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Re: Connected Geometry
Posted:
Feb 26, 1993 2:36 PM
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>
>
> ++++++
> Hi,
>
> I've been asked for more information about the Connected Geometry
> project at EDC by several people, so this is a brief description.
>
> Paul Goldenberg, June Mark, and Al Cuoco are directing a new
> geometry curriculum development project at EDC. This is an overview
> of what we'll try to do over the next four years. We'd appreciate
> your comments and advice.
>
> The project is called ``Connected Geometry,'' and it has three purposes:
>
> 1. To develop high school curriculum materials that get at the centrality
> of geometry and visualization in almost every field by showing how there
> are two-headed arrows between geometry and other parts of mathematics,
> science, art ... .
>
Finally an opening to plug orienteering in the geometry forum!
We use orienteering in our homeschool curriculum as an immediate, somatic
experience in the sort of geometry only modeled by Logo's Turtle Geometry.
What is orienteering? Finding your way to checkpoints in the woods using
topographical maps design especially for that sport (with lots of special
symbols and subtle topographical information), and using compass as needed.
For our young kids there's work with scaling, rotation, step counting,
planning, problem solving, the concept of isomorphism and mapping itself.
See below for older students. Where can you find out more?
U.S. Orienteering Federation
P.O. Box 1444
Forest Park, GA 30051
or on internet try the O mail list
orienteering@graphics.cornell.edu
> Some examples of possible activities:
>
> 1. Given a polygon (a triangle, say) find a point that minimizes the sum
How's this: Given a rocky or thorny section of terrain that will require a
convoluted traversal path, determine the fractal dimension of a typical
traversal path and determine the most effective means of annotating this
information onto the map for a running (and therefore oxygen-depleted)
orienteer.
When you solve this, by the way, please send me the solution.
>
>
> So, what do you think? If you'd like, I can send a couple papers
> that describe the project in more detail and that elaborate on these ideas.
> And, please circulate this note to anyone you know who might be interested
> in our work.
>
>
>
Please do. Thank you.
Dale Parson, dale@mhcnet.att.com
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