基于目标问题导向式教学的《高等数学》课程教学实践——以定积分的定义为例

Teaching Practice of Advanced Mathematics Course Based on Goal-Problem-Oriented Teaching—Taking the Definition of Definite Integral as an Example

摘要: 文章以定积分的定义教学为例，详细阐述目标问题导向式教学模式在高等数学课程中的具体应用。通过五类目标问题的系统设计与教学实施，将抽象的极限思想转化为层层递进的可探究问题，引导学生从感性认识走向理性认识，再从理性认识回归实践应用。教学实践显示，该教学模式降低了概念理解的难度，有效提高了学生的课堂参与度，提升了学生学习高等数学的信心。

Abstract: Taking the teaching of the definition of the definite integral as an example, this paper elaborates on the specific application of the goal-problem-oriented teaching model in the Advanced Mathematics course. Through the systematic design and teaching implementation of five categories of goal questions, the abstract idea of limits is transformed into hierarchical, inquiry-oriented questions, guiding students from perceptual knowledge to rational knowledge, and then back to practical application. Practice shows that this teaching model makes the concept easier to understand, effectively improves students’ classroom participation, and enhances students’ confidence in learning Advanced Mathematics.