Thiết kế bài toán thực tiễn nhằm bồi dưỡng năng lực mô hình hoá toán học cho học sinh trung học phổ thông dựa trên biến dạy học trong lí thuyết tình huống

Tóm tắt

Mathematics plays an important role in various fields. Therefore, the 2018 General Education Curriculum for Mathematics emphasizes its applications and connections to real-life contexts through the goal of developing students' mathematical modeling competence. Although numerous studies have studied this competence, there remains a gap in how teachers can design real-world problems to foster students' mathematical modeling competency. Therefore, this study proposes a process for designing real-world problems based on the application of the concept of didactical variables within the framework of the Theory of Didactical Situations. Additionally, the study presents an illustrative example of designing an optimization problem for the expression F=ax+by over a polygonal region in Math Grade 10. This example aims to create practical problems that enhance specific manifestations of mathematical modeling competence. Future research should focus on applying this process to other mathematical topics and evaluating the practical effectiveness of the designed problems.