Abstract:
The subject of geometry has been around since the beginning of time. The first figures humans drew were lines and circles. On the other hand, dynamic geometry environments (DGE) have been used since the 1980 s to add a technological component to the age-old subject of geometry. DGE's can be used to assist with proving concepts, theorems, and testing hypotheses while allowing the operator to focus on the critical thinking and logical reasoning behind the constructions. Dynamic geometry environments have been proven to be particularly successful in assisting high school students move between van Hiele's levels of geometric reasoning. I have designed five activities that use the dynamic geometry environment Geometer's Sketchpad (GSP) to assist a class of 16 high school students to move between van Hiele's levels of geometric reasoning. I have included three samples of student work for each activity, which I subsequently analyzed to discuss students' experiences with the software and whether or not they were successful in moving between van Hiele's levels.
