COMPUTER AIDED TEACHING OF THE SCHOOL GEOMETRY COURSE IN THE STUDY OF GEOMETRIC TRANSFORMATIONS

Abstract

Geometric plane transformations play a fundamental role in geometric architecture. They serve as the basis of the method of geometric transformations, a method of solving mathematical problems and studying geometric objects. The school mathematics program traditionally teaches motions and similarity transformations. Among the motions, the most attention is paid to a point and a line symmetry, and parallel transformation. Computer-based mathematics teaching systems significantly expand the possibilities of using purely scientific mathematical facts and allow refuting false algorithms (methods) for solving problems. In the modern educational environment, innovative technologies are becoming key components of effective learning. It is especially important to consider this in the context of learning geometry, where visualization and dynamism can significantly enrich the educational process. The use of various software tools in the classroom, in particular when studying geometric transformations or the method of geometric transformations, allows you to quantitatively enrich the task material, which contributes to a better understanding of geometry. When studying the topic Geometric Constructions in a school geometry course, we consider it expedient to use various software tools, such as Desmos, Wolfram Alpha, Maple, in particular GeoGebra, to demonstrate accurate drawings and check the correctness of constructions, in particular the shape and prototype of points in the transformation of space. This paper deals with the methodology of studying geometric transformations of the plane by pupils of secondary schools and their application to solving mathematical problems. It is devoted to the means of computer support of the educational process, the expediency of using pedagogical software tools in geometry lessons. The paper considers geometric problems for construction and research, which are solved by the method of geometric transformations of the plane with the effective use of the GeoGebra software, provides a detailed analysis of this pedagogical and information tool, and gives arguments for the expediency of its use.