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Park City Mathematics Institute
Secondary School Teacher Program
Reflection on Practice Class: Day 3
Akihiko Takahashi
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Aki introduced us to our task for the rest of the week. Each group was to create an open ended problem using a 7 X 7 geoboard. We discussed ideas for the problem on Day 3 and on Day 4 each group came to an agreement on the problem that they would present. We spent Day 4 designing the poster presentation. The criteria that we were asked to keep in mind were:
- Determine if the problem is appropriate
- Is the problem rich in mathematical content and valuable mathematically?
- Is the mathematical level of the problem appropriate or the students?
- Does the problem include some mathematical features that lead to further mathematical development?
- Anticipating students' responses to design a lesson.
- Making the purpose of using the problem clear.
- Make the problem as attractive as possible.
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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
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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