Arts and Humanities Commons^™

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

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

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 …

The Professional Journey Of A Female Mathematician: From India To The United States, Bhamini M. P. Nayar

Journal of Humanistic Mathematics

This article chronicles the journey of an immigrant female mathematician in the United States. The chronicle encompasses early training, encouragements received, road-blocks encountered and the background while growing up which shaped the core of her being. The loving, supportive and educative background she received early in life provided the strength to withstand the hurdles thrown in the path of her career advancement. These hurdles are not unique to the author; many immigrant professionals face similar situations. The purpose of the article is to bring awareness to these challenges such professionals face and how they still persevere with discipline and focus.

Polygon Quadrature And Dodecagonal Tessellation With Pattern Blocks, Gunhan Caglayan, Ben Kamau

Journal of Humanistic Mathematics

The age-old 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 K-12 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 Risk-Taking 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 non-traditional teaching methods we observed employed by one of our professors. This professor’s methods challenge the common belief that well-managed class time is key for positive learning outcomes. Instead, he orients his teaching to share the exploration and sense-making 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, …

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

Journal of Humanistic Mathematics

Mathematics is often presented as a neatly polished finished product, yet its development is messy and often full of mis-steps 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, Po-Hung 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 non-circular orbit, …

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 …

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 combinatorics-inspired 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

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 “non-Aryan 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

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 clear-cut 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

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 student-instructor 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 major-only seminars) at different kinds of institutions (a private, open-admission, large university on the East Coast and a private, highly selective, small liberal arts college on the …

Finding Your Mathematical Roots: Inclusion And Identity Development In Mathematics, Linda Mcguire

Journal of Humanistic Mathematics

This paper details a semester-long course project that has been successfully adapted for use in mathematics courses ranging from introductory level, general-education 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 self-situate 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 …

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 …

Our Histories, Our Values, Our Mathematics, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

Human Zoo Healthcare At The 1904 World’S Fair, Angel Blake

Undergraduate Research Symposium

Human Zoo Healthcare at the 1904 World’s Fair

Were precautions taken or put into place for the Human Zoo performers at the 1904 World’s Fair? This topic has been overlooked and understudied by historians, there are few articles written and we do not know the true death toll which shows the racism towards these indigenous peoples. The research for this project was conducted at the State Historical Society of Missouri, the St. Louis Mercantile Library, Newspapers.com, Archives.com, St. Louis Public Library, and the Missouri Historical Society, including research on primary sources such as official World’s Fair committee meeting minutes, hospital …

How Technology Is Helping Holocaust Deniers Rewrite History, Michael Raffelson

Undergraduate Research Symposium

In the age of social media, it is easier to connect to people with like-minded views. Well, my poster offers an explanation for how prevalent holocaust deniers are on social media and what exactly companies are doing about it.

Preserving Sacred Memory: The Effort To Create The United States Holocaust Memorial Museum, Jessica Wachtel

Undergraduate Research Symposium

This poster attempts to provide insight on how the American government remembers the Holocaust through its formation of the United States Holocaust Memorial Museum in Washington, D.C. Topics include the physical structure of the museum, the history of the museum, and the relationship between original museum chairman Elie Wiesel and U.S. presidents Jimmy Carter and Ronald Reagan.

Holocaust Denial: The Conspiracy Of Ignorance, Morgan Nelson

Undergraduate Research Symposium

Holocaust denial means denying that the intentional mass extermination of Jews by the Nazi Regime during WWII happened. It is essential to know about these deniers and to refute their claims to stop the spread of misinformation. Topics investigated were what Holocaust denial is, why deniers support it, who are Holocaust deniers, an example being David Irving, the major claims of deniers, and how historians refute those claims. Those answers were found from multiple sources, including Denying the Holocaust by Deborah Lipstadt and Hitler's War by David Irving. The major findings were there are many denier claims. Three major ones …

The Roaring Lion Of Berlin: The Life, Thought, And Influence Of Eugen Dühring, Arden Roy

Undergraduate Research Symposium

The life and influence of 19th-century German polymath Eugen Dühring remain but a mere footnote in the history of ideas, being primarily relegated to the status of little more than a theoretical rival to Marxism in the German socialist movement and the occasional object of Freidrich Nietzsche's rhetorical flogging. Despite the current consensus on the subject, Eugen Dühring was a scholar of vast, remarkable learnedness, contributing greatly to philosophy, economics, and the natural sciences. The aim of this talk will be to clear the fog surrounding the life and work of the controversial blind scholar and give an account of …

Erwin Rommel: Noble Knight Of Germany Or Nazi Knave?, Jake Schultz

Undergraduate Research Symposium

This poster seeks to explore the historical memory of Field Marshal Erwin Rommel and his legacy today in commemoration in modern Germany.

Third Reich In Harry Potter: Fiction Imitating Fact, Paul Sanders

Undergraduate Research Symposium

Nazi Germany makes an appearance in numerous forms of media, however none so popular across the world as the Harry Potter book series. This poster will be examining how J.K Rowling incorporates aspects of the Third Reich in her writing of the Harry Potter series.

Magneto’S Origin In The Holocaust And How It Influences His Character Today, Rena Usprich

Undergraduate Research Symposium

Marvel's Magneto was created in 1963, originally with no connection to the Holocaust. However that changed in the late 1970's when his origin was reworked to make him a Jewish Holocaust survivor. That origin persists to this day and is explored in modern media produced by Marvel, both film and comic-wise.

"I Hate Illinois Nazis:" Remembering Hate Speech And The First Amendment In Skokie, Illinois, Morgan Myers

Undergraduate Research Symposium

In 1976, the leader of the Illinois chapter of the National Socialist Party of America (neo-Nazis) sent over 30 requests to hold demonstrations in various areas of Chicago. The village of Skokie was the only one to respond, denying their request. The Nazis sued the city, claiming their freedom of speech was being impeded. The resulting court case has had lasting legal and social consequences that continue to define the meaning of both free speech and hate speech in the United States.

"Killin' Nazis": How Jews Are Portrayed In Tarantino's Inglorious Basterds, Skylar Baxter

Undergraduate Research Symposium

In Quentin Tarantino's Inglorious Basterds, Jews are portrayed as violent, revenge-seeking Nazi hunters. This portrayal creates an ironic conflict within Tarantino's audience because Jews are seen as capable of the same atrocities of which they were victims. Under Hannah Arendt's definition of Nazis, the actions of the Jews in Inglorious Basterds are not equivalent to the crimes that Nazis committed. Jewish revenge fantasies are thereby not the same as the actual violence that Jews received from Nazis.

Unraveling The Truth: The Wannsee Conference And Holocaust Denial, Howie Parkes

Undergraduate Research Symposium

The Wannsee Conference, held in January 1942, marked a crucial turning point in the Holocaust, as it signified the Nazi regime's decision to systematically exterminate Europe's Jewish population on an industrial scale. This poster presentation examines the role of the Wannsee Conference in Holocaust denial narratives and the portrayal of the conference in the critically acclaimed film, Conspiracy (2001). I discuss how Holocaust deniers use the Wannsee Conference to argue against the existence of a plan to exterminate Jews or to suggest that the conference never took place. Through an analysis of the conference transcript, I demonstrate its significance in …

Afterlight: Game Design And The Power Of Narrative, Elio Hollenbeck

Undergraduate Research Symposium

In the last few decades we as a society have watched the evolution of games as a storytelling medium. From Candyland to The Last of Us, all games use some form of narrative to bring players into the world of the game. Over the course of the last six months, I’ve been developing a tabletop card game with the working title of Afterlight. In this presentation, I will be explaining my process as I’ve worked on designing and refining this game. I will also talk about why I feel game design can be an effective way to engage people with …