剖析典型错解,强化教学重点——以一元微积分为例

Analyze Typical Misconceptions and Strengthen Teaching Focus—Taking Unary Calculus as an Example

本文结合高等数学课程中一元函数微积分的教学实践,通过总结部分典型题目的常见错误解法,深入剖析学习者在解题思路、解法方法等方面的错因,以此为例,强化教学重点,提出教学建议,进一步完善课程教学设计。This article combines the teaching practice of calculus of univariate functions in higher mathematics courses, summarizes common incorrect solutions to some typical problems, and deeply analyzes the causes of learners’ mistakes in problem-solving ideas, methods, and other aspects. Taking this as an example, it strengthens the teaching focus, proposes teaching suggestions, and further improves the teaching design of the course.