Research on the reform of university mathematics course teaching based on CDIO concept
基于CDIO理念大学数学课程教学改革的研究

摘要

本文以CDIO工程教育理念为指导，针对传统大学数学课程教学中存在的理论与实践脱节、学生应用能力培养不足等问题，探索数学课程教学改革路径。研究聚焦课程体系重构与教学模式创新，通过整合“构思-设计-实现-运作”全过程培养框架，构建理论教学、案例实践与项目驱动的多维教学模式。实践表明，基于CDIO理念的课程设计能有效增强数学知识的工程应用导向，通过融入工程案例、实践项目与团队协作，显著提升学生数学建模能力与创新思维。研究提出包括教学内容模块化重组、实践环节梯度化设计、多元化评价体系构建等具体改革措施，验证了CDIO模式在激发学习主动性、促进学科交叉融合方面的优势，为培养具有工程思维的高素质人才提供理论依据与实践参考。

Abstract

Guided by the CDIO engineering education concept, this paper explores the path of mathematics course teaching reform in view of the problems of disconnection between theory and practice and insufficient cultivation of students' application ability in traditional university mathematics course teaching. The study focuses on the reconstruction of the curriculum system and the innovation of teaching mode. By integrating the whole process training framework of "concept-design-implementation-operation", a multi-dimensional teaching mode driven by theoretical teaching, case practice and project is constructed. Practice shows that the course design based on the CDIO concept can effectively enhance the engineering application orientation of mathematical knowledge, and significantly improve students' mathematical modeling ability and innovative thinking by integrating engineering cases, practical projects and team collaboration. The study proposes specific reform measures including modular reorganization of teaching content, gradient design of practical links, and construction of a diversified evaluation system, which verifies the advantages of the CDIO model in stimulating learning initiative and promoting interdisciplinary integration, and provides a theoretical basis and practical reference for cultivating high-quality talents with engineering thinking.