Papers on "Hyperbolic Geometry" and similar term paper topics

Paper #094944 :: Hyperbolic Geometry
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An examination on using M.C. Escher' "Circle Limit III" to instruct students in hyperbolic geometry.

Written in 2007; 2,279 words; 6 sources; MLA; $ 70.95

Paper Summary:

The paper examines how, though not always apparent, there are a number of significant connections between mathematics and art. The purpose of this paper is to demonstrate how the fundamental similarity between math and art can be exploited as a means to teach difficult mathematical concepts to students. To show how this could happen, a particularly complex--if intellectually intriguing--mathematical concept is explored: the concept of distance in hyperbolic geometry, specifically in a Poincare disk.

Outline:
Introduction
Context: What Is Hyperbolic Geometry?
Context: Who Is M.C. Escher?
Developing an Appropriate Class Project
Conclusions
Works Cited

From the Paper:

"Since mathematics education produces singular anxiety for many students, this confluence with art presents significant possibilities for the imaginative educator (Granger 10). It is possible that we could, as educators, use art as a physical and visual means of explaining complex mathematical concepts in other than abstract terms. Over reliance on complex equations and difficult language can and will stymie many students. By endeavoring to ground mathematical theory in artistic reality, students can leans mathematical lessons in the process of seeing how math and art aren't really all that dissimilar."

Tags: Euclidean mathematical theory artistic reality hyperbolic tessellation

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