常微分方程教学中化归思想的渗透

Emphasizing the Infiltration of the Transformation Thought in the Ordinary Differential Equation Teaching

从强调重视育人和人的发展的数学课程观出发,本文介绍了在微分方程教学中渗透数学思想方法的意义,化归方法的基本思想与原则;探究了化归方法在微分方程中的具体体现及价值,以及在常微分方程的教学中进行化归思想方法渗透的几点实践探索体会,提出在数学教学中教师应不断反思教学的价值.

From the views of mathematical course that emphasizing the education and development of students, the article introduces the significance of the transformation thought infiltration in the ordinary differential equation teaching, the basic thought and principle of the transformation method; probes into the reflect and the value of the transformation method in the equation teaching , and the teaching experience of the infiltration of the transformation thought. It also puts forward a view that the teachers should try their best to increase the value through their own teaching.