Mathematics, 2023 Northwestern College - Orange City

#### Mathematics, Kim Regnier Jongerius

*Journal of Humanistic Mathematics*

Inspired by the song "Memories" from the musical *Cats*, this work describes some of the frustrations and joys inherent in mathematical work.

Self-Reference And Diagonalisation, 2023 Technische Universität Darmstadt

#### Self-Reference And Diagonalisation, Joël A. Doat

*Journal of Humanistic Mathematics*

This poem is an exercise on self-reference and diagonalisation in mathematics featuring Turing’s proof of the undecidability of the halting problem, Cantor’s cardinality argument, the Burali-Forti paradox, and Epimenides' liar paradox.

Wartime Logic, 2023 Bradley University

#### Wartime Logic, Tony Bedenikovic

*Journal of Humanistic Mathematics*

No abstract provided.

Poetry Folder: Mathematical Constants Beyond The Half-Circle, 2023 Claremont Colleges

#### Poetry Folder: Mathematical Constants Beyond The Half-Circle

*Journal of Humanistic Mathematics*

In our July 2022 issue, we announced an open call for poetry about mathematical constants other than pi. And you delivered. This folder contains five eclectic poems celebrating those constants beyond the half-circle, written by Robin Chapman, John Donoghue, Kevin Farey, Lawrence M. Lesser, and E. R. Lutken.

Enjoy!

Book Review: Algebra The Beautiful: An Ode To Math’S Least-Loved Subject By G. Arnell Williams, 2023 Pitzer College

#### Book Review: Algebra The Beautiful: An Ode To Math’S Least-Loved Subject By G. Arnell Williams, Judith V. Grabiner

*Journal of Humanistic Mathematics*

In his book *Algebra the Beautiful*, G. Darnell Williams has undertaken a challenging job – to show the importance, deep structure, intellectual connections, and sheer beauty of classroom algebra. This review describes some of the questions the book raises, the historical and cultural context it provides, and the intellectual apparatus it deploys.

Anneli Lax: They Think, Therefore We Are, 2023 California State University Northridge

#### Anneli Lax: They Think, Therefore We Are, Elena Anne Corie Marchisotto

*Journal of Humanistic Mathematics*

No abstract provided.

Walking Alone: My Career In Mathematics, 2023 Lingnan Normal University

#### Walking Alone: My Career In Mathematics, Maohua Le, Yongzhong Hu

*Journal of Humanistic Mathematics*

In this article, dictated by Maohua Le and arranged by Yongzhong Hu, Professor Le briefly recounts his legendary experience of self-study mathematics, which reflects the life experiences of his generation of Chinese people.

Blending Mathematics Teaching With Kindness, 2023 University of Texas at El Paso

#### Blending Mathematics Teaching With Kindness, Kien H. Lim, Anthony Matsuura

*Journal of Humanistic Mathematics*

Mathematics can be intellectually demanding, engaging, and fulfilling. Learning mathematical concepts adequately warrants an environment where students can err without penalty, shame, or hurtful consequences. Teaching mathematics efficaciously depends on the trusting relationship between the teacher and the students. We advocate blending mathematics teaching with kindness because it benefits the teacher, the students, and society. Kindness, niceness, caring, and benevolence are interrelated but not synonymous. We outline four progressive levels of kindness: conditional, superficial, optimal, and genuine. Blending mathematics teaching and kindness effectively requires the teacher to decenter from their own perspectives and adopt the student’s perspective as the student …

Mathaphor As A Literary Tool, 2023 Claremont Colleges

#### Mathaphor As A Literary Tool, Sarah Voss

*Journal of Humanistic Mathematics*

Drawing from one of my recent sermons, I chart the path of mathaphor (metaphor drawn from mathematics) as a literary tool. Following a short history of the concept, I detail contemporary author Colum McCann’s significant use of a geometric term to unveil and encourage compassion.

Figure-Ground Perception: A Poem Proof, 2023 University of Missouri - Kansas City

#### Figure-Ground Perception: A Poem Proof, Richard Delaware

*Journal of Humanistic Mathematics*

This is a proof, in poetic form, of a bit of real analysis, more specifically involving the topology of accumulation points, that exploits the human optical phenomenon of figure-ground perception. Sometimes it is not a change in content, but a snap shift in point of view that yields a proof.

The Mathematics Of The Harp: Modeling The Classical Instrument And Designing Futuristic Ones, 2023 Montclair State University, Montclair, New Jersey

#### The Mathematics Of The Harp: Modeling The Classical Instrument And Designing Futuristic Ones, Cristina Carr, Daniel Chioffi, Maya Glenn, Stefan O. Nita, Vlad N. Nita, Bogdan G. Nita

*Journal of Humanistic Mathematics*

We analyze and model the neck of the classical harp based on the length of the strings, their tension and density. We then use the results to design new and innovative harp shapes by adjusting the parameters of the model.

Using Bloom's Taxonomy For Math Outreach Within And Outside The Classroom, 2023 Benedictine University

#### Using Bloom's Taxonomy For Math Outreach Within And Outside The Classroom, Manmohan Kaur

*Journal of Humanistic Mathematics*

Not everyone is a great artist, but we don’t often hear, “I dislike art.” Most people are able to appreciate visual arts, music and sports, without necessarily excelling in it themselves. On the other hand, the phrase “I dislike math” is widely prevalent. This is especially ironic in our current society, where mathematics affects our day-to-day activities in essential ways such as e-commerce and e-mail. This paper describes the opportunity to popularize mathematics by focusing on its fun and creative aspects, and illustrates this opportunity through a brief discussion of interdisciplinary topics that expose the beauty, elegance and value of …

Lessons From Human Experience: Teaching A Humanities Course Made Me A Better Math Teacher, 2023 Eckerd College

#### Lessons From Human Experience: Teaching A Humanities Course Made Me A Better Math Teacher, Erin Griesenauer

*Journal of Humanistic Mathematics*

As a professor at a Liberal Arts college, I recently taught a General Education course called Human Experience. Far from my normal experiences in the mathematics classroom, in Human Experience I was tasked with teaching topics from the humanities, including art, philosophy, history, and political science. Teaching this course was challenging, but it was also transformative. Teaching a course so far from my background gave me the opportunity to experiment with different pedagogical techniques and to reflect on how I set up my math classes. I learned many lessons that I have brought back to my math classes—lessons that have …

The Nothing That Really Matters, 2023 J. Selye University, Komárno, Slovakia

#### The Nothing That Really Matters, Szilárd Svitek

*Journal of Humanistic Mathematics*

Zero has (a) special role(s) in mathematics. In the current century, we take negative numbers and zero for granted, but we should also be aware that their acceptance and their emergence in mathematics, and their ubiquity today, have not come to happen as rapidly as, for example, that of natural numbers. Students can quickly become confused by the question: is zero a natural number? The answer is simple: a matter of definition. The history of zero and that of negative numbers are closely linked. It was in the calculations of debts that the negative numbers first appeared, where the state …

The Use And Development Of Mathematics Within Creative Literature, 2023 University of St Andrews

#### The Use And Development Of Mathematics Within Creative Literature, Toby S C Peres

*Journal of Humanistic Mathematics*

This paper presents a study on the extent to which creative literature been used as a vessel to carry forward the development of mathematical thought. The role of mathematics as a driving force for literature is highlighted, and while many examples exist that clearly show an attempt to disperse mathematical ideas, with Lewis Carroll, OuLiPo and ancient poetry considered, the argument that the sole purpose of the writings was for the sake of mathematical development is not clear-cut.

The Genesis Of A Theorem, 2023 Villanova University

#### The Genesis Of A Theorem, Osvaldo Marrero

*Journal of Humanistic Mathematics*

We present the story of a theorem's conception and birth. The tale begins with the circumstances in which the idea sprouted; then is the question's origin; next comes the preliminary investigation, which led to the conjecture and the proof; finally, we state the theorem. Our discussion is accessible to anyone who knows mathematical induction. Therefore, this material can be used for instruction in a variety of courses. In particular, this story may be used in undergraduate courses as an example of how mathematicians do research. As a bonus, the proof by induction is not of the simplest kind, because it …

Where Do Babies Come From?, 2023 Federal University of Bahia

#### Where Do Babies Come From?, Marcio Luis Ferreira Nascimento

*Journal of Humanistic Mathematics*

According to European folklore, popularized by a fairy tale, storks are responsible for bringing babies to new parents. This probably came from observation in certain European countries, such as Norway, Netherlands or Germany, that storks nesting on the roofs of households were believed to bring good luck, as the possibility of new births. People love stories, but correlation simply means that there is a relationship between two factors that tells nothing about the direction of said relationship, if any. Another possibility is simple coincidence. Let us say that it’s possible that one factor causes another. It’s also possible that the …

Teaching Mathematics After Covid: A Conversation Not A Discussion, 2023 Brock University

#### Teaching Mathematics After Covid: A Conversation Not A Discussion, Wendy Ann Forbes, Joyce Mgombelo

*Journal of Humanistic Mathematics*

Inspired by Brent Davis' conceptualization of listening and conversation in his book *Teaching Mathematics: Toward a Sound Alternative, *we propose how we as a mathematics education community may move forward by continuing in the conversation that emerged from COVID. We encourage all involved to listen rather than assume a discussion-oriented stance. Using an enactivist lens, we look at the pandemic learning space, give an overview of the education conversation that emerged in Ontario, and offer a way to rethink Mathematics Education within the frame of a conversation. We believe that if mathematics education is to engage learners in a meaningful …

A Classification Of Musical Scales Using Binary Sequences, 2023 University of Alberta

#### A Classification Of Musical Scales Using Binary Sequences, Thomas Hillen

*Journal of Humanistic Mathematics*

Every beginning music student has gone through the four main musical scales: major, natural minor, harmonic minor, and melodic minor. And some might wonder, why those four and not five, or six, or just three? Here we show that a mathematical classification can be used to identify these scales as representatives of certain *scale families*. Moreover, the classification reveals another scale family, which is much less known: the *harmonic major scale*. We find that each scale family contains exactly seven scales, which include the modes (*dorian*, *phrygian*,...) and other scales such as the *Romanian*, …

Human-Machine Collaboration In The Teaching Of Proof, 2023 University of Toronto

#### Human-Machine Collaboration In The Teaching Of Proof, Gila Hanna, Brendan P. Larvor, Xiaoheng (Kitty) Yan

*Journal of Humanistic Mathematics*

This paper argues that interactive theorem provers (ITPs) could play an important role in fostering students’ appreciation and understanding of proof and of mathematics in general. It shows that the ITP *Lean* has three features that mitigate existing difficulties in teaching and learning mathematical proof. One is that it requires students to identify a proof strategy at the start. The second is that it gives students instant feedback while allowing them to explore with maximum autonomy. The third is that elementary formal logic finds a natural place in the activity of creating proofs. The challenge in using *Lean* is that …