How does DG move students from concrete models to abstract ideas?
Moving students from the concrete to the abstract is at the heart of Discovering Geometry. We begin with students discovering all the basic vocabulary and then all the basic properties of geometry through hands-on investigations. Students work with the tools of geometry, build models, perform geometric investigations, then make and test conjectures about their experiences. As they become more and more experienced with the terms and concepts of geometry, gaining confidence, we gradually begin to ask them to explain what they did and why they think what they discovered is true. See comments on van Hiele levels and development of proof below.
