"There is no one way"

Thursday, February 9, 2017

Geometry Boot Camp!

I will offer two workshops this summer (2017), at the Head-Royce School in Oakland, CA.
Sign up for either or both!
June 26-27: Hands-On Geometry (grades 6-10)
June 28-30: Transformational Geometry (grades 8-11)
If the times or locations don't work for you, I can offer a workshop for your school or district. Contact me directly.
 
I recommend attending with a colleague, as it makes it easier
to implement these ideas when you get back to school in the fall.
 
Support materials are on the workshop participants' Web site.

Hands-On Geometry

with Henri Picciotto Monday-Tuesday, June 26-27
9:00 a.m. to 3:30 p.m.
at the Head-Royce School in Oakland, CA

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In this two-day workshop for teachers in grades 6-10, I will present kinesthetic and manipulative activities. This hands-on curriculum is intended to complement related work in paper-pencil environments: it serves to preview, review or extend key concepts in geometry. The activities can be used to enrich and enliven the high school geometry course, or to lay the groundwork for it.
  • Topics include angles, triangles, quadrilaterals, area, the Pythagorean theorem, congruence, similarity, "soccer angles", and tiling.
  • Tools include manipulatives (such as pattern blocks and geoboards) and puzzles (such as tangrams and pentominoes.)
  • Technology will be used to illustrate concepts.
These lessons were developed in somewhat heterogeneous classes, and reach a wide range of students. They provide support for the less visual by complementing the drawing and studying of figures, and enrichment for the more talented by offering deep and challenging problems.

This workshop does not overlap with Transformational Geometry.


Transformational Geometry

with Henri Picciotto Wednesday-Friday, June 28-30
9:00 a.m. to 3:30 p.m.
at the Head-Royce School in Oakland, CA

pattern-block-sym

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.

In order to teach this effectively, it is important to have a solid understanding of the underlying math, as well as ideas for rich activities for students. I have been teaching transformational geometry for twenty years, and have a lot to share. This three-day workshop will cover:
  • The implications for the teaching of proof.
  • Composition of transformations -- the four isometries and their fundamental properties.
  • Symmetry in depth -- around a point, along a strip, in the plane. Connections to art and design.
  • Computing geometric transformations with the help of complex numbers at first, then matrices -- this is the mathematics that underlies all computer graphics.
  • Transforming graphs: all parabolas are similar
  • Intelligent use of technology to support all this, including a highly motivating unit on geometric construction.
This workshop does not overlap with Hands-On Geometry

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The Details

Check this site in late February for Continuing Education Units info.
More info about me: Henri Picciotto
Registration and logistics: Head-Royce School 
Questions? Send me e-mail
Scholarships: an anonymous donor will pay 80% of the tuition for the first seven public school teachers to register.
If the times or locations don't work for you, I can offer a workshop for your school or district.  
Contact me directly.

--Henri

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