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Physical Sciences and Mathematics Commons™
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Articles 31 - 48 of 48
Full-Text Articles in Physical Sciences and Mathematics
Ichme-5: Fifth International Conference On The History Of Mathematics Education, Jenneke Krüger
Ichme-5: Fifth International Conference On The History Of Mathematics Education, Jenneke Krüger
Journal of Humanistic Mathematics
No abstract provided.
Ladies' Night, Robert Dawson
Ladies' Night, Robert Dawson
Journal of Humanistic Mathematics
"Lady" Jane is an expert at her racket. The Joint Statistical Meetings are in Vegas, and she reckons it's payday. But she's taking on the professionals.
The University Of Montana Department Of Mathematics Post-Apocalyptic Working Seminar, Kenan A. Ince
The University Of Montana Department Of Mathematics Post-Apocalyptic Working Seminar, Kenan A. Ince
Journal of Humanistic Mathematics
No abstract provided.
16, Dan Mcquillan
16, Dan Mcquillan
Journal of Humanistic Mathematics
This 15 word poem suggests that the reader count the words of the poem. Since every line has half as many words as the previous line, and since the poem urges the reader to keep counting forever, one imagines a total of 16 words.
The Geometry Of Morning, Greg Huteson
The Geometry Of Morning, Greg Huteson
Journal of Humanistic Mathematics
No abstract provided.
Book Review: Realizing Reason: A Narrative Of Truth And Knowing By Danielle Macbeth, Emily R. Grosholz
Book Review: Realizing Reason: A Narrative Of Truth And Knowing By Danielle Macbeth, Emily R. Grosholz
Journal of Humanistic Mathematics
This review examines Danielle Macbeth’s novel and compelling account of the formal languages of mathematics, from Euclid’s geometrical diagrams to the algebraic equations of Descartes and the differential equations of Newton and Leibniz, to the much more abstract language of Galois, Bolzano and Riemann. She argues that the practice of those 19th century mathematicians, reasoning deductively from abstract concepts like ‘group’ and ‘manifold’, inspired the philosophical logician Gottlob Frege, whose Begriffsschrift captures the procedures of those who reasoned in concepts. However, his way of formalizing mathematical reasoning was obscured by the success of Bertrand Russell and Alfred North Whitehead’s …
Solving Equations: A Make-Work Project For Math Teachers And Students, Egan J. Chernoff
Solving Equations: A Make-Work Project For Math Teachers And Students, Egan J. Chernoff
Journal of Humanistic Mathematics
The purpose of this article is to share a particular view that I have towards solving equations in the school mathematics classroom. Specifically, I contend that solving equations in the math classroom is a make-work project for math teachers and students. For example, math teachers take a predetermined value that makes a statement true, and then proceed to make it harder and harder and harder for their students to determine the value that makes the statement true. However, math teachers do so with the explicit purpose of teaching their students how to reveal the solution that they themselves have concealed. …
Does Society Need Imo Medalists?, Man Keung Siu
Does Society Need Imo Medalists?, Man Keung Siu
Journal of Humanistic Mathematics
With a title that sounds provocative but with no intention to embarrass the organizers and participants of the event of IMO (International Mathematical Olympiad) this article should be seen as the sharing of some thoughts on this activity, or more generally on mathematical competitions, by a teacher of mathematics who had once helped in the coaching of the first Hong Kong Team to take part in the 29th IMO held in Canberra in 1988 and in the coordination work of the 35th IMO held in Hong Kong in 1994. The author tries to look at the issue in …
Basketball, Algebra, And Probabilities, Gunhan Caglayan
Basketball, Algebra, And Probabilities, Gunhan Caglayan
Journal of Humanistic Mathematics
This article is an attempt to illustrate some humanistic aspects of mathematics in context, in particular, sports and scoring (basketball). The intriguing and dynamic illustrations demonstrate innovative and creative ways of integrating basketball snapshots into the pedagogy of a high school or college-level mathematics-in-context course. I have used this activity with several mathematics education students in a mathematics-in-context class as they worked in groups of five. I include here a presentation and a discussion of their explorations and analyses.
The Battle Against Malaria: A Teachable Moment, Randy K. Schwartz
The Battle Against Malaria: A Teachable Moment, Randy K. Schwartz
Journal of Humanistic Mathematics
Malaria has been humanity’s worst public health problem throughout recorded history. Mathematical methods are needed to understand which factors are relevant to the disease and to develop counter-measures against it. This article and the accompanying exercises provide examples of those methods for use in lower- or upper-level courses dealing with probability, statistics, or population modeling. These can be used to illustrate such concepts as correlation, causation, conditional probability, and independence. The article explains how the apparent link between sickle cell trait and resistance to malaria was first verified in Uganda using the chi-squared probability distribution. It goes on to explain …
The Hidden Symmetries Of The Multiplication Table, Zoheir Barka
The Hidden Symmetries Of The Multiplication Table, Zoheir Barka
Journal of Humanistic Mathematics
In this article we explore some of the symmetries that hide in the distribution of numbers in the multiplication table of positive integers when viewed through modulo k arithmetic as we vary k.
Some Comments On Multiple Discovery In Mathematics, Robin W. Whitty
Some Comments On Multiple Discovery In Mathematics, Robin W. Whitty
Journal of Humanistic Mathematics
Among perhaps many things common to Kuratowski's Theorem in graph theory, Reidemeister's Theorem in topology, and Cook's Theorem in theoretical computer science is this: all belong to the phenomenon of simultaneous discovery in mathematics. We are interested to know whether this phenomenon, and its close cousin repeated discovery, give rise to meaningful questions regarding causes, trends, categories, etc. With this in view we unearth many more examples, find some tenuous connections and draw some tentative conclusions.
The Graduate Student Blues, Marion D. Cohen
The Graduate Student Blues, Marion D. Cohen
Journal of Humanistic Mathematics
This is a memoir about my rather unconventional path to a mathematics Ph.D. There were difficulties, due partly to university politics, partly to my youth and immaturity, and partly to the thesis material itself – it was, in the words of some of my fellow students, “not what’s being done now”. I had written the thesis entirely on my own, without help from my Master’s thesis advisor or any other professor at my school. This is not the usual procedure of course. Nobody in my department could understand the thesis or was willing to vouch for it. There followed three …
Every Minute Of Your Life Has Been Interesting, Susan D'Agostino
Every Minute Of Your Life Has Been Interesting, Susan D'Agostino
Journal of Humanistic Mathematics
In this short paper, we prove that every minute of your life has been interesting. We also provide four exercises intended to solidify understanding of this result, including one exercise related to the torturously boring family road trip you took as a child.
From Pythagoreans And Weierstrassians To True Infinitesimal Calculus, Mikhail Katz, Luie Polev
From Pythagoreans And Weierstrassians To True Infinitesimal Calculus, Mikhail Katz, Luie Polev
Journal of Humanistic Mathematics
In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergence by comparing and contrasting various definitions, rather than presenting “the definition” to the students as a monolithic absolute. We hope that our experiences could be useful to other instructors wishing to follow this method of instruction. A poll run at the conclusion of the course indicates that students tend to favor infinitesimal definitions over epsilon-delta ones.
Badiou’S Logics: Math, Metaphor, And (Almost) Everything, Vladimir Tasic
Badiou’S Logics: Math, Metaphor, And (Almost) Everything, Vladimir Tasic
Journal of Humanistic Mathematics
Mathematics plays a central role in the philosophical system of Alain Badiou. The aim of this essay is to situate this appeal to mathematics in the broader context of his work, including its literary and political elements.
Mathematical Identities, Mark Huber, Gizem Karaali
Mathematical Identities, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
No abstract provided.