FEATURES OF USING PROBLEM-BASED LEARNING IN TEACHING TRIGONOMETRIC EQUATIONS AND INEQUALITIES WITH PARAMETERS

Abstract

The primary mission of an educational institution is to foster the development of students' creative abilities. One of the teacher’s main responsibilities is to design programs that correspond to students’ levels and create conditions that facilitate close interaction with the surrounding environment.

The problem-based learning (PBL) method serves as an effective tool for significantly developing students' thinking abilities by engaging them in solving real or simulated tasks. Unlike traditional teaching methods, where the teacher simply provides information, problem-based learning enhances students’ critical thinking, creativity, and ability to find independent solutions.

Solving problems involving parameters is one of the most challenging sections of the school mathematics curriculum. In addition to applying specific algorithms to solve equations or inequalities, students must conduct proper analysis to avoid making mistakes. Equations and inequalities with parameters serve as a key topic that assesses students’ genuine understanding of the material. The application of problem-based learning to the topic “Trigonometric Equations and Inequalities with Parameters” is one of the most relevant issues in contemporary education. Due to the complexity and abstract nature of the material, it requires innovative teaching methods capable of capturing students' attention and motivation.