Планиметрия есептерін шешуде геометриялық түрлендіру әдісін қолдану арқылы оқушылардың геометриялық білімдерін жетілдіру

Abstract

The problem under study is relevant today, since when mastering geometry and stimulating intellectual and personal development, there is a need to transform students ' skills in working with a mathematical problem into its solution. Transformations were reflected in our article, being one of the most fruitful ideas of both geometry and modern science. Nevertheless, due to the presence of potential for the development of geometric transformations and the weak orientation of the basic geometry course of the school to its implementation, the consequences of too little attention to geometric transformations in the standard of the basic geometry course in the basic school are considered; The purpose of the research work is to develop a theory and methodology of the final stage of work with planimetric problems as a means of improving the quality of geometric knowledge of schoolchildren. The main method of studying the problem is the identification of the components of the final stage of working with a mathematical problem and the operations corresponding to them. As a result of the study, the structure of geometric transformations with mathematical problems was determined. It allows you to perform a certain set of operations that make up the skill of working with it at different stages of solving mathematical problems. The article presents methods and examples of solving special tasks for the formation of corresponding operations in the process of solving geometric transformation problems. It has been proven that the ability of students to perform various stages of solving a mathematical problem helps to achieve good results in the process of mastering geometry.