The purpose of this paper is to report on classroom-tested geometry activities based on the van Hiele geometric thinking levels in a study which investigated fourth-year students� understanding in definition making of polygons, polyhedra, prisms, pyramids and cylinders. Research was carried out at a South African university. These concepts were taught to preservice teachers (n=85) wishing to specialise in the teaching of mathematics in the GET school curriculum (primary school). Activity sheets based on an examples and non-examples approach was designed to foster collaborative learning. A collaborative approach to learning involved a group of students who participated in the project. This paper, specifically, reports on the investigation of preservice teachers� written and verbal responses based on a learning theory within the context of the van Hiele levels and makes a contribution to an understanding of how these students constructed these concepts in a collaborative way.

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