史宁中教授说得好:数学的表达是符号的,但教学应当是物理的:数学的证明是形式的,但教学应当是直观的;数学的体系是公理的,但教学应当是归纳的.出发点,都是站在学生的立场,用学生的视角看数学,尊重学生的认知和学习心理.但在教学实践中发现,物理背景虽然为数学概念和结论提供了重要支持与帮助,譬如微积分基本定理(牛顿一莱布尼茨公式)的发现与论证,就是一个经典,但也存在一些负迁移 Professor Shi Ningzhong said well: the expression of mathematics is symbolic, but teaching should be physical: the proof of mathematics is formal, but teaching should be intuitive; the system of mathematics is just, but teaching should be concluded. Starting point, all stand in the student’s standpoint, regard mathematics from the perspective of students, and respect students’ cognition and learning psychology.But in the teaching practice, we find that although the physical background provides important support and help for mathematical concepts and conclusions, The discovery and demonstration of the basic theorem of integral (Newton-Leibniz formula) is a classic, but there are also some negative transitions