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Park City Mathematics Institute
Secondary School Teacher Program
Reflection on Practice Class: Day 1
Akihiko Takahashi
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Introduction by John Mahoney
The Open-Ended Approach
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download PowerPoint file
The Water-Flask Problem
Download Geometer's Sketchpad® files:
water_flask.sketch.gsp by Akihiko Takahashi
animated.sketch.gsp by Troy Jones

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© 2001 - 2018 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540
Send questions or comments to: Suzanne Alejandre and Jim King
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With program support provided by Math for America
This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. 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.
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