Adventures in Dynamic Geometry

The Virtual Math Teams Project developed a collaboration environment and integrated a powerful dynamic mathematics application into it, namely the open-source GeoGebra, which integrates geometry, algebra and other forms of math in a dynamic computational environment. The project made the incorporated GeoGebra multi-user, so that small groups of students can share their mathematical explorations and co-construct geometric figures online. In support of teacher and student use of this collaboration environment, it developed several versions of a set of activities to systematically introduce people to dynamic geometry, including core concepts from Euclid, standard geometry textbooks and the Common Core Standards for Geometry.This volume reproduces the successive versions of the VMT curriculum in dynamic geometry. In consecutive years, the curriculum focused more tightly on introducing teacher teams and student teams to the concept of invariant dependencies, which is central to the theory and implementation of dynamic geometry. The collection of versions shows how the curriculum evolved in response to observations of how teachers and students were responding to it.The topics for VMT with GeoGebra are available for free download in several versions. They all include GeoGebra tasks to work on collaboratively and tutorials on the use of VMT and GeoGebra software. The best version is the active GeoGebraBook version . Here, you can try out all the activities yourself. (Future version of VMT-mobile or of GeoGebra may allow you to do those same activities collaboratively with chat in persistent rooms.) Several versions of the curriculum are included here in reverse chronological order.