Research on Teaching Methods Based on Mathematical Modeling and Their Applications

Abstract

Mathematical modeling serves as a crucial bridge between mathematical theory and real-world problems, playing an increasingly important role in education. This paper aims to explore the current state, applications, and future prospects of mathematical modeling teaching methods. Firstly, the article provides an overview of the basic concepts and theoretical foundations of mathematical modeling, introducing the classifications and characteristics of traditional teaching methods and modern teaching methods, including problem-based modeling teaching methods, project-based teaching methods, and computer-assisted modeling teaching methods. Secondly, by analyzing the effectiveness, technical support, and innovations in the application of mathematical modeling teaching methods, the paper reveals the importance of teaching effectiveness, technology application, and innovation. Finally, the paper looks ahead to the challenges faced by mathematical modeling teaching, future development trends, and policy recommendations, offering references for further improving the quality of mathematical modeling education and student capabilities. The research presented in this paper is significant for promoting the innovation and optimization of mathematical modeling education.