Computerized Technology as a Tool for Accelerating the Discovery of Geometrical Conservation Properties

We present an investigative activity that was set as part of a course of pre-service teachers of mathematics. The emphasis in the course was set on the importance of using the computerized technological tool for teaching the subject. The activity focused on investigating interesting geometrical conservation properties which are not known to the students, and even to many who study the field. An evaluation was made of the students’ ability to prove these properties using different mathematical tools and to produce generalizations by extending the tasks.