GEOMETRY OF LOBACHEVSKY IN PROBLEMS

Abstract

The article talks about such a branch of geometry as Lobachevsky’s geometry on the plane and about his teaching in pedagogical universities. Due to the difficulties of assimilation of theoretical knowledge, the article proposed to integrate the process of presenting theoretical material and practical solution of problems for proof during lectures. The article contains the main theorems of Lobachevsky geometry on the plane, as well as examples of solving proof problems to consolidate the understanding of the studied theorems. The difficulty of studying this material is primarily due to the versatility and a large number of imaginary objects. The methodical approach to teaching Lobachevsky geometry on the plane presented in the article was implemented in the educational process in the classroom on the course “Selected questions of geometry” [1] at the Orenburg State Pedagogical University in the preparation of future undergraduates in the direction of “Mathematical education” and allowed to achieve high results in learning.