Work in progress: Extending the application of ontologies in the teaching of geometry: The right triangle in the circle
Dimitra Tzoumpa, Theodoros Karvounidis, Christos Douligeris · 2017
In this paper, we extend previous work on the use of ontologies as a tool in teaching geometry. As ontologies gather the information in a well-organized form, where relations between geometrical objects are exposed and explained, we took advantage of the properties of the circle's central and inscribed angles, we connected them to the notion of the right angled triangle and created the liaison between the two ontologies of the circle and the right angled triangle. The students undertook activities that allowed them to observe, cooperate, speculate, verify and connect geometrical meanings with mathematical concepts. This process allowed the students to realize that mathematics is a subject worthy of exploration and not just the memorization of properties of a geometrical object.