E-Learning Course for Euclidean Geometry

The study of geometry, with its formal and constructive nature, is, and will always be, very important for a mathematical practitioner. In this paper we describe an e-learning course for Euclidean geometry with a particular focus on the constructive nature of geometry: from basic objects: points and lines, and basic constructions that can be done with a ruler and a compass, to very complex constructions with well defined properties. For this purpose we have integrated in the e-learning course a Web page that gives the student the ability to explore the constructions already built-in and to do new ones through the use of a dynamic geometry software. The e-learning course was implemented as a SCORM activity allowing, in this way, the use of various LMSs as actual e-learning platforms. We have used the Moodle, Claroline, and Dokeos LMSs as testbeds.