摘要
在高等数学中,函数的连续与间断点等内容具有承上启下的作用,对于函数连续性的掌握、极限运算、零点定理、介值定理等内容的学习都具有重要的意义。传统的教学方法是先直接给出连续与间断的定义,再举出函数实例进行判定和理解,这样虽然能够简明地给出定义,解决问题,但学生对知识缺少形象、直观的认识,不易于接受和理解透彻。本文将抽象问题具体化,引入生活实例来说明,获得了较好的教学效果。
In higher mathematics, the continuity and discontinuity points of functions play a connecting role, so the mastery of function continuity and the learning of limit operation, zero point theorem and intermediate value theorem are of great significance.Traditional teaching methods first give the definitions of continuity and discontinuity and then give examples of functions to carry out determination and understanding. In this way, definitions can be given briefly and problems can be solved, but students lack vivid and intuitive awareness of knowledge and it is hard for them to accept and understand knowledge thoroughly. This paper makes abstract problems specific and introduces examples in life,and has achieved favorable teaching effect.
出处
《科教文汇》
2016年第7期60-61,共2页
Journal of Science and Education
关键词
连续
间断
函数
生活实例
continuity
discontinuity
functions
examples in life
