高等数学教学中数学建模的必要性与实践路径探索

The Necessity and Practical Path Exploration of Mathematical Modeling in Higher Mathematics Teaching

摘要: 高等数学的重要性不言而喻，但其教学过程中存在的知识难理解、内容难应用、学生兴趣难提升三大问题，长期困扰着一线教师。本文分析了数学建模的特点与优势，阐述其融入高等数学教学的意义与实施条件，结合具体案例论证建模融入教学对深化知识理解的作用，明确其应用的必要性。这不仅能体现高等数学与数学建模的学科魅力，更能培养学生的问题解决能力，最终助力高等数学教学质量的提升。

Abstract: The importance of higher mathematics is self-evident, but the three major problems in its teaching process—difficulty in understanding knowledge, difficulty in applying content, and difficulty in enhancing student interest—have long troubled front-line teachers. This article analyzes the characteristics and advantages of mathematical modeling, elaborates on its significance and implementation conditions for integrating it into higher mathematics teaching, and demonstrates, through specific cases, the role of integrating modeling into teaching in deepening knowledge understanding, clarifying its necessity. This not only reflects the disciplinary charm of higher mathematics and mathematical modeling, but also cultivates students’ problem-solving abilities, ultimately contributing to the improvement of the quality of higher mathematics teaching.