but also offers an innovative, art-driven pedagogical tool for inspiring interest in mathematics.

The Set Card Game And Partitions Into Maximal Caps: A Partial Difference Sets Approach, John Polhill

Journal of Humanistic Mathematics

More specifically, we revisit the problem of determining the maximum number of cards that can be dealt in the SET® card game without any matches, which is well known to be equivalent to the problem of determining the size of a maximal cap in the affine space AG(4,3). We present a new approach to the problem by using partial difference sets, a method that is equivalent to using strongly regular graphs with a regular automorphism group. The paper includes several possible avenues for future investigations on how partial difference sets might be used in related problems.

Manipulating Mathematics, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

From Hesitation To Creation: Bookmaking, Language, And The Development Of Student Confidence In The Arts And Crafts, Kayla Rich

Theses and Dissertations

Many secondary students enter art classrooms believing that artistic ability is an innate talent rather than a skill that can be developed, often resulting in low confidence, perfectionist tendencies, and a reluctance to take creative risks. This action research study investigated how participation in a crafts-focused bookmaking curriculum affected students' engagement, divergent creativity, artmaking, and mindset in relation to success, failure, and creative risk-taking. Drawing on research in growth mindset, guided mastery, craft education, and artists' books, I designed and implemented a scaffolded curriculum that progressed from structured bookbinding techniques and process-based exploration to conceptually driven artists' books. The study …

Systematic Review Of The Institutionalization Of Service Learning In Higher Education, Wilmer Hernan Cruz Gutierrez

ASEAN Journal of Community Engagement

An increasing number of universities are integrating service-learning (SL) to fulfill their social mission. However, sustainable institutionalization of SL remains a persistent challenge. This study identifies and analyzes the factors, actors, and strategies that drive and inhibit SL institutionalization in higher education. Using the PRISMA 2020 guidelines, a systematic literature review analyzed 52 documents from seven academic databases (including WoS, Scopus, and ERIC). The findings were grouped into three sections: cultural (integration into institutional values/missions), process (articulation within teaching, research, and outreach), and structural dimensions (dedicated support entities). The results obtained reveal a reciprocal relationship where cultural alignment enables processual …

Art In Laparoscopy: A Fun Way Of Training In Minimally Invasive Surgery, Michael Dennis I. Dela Paz

DLSU Arts Congress Conference Proceedings

Paramount to the safety and efficiency of any surgical procedures warrants the enhancement of skills of the surgeon whether in training or practice. In minimally invasive surgery, one should inherently have excellent depth perception, consistent hand-eye coordination, and skillful use of the dominant and non-dominant hands to be able to perform operations with precision, efficiency, and safety. For most surgeons, sustaining or even improving these laparoscopic surgical skills through traditional drills would sometimes reach a point that it seems to be monotonous, and repetitive. Breaking away from the traditional skills will make the training and honing of minimally invasive surgical …

“We Are Writers At The End Of The Day”: Institutional Support, Accountability, And Community In Writing Groups For Faculty Of Color, María P. Carvajal Regidor

The Writing Center Journal

This article provides insight into how an accountability writing group for faculty of color supports faculty writers. It argues that targeted programming for faculty of color can serve as a modest anti-racist intervention into the white supremacist structures that often harm BIPOC faculty and their success in academia. Examining interview, survey, and registration data from a writing group for faculty of color, the article shows how the writing group functions as a counterspace, enabling participants not only to spend more time on their writing but to bring their full selves into an academic space and to form community. The article …

The Indonesian Conjunction Dan ‘And’ And Its Chinese Correspondences: A Corpus-Based Approach To Syntactic And Register Variation, Hatmi Idris

International Review of Humanities Studies

This study examines how the Indonesian conjunction dan ‘and’ is rendered in Chinese across syntactic units using a corpus-based contrastive approach. Focusing on children’s books, classic novels, and online news, it analyzes coordination at word, phrase, and clause level from a syntactic and register perspective. Findings show that dan ‘and’ does not correspond to a single Chinese form. At the word and phrase level, nominal coordination employs hé (和) ‘and’, yǔ (与) ‘and’, and yǐjí (以及) ‘as well as’ , with formal news discourse favoring yǔ (与) ‘and’ and yǐjí (以及) ‘as well as’. In verbal coordination, bìng (并) ‘furthermore’ …

When Herstory Goes Viral: Popular Resistance In The State-Platform Nexus In China, Qingyue Sun, Runze Ding

Interdisciplinary Studies

This article examines the rise of herstory content on Douyin to explore how feminist resistance takes shape within China’s platform environment. Drawing on digital ethnography, we develop the concept of popular resistance, a form of platform-mediated resistance whose popularity serves both as a condition of political traction and as a mechanism of containment. To clarify this duality, we identify two dimensions: (a) popularity on the platform, driven by trends, aestheticization, and commodification; and (b) popularity within orthodoxy, shaped by state-sanctioned values that render certain forms of feminist expression politically permissible. Popular resistance retains a critical, if slippery, edge. It gives …

Space As Experienced: Rendering Urban Interiority Through Research-By-Drawing, Sarah Javed Shah, Giulia Setti

Interiority

Architectural discourse has long privileged space as formally constituted—defined through geometry, enclosure, and typological classification—while its experiential and relational dimensions remain insufficiently examined. This article addresses that gap by proposing a methodological claim: the sequential and cumulative use of analytical drawing enables the investigation of spatial experience in ways that formal analysis and phenomenological description alone cannot achieve. Positioned as an epistemic framework, the research employs drawing not as representation but as a structured mode of inquiry. Five analytical lenses—liminality, permeability, intermingling, ephemerality, and complex interiority—are operationalised through a sequence of drawings that isolate and reconstruct the relational conditions through …

A Contextual And Sonic Analysis Of John Coltrane’S First Meditations, Matt Lind

Music ETDs

This thesis presents a contextual and sonic analysis of John Coltrane’s album First Meditations recorded in 1965. I use methods based on Dora Hanninen’s A Theory of Music Analysis to examine sonic and contextual aspects of Coltrane’s playing, including varying timbres, rhythmic tendencies, and contextual relationships in musical material. I consider pitch material from the perspective of “outside” playing, rather than traditional harmonic analysis. Considering areas of pitch, rhythm, and timbre allows the visualization of these features across each track in the album in five musical “plots.”

A Pedagogical “Eras” Tour: Thirteen Years Of Evolving As A Writing Methods Instructor [Special Issue], Susanna Benko

Teaching/Writing: The Journal of Writing Teacher Education

ABSTRACT: This reflective essay uses Taylor Swift's Eras Tour as a conceptual framework for examining thirteen years of teaching a writing methods course for preservice teachers. Drawing on longitudinal reflection, I identify four distinct pedagogical eras in my practice, each representing shifts in how I conceptualize what preservice teachers need to learn about teaching writing and how clinical experiences shape that learning. Through this extended reflection, I argue that meaningful pedagogical change becomes visible only across time, not semester-to-semester. Key insights include the sustained centrality of writing practice in methods courses and the influence of institutional changes on course design. …

Escaping The Cyberstorm: A Gamified Social Engineering Training Program, Noah Mcclanahan, Fadi Abu-Amara, Ali Khattab, Travis Jett, Andre Jackson

Journal of Cybersecurity Education, Research and Practice

In this research work, we explored the effectiveness of gamification in improving cybersecurity awareness and training users on targeted social engineering attacks. Traditional cybersecurity training focuses on lectures and videos. These training methods may not actively engage employees, which reduces their knowledge retention and ability to recognize social engineering attacks. This lack of involvement is a concern, as social engineering continues to be one of the most prevalent attack methods faced by end-users. A gamified training program, Escaping the Cyberstorm, was developed using the Godot game engine to address key challenges in spreading cybersecurity awareness. The game includes real-life …

The Road To Armageddon; Commonwealth Orcs, 1872-2000, Joseph Rex Young

Mythcon

J.R.R. Tolkien’s orcs are perhaps his most exported creations, having become stereotypical antagonists of fantasy games, hewn down in countless dungeons as the evil minions of unnumbered dragons. Commentators have raised justifiable questions about the notion of an ‘evil race,’ though on examination the absorption of orcs into the post-Tolkienian genre, especially by writers from the British Commonwealth, has perpetuated a strikingly consistent, coherently evolving notion of what that evil is. Rather than relitigate questions about the admissibility of orcish evil, the purpose of this paper is to document this point of continuance.

Tolkien equates the orcs of Middle-earth to …

“The Daemons Of Unplumbed Space”: Einsteinian Portals Into The Unknown In Paul W. S. Anderson’S Event Horizon And H.P. Lovecraft’S The Dreams In The Witch House, Kristine Larsen

Mythcon

Jason Colavito notes that “cosmic horror” developed in response to the counterintuitive and unsettling repositioning of space and time within Einstein’s Special and General Theories of Relativity, as embodied in H.P. Lovecraft’s Cthulhu Mythos. The horror of such a “weird tale” derives from the violation of already unnatural seeming physical law by the influence of super-natural powers. Lovecraft himself defined a weird tale as containing at least a hint of a “suspension or defeat of those fixed laws of Nature, which are our only safeguard against the assaults of chaos and the daemons of unplumbed space.” Surely the singularity of …

An Infinite Number Of Roads Diverged In A Wood: Robert Heinlein’S Maximalist Road Trip In The Number Of The Beast, Patrick Julian

Mythcon

Robert Heinlein, Grand Master of Speculative Fiction, was born in Butler, MO (one hour north of Route 66), raised in Kansas City, and lived much of his early adult life in Los Angeles, the westernmost terminus of Route 66. Given this proximity to the Mother Road, it’s no surprise that Heinlein spent a considerable portion of his career writing about various versions of the Road Trip, whether it was taken via foot, horse-drawn carriage, automobile or spaceship. The Roads Must Roll, his 3rd published short story (1940), name checks Route 66, while many of his early works of juvenile …

Culmination Of The Arts And Stem To Enhance Creativity And Promote Learning, Kaleigh Evans

Physics and Astronomy Summer Fellows

In this work, we investigate the results from a survey, issued to a course in “Stained Glass” (n= 23 students). Major findings include that the introduction of a problem-based learning (PBL) course in the arts of stained glass may support high demand skills such as interdisciplinary conceptual learning as well as soft skills such as scientific confidence, interdisciplinary transfer, and collaborative learnings. A journal paper draft was completed and will be submitted this Fall. This summer, work was also done to establish a guide to modeling and 3D printing to help establish and grow a makerspace on campus for use …

Can Machines Testify? Llms And The Boundaries Of Testimonial Epistemology, Michael J. Cummins

Philosophy Summer Fellows

As Large Language Models and AI chatbots become increasingly prevalent, pressing questions are raised about whether beliefs formed through LLM interactions carry the same epistemic weight as beliefs formed through human testimony. How we answer this question depends on whether LLMs can function as testifiers, a role which is typically assumed to require a human or human-like agent. This assumption has gone largely unexamined, yet its consequences are significant: if LLM outputs cannot constitute testimony, then the justificatory tools of testimonial epistemology are unavailable to any beliefs formed through LLM interaction. This paper challenges that assumption. It first argues that …

Mapping Media Literacy Assessment: A Systematic Review To Connect The Dots, Lara Azar, Casey Frechette, Hafsa Zia, Joy Amulya

Journal of Media Literacy Education

The goal of this study was to address persistent challenges in assessing media literacy by reviewing assessments developed between 2011 and 2020. We combined landscape analysis, research synthesis, and grounded theory to select assessments, identify key attributes, iteratively code, analyze, and create an integrated synthesis of approaches to media literacy assessments. The analysis classified media literacy constructs by learning dimension (knowledge, skills, attitudes, behaviors) and participation mode (consumption, engagement, creation). The results showed that while most assessments focused on consumption-oriented constructs, engagement- and creation-oriented constructs were also included. Assessments primarily served three research purposes: evaluating media literacy levels in populations, …