Methods of teaching future mathematics teachers to depict geometric shapes using digital technologies

The article examines the methodological problems that arise in the process of depicting geometric shapes, studies effective methods for solving this problem in the context of digital transformation of education in Kazakhstan. The study involved an analysis of psychological, pedagogical, scientific and methodological literature on the image of geometric shapes and the preparation of future mathematics teachers to this task. Additionally, the article reviews the works of domestic and foreign authors devoted to research in the field of digital technologies. The article presents the results of a ascertaining experiment to identify problems in the image of geometric shapes, which outlines the causes of the problems that arise. Corrective experimental work has been carried out to solve the identified problems in terms of the opportunities provided by modern digital technologies. The prepared methods have been introduced into the educational process. Brief information is provided on the identified methodological problems and work to eliminate them by teaching future mathematics teachers the methods of “depicting geometric shapes” and 3D drawing models of visual learning in modern dynamic environments such as Geogebra, and Live Geometry. The experimental research works and their results carried out on the basis of the Department of Mathematics of the M. Auezov South Kazakhstan University were presented in order to determine the effectiveness of the use of digital technologies in teaching problems of constructing projections, images, and cross-sections of spatial figures in a school geometry course and training future mathematics teachers. During the pedagogical experiment, the methods of using digital technologies prepared by the authors were used in teaching students to depict geometric shapes to the experimental group, mathematical and statistical methods proved their positive effect on the quality of knowledge of future teachers. Specific methodological recommendations have been developed for teaching future mathematics teachers to depict geometric shapes.