Arts and Humanities Commons^™

Poems For A Calculus Class (After Reading Midlife Calculus And At The Dimensional Border), Kevin Farey

Journal of Humanistic Mathematics

This poetry folder is made up of two short trios. The first begins with “Methods,” a thirteen-line poem by Britt Kaufmann, and continues with two thirteen-line responses to it. The folder’s second half consists of three (non-thirteen-line) responses to a collection of thirteen-line-almost-sonnets by Philip Fried, who had in turn been inspired, during the pandemic, by Edwin Abbot’s Flatland.

Both Kaufmann and Fried are authors of previous JHM poetry folders. Poems from Kaufmann’s book Midlife Calculus appeared in the January 2025 issue and poems from Fried’s series At the Dimensional Border appeared in the July 2024 issue. In addition, …

Plato's God, Vijay Fafat

Journal of Humanistic Mathematics

A poem expressing a thought about recursion in the Platonic Realm, of mathematical archetypes and the dreaming conception of "God"...

The Math Teaching Atlas: Trails, Anchors, And Compass In Action, Ivan Z. Feng

Journal of Humanistic Mathematics

This paper advocates a shift grounded in mathematical reasoning: teach and write math through explicit routeways rather than narratives, anchor new ideas to familiar concepts on a roadmap, and use motivation and concrete examples as a compass and simulation for discovery.

Reminiscences Of My Past Life As A High School Math Teacher, Wayne Nirode

Journal of Humanistic Mathematics

In this article, I reflect on my twenty years as a high school math teacher. I describe four distinct phases of my career in five-year increments. I aim to make public both what makes teaching high school students rewarding and what makes it difficult. Also, my writing illuminates how indelible the first five years were to my development as a teacher. I hope that this brief memoir helps early-career teachers see past the tumultuous beginnings while also inspiring veteran teachers to reflect on their own careers.

Creating Art With The Generalized Pythagorean Theorem, Ángel Colín

Journal of Humanistic Mathematics

The Pythagorean Theorem and its generalizations have been widely studied. In this article we focus on one particular generalization that asserts that the area of a polygon with one side the hypotenuse of a right triangle is the sum of the areas of similar polygons whose corresponding sides are the other two sides [4]. Using this theorem together with interactive software or simply pencil and paper, we create some visually enticing artwork. This activity, we believe, can contribute positively to geometry teaching at all academic levels.

Partnering With Students To Create A Positive Image Of Mathematics, Manmohan Kaur

Journal of Humanistic Mathematics

In a 1989 paper, Barbeau states, “Probably no area of human activity is as afflicted as mathematics with a gap between the public perception of its nature and what its practitioners believe it to be.” Decades later, the situation is much the same. With the technical advances in the contemporary world, mathematics affects our day-to-day activities in essential ways such as e-commerce and credit card security. Mathematical problem solving intrinsically requires creative and critical thinking. However, mathematics is often perceived as uninventive, sterile, static, and removed from human needs and culture. This paper describes how mathematicians can own the image …

Why Read The Classics (Of Mathematical Proofs)?, Cosimo Perini Brogi

Journal of Humanistic Mathematics

Inspired by Italo Calvino’s (almost) homonymous writing, this short essay suggests a formal perspective to complement the typical categorisation of classical results in mathematics on aesthetic bases. The traditional proof that √2 is not a rational number provides a simple example of proof mining. When studied through the tools of logic, that proof has also led to designing new systems for formal proving based on cyclic proofs. This example thus supports the central thesis of this essay that reading the classics of mathematical proofs enables us to acquire a taste for mathematical beauty and can open new directions in mathematics …

A Mathematician Expresses Grief, Richard Delaware

Journal of Humanistic Mathematics

A famous Scottish mathematician of the eighteenth century shares a tragic sorrow.

Making Mathematical Art Via The Harmonic And Perturbed Harmonic Functions, Mehmet Pakdemirli

Journal of Humanistic Mathematics

Starting from the definition of a harmonic function series, we define a new series which we call the perturbed harmonic function series. We explore the relationship of the new series with the Weierstrass and Riemann fractal functions as well as its convergence and differentiability properties. We then illustrate the potential of the harmonic functions in generating complex figures that sometimes resemble natural objects, with explicit numerical examples.

A Note On Modeling Prejudice, Alan Lockard, Edwin Harcourt

Journal of Humanistic Mathematics

We model prejudice in the context of an iterated prisoner’s dilemma tournament. Prejudice here is defined as the inability to distinguish amongst members of an identifiable group. We run a computer simulation where agents of one of two groups with defined strategies are randomly matched against each other. The agents either cooperate with or defect against the agent they are matched with. Our focus is on agents who play an unprejudiced version of the Tit-for-Tat strategy (cooperate with any player in the first encounter, and then apply the same strategy [defect or cooperate] that the opposing player played against them …

How Did Cauchy Prove His Integral Theorem? A Historical Reconstruction For Education Research, José Gerardo Piña-Aguirre, Rosa María Farfán Márquez

Journal of Humanistic Mathematics

In his article “Mémoire sur les Intégrales Définies, prises entre des limites imaginaires” of 1825, Cauchy proves that the integral of a complex function f defined on complex numbers is independent of the path of integration if the function f remains finite and continuous along the chosen path. In contemporary literature that analyzes the mathematics of Cauchy, the specific mathematical process that allowed Cauchy to prove this result is not explicitly presented. The purpose of this manuscript is to communicate a symbolic-algebraic derivation that justifies the narrative argument used by Cauchy to support his proof, thus hopefully filling this gap. …

Gold And Silver In Balance: Khayyam’S Mathematical Analysis Of Binary Alloys, Yousef Yassi, Reza Yassi

Journal of Humanistic Mathematics

The history of titration dates back to Archimedes who established that an object submerged in a liquid displaces an amount of liquid whose weight is equal to the buoyant force acting on the object. Since then, many scientists and engineers have tried to optimize his approach or devise new instruments for titration purposes. Omar Khayyam (1048–1123), in addition to designing a hydro-static balance, developed mathematical approaches for titration of binary alloys, that is, alloys made up of only two elements. Here we explore the different versions of Khayyam’s work on titration given by various sources. We also compare the accuracy …

A Just Balance And The Teaching And Learning Of Mathematics, Marshall Gordon

Journal of Humanistic Mathematics

Society’s response to the question of what is worth sharing and how it best can be provided as conceived by the educational establishment shapes the education of every individual in school. As the classroom experience is a commitment to the future of society, it is good and just for society to support the educational development of each person in order that all can participate productively. In this way a “just balance” is established. In the particular case of educating students in mathematics, however, there is apparently an unjust balance, for despite the considerable time and effort students and teachers in …

Polygonal Number Similarity, Gunhan Caglayan

Journal of Humanistic Mathematics

This note takes an exploratory approach to define and then visualize the notion of polygonal number similarity between pairs of k-gonal numbers P_k(αn) and P_k(n) , where α is an integer scale factor of 2 or greater.

Translating Trattato Dell'alcibra Amuchabile, Olympia Nicodemi

Journal of Humanistic Mathematics

We present a detailed look at one small section of a premodern algebra manuscript from circa 1365 C.E. The manuscript, Tratatto dell’Alcibra Amuchabile (Anonimo), is written in the Tuscan vernacular, with no symbols, no punctuation, and wildly inconsistent (pre-printing press) spellings. We present some of the hurdles to translating this “rhetorical algebra” followed by an annotated translation of one of its algebra rules, Rule 5, through which we learn the methods and mindset of algebra that preceded and seeded the breakthroughs in algebra of the 16^th century. We also point to some of the significant differences between algebra then …

Mathematics And Ethics: Narratives And Conversations, David Pritchard

Journal of Humanistic Mathematics

We provide an eclectic overview of various narratives that mathematicians use to describe mathematics. We discuss some of the ethical issues and approaches that each narrative tends to emphasise, and how these can lead to productive conversation in the absence of a universally agreed philosophical or ethical framework. We also discuss the dangers of a deficit model of ethical engagement, and other threats to conversation.

A Schur-Fire Way To Make Matrix Products Coincide, Keith Copenhaver, Josh Hiller, Christopher Sciortino

Journal of Humanistic Mathematics

When are the Schur product and the matrix product of two matrices the same? With the help of Morpheus (from The Matrix) and more, we explore this question and find both mathematical answers and math-memes.

Exploring The Dynamics Of Romantic Relationships Through The Lens Of Prem Rog, Umang Jain, Dheeraj Sharma, Pranay Goswami, Kuldeep Malik

Journal of Humanistic Mathematics

Romantic relationships are dynamic events that begin, grow, and frequently remain for a long time in a stagnant or fluctuating state until possibly dissipating. Although they are unquestionably the most significant dynamic events in our lives, dynamic systems theory has only recently included them in its formal framework. Without a mathematical model, it would be impossible to analyze and comprehend the dynamics because, in general, love stories are too brief to allow things to stabilize and are affected by the ups and downs of the surrounding community. In this paper, we set up models made up of four ordinary differential …

The More Things Change..., Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

The Loan In Moroccan Arabic: Formal Process And Cultural Requirements, Malika Rafiq

Faits de Langue et Société (FLS)

Borrowing in Moroccan Arabic is part of the dynamics of language contact. The article focuses on lexical borrowings from French and what they become once incorporated into usage: how they change, how they integrate, and especially how prefixation and suffixation in Moroccan Arabic can signal a high level of appropriation. The analysis, organized into four axes, highlights that integration does not happen all at once: a borrowing goes through several stages, and once stabilized, it evolves phonologically, morphologically, and semantically, just like words in the language.

What About Berber Studies? Archival Materials Around Saïd Cid Kaoui’S Dictionaries, Ouahmi Ould-Braham

Faits de Langue et Société (FLS)

Based on archival documents, this article sheds light on a key moment in the history of Berber studies through the career of the Berberist Saïd Cid Kaoui (1859–1910) and the making of his bilingual dictionaries (Tamâheq/Tuareg and Berber varieties of Morocco). It reconstructs the scholarly and institutional context (orientalism, military and university settings, the École supérieure des lettres d’Alger), the publication process, and exchanges with expert reviewers at the Ministry. The analysis highlights issues of terminology, transcription, and standardization, and shows how these lexicographic tools helped structure and disseminate research on Berber varieties.

A Community-Based Participatory Research Approach To Evaluating Perceptions Of Bilingualism Among Latino Parents Of Autistic Children, Ana C. Ramirez, Philip Gerard Gasquoine, Amy A. Weimer, Gabriel González Núñez, Juan R. Maldonado-Coronado, Sarah Surrain, Ana M. Gonzalez-Barrero, Cecilia Montiel-Nava

Psychological Science Faculty Publications

Bilingualism has multiple benefits, however, non-native English speakers in the United States often lose their minority language. Nevertheless, language attrition is preventable, as parental perceptions of bilingualism (PoB) contribute to a child’s active use of each language and influence proficiency. At present, there is a significant gap in understanding how different cultures and belief systems might influence the language development of autistic children from bilingual Latino families. Furthermore, research on PoB among parents of autistic children has mainly been qualitative in nature. The purpose of this study was to (a) employ a community-based participatory research (CBPR) approach to develop a …

Zoune At Her Nann-Enn's House, Justin Lhérisson, Susan Kalter

Undiscovered Americas

Zoune at Her Nann-enn’s House by Justin Lhérisson is a 1906 Haitian novella that examines the social and domestic trials young women face as they come of age. Translated by Susan Kalter, this first-ever English-language edition of the book also provides a rich afterword that critically situates Lhérisson’s story in social and political Haitian contexts and establishes how those particular contexts connect to larger social issues in our present moment. The plot follows a quietly resilient young girl, Zoune, sent from the countryside to live with her godmother in Port-au-Prince. Removed from her biological family, Zoune grows up under the …

Literature Review: Crowdfunding And Political Fundraising, Saiful Ahmad, Palupi Lindiasari Samputra

Journal of Strategic and Global Studies

Crowdfunding is an effort to raise relatively small amounts of money involving many individuals to support a specific project. Typically, crowdfunding is conducted online through fundraising platforms. The aim of this paper is to identify and analyse the utilisation of crowdfunding in fundraising activities that are related to or have political goals carried out by certain organisations or political groups. The method used in this paper is qualitative in the form of narrative analysis carried out through in-depth reading of several scientific literatures that discuss political fundraising through crowdfunding. The sources of scientific literature collection were obtained through the Google …

How A Stay-At-Home Father Plays A Role In Family Resilience?, Fatimah Fatimah, Eko Daryanto

Journal of Strategic and Global Studies

One of the impacts of modernization is the loss of barriers between job and particular gender. This also happens in the family unit, more specifically in the role of husband and wife. The husband's job which is identical to earn money and the wife's job is to manage the household should be able to be done more flexibly according to family conditions. This adaptation process is needed in order to strengthen family resilience. Non-traditional family composition that usually consist of a stay-at-home father and a working mother can be used as a family adaptation strategy. This study uses the results …

Implementation Of Zero Trust Architecture On Local Server Management In Educational Institutions, Joko Purwanto, Safar Dwi Kurniawan

Journal of Strategic and Global Studies

Educational institutions are facing increasingly complex cyber threats, particularly as they continue to rely on on-premises servers with limited cybersecurity resources. Zero Trust Architecture (ZTA) offers a security model that rejects implicit trust and requires strict verification of each access request. This study aims to examine the applicability of ZTA in managing local servers within educational institutions through a qualitative literature review approach. Relevant literature from 2014 to 2025 was analyzed using thematic synthesis to identify recurring concepts, strategies, and gaps. The results show that ZTA, when integrated with Identity and Access Management (IAM), Security Information and Event Management (SIEM), …

Humanity Is Evolving Its Consciousness: The Role Of Archetypal Energies As Guides During An Unfolding Weeding Out And Alignment Process, Carroy U. Ferguson

Psychology Faculty Publication Series

Humanity is evolving its consciousness at individual and collective levels.  Given these seemingly tumultuous times, as of this writing (January 2026), to make such a statement may sound like a strange thing to say.  However, I suggest that if you are alive today and if you are reading these words, these are the very times for which you were born—to assist Humanity as it evolves its consciousness with your unique gifts, whatever they may be.  That is, this period of our individual and collective human being-ness may be characterized as an unfolding period of weeding out and alignment with the …

Selective Reading, Jaylen M. Mitchell

SPARK Symposium Presentations

No abstract provided.

Opening Remarks At The Launch Of Lagff-Doc And The Inaugural Lmu Prize For Social Justice For Documentaries: The Lmu–Lagff 10-Year Educational Partnership, Katerina Zacharia

Classics and Archaeology Faculty Works

This document comprises two speeches delivered by Professor Katerina Zacharia on January 31, 2026, at Loyola Marymount University. The first speech marks the launch of the inaugural Los Angeles Greek Documentary Film Festival (LAGFF-doc) and celebrates a decade of educational partnership between LMU's Department of Classics & Archaeology and the Los Angeles Greek Film Festival (LAGFF). It reflects on the program's growth since 2014 — encompassing over 220 student interns, 135 students in Greek cinema courses, and 15 School of Film and Television faculty jurors — and articulates LMU's Jesuit mission of educating the whole person through experiential learning, critical …