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Articles 1  30 of 2562
FullText Articles in Physical Sciences and Mathematics
Mathematical Relationships, David Sheskin
Mathematical Relationships, David Sheskin
Journal of Humanistic Mathematics
A digital collage depicting the mathematics of interpersonal relationships.
Automorphisms: New Cars For 2024, Jane P. Sheldon
Automorphisms: New Cars For 2024, Jane P. Sheldon
Journal of Humanistic Mathematics
This review of new cars for 2024 demonstrates total variation.
Hypatia's Math: A Play, Daniel S. Helman
Hypatia's Math: A Play, Daniel S. Helman
Journal of Humanistic Mathematics
Hypatia of Alexandria was the most famous woman mathematician of antiquity, and her story is as relevant now as it was in her day. This play tells her story. While the events in the play are based closely on extant historical texts, inspiring excerpts from classical works by Porphyry, Plotinus, Aristotle and Plato are woven into the action to further the plot and add to the classical mood. Dance and music, including an Homeric hymn, add to the artistic texture.
Persistence: A Romance In Many Dimensions, Tony Bedenikovic
Persistence: A Romance In Many Dimensions, Tony Bedenikovic
Journal of Humanistic Mathematics
This is a short poem which is inspired by Edwin Abbott's Flatland. The poem follows the narrator through a typical day with a focus on the individual's persistence in the face of nature's brawn and magnitude.
The Free Numbers, Jessica Greenbaum
The Free Numbers, Jessica Greenbaum
Journal of Humanistic Mathematics
No abstract provided.
The Point At Infinity, Josh Hiller
The Point At Infinity, Josh Hiller
Journal of Humanistic Mathematics
A poem about the longing for parallel lines to meet.
Pied Beauty, Pamela Vale
Pied Beauty, Pamela Vale
Journal of Humanistic Mathematics
This is a shape poem about the beauty of mathematics formed with the lines containing the number of words corresponding to the digits in pi (to 26 places).
The Conviction Of Miss Prediction, Dane C. Joseph
The Conviction Of Miss Prediction, Dane C. Joseph
Journal of Humanistic Mathematics
Miss Prediction is questioned in a court of law over her involvement in the mischaracterization of linear models when they were inappropriate.
Variations On A Meme: Thoughts And Responses To Isaac Elishakoff’S “Differential Equations Of Love And Love Of Differential Equations", Jonathan Kinsman
Variations On A Meme: Thoughts And Responses To Isaac Elishakoff’S “Differential Equations Of Love And Love Of Differential Equations", Jonathan Kinsman
Journal of Humanistic Mathematics
This folder contains reflections and three poems written in response to Isaac Elishakoff’s JHM article “Differential Equations of Love and Love of Differential Equations" (July 2019).
A Personal And Multicultural Journey Through The World Of Games (With A Little Math) Or Book Review: Around The World In Eighty Games, By Marcus Du Sautoy, KarlDieter Crisman
A Personal And Multicultural Journey Through The World Of Games (With A Little Math) Or Book Review: Around The World In Eighty Games, By Marcus Du Sautoy, KarlDieter Crisman
Journal of Humanistic Mathematics
Author and number theorist Marcus Du Sautoy has written a book about games, including a light dose of mathematics. In it, he journeys through far more than (his choice of) eighty of “the world’s greatest games”, laying out a charming voyage through many lands. Despite some reservations, this reviewer finds that Around the World in Eighty Games is wellwritten and quite fascinating, largely due to its idiosyncratic, personal nature.
Quik Church, Route 3.141592, Sarah Voss
Quik Church, Route 3.141592, Sarah Voss
Journal of Humanistic Mathematics
The following set of poems are from one of ten sections in a collection of poetry called Quik Church: Short Poems that Travel Far. Each section illustrates one of many “streets” which individuals often take on their spiritual journey through life, e.g., the Old Gods Path, Nature Trail, Memory Skyway, Mystic Avenue, Pastoral Lane, and so on. This one, Route 3.141592, is the route of mathematics and the science that depends on mathematics.
Hockey Card Statistics Are Stagnant And Stale, Egan J. Chernoff
Hockey Card Statistics Are Stagnant And Stale, Egan J. Chernoff
Journal of Humanistic Mathematics
The purchase of a coffee at a Canadian institution, Tim Hortons, turned into an informal investigation into hockey card statistics. Turns out, hockey card statistics are stagnant and stale. This was disappointing to see because the game of hockey has changed, the statistics used to keep track of the game have changed. Even the cards have changed. Well, not the back of the cards, which do not well enough paint a statistical picture of the hockey player photographed on the front of the card.
The Limits Of Data Science, David E. Drew
The Limits Of Data Science, David E. Drew
Journal of Humanistic Mathematics
Data science can contribute valuable predictions in diverse fields. But I write to express some concerns and red flags. I suggest that data science is being oversold. This article contains three questions that I believe data science must address as this new discipline matures. Is data science significantly different from statistics? This is a question that has haunted the field since the term first was introduced. By creating algorithms based on current societal decision rules that may be biased, even bigoted, does data science lock in and exacerbate inequality? Scholars have identified a continuum from data to information to knowledge …
Reflections On Teaching Mathematics In Prisons, Matthew Junge
Reflections On Teaching Mathematics In Prisons, Matthew Junge
Journal of Humanistic Mathematics
I started teaching math in prison ten years ago during my PhD studies. Since then, I have taught for three different collegeinprison programs across the country. The goal of this piece is to communicate my experiences with the hopes of encouraging more mathematicians to get involved.
Polygon Quadrature And Dodecagonal Tessellation With Pattern Blocks, Gunhan Caglayan, Ben Kamau
Polygon Quadrature And Dodecagonal Tessellation With Pattern Blocks, Gunhan Caglayan, Ben Kamau
Journal of Humanistic Mathematics
The ageold challenge of polygon quadrature involves converting a polygon into a square of equal area. In this educational resource, we utilize pattern blocks, commonly employed instructional aids in K12 education across the United States, to visually demonstrate the transformation of different equilateral and regular pattern block polygons into squares. This is achieved through the application of the area conservation principle and geometric congruence/similarity reasoning.
Benefits Of RiskTaking In Teaching Mathematics, Mehmet Kirmizi, Abigail Quansah, Zafer Buber
Benefits Of RiskTaking In Teaching Mathematics, Mehmet Kirmizi, Abigail Quansah, Zafer Buber
Journal of Humanistic Mathematics
In this paper, we, a group of graduate students in mathematics education, discuss some of the metacognitive benefits of the nontraditional teaching methods we observed employed by one of our professors. This professor’s methods challenge the common belief that wellmanaged class time is key for positive learning outcomes. Instead, he orients his teaching to share the exploration and sensemaking phases of doing mathematics. The goal of his teaching is to share the idea that learning mathematics is a process of “refining our mathematical thinking”. We argue that this approach to teaching helps students see that mathematics is a human endeavor, …
The Frankensteinian Nature Of Mathematics, Ali Barahmand
The Frankensteinian Nature Of Mathematics, Ali Barahmand
Journal of Humanistic Mathematics
Frankenstein is a story about a scientist who creates a sapient creature that gets out of control and horrifies its creator by its unexpected behavior. In this note, we show that this type of undesirable behavior can reflect a part of the nature of mathematics, and that its origin is related to the ontological question of whether mathematics is invented or discovered. Based on a review of the relationship be tween discovery and invention, we demonstrate that mathematics has similarities and differences with both discovery and invention. In the natural sciences, new instruments have to be invented to discover new …
Does Chatgpt Know Calculus?, Kris H. Green
Does Chatgpt Know Calculus?, Kris H. Green
Journal of Humanistic Mathematics
Academics and educators across the world are grappling with how OpenAI’s new software, ChatGPT, will impact teaching and learning. This essay explores ChatGPT’s response to a typical calculus problem as a way of illustrating its functionality and limitations.
Seating Groups And 'What A Coincidence!': Mathematics In The Making And How It Gets Presented, Peter J. Rowlett
Seating Groups And 'What A Coincidence!': Mathematics In The Making And How It Gets Presented, Peter J. Rowlett
Journal of Humanistic Mathematics
Mathematics is often presented as a neatly polished finished product, yet its development is messy and often full of missteps that could have been avoided with hindsight. An experience with a puzzle illustrates this conflict. The puzzle asks for the probability that a group of four and a group of two are seated adjacently within a hundred seats, and is solved using combinatorics techniques.
Logical Or Epistemological? A Study On Kepler’S 3m Cosmological Model, PoHung Liu
Logical Or Epistemological? A Study On Kepler’S 3m Cosmological Model, PoHung Liu
Journal of Humanistic Mathematics
Kepler published Mysterium Cosmographicum in 1597 constructing his cosmo logical model based on the five regular polyhedra. Such a creative but weird idea was almost consistent with empirical evidence. Furthermore, following the Pythagorean belief about the connection between music and astronomy, Kepler delved into looking for what things having to do with the planetary movements have the harmonic consonances. This article claims that Kepler’s model is a 3M (mathematical, musical, and metaphysical) model and demonstrates how it had been constructed. Furthermore, I explore the reasons behind Kepler’s departure from the 3M model and his subsequent consideration of a noncircular orbit, …
On Parallels Between Words And Music, Will Turner
On Parallels Between Words And Music, Will Turner
Journal of Humanistic Mathematics
A generalised song is a means of drawing parallels between words and music. The parallels are encoded in a mathematical structure, which is interpreted in a verbal structure and a musical structure. Here we develop a number of new techniques for drawing such parallels, in giving two examples of generalised songs, `Relation', and `Merge/Split'.
The first five partials of a note played on a piano are roughly 0,12,19,24,28 semitones above the fundamental.`Relation' is a generalised song, whose musical part is played on a piano, constructed from the mathematical relation 4.28 = 3.12 + 4.19.
`Merge/Split' is a generalised song whose …
Undergraduate Mathematics Students Question And Critique Society Through Mathematical Modeling, Will Tidwell, Amy Bennett
Undergraduate Mathematics Students Question And Critique Society Through Mathematical Modeling, Will Tidwell, Amy Bennett
Journal of Humanistic Mathematics
Mathematics can be used as a tool to question and critique society and, in doing so, give us more information about the world around us and how it operates. This however, is not a common perspective that is conveyed to students during their undergraduate mathematics coursework. This paper contributes to the understanding of how undergraduate mathematics students question and critique society via mathematical modeling tasks. In two courses at two universities, 27 mathematics majors and secondary preservice teachers engaged in the modeling process situated in authentic contexts to learn specific concepts and make mathematical connections across domains and disciplines. Both …
Aesthetic Approaches To Symmetric Functions, John M. Campbell
Aesthetic Approaches To Symmetric Functions, John M. Campbell
Journal of Humanistic Mathematics
Symmetry is often regarded as an integral aspect about aesthetics. This motivates the pursuit of interdisciplinary studies based on the use of subjects in mathematics concerned with symmetry in conjunction with aesthetics. What is referred to as a symmetric function in the field of algebraic combinatorics is an abstraction based on polynomials that exhibit a symmetric property, and this leads us to pursue an algebraic combinatoricsinspired exploration based on aesthetics. In particular, we use different bases and transitions between them to create aesthetically pleasing visualizations of symmetric functions. We see that these visualizations in turn raise new and interesting questions.
Mathematicians Going East, Pasha Zusmanovich
Mathematicians Going East, Pasha Zusmanovich
Journal of Humanistic Mathematics
I survey emigration of mathematicians from Europe, before and during WWII, to Russia. The emigration started at the end of 1920s, the time of “Great Break”, and accelerated in 1930s, after the introduction in Germany of the “nonAryan laws”. Not everyone who wanted to emigrate managed to do so, and most of those who did spent a relatively short time in Russia, being murdered or deported, or fleeing the Russian regime. After 1937, the year of “Great Purge”, only a handful of emigrant mathematicians remained, and even fewer managed to leave a trace in the scientific milieu of their new …
Sharing Four Biscuits Between Three People: An Illustrative Example Of How Mathematics Is Intertwined With Human Values, Lovisa Sumpter, David Sumpter
Sharing Four Biscuits Between Three People: An Illustrative Example Of How Mathematics Is Intertwined With Human Values, Lovisa Sumpter, David Sumpter
Journal of Humanistic Mathematics
Despite convincing arguments by mathematicians, philosophers, sociologists and machine learning practitioners to the contrary, there remains a widespread notion amongst many members of the general public (and some practitioners) that mathematics is neutral, that it is free from human values. One reason why this notion persists is that we lack clearcut examples that demonstrate how mathematics and values are intertwined. In this paper, we offer one such example. In particular, we show that when sharing four biscuits between three people, several possible mathematical and ethical frameworks can be used. We demonstrate that different solutions—hiding one biscuit, arbitrarily sharing the extra …
The Automathography: A Humanistic Autobiographical Writing Assignment For Mathematics Courses, Colton Sawyer, Ron Buckmire
The Automathography: A Humanistic Autobiographical Writing Assignment For Mathematics Courses, Colton Sawyer, Ron Buckmire
Journal of Humanistic Mathematics
In this article, we discuss an autobiographical writing assignment that we call an “automathography” which can be used in different types of mathematics and mathematics education courses, and by extension, in other disciplines as well. This assignment can enhance studentinstructor interactions, develop student communication skills, and provide outlets for student creativity by leveraging the lived experiences of students. We have deployed the assignment in different kinds of classes (general education [service] courses and majoronly seminars) at different kinds of institutions (a private, openadmission, large university on the East Coast and a private, highly selective, small liberal arts college on the …
Gödel's Theorem In The Continuing Education Of Mathematics Teachers, Ana J. Lemes
Gödel's Theorem In The Continuing Education Of Mathematics Teachers, Ana J. Lemes
Journal of Humanistic Mathematics
The notion of dépaysement épistémologique (epistemological disorientation) aims to capture the sense of disorientation when a learner is led to question their prior assumptions and understandings, generating uncertainty in a context in which they thought they had certain knowledge. This article describes an activity used with a group of practicing mathematics teachers in Uruguay that integrates elements of the history of mathematics related to Gödel’s incompleteness theorem, with the aim of provoking in the participants the experience of dépaysement épistémologique. Results show that several of the teachers participating in the activity felt dépaysement épistémologique, and this feeling triggered …
Finding Your Mathematical Roots: Inclusion And Identity Development In Mathematics, Linda Mcguire
Finding Your Mathematical Roots: Inclusion And Identity Development In Mathematics, Linda Mcguire
Journal of Humanistic Mathematics
This paper details a semesterlong course project that has been successfully adapted for use in mathematics courses ranging from introductory level, generaleducation classes to advanced courses in the mathematics major. Through creating aspirational mathematical family trees and writing mathematical autobiographies, this assignment is designed to help battle belonging uncertainty, to challenge students to selfsituate in relation to the history of mathematical and scientific knowledge, and to make visible a student’s developing identity in mathematics and, more broadly, in STEM.
The construction and scaffolding of the project, assignments, examples of student work, foundational readings, assessment and outcomes, and adaptation strategies for …
Our Histories, Our Values, Our Mathematics, Mark Huber, Gizem Karaali
Our Histories, Our Values, Our Mathematics, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
No abstract provided.