Park City Mathematics Institute 2008
Course Notes
Darryl Yong and Ben Sinwell with assistance from Bowen Kerins

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.

Now available
Applications of Algebra and Geometry to the Work of Teaching
published by American Mathematical Society

July 7, 2008
Download Day 1 [PDF file]

July 8, 2008
Download Day 2 [PDF file]

July 9, 2008
Download Day 3 [PDF file]

July 10, 2008
Download Day 4 [PDF file]

July 11, 2008
Download Day 5 [PDF file]

July 14, 2008
Download Day 6 [PDF file]

July 15, 2008
Download Day 7 [PDF file]

July 16, 2008
Download Day 8 [PDF file]

July 17, 2008
Download Day 9 [PDF file]

July 18, 2008
Download Day 10 [PDF file]

July 21, 2008
Download Day 11 [PDF file]

July 22, 2008
Download Day 12 [PDF file]

July 23, 2008
Download Day 13 [PDF file]

July 24, 2008
Download Day 14 [PDF file]

July 25, 2008
Download Day 15 [PDF file]

NOTE: As you select any of the links listed above, they will download as PDF files. To open PDF files use Adobe Acrobat Reader, available free from Adobe:

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IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540.
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With major funding from Math for America

With generous support from Robert and Lynn Johnston