Research and Practice on the Innovation of Mathematics Modeling Course Teaching Based on the “5E Model + Dual Integration” Approach

The course “Mathematical Modeling” is one of the core courses in the Mathematics and Applied Mathematics major at universities, with a strong focus on cultivating students’ mathematical thinking and practical application abilities. However, traditional teaching methods face challenges such as a lack of systematic structure, weak practical components, and students’ insufficient ability to handle complex problems. Based on the student-centered teaching philosophy, this paper proposes an innovative teaching model, the “5E Model + Dual Integration”. By establishing a systematic 5E teaching process, combined with dual integration strategies of industry-education integration and competition-education integration, the model enhances students’ logical thinking, practical application skills, and comprehensive ability to cope with high-pressure competitions. The research results show that this model has effectively addressed pain points in teaching, improved teaching outcomes, and enhanced students’ core competencies, demonstrating significant potential for broader application and dissemination.