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Full-Text Articles in Mathematics

To Fall In Love With Math, Do This, Susan D'Agostino Jan 2018

To Fall In Love With Math, Do This, Susan D'Agostino

Journal of Humanistic Mathematics

In the viral New York Times essay, “To Fall in Love with Anyone, Do This,” Mandy Len Catron details an experience she and an acquaintance had as they shared responses to psychologist Arthur Aron’s thirty-six questions intended to make participants fall in love. She notes that, “we all have a narrative of ourselves that we offer up to strangers and acquaintances, but Dr. Aron’s questions make it impossible to rely on that narrative.” In this paper, we claim that we also have narratives of our relationship to mathematics that we offer up to ourselves and others. Following, we offer a …


The Humanistic Mathematics Network Journal: A Bibliographic Report, Nurullah E. Goren, Tiffany Zhu Jan 2018

The Humanistic Mathematics Network Journal: A Bibliographic Report, Nurullah E. Goren, Tiffany Zhu

Journal of Humanistic Mathematics

The content of the Humanistic Mathematics Network Newsletter was reviewed by Claire Skrivanos and Qingcheng Zhang in [1]. This report reviews the content of the Humanistic Mathematics Network Journal (1992-2004).


A Survey Of The Math Blogosphere, Katherine Thompson Jan 2018

A Survey Of The Math Blogosphere, Katherine Thompson

Journal of Humanistic Mathematics

This article provides an overview of different types of mathematical blogs currently available. There are over twenty blogs highlighted, ranging from the technical to the recreational, from those sponsored by national mathematical organizations to those run by individuals--including students.


Rolling Dice On A Date, Francesca Raphael, Jennifer Switkes Jan 2018

Rolling Dice On A Date, Francesca Raphael, Jennifer Switkes

Journal of Humanistic Mathematics

When a young mathematician faces the prospect of a date, all kinds of mathematics ensue. Here we explore her innovative way to keep the conversation going through rolling dice to decide which conversation starter to utilize. In the course of our exploration, we solve an interesting generating function problem.


What Makes A Theory Of Infinitesimals Useful? A View By Klein And Fraenkel, Vladimir Kanovei, Karin Katz, Mikhail Katz, Thomas Mormann Jan 2018

What Makes A Theory Of Infinitesimals Useful? A View By Klein And Fraenkel, Vladimir Kanovei, Karin Katz, Mikhail Katz, Thomas Mormann

Journal of Humanistic Mathematics

Felix Klein and Abraham Fraenkel each formulated a criterion for a theory of infinitesimals to be successful, in terms of the feasibility of implementation of the Mean Value Theorem. We explore the evolution of the idea over the past century, and the role of Abraham Robinson's framework therein.


Mathematical Arguments In Favor Of Risk In Andy Weir's The Martian, Sarah C. Cobb, Jeff B. Hood Jan 2018

Mathematical Arguments In Favor Of Risk In Andy Weir's The Martian, Sarah C. Cobb, Jeff B. Hood

Journal of Humanistic Mathematics

In Andy Weir’s novel The Martian, the characters encounter high-stakes, life-or-death situations, in which they must make choices based on their assessment of risk and likely outcomes. They have different reactions to risky situations, based on their approaches to assessing risk and their perspectives on the stakes involved. In this paper, we examine the ways that characters in The Martian intuitively assess risk and compare them to mathematical analysis of the situations in the book.


Predicting The Next Us President By Simulating The Electoral College, Boyan Kostadinov Jan 2018

Predicting The Next Us President By Simulating The Electoral College, Boyan Kostadinov

Journal of Humanistic Mathematics

We develop a simulation model for predicting the outcome of the US Presidential election based on simulating the distribution of the Electoral College. The simulation model has two parts: (a) estimating the probabilities for a given candidate to win each state and DC, based on state polls, and (b) estimating the probability that a given candidate will win at least 270 electoral votes, and thus win the White House. All simulations are coded using the high-level, open-source programming language R. One of the goals of this paper is to promote computational thinking in any STEM field by illustrating how probabilistic …


Mathematics, Writing, And Rhetoric: Deep Thinking In First-Year Learning Communities, Christine Von Renesse, Jennifer Digrazia Jan 2018

Mathematics, Writing, And Rhetoric: Deep Thinking In First-Year Learning Communities, Christine Von Renesse, Jennifer Digrazia

Journal of Humanistic Mathematics

Through the process of combining two seemingly unlikely bedfellows, mathematics and composition, two instructors explain how rhetoric connects the art of writing and the art of doing mathematics in an inquiry-based learning community. Combining these two courses in a learning community enables students and instructors to practice the deep thinking valued by each instructor and by a traditional liberal arts education while challenging both our and our students’ individual, disciplinary, and rhetorical conventions and beliefs. Using student writing from our course, our assignments from mathematics and composition, and survey evaluation results, we demonstrate how engaging in inquiry-based education provides unconventional …


Ways Of Relating To The Mathematics Of The Past, Michael N. Fried Jan 2018

Ways Of Relating To The Mathematics Of The Past, Michael N. Fried

Journal of Humanistic Mathematics

Historians of mathematics, by definition, look at mathematics of the past. But mathematicians, too, often look at mathematics of the past; mathematicians of the past themselves often looked very closely at mathematics of their own past. Is their relationship to the past the same as that of the historians? Is every view of the past an historical view? Indeed, is every historical view historical in the same way? Or is it possible that there are different kinds of relationships to the mathematics of the past? This paper will suggest that there are in fact a variety of such relationships. It …


Communicating Mathematics Across Time, Mark Huber, Gizem Karaali Jan 2018

Communicating Mathematics Across Time, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.


Front Matter Jan 2018

Front Matter

Journal of Humanistic Mathematics

No abstract provided.


Voices: Conference On Teaching Stem With Music, September 27-28, 2017, Gregory J. Crowther Jul 2017

Voices: Conference On Teaching Stem With Music, September 27-28, 2017, Gregory J. Crowther

Journal of Humanistic Mathematics

This first-of-its-kind, online-only conference will explore the use of music to teach STEM (science, technology, engineering, and mathematics) at the college level (including AP courses). Presentations will be live-streamed from the conference website, https://www.causeweb.org/voices. Online registrations (for only $10 apiece!) will be accepted at the conference website until the conclusion of the conference on September 28, 2017.


Special Issue Call For Papers: Mathematics And Motherhood, Pamela E. Harris, Becky Hall, Carrie Diaz Eaton, Emille Davie Lawrence Jul 2017

Special Issue Call For Papers: Mathematics And Motherhood, Pamela E. Harris, Becky Hall, Carrie Diaz Eaton, Emille Davie Lawrence

Journal of Humanistic Mathematics

The Journal of Humanistic Mathematics is pleased to announce a call for papers for a special issue on Mathematics and Motherhood. Please send your abstract submissions via email to the guest editors by October 1, 2017. Initial submission of complete manuscripts is due January 1, 2018. The issue is currently scheduled to appear in July 2018.


Math In Seventeen Syllables: An Open Call For Mathematical Haiku, Mark Huber, Gizem Karaali Jul 2017

Math In Seventeen Syllables: An Open Call For Mathematical Haiku, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

The Journal of Humanistic Mathematics invites submissions of mathematical haiku for an upcoming poetry folder tentatively titled Math in Seventeen Syllables. Please send your submissions via email to the editors by November 1, 2017. Publication decisions will be made by December 15, 2017.


One = Zero, Eric John Gofen Jul 2017

One = Zero, Eric John Gofen

Journal of Humanistic Mathematics

In this paper, I use Mathematics in addition to the three most pure sciences --- Physics, Chemistry, and Rap --- to prove that 1=0. The argument uses The Ideal Gas Law, Ohm's Law, the Definitions of Power and Velocity in addition to indefinite integrals, simple mathematical operations, and the 99 Problems Law. The intuition-crushing result can be applied to all branches of mathematics and sciences and will likely go down as one of the greatest discoveries of all time.


Descartes Comes Out Of The Closet, Nora E. Culik Jul 2017

Descartes Comes Out Of The Closet, Nora E. Culik

Journal of Humanistic Mathematics

While “Descartes Comes Out of the Closet” is ostensibly about a young woman’s journey to Paris, the descriptive detail borrows language and images from Cartesian coordinate geometry, dualistic philosophy, neuroanatomy (the pineal), and projections of three dimensions onto planes. This mathematical universe is counterpointed in the natural language of the suppressed love story that locates the real in the human. Thus, at the heart of the story is the tension between competing notions of mathematics, i.e., as either an independent realm apart from history or as a culturally produced and historical set of practices. Of course, the central character proves …


Disciple, Jessica K. Sklar Jul 2017

Disciple, Jessica K. Sklar

Journal of Humanistic Mathematics

This is a love poem for mathematics.


Nostalgia For Quieter Times, Pedro Poitevin Jul 2017

Nostalgia For Quieter Times, Pedro Poitevin

Journal of Humanistic Mathematics

No abstract provided.


A Calculus, Sandra Lindow Jul 2017

A Calculus, Sandra Lindow

Journal of Humanistic Mathematics

A poem that compares calculus to life.


A Math Poem, Sara R. Katz Jul 2017

A Math Poem, Sara R. Katz

Journal of Humanistic Mathematics

No abstract provided.


Book Review: Bridges 2013 Poetry Anthology And Bridges 2016 Poetry Anthology, Robin Chapman Jul 2017

Book Review: Bridges 2013 Poetry Anthology And Bridges 2016 Poetry Anthology, Robin Chapman

Journal of Humanistic Mathematics

Two collections of mathematical poetry edited by poet and mathematician Sarah Glaz are enthusiastically recommended to readers for the quality of the poetry, the diverse voices speaking in many modes—praise, elegy, philosophical musings, story-telling, humor, playfulness—and the variety of ways in which mathematical references are incorporated or illustrated. The work comes from participants in the Bridges conferences connecting mathematics, the arts, and the sciences over the last seven years.


A Mathematician’S Journey From Mentee To Mentor: Reflections On The Edge Program, Sarah Bryant, Alejandra Alvarado Jul 2017

A Mathematician’S Journey From Mentee To Mentor: Reflections On The Edge Program, Sarah Bryant, Alejandra Alvarado

Journal of Humanistic Mathematics

The programs supporting diversity in mathematics are as important as ever. So why are they losing funding? And what hope do they have of thriving in the current political climate? In this collaborative interview, two past participants of EDGE (Enhancing Diversity in Graduate Education) explore these questions; Sarah probes and narrates as Alejandra thinks out loud about the ways that the program has shaped her life and how she hopes to see the program continue.


Uncovering Gems Of Mathematics, Asuman G. Aksoy, Ellis Cumberbatch Jul 2017

Uncovering Gems Of Mathematics, Asuman G. Aksoy, Ellis Cumberbatch

Journal of Humanistic Mathematics

Gateway to Exploring Mathematical Sciences (GEMS) is an outreach program offered by the six mathematics departments of the Claremont Colleges for eighth, ninth, and tenth graders. In this paper, we describe our program (in terms of format, participants, mathematical activities and topics involved) and share why we are so enthusiastic about it.


I Love You Fifty, Nat Banting Jul 2017

I Love You Fifty, Nat Banting

Journal of Humanistic Mathematics

This article chronicles the merging of my roles of teacher and learner of mathematics with that of a relatively new pursuit: parenthood. Amidst my attempts to dutifully provide opportunities for my son to interact with various mathematical ideas and artifacts, it was an unanticipated moment of epiphany that allowed me to enter into his emerging world of mathematical significance and rediscover what first drew me to the teaching and learning of mathematics. My son’s innocent, yet potent, understanding of number provides an image of the power of mathematics to organize experience, structure significance, and communicate meaning.


Discrete And Continuous: A Fundamental Dichotomy In Mathematics, James Franklin Jul 2017

Discrete And Continuous: A Fundamental Dichotomy In Mathematics, James Franklin

Journal of Humanistic Mathematics

The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. This article explains the distinction and why it has proved to be one of the great organizing themes of mathematics.


Shakespeare, A Supernova, And A Little Green Man Walk Into A Mathematics Classroom, Sheila Kirstin Miller Jul 2017

Shakespeare, A Supernova, And A Little Green Man Walk Into A Mathematics Classroom, Sheila Kirstin Miller

Journal of Humanistic Mathematics

Creativity amidst constraints is a hallmark of the STEM researcher. It is precisely what is required to see what has never been seen. It is also at the core of creative mathematics, more commonly called “research”. We in the 21st century tell ourselves that science and story are separate enterprises. One goal of this article is to tell parts of the human story—featuring Shakespeare, Tycho Brahe, visiting stars, Little Green Men, and modern astrophysics—that might erode belief in that duality and illustrate why dissolving the artificial barriers between talents within individuals is to the benefit of ourselves, our students, …


One + One > Two: The Effects Of Pair Quizzes On Student Attitudes And Perceptions, Harrison W. Straley, Lauren Dupee Jul 2017

One + One > Two: The Effects Of Pair Quizzes On Student Attitudes And Perceptions, Harrison W. Straley, Lauren Dupee

Journal of Humanistic Mathematics

Pair Quizzes are cooperative pop quizzes, taken by a pair of students working together for the same grade. The first author, Chuck, had used pair quizzes in many of his courses through his tenure teaching and was interested in determining their perceived effect on student learning and attitude toward mathematics.To this end, we designed a questionnaire and distributed it to all students currently taking and who had taken two different mathematics courses within a span of four years. Responses from those who chose to complete the survey seem to indicate that the pair quizzes had a positive effect on students’ …


A Generalised Song, Will Turner Jul 2017

A Generalised Song, Will Turner

Journal of Humanistic Mathematics

We consider parallels between words and music. We call a triple of structures, one verbal, one musical, and one mathematical, in which the mathematical structure is related to the verbal and musical structures, a generalised song. With the intention of exhibiting the potential of this form, we describe a generalised song called ‘Cube’.


They Say She Was Good -- For A Woman: Poetry And Musings, Joanne Growney Jul 2017

They Say She Was Good -- For A Woman: Poetry And Musings, Joanne Growney

Journal of Humanistic Mathematics

These pages contain ideas and verses that consider the roles of women in mathematics. Details of the life of Amalie “Emmy” Noether inspired a poem and the poem, in turn, led to the poet’s growth and awareness of her self and her voice.


A Mathematician Reads Plutarch: Plato's Criticism Of Geometers Of His Time, John B. Little Jul 2017

A Mathematician Reads Plutarch: Plato's Criticism Of Geometers Of His Time, John B. Little

Journal of Humanistic Mathematics

This essay describes the author's recent encounter with two well-known passages in Plutarch that touch on a crucial episode in the history of the Greek mathematics of the fourth century BCE involving various approaches to the problem of the duplication of the cube. One theme will be the way key sources for understanding the history of our subject sometimes come from texts that have much wider cultural contexts and resonances. Sensitivity to the history, to the mathematics, and to the language is necessary to tease out the meaning of such texts. However, in the past, historians of mathematics often interpreted …