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 exploration …
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 extremely low, …
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.
In How Many Days Will He Meet His Wife?,
2021
Govt. Boys Higher Secondary School, Anjad Distt. Barwani (M. P.) India
In How Many Days Will He Meet His Wife?, Dipak Jadhav
Journal of Humanistic Mathematics
In how many days will he meet his wife? This is a question asked at the end of each of two problems embedded in the verses of the last chapter of the Vyavahāra-gaṇita (‘Mathematics of Transaction’) of Rājāditya of 12th century. He infuses elegance in those two problems by choosing the charming idea of a husband’s meeting with his wife after their quarrel. This paper not only presents the algorithms offered by Rājāditya to solve them on their own terms as well as on modern terms and discusses the historicity of the categories of those two problems but also …
