TEACHING EUCLIDEAN GEOMETRY USING A SYNTHESIS BY TWO WELL KNOWN THEORIES: VAN HIELE'S THEORY AND COGNITIVE APPRENTICESHIP
This paper is a part of a wider research about teaching and learning of school geometry to 15-16 year-old students. In particular in this article we describe a new method to teach Euclidean geometry. The first idea that helps the researchers to conceptualize the proposed new method is based on two well-known theories. The first one is the van Hiele model of geometric thought and the second one is the Cognitive Apprenticeship. We underline that a central point of the proposed new method is to help students to write proofs successfully.
proof, Euclidean geometry, van Hiele model, cognitive apprenticeship, structured form worksheet.