ELEMENTS OF LOBACHEVSKY GEOMETRY IN THE SCHOOL GEOMETRY COURSE

Abstract

The article tells about such a section of geometry as Lobachevsky geometry on a plane and about getting to know it in high school. Due to the difficulties of mastering theoretical knowledge, it is proposed in the article to unite the process of presenting theoretical material and research activities of students. The article substantiates the necessity of conducting elective courses in secondary school, analyzes all the positive aspects of this process. As an example, an elective course on Lobachevsky geometry on a plane has been developed, and a rating system for evaluating the work of students on it is also given. The difficulty of studying this material is primarily due to the versatility and a large number of imaginary objects. The methodological approach presented in the article to the study of Lobachevsky geometry on the plane is implemented in the educational process of the MOAU “Physics and Mathematics Lyceum of Orenburg” and allows to achieve high results in training.