Research on Innovative Teaching Models for Advanced Mathematics Integrating STEM Education Concepts and Mathematical Modeling Ideas

This paper addresses the issues of abstract content and dry teaching methods in higher mathematics that are disconnected from practical application by proposing an innovative teaching model that integrates STEM education concepts with mathematical modeling ideas. This model redesigns the teaching content and process through interdisciplinary integration and innovative practice, emphasizing the enhancement of student agency and practical abilities. Implementation strategies include developing case-driven teaching modules, adopting project-based learning, and introducing computer-assisted tools. The systematically constructed teaching model can effectively improve students' enthusiasm for learning, autonomy, and their ability to apply and innovate in mathematics. This model provides a new direction for scientific and systematic reform in higher mathematics education.