基于新工科的高等数学课程的教学改革与实践

Teaching Reform and Practice of Advanced Mathematics Courses in the New Engineering Field

摘要: 基于高等数学课程内容体系复杂、理论抽象性强的特点，结合新工科专业学生数学基础参差不齐的实际情况，当前高等数学教学面临以下突出问题：课程内容体量庞大且难度较高，学生知识迁移能力不足，理论与实践脱节现象显著，考核评价机制单一等。为此，高校数学教师应着力推进教学改革：优化课程内容体系，夯实理论基础，构建系统化的知识框架；创新教学方法，融入科研案例，增强教学实效性；引入工程实践情境，提升知识应用能力；完善考核机制，注重培养学生创新思维和实践能力。

Abstract: Given the complex content and highly abstract theoretical nature of advanced mathematics courses, and the varying mathematical foundations of students in new engineering majors, current advanced mathematics teaching faces the following prominent challenges: the sheer volume and difficulty of the course content, insufficient student knowledge transfer, a significant disconnect between theory and practice, and a single assessment and evaluation mechanism. Therefore, university mathematics teachers should focus on promoting teaching reforms: optimizing the course content, strengthening the theoretical foundation, and constructing a systematic knowledge framework; innovating teaching methods, incorporating research cases, and enhancing teaching effectiveness; introducing engineering practice scenarios to enhance knowledge application capabilities; and improving assessment mechanisms, focusing on cultivating students’ innovative thinking and practical skills.