Geometrical Concepts from Constructions, Models, and Investigations Summary
Friday, July 11, 2003
We began our session by discussing the form of our final projects. Suzanne explained the appropriate ways for us to submit our work so that it can be posted onto this year's web pages. She emphasized the need to make our files usable, both in size and format. She also reviewed the purpose of the project abstracts, not only for our presentations during the last day of PCMI, but also on the website. It was decided to postpone the geometry working group photo til Monday.
The remainder of the time was devoted to work on the final projects. Nancy is developing a guide for comparing and contrasting basic concepts from Euclidean geometry when they move onto other surfaces. James and Judy are working on a unit of transformational geometry, appropriate to be used in either a traditional high school geoemtry class or an integrated course. Jerry, Gary, Jo-Ann and Melissa are creating discovery lessons using Geometer's Sketchpad as a tool to explore triangle properties including points of concurrency. The problems are story based and could be used as stand alone problems of the week, or as part of an integrated curriculum. Cal is exploring alternate metrics, including taxi-cab, Tim Horton (aka hedgehog), and skunk, as means for solving a problem of the shortest path from school to home. Peg is working with David Wright's materials to develop a hands-on unit exploring the hyperbolic plane. Charlie is looking at how standard Euclidean constructions transfer to a hyerbolic surface.
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This material is based upon work supported by the National Science Foundation under Grant No. 0314808.