TEACHING GEOMETRY IN A PEDAGOGICAL UNIVERSITY BASED ON THE GENETIC APPROACH

The article considers the genetic approach to teaching mathematics and its application to teaching geometry. It involves the genetic development of important mathematical concepts, including the analysis of the subject from the historical, logical and epistemological, psychological and socio-cultural points of view, and the identification of logical genealogies of concepts and theorems. The importance of this type of approach to the method of teaching a basic course of geometry in the mathematical departments of pedagogical universities is substantiated within the framework of the Concept of Mathematical Education in the Russian Federation. The article deals with the applications of the genetic approach to teaching one of the sections of the geometry course, namely „Elements of Lobachevsky’s Geometry”, more specifically to its part, which deals with the statements equivalent to the axiom of parallelism of elementary Euclidean geometry.