Park City Mathematics Institute Secondary School Teachers Program Problem Sets from the Developing Mathematics Course

2007: Developing Mathematics: Probability Through Algebra

Focused on learning mathematics by working problems together, this course explores the fundamental mathematics on a topic that has its roots in secondary level, and is related to the mathematical theme of the Institute.

 

2006: Some Applications of Geometric Thinking

Teachers in this course will look at some basic geometric habits of mind like studying continuous change and looking for things that don't change, and they'll apply these habits to a wide variety of situations.

 

2005: Doing It with Differences

Focused on learning mathematics by working problems together, this course explores the fundamental mathematics on a topic that has its roots in the secondary level, and is related to the mathematical theme of the Institute.

 

2004: Stories that Count

This course looks at how combinatorics itself can fit into the 5-12 program, but it also looks at how combinatorics and combinatorial thinking can be used to illuminate ideas from more mainstream courses like algebra, arithmetic, and geometry.

 

2003: Sums and Differences

This course looks at the calculus of finite differences as a unifying theme for these questions and others that connect to the middle and high school curriculum.

 

2002: Gaussian Integers

Focused exclusively on learning mathematics by working problems together, this course explores the fundamental mathematics on a topic that is rooted at the secondary level but related to the mathematical theme of the Institute.

 

2001: The Euclidean Algorithm

Focused exclusively on learning mathematics by working problems together, this course explores the fundamental algorithm on which much of arithmetic and algebra is based.

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© 2001 - 2008 Park City Mathematics Institute IAS/Park City Mathematics Institute is an outreach program of the School of Mathematics at the Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540 Send questions or comments to: Suzanne Alejandre and Jim King

This material is based upon work supported by the National Science Foundation under Grant No. 0314808.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.