1. 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 4

2. Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007 by Akihiko Takahashi Directions for Reflections on Practice Posters 1)Complete and hang your poster in the third of the classroom where your table group is located, by 12 noon on Thursday, July 12 at the latest. 2)At the same time as you prepare your poster, create a Word document of the major points and email it to Cal at sig225@gmail.com with the subject “Poster from Table XX” where XX is your table number. Please make sure to send this email by 1 pm on Thursday. This is needed so that the teachers from McAllen can participate.sig225@gmail.com

3. Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007 by Akihiko Takahashi Task for each table -Wednesday and Thursday- Short sketch of teaching through problem solving a)Purpose of the problem solving (goal of the lesson) What mathematics, beside developing problem solving skills, you would teach by using this situation? 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 would you facilitate discussion

4. Presentation is prepared for The Park City Mathematics Institute, Secondary School Teachers Program, July 9-July 20, 2007 by Akihiko Takahashi 3)Between 12 noon on Thursday and 11 o’clock, am on Friday you need to look at all the posters 4)As you look at the posters, use the post-it notes provided to pose questions to the group that created the poster. a)the pink post-its are to be used to ask content area questions, b)the blue post-its are to be used to ask pedagogical questions, and c)the green post-its are to be used to ask logistical questions. d)stick your post-it notes with the questions next to the poster. 5)On Friday, you and your group will have the opportunity to reflect upon your own lesson as well as to discuss with the other table groups in your part of the room.