Phát triển năng lực tư duy và lập luận Toán học cho học sinh trong dạy học chủ đề “Đại số tổ hợp” ở trung học phổ thông

Tóm tắt

One of the goals of the 2018 General Education Program in Mathematics is to form and develop mathematical competence, including the following core component competencies: mathematical thinking and reasoning, modeling, and mathematical reasoning, mathematical problem solving, mathematical communicating, and using mathematical learning tools and means. Thus, the capacity to think and reason mathematically is considered one of the core competencies that need to be formed and developed for students in teaching Mathematics in high schools. This study clarifies the manifestations of mathematical thinking and reasoning competency in teaching the topic “Algebraic combinatorics”, and proposes some specific teaching measures to develop mathematical thinking and reasoning competencies for high school students. Each measure is accompanied with illustrative and analytical examples that clarify the components of mathematical reasoning and thinking competencies to support teachers in application.