More time can be spent solving rich problems then doing rote computations. The deductive approach to teaching geometry is being seriously challenged. It was reported by the National Assessment of Educational Progress found that proofs was the least liked and most intimidating aspect of mathematics for the student. Learning geometry can be a series of open ended explorations of relationships in geometric figures rather than just using proofs of theorems. This tool enables students to explore relationships dynamically so that they can see changes in geometric figures as they manipulate them, using this tool students can work in cooperative groups doing investigations to discover patterns.
Students look for patterns and use inductive reasoning to make conjectures.
Proof is then left to after the student understand the geometry concepts. Traditional geometry texts start with formal deduction. No wonder we loose so many of our students at this level. These Standards call for decreased emphasis on the presentation of geometry as a complete deductive system and a decreased emphasis on the two-column proof. They call for increased attention to open exploration and conjecturing.