1. Building Math in the classroom - Teaching Through Problem-Solving -
Day 8
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007
by Akihiko Takahashi

2. Japanese technical terms in teaching
Kyozei kenkyu
Hatsumon
Shy-hatsumon
Kikan Shido/jyunsi
Bansho
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007
by Akihiko Takahashi

3. To teach one, you have to study ten
To teach one, you have to study ten. Once you’ve study ten, you need to focus on one.
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007
by Akihiko Takahashi

4. Thursday: Designing a poster
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

5. Short sketch of teaching through problem solving
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]
Questioning
How would you pose the problem?
What question(s) would you ask to your students to learn mathematics?
Beyond show and tell
Anticipate students’ responses to your questions that including misunderstandings to facilitate discussion.
Briefly describe how you would facilitate discussion.
Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007
by Akihiko Takahashi