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数形结合是通过数与形的相互转化、相辅相成来解决数学问题的一种思想方法。它既是一个重要的数学思想,又是一种常用的数学方法。在教学中渗透数形结合的思想,可把抽象的概念直观化,帮助学生形成概念;可使计算中的算式形象化,帮助学生理解算理;可将抽象的关系直观化、形象化,帮助学生理解数量关系;可将复杂问题简单化,在解决问题的过程中,激发学生兴趣,提高学生的思维能力。适时的渗透数形结合的思想,可达到事半功倍的效果。
The combination of numbers is a way of thinking that can solve mathematical problems through the mutual transformation of numbers and forms. It is not only an important mathematical thought, but also a common mathematical method. The idea of combining numbers and forms in teaching can be used to visualize the concept of abstraction and help students to form concepts. It can visualize computing formulas and help students understand algorithms. Visual abstraction, visualization and help Students understand the relationship between the number of complex issues can be simplified, in the process of solving the problem, to stimulate student interest and improve students’ thinking ability. Timely penetration of the combination of number of ideas, can achieve a multiplier effect.