Park City Mathematics Institute
High School Teacher Program
Summer 2004

Daily Schedule
2004 Roster
Getting Started
Class Notes
2004 Photos
Project Abstracts

Update Contact Info
Send Notes to Suzanne

Working Groups
Combinatorics
Data Analysis, Stat, Prob
Functions
Geometry
Japanese Lesson Study

username/password required
2004 contact list
Discussions
E-mail addresses
Morning announcements
Portrait photo album
Cell phone number list
Room number list
Working group documents:
   Activities Review Sheet

special forms
Carol's template
Weekly Report Form

Site Map

The PCMI 2004 Summer Session has three strands:

Stories that Count: The Art and Craft of Combinatorial Proofs
(2 hours per day, 5 days per week)
Combinatorics, sometimes called, "the art of counting without counting" has made some inroads into the middle and high school curriculum. This course will look at how combinatorics itself can fit into the 5-12 program, but it will also look at how combinatorics and combinatorial thinking can be used to illuminate ideas from more mainstream courses like algebra, arithmetic, and geometry. Look at any row of Pascal's triangle. What is the sum of the entries? What is the sum of the squares of the entries? Combinatorial proofs allow you to answer questions like these by "telling a story" - establishing a formula by showing that each side of the formula represents a different way to count the same thing. Starting from scratch, we'll learn in this course how to use combinatorial proofs to create and establish - in very simple ways - many beautiful results that will delight your students.
 
Reflecting on Practice: Connections to Research
(1 hour per day, 5 days per week, plus opportunities for informal sessions in late afternoon and evenings)
After considering research related to teaching and learning mathematics, participants will reflect on the implications of this research for what takes place in classrooms. The discussion will be grounded in the development of lessons, student work, and videos of classroom practice. Participants will conduct small research investigations around some topic of interest in the secondary curriculum.
 
Working Groups
(2 hours, 4 days a week)
As part of their summer activities, each participant selected for the 2004 High School Teacher Summer Program will be assigned to a small subject-specific working group, which will prepare an activity or resource for the profession (with the associated mathematics) for piloting during the following year.

_____________________________________
PCMI@MathForum Home || IAS/PCMI Home
_____________________________________

© 2001 - 2013 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

With program support provided by Math for America

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.