三维融合：基于学情调研的理工科高等数学教改实践

Three-Dimensional Integration: Teaching Reform Practice of Higher Mathematics in Science and Engineering Based on Academic Research

摘要: 高等数学是理工院校学生必修的一门基础课程，为后续课程学习提供必要的数理基础。本研究通过问卷调查法，选取机械工程、电子信息科学与计算机应用三个理工科专业的在校生为研究对象，从学生基本情况、学习兴趣、学习习惯与方法、课程难度认知及教学改革方向四个维度开展学情调研。基于问卷信息的统计分析，针对高等数学教学实践中教学方式创新、学生学习兴趣激发及重难点突破等问题，提出将数学建模思想与数学文化元素有机融入课堂教学的对策建议，旨在为高等数学教学改革提供有力参考依据。

Abstract: Advanced mathematics is a required basic course for students of science and technology colleges, and it provides the necessary mathematical basis for the following courses. This study employs a questionnaire survey method, targeting undergraduate students from three engineering disciplines (Mechanical Engineering, Electronic Information Science, and Computer Applications). The research investigates learning conditions from the following four dimensions: students’ basic situation, learning interests, learning habits and methods, course difficulty cognition, and teaching reform direction. Based on the statistical analysis of the questionnaire information, through integrating mathematical modeling and cultural elements, this study addresses core issues in advanced mathematics education: teaching innovation, student engagement, and difficulty reduction, proposing corresponding countermeasures for the teaching methods of advanced mathematics.