METHODOLOGICAL FOUNDATIONS FOR DEVELOPING A SYSTEM OF ALGEBRAIC PROBLEMS BASED ON PROBLEM-BASED LEARNING

This article examines the issues of developing students' logical, analytical, and creative thinking skills through the application of problem-based learning technology in modern mathematics lessons. The methodology of designing a system of algebraic problems based on the principles of consistency and systematicity is demonstrated. Furthermore, using a problem-based task related to probability theory as an example, the mechanisms of guiding students to avoid ready-made algorithms and engage in independent research are analyzed.