GeoGebra y el modelo de Van Hiele para el desarrollo de teoremas geométricos

Abstract

This research is about the teaching of Euclidean and non-Euclidean geometry. Our proposed teaching-learning structure is based on the use of the GeoGebra dynamic software and the Van Hiele reasoning model. The results achieved through our didactic experimentation, with higher education students, show that, at the end of its application, more than 50% of students developed skills to demonstrate theorems in a rudimentary way, and that more than 30% managed to demonstrate them in a justified way. The algorithmic methodology developed in this process is flexible and offers the possibility of creating new dynamic resources for the demonstrations of other theorems, for example, in the field of elliptical, projective and fractal geometry.