例析分类思想融入初中数学教学

An Example Analysis and Classification into Junior Middle School Mathematics Teaching

分类,是研究数学问题常用的思想方法。正确地进行分类,通常应从实际出发,选取恰当的标准,然后要根据对象的属性,不重复、不遗漏地划分为若干类。应用分类的方法,往往能使复杂的问题条理化、简单化。在初中数学的概念、定理、法则、公式等基础知识中,有不少是分类给出的,也有些数学问题在解答中,可能条件或结论不唯一确定,有几种可能性,也需要从实际出发进行分类讨论。

Classification is a common way of thinking to study mathematical problems.The correct classification usually starts from the actual situation,selects the appropriate standard,then according to the attributes of the object,does not repeat,does not omit to divide into several classes.The application of classification method can often make complex problems organized and simplified.In junior middle school mathematics concepts,theorems,rules,formulas and other basic knowledge,there are a lot of classification given,there are also some mathematical problems in the solution,the possible conditions or conclusions are not unique,there are several possibilities,but also need to start from the actual classification discussion.