Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Building Math in the classroom

- Teaching Through Problem-Solving -

Day 7

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Kyozai Kenkyu

• Tuesday: Kyozai Kenkyu & Goal of the lesson (Problem situation & Curriculum)

• Wednesday: Questioning, Anticipating students’ responses, and beyond show and tell

• Thursday: Designing a poster

Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007

by Akihiko Takahashi

Short sketch of teaching through problem solvinga) Purpose of the problem solving (goal of the lesson)

• what the students need to learn in the lesson [according to the standards and/or curriculum];

• what the students have learned previously;• what is the major focus of this lesson [by

comparing (a) and (b), the objective/goal of this lesson should be clearly stated]

b) Questioning• How would you pose the problem?• What question(s) would you ask to your students

to learn mathematics?c) Beyond show and tell

• Anticipate students’ responses to your questions that including misunderstandings to facilitate discussion.

• Briefly describe how you would facilitate discussion.