A NEW METHODOLOGY BASED ON COMBINATORICS FOR DEVELOPING ALGORITHMIC THINKING

Abstract

This article presents a new methodology based on a combinatorial approach aimed at developing algorithmic thinking in students. The methodology enhances students’ logical reasoning, ability to make choices, understand branching and recursive processes, and apply them by revealing the algorithmic structure of combinatorial problems, modeling them step-by-step, and converting them into algorithmic schemes. The methodology includes algorithmic models of classical concepts such as permutations, variations, and combinations, the structural stages of solving these problems, as well as a system of exercises that activate cognitive activity. This approach plays a crucial role in developing students’ systematic thinking, skills in breaking down problems into parts, and creating effective solution algorithms. Additionally, the practical application, capabilities, encountered challenges, and ways to overcome them are also analyzed.