Park City Mathematics Institute
Secondary School Teacher Program

Reflection on Practice Class: Day 8
Akihiko Takahashi

Groups continued to work on our task: Change a typical textbook problem into an interesting problem with multiple solution methods. Each group had to prepare a poster. The meaning of our poster is to create some open ended problems for our students.

Each poster should include:

  1. Determine if the problem is appropriate
    1. Is the problem rich in mathematical content and valuable mathematically?
    2. Is the mathematical level of the problem appropriate for the students?
    3. Does the problem include some mathematical features that lead to further mathematical development?
  2. Anticipate students' responses to design a lesson.
  3. Make the purpose of using the problem clear.
  4. Make the problem as attractive as possible.

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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.