Here's another article on Geometer's Sketchpad.
http://www.dynamicgeometry.com/general_resources/user_groups/nctm_2006/pages/dynamic_algebra.php
This article is the byproduct of a presentation on GS done at a 2006 NCTM Conference. It has several different concepts and activities that can be taught with GS. This is great because I am not very familiar with the program (yet) and was curious about what else could be done other than that lesson on slopes. I love it because it even gets into precalculus material (unit circles, etc!). Often it is difficult to model the more complex situations that we have at that level mathematics, so this is a good starting place for me.
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Having just completed the readings for the Human-Computer Interface, I am curious if you can try this software (or something similar) and how it tests out? One quote from Tognazzini immediately sticks out "...effective applications and services perform a maximum of work, while requiring a minimum of information from users." I would think that algebraic functions and calculations, along with their graphic representations, might be an exception!
One other related principle also sticks out, that concerning "efficiency of the user." Again, a certain amount of prior knowledge is required to ensure this, I would think. However, the visual nature of this software certainly should provide the opportunity for enhanced understanding. I hope you can tell us more about this as I find myself more of a visual than a conceptual or theoretical learner, particularly where math is concerned (pardon the redundancy!).
I am extremely visual as well, so I've always loved that aspect of geometry. This program is so neat because you can make immediate changes to your graphs instead of having to rework and replot a bunch of information. Glad you liked it:)
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