1.  Introductions and goals of the course (STV 332)
2.  Introduction to Geometer's Sketchpad, Equilateral Triangle Problem, Angles of a Star Problem: Investigate, share solutionas, discuss classroom implementation. (STV 314)
3.  BREAK - snacks and scavenger hunt (STV 332)
4.  Discussion of Readings: PSSM (2000) Standard 7 (Reasoning and Proof), our proof model, Dreyfus & Hadas (1987) Six Principles, and our revision of the six principles.
5.  Annenberg Video: Properties of Parallelograms.
6.  Assign Curriculum Project. Share internet sites, and curriculum materials.
7.  Work on project.
8.  Exit cards.

HW: 
Read de Villiers, M. (1999). The role and function of proof with sketchpad. In Rethinking Proof. Berkeley, CA: Key Curriculum Press. (Course packet pp.1-10); 
Read Dreyfus, T. & Hadas, N. (1996). Geometry in Israel, part 2. International Reviews on Mathematical Education, 28 (1), pp. 1-5. (Course  packet pp. 21-25). 
Prepare presentation and written project.

1.  Manipulative Demonstration (STV 332).
2.  Purposes of Proof - Investigate and discuss problems (STV 332 & STV 314).
3.  Teaching Implications - Implications of allowing students to struggle (STV 332)
4.  BREAK - snacks.
5.  Discussion of Readings: de Villiers, M. (1999) and Dreyfus, T. & Hadas, N. (1996) role of proof, and the need  for proof.
6.  Circle problem & Handshake problem - try problems, view videos.
7.  Hand out Triangle within a triangle problem.
8.  Work on project.
9.  Exit cards.

HW:
Read Sowder, L. & Harel, G. (1998). Types of students' justifications. Mathematics Teacher, 91 (8), pp. 670-675. (Course  packet pp. 26-31). 
Read Hoyles, C. (1997). The curricular shaping of students' approaches to proof. For the Learning of Mathematics, 17 (1), pp. 7-16. (Course packet pp. 32-41).
Prepare presentation and written project.

1.  Viewing tubes problem - investigate. (STV 332 & STV 314)
2.  Viewing tubes problem - discuss solutions, view videos, discuss classroom implications. (STV 332)
3.  Hand out Geometric Paradoxes.
4.  BREAK - snacks
5.  Enhancing textbook problems
6.  Discussion of Readings: Sowder, L. & Harel, G. (1998) and Hoyles, C. (1997), more about student beliefs
7.  View videos related to student beliefs
8.  Work on project
9.  Exit cards

HW:
Read Discoll, M. (1988). The learning and teaching of Geometry. In Research within Reach: Secondary School Mathematics, A Research Guided Response to the concerns of Educators. Washington, DC: National Institute of Education, Department of Education. (Course packet pp. 42-51). 
Read Thompson, D. & Senk, S. (1993). Assessing reasoning and proof in high school. In N. Webb & A.F. Coxford. Asssessment in Mathematics Classroom (NCTM Yearbook). Reston, VA: National Council of Teachers of Mathematics. (Course packet pp. 52-57). 
Prepare presentation and written project.

1.  Center of Gravity problem - investigate. (STV 332 & STV 314)
2.  Center of Gravity problem - discuss solutions and classroom implementation. (STV 332)
3.  Proof Checking. (STV 332)
4.  BREAK - snacks
5.  More Proof Checking - Assessment, enhancing understanding, and setting priorities
6.  Work on project
7.  Exit cards

HW:
Finish preparing presentation and written project.

1.  Group presentations. (STV 332)
2.  BREAK - snacks
3.  More group presentations.
4.  Exit survey
5.  Course evaluations.

HW:
Enjoy the rest of the summer!