METHODOLOGICAL ASPECTS OF TRAINING MATHEMATICS TEACHERS FOR TO FORM STUDENTS’ SKILLS IN SOLVING GEOMETRIC PROBLEMS

Abstract

One of the important goals of teaching mathematics at school is to develop students’ ability to solve geometric problems, as this not only allows them to apply theoretical knowledge in practice, but also helps them develop their general cognitive abilities, which are essential for their future life and career. An analysis of the results of geometry tasks on the Mathematics Profile Level Unified State Exam showed that the percentage of students who successfully solved geometric problems on the second part of the exam was extremely low. The authors attribute this to the fact that students do not have sufficient systematized knowledge about the methods and techniques for solving geometric problems, as well as the ability to apply them in practice. To achieve the research objectives, the authors identified and classified the main techniques for solving school geometry problems and identified the essential features of each technique. Based on this, they developed teaching materials for mathematics teachers that provide a description of the main features of each technique for solving problems and demonstrate specific examples of implementing these techniques in school geometry problems. During the conducted experimental work with mathematics teachers, it was established that the use of such didactic materials in the educational process will contribute to increasing the effectiveness of teaching students to solve geometric problems. The typification of methods for solving geometric problems developed by the authors will serve as a basis for mathematics teachers to build their work with students.