Program Your Own Geometry Toolkit

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More than 20 years ago, a graduate student of mine, named Beth, (surname escapes me, but she had triplets and is a very fine high school math teacher) used an early version of MicroWorlds to program her own version of a toolkit similar to Geometer’s Sketchpad. Over time, I ran a similar activity with kids as young as 7th grade. I’ve done my best to piece together various artifacts from my archives into a coherent starting point for this potentially expansive activity. Hopefully, you’ll be able to figure out how to use the tools provided and improve or expand upon them.

Students (middle and high school) will use MicroWorlds EX create their own tool for exploring two-dimensional geometry similar to Geometers’ Sketchpad, Cabri, or GeoGebra. [1]

As students build functionality (via programming) into a tool for creating and measuring geometric constructions, they reinforce their understanding of important geometric concepts. As the tool gets more sophisticated, students learn more geometry, which in turn leads to a desire to explore more complex geometric issues. This is an ecological approach to programming. The tool gets better as you learn more and you learn more as the tool becomes more sophisticated.

Along the way, students become better programmers while using variables, list processing, and recursion in their Logo procedures. They will also engage in user interface design.

Resources:


[1] I would not show commercial models of the software to students until after they have programmed some new functionality into their own tools.

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