函数概念的教学反思

A Rethink on the Teaching of Function Concept

学生在初中、高中和大学高等数学中都要学习和认识函数概念,并且接触了三个函数的定义表述。但是教学效果常不理想,学生常不能把握函数概念的实质,同时形成函数思想和培养应用函数模型解决实际问题的能力在教学中也易被淡化。本文对函数概念教学中的过于关注定义形式化的倾向作了反思。

The development of the function concept has experienced a long and complex history. Learning and understanding of the function concept is also complex. Students must study and understand the function concept and learn how to express the definition of three functions in high school and University during studying higher mathematics. However, the teaching effect is not ideal. Students can not grasp the essence of the function concept, shape function thought and have the ability to solve practical problems with culture function model. In this paper, it is rethought whether formal definition is paid too much attention to concept. during the teaching of function concept.