基于化归思想的积分计算教学探究

A Teaching Inquiry Based on the Integral Calculus of Transformation Thought

化归是人类解决未知与复杂问题的重要思维模式。化归思想是人们解决数学问题的一种重要思想和方法。积分计算的多样性及复杂性决定了高等数学积分计算的重要性与困难性。将化归思想有机地融入积分计算教学,能够化多元为一元、化复杂为简单、化未知为已知,有效突破积分计算难点。

Transformation thought is an important thought mode for solving unknown and complex problems. It is an important thought and method for people to solve mathematical problems. The multiplicity and complexity of integral calculation determine the importance and difficulty of higher mathematics integral calculation. Integrating the idea of integration into the teaching of integral calculation organically, it can make multivariate as one element, the complex into the simple, the unknown into known, and effectively breaks through the difficulty of integral calculation.