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Articles 541 - 557 of 557
Full-Text Articles in Physical Sciences and Mathematics
Mathematics And The Hunger Games, Michael A. Lewis
Mathematics And The Hunger Games, Michael A. Lewis
Journal of Humanistic Mathematics
The Hunger Games plot features a dystopian future in which twelve outer districts are oppressed by a centralized capital. The story focuses on the heroism of a sixteen-year-old girl named Katniss and how she tries to rise above the oppression that she experiences. It also features a special lottery and other twists that are sources of mathematical interest. This essay focuses on some of the mathematical issues raised by The Hunger Games in an effort to show that this story can be used to teach students (as well as other interested parties) some important concepts from mathematics.
A Definition Of Mathematical Beauty And Its History, Viktor Blåsjö
A Definition Of Mathematical Beauty And Its History, Viktor Blåsjö
Journal of Humanistic Mathematics
I define mathematical beauty as cognisability and trace the import of this notion through several episodes from the history of mathematics.
Report Supplement: Poetry Folder -- Selections From The Poetry Reading At Joint Mathematics Meetings 2012
Journal of Humanistic Mathematics
No abstract provided.
For The Love Of Poetry And Mathematics: January 6, 2012, Charlotte Henderson
For The Love Of Poetry And Mathematics: January 6, 2012, Charlotte Henderson
Journal of Humanistic Mathematics
Together we combine to become twice what 60 could ever be.
The same ghost looked into my eyes.
Also, the center of the circle is inside the circle.
There is no way to draw a line, other than a border line,
A language as precise as poetry to delineate universe and being,
Deceptive as one over n as n goes to infinity, summed.
The world is a complex system
not defined by any voice factored out of my voicelessness,
the hypotenuse of course is the man who came between us
doubting every figured guess,
so, inductively, all of God’s natural …
Raphael's School Of Athens: A Theorem In A Painting?, Robert Haas
Raphael's School Of Athens: A Theorem In A Painting?, Robert Haas
Journal of Humanistic Mathematics
Raphael's famous painting The School of Athens includes a geometer, presumably Euclid himself, demonstrating a construction to his fascinated students. But what theorem are they all studying? This article first introduces the painting, and describes Raphael's lifelong friendship with the eminent mathematician Paulus of Middelburg. It then presents several conjectured explanations, notably a theorem about a hexagram (Fichtner), or alternatively that the construction may be architecturally symbolic (Valtieri). The author finally offers his own "null hypothesis": that the scene does not show any actual mathematics, but simply the fascination, excitement, and joy of mathematicians at their work.
Prove It!, Kenny W. Moran
Prove It!, Kenny W. Moran
Journal of Humanistic Mathematics
A dialogue between a mathematics professor, Frank, and his daughter, Sarah, a mathematical savant with a powerful mathematical intuition. Sarah's intuition allows her to stumble into some famous theorems from number theory, but her lack of academic mathematical background makes it difficult for her to understand Frank's insistence on the value of proof and formality.
Logarithmic Spirals And Projective Geometry In M.C. Escher's "Path Of Life Iii", Heidi Burgiel, Matthew Salomone
Logarithmic Spirals And Projective Geometry In M.C. Escher's "Path Of Life Iii", Heidi Burgiel, Matthew Salomone
Journal of Humanistic Mathematics
M.C. Escher's use of dilation symmetry in Path of Life III gives rise to a pattern of logarithmic spirals and an oddly ambiguous sense of depth.
Final Exam, Robert Dawson
Final Exam, Robert Dawson
Journal of Humanistic Mathematics
When setting an examination, the instructor should always keep in mind who is going to be writing it!
I Am A Number, Sarah Glaz
A Mathematician Weighs In On The Evolution Debate, Kris H. Green
A Mathematician Weighs In On The Evolution Debate, Kris H. Green
Journal of Humanistic Mathematics
There are a variety of reasons underlying the lack of public acceptance for the theory of evolution in the United States. An overlooked cause is related to problems with the mathematics curriculum in the K-12 setting. In this essay, we examine this relationship and propose changes to the mathematics curriculum that could improve mathematical thinking while also providing a basis for understanding theories, like evolution, that are poorly understood.
On Doing Mathematics, Sue Vanhattum
On Doing Mathematics, Sue Vanhattum
Journal of Humanistic Mathematics
Who is a mathematician? What does it mean to do mathematics? I discuss my process in solving a math problem, and what it meant to me.
A Math Major, Polya, Invention, And Discovery, Susan D'Agostino
A Math Major, Polya, Invention, And Discovery, Susan D'Agostino
Journal of Humanistic Mathematics
An assistant professor of mathematics presents a nonmathematical application of George Polya’s problem-solving strategies. In doing so, she suggests that Polya’s ideas concerning invention and discovery apply to the world beyond the math classroom.
Pedagogy On The Ethnomathematics--Epistemology Nexus: A Manifesto, Ilhan M. Izmirli
Pedagogy On The Ethnomathematics--Epistemology Nexus: A Manifesto, Ilhan M. Izmirli
Journal of Humanistic Mathematics
In this paper, we will elaborate on a pronouncement that should be at the onset of any study in epistemology and ethnomathematics, namely, we will argue that learners do think mathematically and it is our responsibility as educators to recognize and appreciate their modes of mathematical reasoning.
We will conduct our study in five parts. Following a brief introduction, in the second part, we will briefly discuss some of the critical tenets of epistemology especially as it applies to mathematics. The third part will be devoted to elucidating the basic nomenclature and hypotheses associated with ethnomathematics. In the fourth part …
What Do We Mean By Mathematical Proof?, Todd Cadwalladerolsker
What Do We Mean By Mathematical Proof?, Todd Cadwalladerolsker
Journal of Humanistic Mathematics
Mathematical proof lies at the foundations of mathematics, but there are several notions of what mathematical proof is, or might be. In fact, the idea of mathematical proof continues to evolve. In this article, I review the body of literature that argues that there are at least two widely held meanings of proof, and that the standards of proof are negotiated and agreed upon by the members of mathematical communities. The formal view of proof is contrasted with the view of proofs as arguments intended to convince a reader. These views are examined in the context of the various roles …
Aesthetic Considerations In Mathematics, Nathalie Sinclair
Aesthetic Considerations In Mathematics, Nathalie Sinclair
Journal of Humanistic Mathematics
Drawing on some of the principles of humanistic mathematics first outlined by Alvin White, this paper seeks to examine the way in which value judgments are implicated in the growth of the mathematics discipline. After a short overview of some of the roles ascribed to the mathematical aesthetic historically, I turn to more contemporary positioning of the aesthetic in order to develop a framework that offers insight into the particular values, assumptions and desires that constrain what is done in mathematics, how it is done and why. My goal, at least in part, is to bring together under one umbrella …
Welcome To The Journal Of Humanistic Mathematics, Mark Huber, Gizem Karaali
Welcome To The Journal Of Humanistic Mathematics, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
No abstract provided.