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Abstract
This thesis analyzes the pedagogical potential of a technology for using combinatorial tasks to develop the methodological competence of future mathematics teachers. In modern mathematics education, teachers are required not only to possess a deep understanding of mathematical knowledge but also to have the skills to effectively organize the learning process, explain mathematical concepts, create problem-based situations, and develop students’ logical thinking.
The thesis highlights the role of combinatorial tasks in improving the methodological training of future mathematics teachers. Combinatorial problems provide opportunities to encourage students to search for different solution methods, analyze mathematical situations, draw logical conclusions, and apply effective methodological approaches in the educational process. The study also examines the key aspects of a technology involving the gradual implementation of a system of combinatorial tasks, their selection according to educational objectives, and their application in pedagogical practice.
The use of combinatorial tasks contributes to the development of future mathematics teachers’ competencies in methodological design, guiding students toward solving non-standard problems, developing mathematical thinking, and improving lesson effectiveness. As a result, the professional and methodological training of future teachers is enhanced, expanding their opportunities to conduct pedagogical activities in accordance with the requirements of modern mathematics education.
References
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