Monday, July 17, 2000
8:30­9:30 Introductions and Participant Introductory Survey,
followed by discussion of goals and activities of the course.

9:30­10:15 Discussion of Standard 7: Reasoning and Proof and what it means for us
as geometry teachers.

10:15­10:30 BREAK

10:30-11:30 Field-of-Vision Problem: Time to work on problem, followed by
discussion of problem, proofs, and "what do you need to be convinced?"

11:30-12:00 Assign pairs for project, and discuss assignments.

Homework: read Sowder & Harel* (1998), Dreyfus & Hadas* (1987).

Tuesday, July 18, 2000
8:30-9:00 Discussion of assigned readings (how do they pertain to me and my
classroom?). Discussion of "Six Principles of Proof Understanding."

9:00-10:15 Examine questionnaire data. What misconceptions do you see in the data?
Relation to what you see in the classroom.

10:15-10:30 BREAK

10:30-11:15 Equilateral Triangle Problem (and extensions): Work on problem,
followed by discussion of solutions, proofs, addressing misconceptions.

11:15-11:30 Introduction to Geometer's Sketchpad (computer lab ­ STV 314)

11:30-12:00 Assign readings and assignment for next class. Time to work with partner.

Homework: read Senk* (1985), Knuth & Elliott* (1998), Hoyles (1997); write analyis of article of choice.

Wednesday, July 19, 2000
8:30-9:00 Discussion of assigned readings (how do they pertain to me and my
classroom?).

9:00-10:15 Use rubric to examine proof construction assessment data. What have you
learned? How would your students do?

10:15-10:30 BREAK

10:30-11:00 Overlapping Squares Problem (on Geometer's Sketchpad): Work on
problem, followed by discussion of solutions and proofs. What would you
expect from students?

11:00-11:30 Begin Triangle-within-a-Triangle Problem: Work on problem. If time,
some sharing of initial findings and conjectures. Any proofs?

11:30-12:00 Assign readings and assignment for next class. Time to work with partner.

Homework: read Dreyfus & Hadas* (1996), Driscoll (1982), Simon & Blume (1996); write analysis of article of choice.

Thursday, July 20, 2000
8:30-9:00 Discussion of readings (how do they pertain to me and my efforts to
prepare students for writing proofs?)

9:00-10:00 Discussion of proof checking and other strategies for improving students'
understanding of proofs.

10:00-10:15 BREAK

10:15-11:15 Continue working on Triangle-within-a-Triangle Problem: Test
conjectures and explore justifications. Discussion of problem solutions
and justifications. What would you expect from your students?

11:15-12:00 Time to work with partner and prepare for presentation of project.

Homework: Write up project and prepare presentation.

Friday, July 21, 2000
8:30-10:15 Presentation of projects (about 20 to 30 minutes per pair).

10:15-10:30 BREAK

10:30-11:00 Wrap-up, reflections, review of proof ideas. Discussion: Goal setting.

11:00-11:30 Fill out Exit Survey and Course Evaluation. Say good-bye.