Iterations Of Emptying, 2021 Claremont Colleges

#### Iterations Of Emptying, Marian Christie

*Journal of Humanistic Mathematics*

Successive iterations of the Sierpinski carpet fractal are used to explore how we---our history, experiences, thoughts and memories---occupy spaces that we once inhabited.

Turing's Machine, 2021 Shrewsbury U3A, UK

#### Turing's Machine, Mike Curtis

*Journal of Humanistic Mathematics*

The musings of a Turing Machine.

One Straight Line Addresses Another Traveling In The Same Direction On An Infinite Plane, 2021 McGill University

#### One Straight Line Addresses Another Traveling In The Same Direction On An Infinite Plane, Daniel W. Galef

*Journal of Humanistic Mathematics*

No abstract provided.

Proof Theory, 2021 None

Early Morning Mathematics Classes, 2021 University of Minnesota-Twin Cities

#### Early Morning Mathematics Classes, Angelina Schenck

*Journal of Humanistic Mathematics*

No abstract provided.

Permission To Add: Math-Teaching Limericks, 2021 Drexel University

#### Permission To Add: Math-Teaching Limericks, Marion D. Cohen

*Journal of Humanistic Mathematics*

Throughout my years and decades of being a teacher, I have written limericks about every course I’ve taught, and sometimes courses I haven’t taught but reviewed textbooks in. Here I share several of these limericks.

Peter Hilton En Passant, 2021 University of Missouri- Kansas City

#### Peter Hilton En Passant, Richard Delaware

*Journal of Humanistic Mathematics*

This is a decades-long tale of my glancing friendship with distinguished mathematician and mathematics educator Peter Hilton and his constant collaborator Jean Pedersen. Peter’s wit, compassion, and support are in full display, though in truth I knew him only “in passing.”

The Number, 2021 University of St. Thomas

#### The Number, Arati Nanda Pati

*Journal of Humanistic Mathematics*

This is a story from the heart on COVID-19, penned around April 4, 2020, in the early days of the pandemic.

“You Will Remain Unwavering In Your Determination To Succeed No Matter How Long It Takes”: A Mathematico-Emotional Analysis Of A Guide To Higher Learning, 2021 Florida State University

#### “You Will Remain Unwavering In Your Determination To Succeed No Matter How Long It Takes”: A Mathematico-Emotional Analysis Of A Guide To Higher Learning, Kathleen M. Clark, Oksana M. Rubis

*Journal of Humanistic Mathematics*

In this article we present an analysis of the multi-fold artist’s book, *A Guide to Higher Learning* (Chen, 2009). In our analysis, we propose different perspectives from which to view the mathematical and philosophical aspects found within the book. We explore aspects of “higher learning” by analyzing the complex mathematical equations and textual elements that readers meet in the book. Chen challenges the reader with: “This is a test. You will not be given any assistance or instructions on how to proceed. You will not be told when to begin or when to stop” (Chen, 2009). Thus, in our ...

Aligning Political Options And Aggregated Personal Opinions On The Issues, 2021 St. John Fisher College

#### Aligning Political Options And Aggregated Personal Opinions On The Issues, Kris H. Green

*Journal of Humanistic Mathematics*

Much work has been done in studying how to aggregate voter opinions to decide a fair election. These models presuppose that each voter has a solid understanding of their choices and can express that opinion in the election process. We discuss why this is not always the case. Further, we explore some of the issues that arise when considering the multidimensional nature of both voter preference, with respect to the slate of issues in an election, and the platforms of the various candidates, with respect to the same slate of issues. In light of the complications we encounter and with ...

How I First Heard About Calculus, 2021 Purdue University (emeritus)

#### How I First Heard About Calculus, Bradley J. Lucier

*Journal of Humanistic Mathematics*

An attempt to motivate a class of engineering students leads to insights both personal and pedagogical.

Computational Thinking In Mathematics And Computer Science: What Programming Does To Your Head, 2021 Education Development Center

#### Computational Thinking In Mathematics And Computer Science: What Programming Does To Your Head, Al Cuoco, E. Paul Goldenberg

*Journal of Humanistic Mathematics*

How you think about a phenomenon certainly influences how you create a program to model it. The main point of this essay is that the influence goes both ways: creating programs influences how you think. The programs we are talking about are not just the ones we write for a computer. Programs can be implemented on a computer or with physical devices or in your mind. The implementation can bring your ideas to life. Often, though, the implementation and the ideas develop in tandem, each acting as a mirror on the other. We describe an example of how programming and ...

Teaching From The Unknown, 2021 Harvey Mudd College

#### Teaching From The Unknown, Jon Jacobsen

*Journal of Humanistic Mathematics*

The goal of teaching is to transform our students' understanding, much as the goal of acting is to transform the audience's reality. In this article we use the context of mathematics to explore connections between teaching and acting and how such connections can help our students learn not only mathematics, but about the nature of mathematics.

Using Mathematical Equations To Communicate And Think About Karma, 2021 University of Texas at El Paso

#### Using Mathematical Equations To Communicate And Think About Karma, Kien H. Lim, Christopher Yakes

*Journal of Humanistic Mathematics*

Two equations are presented in this article to communicate a particular understanding of karma. The first equation relates future experiences to past and present actions. Although the equation uses variables and mathematical symbols such as the integral sign and summation symbol, it reads more like a literal translation of an English sentence. Based on the key idea in the first equation, a second equation is then created to highlight the viability of using math to communicate concepts that are not readily quantifiable. Analyzing such equations can stimulate thinking, enhance understanding of spiritual concepts, raise issues, and uncover tensions between our ...

Real-World Modelling To Increase Mathematical Creativity, 2021 Johannes Kepler University, Linz

#### Real-World Modelling To Increase Mathematical Creativity, Robert Weinhandl, Zsolt Lavicza

*Journal of Humanistic Mathematics*

Modelling could be characterised as one of the core activities in mathematics education. However, when learning and teaching mathematics, mathematical modelling is mostly used to apply and deepen mathematical knowledge and competencies. Our educational study aims to explore how mathematical modelling, using real objects and high-quality mathematical technologies, could be utilised to acquire mathematical knowledge and competencies, and how learners could creatively use their existing knowledge. To discover the potential of mathematical modelling using real objects and high-quality mathematical technologies to acquire mathematical knowledge and competencies, and to stimulate learners' creativity, first, we combined cognitive and creative spirals and mathematical ...

A Heart-Centered Stance: Receptivity To Algebra Teachers’ And Students’ Multidimensional Experiences, 2021 Syracuse University

#### A Heart-Centered Stance: Receptivity To Algebra Teachers’ And Students’ Multidimensional Experiences, Nicole L. Fonger

*Journal of Humanistic Mathematics*

The algebra classroom in urban public high schools in the United States is a complex space, ripe with many challenges and opportunities. In this paper I introduce the notion of a heart-centered stance for the teacher and the educator, and a method of engaging in creative expression for reflection and introspection toward individual change in the rich context of the high school algebra classroom. My evolving relationships with two high school algebra teachers, observations of their classrooms, as well as my own self-study and professional growth, are incorporated into this paper as I introduce and exemplify two tenets of a ...

A Holistic Mathematics Curriculum Revision: An Adelphi University Case Study, 2021 Adelphi University

#### A Holistic Mathematics Curriculum Revision: An Adelphi University Case Study, Salvatore J. Petrilli

*Journal of Humanistic Mathematics*

Join me as I take you on a journey with the faculty of the Department of Mathematics and Computer Science at Adelphi University during our two-year re-envisioning and implementation of our mathematics curriculum. From the beginning this involved a data-driven initiative that naturally led to the revisions. Here I describe in detail the process that our department followed. In closing I end with some recommendations for interesting research directions in the field of mathematics education.

The Prime Number Theorem As A Capstone In A Complex Analysis Course, 2021 Pomona College

#### The Prime Number Theorem As A Capstone In A Complex Analysis Course, Stephan Ramon Garcia

*Journal of Humanistic Mathematics*

We present a detailed proof of the prime number theorem suitable for a typical undergraduate- or graduate-level complex analysis course. Our presentation is particularly useful for any instructor who seeks to use the prime number theorem for a series of capstone lectures, a scaffold for a series of guided exercises, or as a framework for an inquiry-based course. We require almost no knowledge of number theory, for our aim is to make a complete proof of the prime number theorem widely accessible to complex analysis instructors and their students. In particular, we highlight the potential pitfalls and subtleties that may ...

Mathematical Representations In Magazine Advertisements: Have The Messages Changed In A Decade?, 2021 Monash University

#### Mathematical Representations In Magazine Advertisements: Have The Messages Changed In A Decade?, Jennifer Hall

*Journal of Humanistic Mathematics*

Although people's ideas about mathematics and mathematicians often develop from their school and home experiences, such ideas also are influenced by interactions with popular media. In this article, I report on findings from a study in which I analyzed magazine advertisements for representations of mathematics and mathematicians. Data collection took place in two phases, approximately a decade apart. In each phase, I reviewed a year’s worth of issues in each of six diverse, popular magazines for mathematical representations in advertisements. The frequency of mathematical advertisements decreased from Phase 1 to Phase 2, but the initial frequency was already ...

Peer Motivation: Getting Through Math Together, 2021 Menlo College

#### Peer Motivation: Getting Through Math Together, Jessica Mean, Wes Maciejewski

*Journal of Humanistic Mathematics*

Students have a complex relationship with mathematics. Some love it, but more often than not, the feelings are less favorable. These feelings can lead to decreased motivation which makes it difficult for students to engage with the subject as the semester progresses. Instructors also have difficulty addressing this waning motivation. In this paper, we claim peers are better able to connect with the students and this can be leveraged to better motivate students. We present an approach to having peers motivate their students. These peer interactions integrated with a mandatory mathematics course might improve students’ motivation.