“数形结合思想在小学数学教学中的应用”研究

Research on the Application of the Combination of Number and Shape in Primary School Mathematics Teaching

把问题的数量关系与空间形式结合起来考虑,或者把数量关系转换成空间的性质问题,或者把空间的性质问题转化成数量关系问题,这种处理问题的思想就是数形结合思想。数形结合作为数学学习中最重要的数学思想方法之一,体现了"数"与"形"之间相互依存,相互转换的一一对应关系,是形象思维与抽象思维的结合。

the problem of quantity relationship and space form combined consideration, or convert quantity relationship to the nature of the problem space, or the space relationship between the nature of the problem into a number of issues, this thought is the number form combining ideas to deal with problems. Number form combining as one of the most important mathematical thinking method of mathematics learning, reflects the interdependence between "number" and "shape", mutual transformation of one to one correspondence relation, is the combination of image thinking and abstract thinking.