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

Dushamova Shohista Nuraddinovna

Authors

Dushamova Shohista Nuraddinovna Department of Technological Machines and Information Systems, Asia International University

Keywords:

problem-based learning, algebraic problems, cognitive dissonance, hypothesis, conditional probability, Bertrand's paradox, didactics.

Abstract

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.

References

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