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Park City Mathematics Institute 2008
Course Notes
Darryl Yong and Ben Sinwell with assistance from Bowen Kerins
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These course materials are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike
4.0 International License.
Applications of Algebra and Geometry to the Craft of Teaching: How do you generate Pythagorean triples? Scalene triangles with integer side-lengths and a 60-degree angle? Cubic polynomials with integer zeros and extreme points? Triangles on the Cartesian plane whose vertices have integer coordinates and whose side lengths are integers? A mathematical analysis of how to design problems that "come out nice" leads to investigations into foundational ideas from number theory, algebraic geometry, and analytic geometry. We'll use this theme as a springboard into investigations of the structure of different algebraic systems and geometric curves. This applied mathematics - choosing and designing tasks - is mathematics applied to the work teachers do.
July 7, 2008
Download Day 1 [PDF file]
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July 8, 2008
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July 9, 2008
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July 10, 2008
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July 11, 2008
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July 14, 2008
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July 15, 2008
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July 16, 2008
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July 17, 2008
Download Day 9 [PDF file]
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July 18, 2008
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July 21, 2008
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July 22, 2008
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July 23, 2008
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July 24, 2008
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July 25, 2008
Download Day 15 [PDF file]
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