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

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

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

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

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