整体思考的优越性——以20以内的进位加和退位减为例

On the Advantage of Integrated Thinking: A Case Study on Addition and Subtraction with Carry within 20

学得多比学得少有时候更容易,这看起来是矛盾的,却是教学的辩证法。辩证法的一个基本观点是,事物是普遍联系的,事物的发展变化是有规律的。小学数学中也普遍体现了这一点,20以内的进位加和退位减就是其中的典型例子。如果整体思考,抓住其中的联系,找出其中的规律,就可以使我们的教学变得简易而有趣。用整体的观点和联系的观点思考问题,是重要的数学思维方法。

Sometimes learning more is easier than learning less, which seems to be contradictory, but embodies the dialectics of teaching. A basic view of dialectics is that all the things are interrelated and the development of things has rules, which can also be seen in primary math teaching. The addition and subtraction with carry within 20 is a typical example. Making use of integrated thinking, grasping the inner relation in it and finding the rules can make the teach-ing will be easy and interesting. Thinking about questions with integrated and related thinking is a key way of thinking for math.