Research on the Application of Problem-Driven Teaching Method in the Course of “Complex Functions”

本文基于一流课程应具备的两性一度的特点和要求，在《复变函数》课程教学中，实施了问题驱动教学法，通过构建恰当的启发性问题，引导学生理解复变函数中相关概念的生成过程、方法和定理的发现过程，提高学生的学习兴趣和理解深度，促进其数学思维能力的培养。为《复变函数》课程的教学改革提供新的思路和实践参考。Considering the characteristics and requirements that first-class courses should possess in terms of gender balance and academic rigor, the author implemented a problem-driven teaching approach in the course “Complex Functions.” By constructing appropriate heuristic questions, the author guided students to understand the generation process of related concepts and the discovery process of methods and theorems in complex functions. This approach enhanced students’ learning interest and depth of understanding, promoting the cultivation of their mathematical thinking abilities. This provides new ideas and practical references for the teaching reform of the Complex Functions course.