Abstract:

The formation of a mathematical style of thinking is important for the development of an intellectual personality and its successful functioning in modern society. Among the components of mathematical thinking, one of the main ones is intuitive thinking. It occupies an important place in the process of cognition of any science, and mathematics in particular. Comprehension of mathematical truths by students occurs in the form of a long thought process without reliance on a specific vision. It is derived from their subconscious processing of information received from various sources. This article reveals the possibilities of conducting search activity based on the intuitive thinking of students when working with a geometric problem. The focus is on 1) student acceptance of the task and 2) keeping the student active in the search. This requires students to use heuristic procedures in the analysis of the solution of the problem and to freely choose the direction of the search. The study was conducted at the Physics and Mathematics Lyceum of Dushanbe for several years (2019-2022). The experiment involved 17 teachers and 78 high school students. At the initial stage, the level of intuitive thinking of students in the control and experimental groups was determined. Then the experimental group was trained according to the methodology developed by the authors. At the final stage, the learning outcomes of these two groups were compared. Statistical analysis showed a significant transition to a higher level of thinking among the students of the experimental group. The proposed methodological approaches and the teaching materials developed in the course of their preparation can be used by mathematics teachers for more effective teaching of their students.

Keywords:

Teaching of mathematics, intuitive thinking, heuristic procedures, geometric problem, students.