## Investigating Geometry Summary## Monday - Friday, July 7 - 11, 2008
- 3D volume and surface area
- Transformational geometry
- Tessellations
- Scale factors
- The box volume problem
- Relationship between perimeter and area
- Using Sketchpad to build nets for polyhedra
- Using GSP as your axiomatic system
- Pythagoras Unplugged (CMP)
- Points of concurrence
- Compare/contrast different geometry software (Cabri, GSP, Cinderella, Geogebra, etc.)
The middle school partnership in the geometry working group is working on developing graphical representations of the Pythagorean Theorem in Geometer's Sketchpad. Two of the members are working on several proofs of the theorem. Two of the members of the group are working on developing pages in Sketchpad that is the preperatory work leading up to the proofs. Some of these ideas are coming from the Looking for Pythagoras unit in CMP. The other group is working on a constructivist approach to Geometry using GSP (and maybe other software). The group began working on a template for overarching questions in a geometry class. A few of the resources that were looked at include: A Euclidean Geometry course using GSP: http://www.calvin.edu/~venema/eeg/eeg.html An article addressing the "big picture" discussion we've been having: http://investigations.terc.edu/library/bookpapers/geometryand_proof.cfm The use of GSP in a Geometry classroom: http://academic.sun.ac.za/mathed/MALATI/Files/future.pdf. PCMI@MathForum Home || IAS/PCMI Home
With program support provided by Math for America This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. |