The number theory and algebra working group will produce 1-3 exploration-based lessons with teacher guides that will encourage students to experiment, look for patterns, and use language effectively to formulate conjectures and organize their observations. These explorations may build on problems the group encounters in the morning session on Euclid's algorithm. The aim is to test the lessons in 2001-2002, revise them at PCMI in the summer of 2002, retest them and eventually publish them.

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