Discordium Mathematica - A Symphony In Aleph Minor, 2024 Aravali Asset Management

#### Discordium Mathematica - A Symphony In Aleph Minor, Vijay Fafat

*Journal of Humanistic Mathematics*

How did Mathematics arise? Who created it? Why is it subject to Godel’s Incompleteness Theorems? And what does all this have to do with Coleridge’s poem, “*Kubla Khan*”, and “*The Person from Porlock*”? Here is a complete mythology of Mathematics set in an epic poetry format, fusing thoughts and verses from Western religions and Eastern mysticism… Those with immense patience and careful reading shall reap the fruit… (best read on a large screen or in printed form)

Love Is No Mean Thing: A Larkin Logarithm, 2024 Harvard University

#### Love Is No Mean Thing: A Larkin Logarithm, Michael P.H. Stanley Md

*Journal of Humanistic Mathematics*

This poem was recited at a marriage recently in Vermont. I met the groom in my freshman year. He was the first college friend I ever made, and he used to burst into the room like Cosmo Kramer and settle down in an easy-chair to think about math (my side of the dorm was quieter than his). I thought that was remarkable and delightful, and so, when the task came to write a matrimonial poem for him, I selected a mathematical conceit. The poem concludes with a mathematical paraphrasing of Philip Larkin's last line from Arundel Tomb.

Pi: A Perpetual Journey, 2024 National Defence Academy Pune

#### Pi: A Perpetual Journey, Ravindra K. Bisht

*Journal of Humanistic Mathematics*

A brief history of the constant pi is presented with a poetic flavor.

Eighth Grade Algebra, 2024 Indiana University South Bend

#### Eighth Grade Algebra, Joseph Chaney

*Journal of Humanistic Mathematics*

This is a poem about the affirming power of algebra in the life of a teenager.

Prime Motivation Of Eratosthenes, 2024 Claremont Colleges

#### Prime Motivation Of Eratosthenes, Pamela L. King

*Journal of Humanistic Mathematics*

The sieve of Eratosthenes is used as a metaphor for the concept of people falling through the social safety net, and people who were once excluded, making efforts to increase inclusiveness.

Poems From The Series "At The Dimensional Border", 2024 N/A

#### Poems From The Series "At The Dimensional Border", Philip Fried

*Journal of Humanistic Mathematics*

Poems about the border between the second and third dimensions, on geometry and the human condition.

Mathematical Graffiti: Bridges 2023 Clerihew Collection, 2024 Claremont Colleges

#### Mathematical Graffiti: Bridges 2023 Clerihew Collection

*Journal of Humanistic Mathematics*

Clerihews are poems of a form invented by Edmund Clerihew Bentley around the turn of the 19th-20th century. The poems are typically biographical, humorous, and are made up of two couplets. The rhyming pattern is always aabb, but the meter of the two couplets is usually not the same. The first line is simply the name of the person, the other three lines relate to the subject, often in an absurd way. If the rhyme is slightly off, or the rhythm irregular or awkward, or the facts a bit confused, so much the better. The present collection of clerihews, written …

The Value Of Adding Nothing: A Call For Reform-Oriented Polynomial Division, 2024 Tennessee Wesleyan University

#### The Value Of Adding Nothing: A Call For Reform-Oriented Polynomial Division, Jonathan Clark, Jeneva Clark

*Journal of Humanistic Mathematics*

The call to implement reform practices in schools reflects the historical turn away from the behaviorist theory of learning in education. Yet the praxis of this turn remains a significant challenge, particularly within mathematics classrooms where procedural memorization is emphasized. In this article, we show one means of how to advance our pursuit of meaningful mathematics into polynomial division. Building on the literature for reform-based division methods, an alternative to the long division algorithm will be explored that relies solely on adding zero and fundamental algebraic principles.

Book Review: How To Expect The Unexpected: The Science Of Making Predictions -- And The Art Of Knowing When Not To By Kit Yates, 2024 Claremont McKenna College

#### Book Review: How To Expect The Unexpected: The Science Of Making Predictions -- And The Art Of Knowing When Not To By Kit Yates, Mark Huber

*Journal of Humanistic Mathematics*

Humans think about the future all the time. Prediction is a part of how we prepare for the coming of both good and bad events in our lives. Kit Yates' book, *How to expect the unexpected*, concentrates primarily on the question of why prediction is difficult, and what mental shortcuts people take in prediction that can lead to incorrect results. Unfortunately, a lack of concern for details and several omissions undermine the quality of the book.

Geometric Shapes That Sing And Move: An Interdisciplinary Lesson With Pre-Service Teachers, 2024 William & Mary

#### Geometric Shapes That Sing And Move: An Interdisciplinary Lesson With Pre-Service Teachers, Gladys Krause, Gustavo Velandia

*Journal of Humanistic Mathematics*

Our work shares a practical example of an interdisciplinary lesson in which two teacher educators collaborated to integrate mathematics and music in an elementary mathematics methods course. This paper describes the process of collaboration in designing the lesson and shares original instructional resources to be used in the classroom. We also discuss what the pre-service teachers participating in the lesson shared about their learning experience, and what we, the teacher educators, learned from this experience. In presenting this work we aim to promote the opening of spaces in teacher preparation programs that allow pre-service teachers to develop their own instructional …

States Of Matter, 2024 dept wildlife

#### States Of Matter, Todd Sformo

*Journal of Humanistic Mathematics*

This is a non-fiction essay overtly about three methods used in overwintering physiology, set in the context of my first learning them, along with associated thoughts and ideas as I began working on my PhD. The mathematics shows up mainly in the final section of the essay whose subtitle plays on a poem by Wallace Stevens called “Anecdote of the Jar”. This section is fable-like in its explanation of protein purification and begins with an impossible statement that is slowly adjusted to make sense by words and math.

Fibonacci-Inspired Spiral Quilts, 2024 CUNY Borough of Manhattan Community College

#### Fibonacci-Inspired Spiral Quilts, Kathleen Offenholley, Sk Collins, David Radcliffe

*Journal of Humanistic Mathematics*

This article provides insight into the mathematics and designs of quilts inspired by Fibonacci and logarithmic spirals. We introduce the history and development of the Fibonacci number sequence and how to hand-draw a Fibonacci spiral. Further, we explain the relationship between the Fibonacci spiral and logarithmic spirals, the advantages of using logarithmic spirals to create designs, and how to produce digital spiral designs using Desmos, a free web-based graphing calculator. Finally, we discuss methods for designing spiral quilts or other triangle and spiral designs (such as collage or other media) and derive a formula for calculating the apex angles of …

Badass Women, 2024 University of Missouri - Kansas City

#### Badass Women, Richard Delaware

*Journal of Humanistic Mathematics*

In this true story, one mathematics major supports another in an unexpected way.

Intuitive Explanations In Mathematical Education, 2024 Adam Mickiewicz University in Poznań

#### Intuitive Explanations In Mathematical Education, Jerzy Pogonowski

*Journal of Humanistic Mathematics*

I discuss the role of intuitive explanations in the learning, teaching, and popularization of mathematics. Several examples of such explanations are presented, related to linguistic explanations, perception, empirical models, and internal explanations inside mathematics itself. I emphasize the fact that intuitive explanations in a sense transgress mere mathematical arguments. I also discuss in brief the role of paradox resolution in mathematical education.

Bootstraps And Scaffolds: What A Cognitive-Historical Analysis Of The Complex Number System Reveals About Numerical Cognition, 2024 University of Victoria, Victoria, BC, Canada

#### Bootstraps And Scaffolds: What A Cognitive-Historical Analysis Of The Complex Number System Reveals About Numerical Cognition, Charles R. Card, Gary G. Miller

*Journal of Humanistic Mathematics*

The following investigation is a cognitive-historical analysis of the conceptual development of complex numbers. The history of this development spans nearly two millennia, from the earliest appearance of the square root of a negative quantity in the calculations of Heron of Alexandra (1st Century CE) to the full flowering of complex numbers in the first half of the 19th Century. The approach used for this analysis is Nersessian's, including her formulations of model-based reasoning and mental models. Additional aspects of the analysis feature the prominent roles played by process representations, including object-process complementarities, and by core numerical systems. Our analysis …

Building Communities Of Care For Equity, Justice, And Culturally Responsive Practice In Mathematics Education, 2024 Fairfield University

#### Building Communities Of Care For Equity, Justice, And Culturally Responsive Practice In Mathematics Education, Nicole Fletcher, B Waid

*Journal of Humanistic Mathematics*

Teaching is widely considered one of the “caring professions,” but conceptualizations of care and how care is put into practice in education are not universal. In this article, we draw from a range of perspectives on care that integrate supportive interpersonal relationships, high expectations, and culturally relevant theories of critical care, as well as Queer Theory and Disability Justice, to explore the application of these ideas in mathematics education. We identify key elements for building communities of care in mathematics education contexts: co-constructing community agreements, redefining participation, shifting traditional power structures, collaborative problem solving, and building networks of care beyond …

The Braids On Your Blanket, 2024 University of Nottingham, UK

#### The Braids On Your Blanket, Michelle Cheng, Robert Uwe Laugwitz

*Journal of Humanistic Mathematics*

In this expository essay, we introduce some elements of the study of groups by analysing the braid pattern on a knitted blanket. We determine that the blanket features pure braids with a minimal number of crossings. Moreover, we determine polynomial invariants associated to the links obtained by closing the braid patterns of the blanket.

Mathematical Models And Pedagogy Of Marxist Political Economy, 2024 Loyola University New Orleans

#### Mathematical Models And Pedagogy Of Marxist Political Economy, Christopher Perez

*Journal of Humanistic Mathematics*

How can we teach people about the economics of labor and exploitation in mathematics courses? We define a mathematical model for describing the relationships embodied by commodities and labor. We then use this model to illustrate the exploitative nature of profit and the tendency for catastrophic chain-reactions that lead to market crashes. Lastly, we discuss applications to pedagogy in mathematics courses using a simplified version of the model.

What Is An Imaginary Number? The Plane And Beyond, 2024 Imperial College, London

#### What Is An Imaginary Number? The Plane And Beyond, Andrew W. Powell

*Journal of Humanistic Mathematics*

In this article I argue that i is a quantity associated with the two-dimensional real number plane, whether as a vector, a bi-vector, a point or a transformation (rotation). This position provides a foundation for the complex numbers and accounts for complex numbers in some equations of applied mathematics and physics. I also argue that complex numbers are fundamentally geometrical and can be described by geometric algebra, and that moreover the meaning of complex numbers in physics varies with dimension and geometry of the manifold.

Language Analysis Via The Run And Flattened Statistics On Permutations, 2024 Missouri Western State University

#### Language Analysis Via The Run And Flattened Statistics On Permutations, Jennifer Elder, Pamela E. Harris, Anthony Simpson

*Journal of Humanistic Mathematics*

A permutation π in Sn can be decomposed into its runs π = τ_{1}τ_{2} . . . τ_{k}, where a run of π is a maximal contiguous subsequence whose elements are in increasing order. If the first values of each run are in increasing order, then π is said to be flattened. Motivated by the study of flattened permutations, we study the words in the Danish, German, English, Spanish, French, Italian, Dutch, and Norwegian languages. In each language considered, our work provides the following: a list of the longest flattened words, histograms for the proportion …