Method of accumulating basic models in solving mathematical problems

Abstract

This paper presents the teaching method "Accumulating Basic Mathematical Models" (MHCB), a strategy to support students in solving problems based on cognitive science principles. The paper utilizes theoretical research methods (analysis, synthesis, systematization) and illustrative case studies to clarify the effectiveness of the method of accumulating basic mathematical models in mathematics teaching. The method simplifies complex thinking processes, facilitating quick and efficient learning, and fosters structured mathematical thinking, aligning with the competency-based development orientation of the 2018 General Education Curriculum. This opens up new avenues for reforming mathematics teaching methods, particularly in secondary education.