This session was canceled, as only one person showed up. Much of what I was planning can be found on my Web sites. See my summer workshop site, and my Transformational Geometry page. 

---------------------------------------------------------------------

The Common Core State Standards call for a complete rethinking of geometry in grades 8-11. Instead of basing everything on congruence and similarity postulates, as is traditional, the idea is to build on a foundation of geometric transformations: translation, rotation, reflection, and dilation.

I believe this has implications beyond the standard Geometry class. I have been teaching transformational geometry in a post-Algebra 2 elective for twenty years, and have a lot to share. In this three-morning workshop, I will assume familiarity with the basics of transformational geometry, and present a selection of content for possible use in grades 11-12. Here are the key ideas I hope to cover:

- Composition of transformations. Definition and properties of glide reflections. Epic proof that a figure can be transformed into any congruent figure in a single translation, rotation, reflection, or glide reflection.

- Symmetry in depth -- around a point, along a strip, in the plane. Connections to tiling, and to high-school-appropriate introductory lessons in group theory.

- Computing geometric transformations with the help of complex numbers at first, then matrices -- this is the mathematics that underlies all computer graphics.

This will work best if (most) participants bring laptops with GeoGebra already loaded. 

Please go to 

http://summer.mathedpage.org and

http://www.mathedpage.org/transformations/index.html 

for much more info, including links and resources.

Thanks!

--Henri