Tutorial To Be Presented in the 11th Asian Technology Conference in Mathematics
December 12-16, 2006, Hong Kong SAR, China
A Sketchpad Survey of Non-Euclidean Geometries
KCP Technologies, Inc.
In this presentation, we'll take a quick visual, metric,
and axiomatic tour of several non-Euclidean geometries (including taxi-cab
geometry, hyperbolic geometry, and Minkowski space-time) using The
Geometer's Sketchpad. We'll discuss their pedagogic motivation and
potential treatment at an upper-secondary or early undergraduate level,
and explore a developmental trajectory leading to the astonishing, pleasing,
and accessible results in hyperbolic tessellation. While this tutorial
will not involve hands-on computers, participants will be given materials
and technology allowing them to explore and introduce many non-Euclidean
geometry microworlds that have been developed in Sketchpad.
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