Transcript The Open-Ended Approach

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
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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.
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
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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
a)
Purpose of the problem solving (goal of the lesson)
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what the students need to learn in the lesson
[according to the standards and/or curriculum];
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what the students have learned previously;
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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
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How would you pose the problem?
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What question(s) would you ask to your students to
learn mathematics?
c) Beyond show and tell
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Anticipate students’ responses to your questions that
including misunderstandings to facilitate discussion.
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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