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Discordium Mathematica - A Symphony In Aleph Minor, Vijay Fafat

Journal of Humanistic Mathematics

How did Mathematics arise? Who created it? Why is it subject to Godel’s Incompleteness Theorems? And what does all this have to do with Coleridge’s poem, “Kubla Khan”, and “The Person from Porlock”? Here is a complete mythology of Mathematics set in an epic poetry format, fusing thoughts and verses from Western religions and Eastern mysticism… Those with immense patience and careful reading shall reap the fruit… (best read on a large screen or in printed form)

Pi: A Perpetual Journey, Ravindra K. Bisht

Journal of Humanistic Mathematics

A brief history of the constant pi is presented with a poetic flavor.

Love Is No Mean Thing: A Larkin Logarithm, Michael P.H. Stanley Md

Journal of Humanistic Mathematics

This poem was recited at a marriage recently in Vermont. I met the groom in my freshman year. He was the first college friend I ever made, and he used to burst into the room like Cosmo Kramer and settle down in an easy-chair to think about math (my side of the dorm was quieter than his). I thought that was remarkable and delightful, and so, when the task came to write a matrimonial poem for him, I selected a mathematical conceit. The poem concludes with a mathematical paraphrasing of Philip Larkin's last line from Arundel Tomb.

Eighth Grade Algebra, Joseph Chaney

Journal of Humanistic Mathematics

This is a poem about the affirming power of algebra in the life of a teenager.

Prime Motivation Of Eratosthenes, Pamela L. King

Journal of Humanistic Mathematics

The sieve of Eratosthenes is used as a metaphor for the concept of people falling through the social safety net, and people who were once excluded, making efforts to increase inclusiveness.

Poems From The Series "At The Dimensional Border", Philip Fried

Journal of Humanistic Mathematics

Poems about the border between the second and third dimensions, on geometry and the human condition.

Mathematical Graffiti: Bridges 2023 Clerihew Collection

Journal of Humanistic Mathematics

Clerihews are poems of a form invented by Edmund Clerihew Bentley around the turn of the 19th-20th century. The poems are typically biographical, humorous, and are made up of two couplets. The rhyming pattern is always aabb, but the meter of the two couplets is usually not the same. The first line is simply the name of the person, the other three lines relate to the subject, often in an absurd way. If the rhyme is slightly off, or the rhythm irregular or awkward, or the facts a bit confused, so much the better. The present collection of clerihews, written …

Book Review: How To Expect The Unexpected: The Science Of Making Predictions -- And The Art Of Knowing When Not To By Kit Yates, Mark Huber

Journal of Humanistic Mathematics

Humans think about the future all the time. Prediction is a part of how we prepare for the coming of both good and bad events in our lives. Kit Yates' book, How to expect the unexpected, concentrates primarily on the question of why prediction is difficult, and what mental shortcuts people take in prediction that can lead to incorrect results. Unfortunately, a lack of concern for details and several omissions undermine the quality of the book.

Geometric Shapes That Sing And Move: An Interdisciplinary Lesson With Pre-Service Teachers, Gladys Krause, Gustavo Velandia

Journal of Humanistic Mathematics

Our work shares a practical example of an interdisciplinary lesson in which two teacher educators collaborated to integrate mathematics and music in an elementary mathematics methods course. This paper describes the process of collaboration in designing the lesson and shares original instructional resources to be used in the classroom. We also discuss what the pre-service teachers participating in the lesson shared about their learning experience, and what we, the teacher educators, learned from this experience. In presenting this work we aim to promote the opening of spaces in teacher preparation programs that allow pre-service teachers to develop their own instructional …

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 …

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.

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

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

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

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

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.

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 …

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 . . . τ_k, 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 …

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

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

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

Journal of Humanistic Mathematics

No abstract provided.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

The Philosophy Of Spirits Purification In The Ritual Entas-Entas In Wonotoro Village As The Identity Of The Tengger Community, Turita Indah Setyani, Titik Pudjiastuti, Rias Suharjo, Mamlahatun Buduroh, Mu’Jizah Mu’Jizah, Dwi Rahmawanto

International Review of Humanities Studies

This paper examines the Ritual Entas-entas as a purification ceremony for spirits in Wonotoro Village, Tengger. The ritual originates from a manuscript believed to aid in purifying the spirits of deceased family members. This ritual has been passed down orally. However, the manuscript serving as the reference for the ritual can no longer be traced. The issue is, how the sustainability of the Ritual Entas-entas in Wonotoro Village, Tengger? The research aims to demonstrate that the Tengger community possesses a collective memory strength and high adherence to traditional rules as part of everyday religious practice. The research utilizes ethnographic methodology …

The Role Of Salimah Mass Organization In Build The Family Resilience (Case Study In Cimanggis Sub-District, West Java, 2019-2022), Izzah Asy Syahidah, Basuni Imamuddin

International Review of Humanities Studies

Weak family resilience can cause various problems for family or society. Ideally, building family resilience is also needed society support. It will be more efficient if there is a place where people work together, such as a mass organization. One of the organizations that has contributed in building family resilience is Salimah (Muslimah Association). It is a mass organization of Indonesian Muslim women that focuses on providing solutions to improve the quality of women, children, and families. Salimah has many programs aimed at building family resilience. This study aims to examine Salimah’s role in building family resilience in Cimanggis sub-district, …

Phylogenetic Analysis Of Anthropomorphic Rock Art: A Study Of Material Culture Evolution, Muhammad Faisal Chair, Ali Akbar

International Review of Humanities Studies

This paper provides an explanation of the application of phylogenetic analysis, derived from biology, to be applied in archaeology with the aim of observing evolutionary phenomena, the development of ideas, and the dissemination of ideas from material culture. Phylogenetics will be applied to data on anthropomorphic motifs at five rock art sites in West Sumatra: Gua Lidah Air, Gua Runjo, Ngalau Tompok Syohiah, Batu Basurek, and Gua Basurek. The main stages in this analysis involve collecting representative data in the category of distinctive values from each rock art site. Distinctive values data is obtained through observation and identification of morphological …

Itagaki Paru's Animalized Japan, Adoria Shanelle Walker

Dissertations and Theses

In the earlier works of manga artist and author Itagaki Paru, animal characters are used to prompt a discussion of the uchi/soto ("in-group"/"out-group") dynamic present in Japanese society. Throughout her most popular work, Beastars, and its supplemental short story collection Beast Complex, Itagaki tackles binary thinking and in-group versus out-group social politics using a blatantly obvious, yet nuanced and subtle herbivore-versus-carnivore, predator-versus-prey metaphor. The world she depicts in these works is full of misunderstandings caused by hastily made assumptions, sometimes instinctually quick. With her animalized characters, she explores human stigmatization and the poor treatment of those who do not want …

Mathematical Concepts And Coding Theory In Kumārasambhavam Of Kālidāsa, Bhuvaneswari K

Theses and Dissertations

Kālidāsa, a renowned Sanskrit poet and playwright from ancient India, is known for his profound understanding and depiction of various aspects of human life, nature, and the universe in his works. While his writings primarily revolve around themes of love, romance, and human emotions, there are several instances where he incorporates mathematical concepts and astronomical references.

His meticulous usage of such abstractions and symbolism adds depth and richness to his poetry. These elements serve as tools to enhance the imagery and aesthetics of his literary works, reflecting the interplay between art and science in ancient Indian culture. These subtle allusions …

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

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 …