解析构造思想在中学数学中的应用

构造思想方法是根据问题条件和结论特征、性质,抓住反映问题条件与结论之间的内在联系,用已知条件中的元素为"元件",用已知关系式为"支架",在思维中构造出相关的新对象,使问题展现出来,并借助新对象使得原问题得到解决的思想方法。在中学数学教学中,构造思想方法并没有得到重视和发展。因此,本文从多种角度来分析构造思想方法在初中数学中的应用及影响。

Application of Analytic Construction Thought in Middle School Mathematics

Constructed thinking is the method which is based on problem conditions,conclusions features and nature,seizes the inner contact between problem conditions and conclusions,takes elements in known conditions as "components" and the known relationship type as "bracket",then constructs the new related object in thinking,makes problem show out,and solves the original problem with new object.In mathematics teaching of middle school,constructed methods has not been concerned and developed.Therefore,this article analyzes the applications and effects of constructed structure in middle school mathematics from a variety of perspectives.