数形结合思想在高等数学教学中的应用

The application of the combination of number and shape in higher mathematics teaching

针对高等数学抽象性的特点,提出采用数形结合的思想方法进行高等数学教学.结合具体实例,分别从定义理解、定理证明和计算过程等方面阐述数形结合思想方法在高等数学学习时的优越性.数形结合思想的应用,使得教育教学过程更加形象化、清晰化、具体化,在提高学生积极性的同时,加深了他们对高等数学理论知识的认识和理解.

In view of the abstract characteristics of higher mathematics,the idea of combination of number and shape in higher mathematics teaching was puts forward. Combined with specific examples,the advantages of the combination of number and shape in higher mathematics learning are expounded from the aspects of definition understanding,theorem proving and calculation process.The application of the thought makes the teaching process more visualized,clearer and more specific,at the same time of improving students′ enthusiasm,it also deepens their understanding of theoretical knowledge in higher mathematics.