Geometric explorations with dynamic geometry applications based on van Hiele levels

Abstract

The purpose of this paper is to present classroom-tested geometry activities based on the van Hiele geometric thinking levels using dynamic geometry applications. The other ideas behind the activities include teacher questioning, active student participation, and studentcentered decision-making. During the lessons student teachers engaged in self-exploration and reinvention of geometric relations. It was evident from the episodes that students raised their level of geometric thinking by building on their current geometric understanding.