INTERACTIVE METHODS OF TEACHING MATHEMATICS: IMPLEMENTATION EXPERIENCE AND EFFECTIVENESS ANALYSIS

Abstract

Summary. Modern education is undergoing a continuous transformation, requiring the implementation of innovative approaches as traditional teaching methods, such as lectures and textbooks, are gradually losing their effectiveness. Interactive methods have become a key element of modern pedagogy, actively engaging students in the learning process, stimulating their curiosity, and promoting a better understanding of complex concepts. However, challenges associated with their implementation include technological limitations, insufficient teacher training, and the need to adapt traditional approaches.

This article aims to investigate the advantages of interactive teaching methods, illustrate examples of their practical application when studying specific topics in algebra and the beginnings of analysis in high school, and explore ways to prepare teachers to implement interactive learning in the classroom.

The research employed theoretical research methods, modeling methods, pedagogical observation, and pedagogical experiments. The studies were conducted at one of the lyceums in Chernivtsi.

Interactive teaching methods, such as group work, games ("Trigonometric Dominoes", "Mathematical Hockey"), role-playing games ("Walt Disney's Triangle"), "Jigsaw", and "Aquarium", have demonstrated high effectiveness in increasing student engagement, developing critical and logical thinking, as well as communication and social skills. Specifically, the "Trigonometric Dominoes" game activated the learning process and facilitated the assimilation of reduction formulas. "Mathematical Hockey" increased motivation and developed quick thinking. The "Walt Disney's Triangle" method effectively develops analytical and argumentative skills, though it requires time and considering students' preparedness. "Jigsaw" allows for learning a large amount of information in a short period. "Aquarium" develops the ability to discuss and deeply assimilate material. However, difficulties arose with the objective individual assessment of students during group work, as the entire team is evaluated.

The article analyzes the modern experience of using interactive technologies in mathematics education, including electronic resources, gamification, project-based learning, and virtual laboratories. Several interactive methods and technologies for teaching mathematics have been tested, and their effectiveness analyzed in the context of studying specific high school topics, providing practical recommendations for teachers. A variant of the "Trigonometric Dominoes" game has been developed and tested. The games "Mathematical Hockey", "Walt Disney's Triangle", "Jigsaw", and "Aquarium" have been proposed and tested, with examples of their use in mathematics lessons and assessment algorithms.

Interactive methods in mathematics education open new opportunities for effective learning. It creates a dynamic educational environment where students actively develop mathematical skills, critical and creative thinking, individualize learning, and foster independence and responsibility. These methods also reduce stress and fear associated with mathematical problems. The authors propose the systematic use of interactive techniques, the creation of various visual aids (comics, memes) to make mathematics more accessible and engaging for students, and the use of appropriate pedagogical tools and programs. Despite challenges such as resource scarcity, time constraints, and the need for highly qualified educators, the teacher's intensive self-improvement can mitigate these problems. It is crucial to continuously improve teacher training and stimulate creativity to implement these methods successfully.