Axiomatic method as a scientific basis of modern geometry courses.

The article reveals the essence and substantiates the expediency of using the axiomatic method of constructing geometry, both Euclidean and non-Euclidean, in institutions of higher education. The expediency of using the axiomatic method as a logical basis for constructing a geometry course is analyzed. Different approaches to building the axiomatics of Euclidean geometry are analyzed. Different systems of substantiation of Euclidean geometry are described. The problems of constructing a geometric theory based on the axiomatic method are studied. The specifics of the application of the axiomatic method in the study of Euclidean geometry in institutions of higher and secondary education are described. The main methodical aspects of these processes and the improved scientific principles of teaching geometry in institutions of higher and secondary education are revealed.