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函数是高职数学中的核心内容,函数教学中蕴含着许多数学方法和数学思想。由于函数概念的高度抽象性,学生真正理解函数概念需要一个漫长的过程,需要在不同层次上,从不同角度给学生提供理解和巩固函数概念的机会。函数不但是数学研究的对象,同时也是数学中常用的一种思想方法,函数的思想广泛地渗透到数学教学的全过程及其他学科中,因此搞好函数的教学至关重要。此外,函数概念因为其高度的抽象性而成为最难把握的概念之一。
Function is the core content of higher vocational mathematics, which contains many mathematical methods and mathematical ideas. Due to the high degree of abstraction of the function concept, students need a really long way to understand the concept of the function. They need to provide students with the opportunity to understand and consolidate the concept of the function from different perspectives at different levels. Function is not only the object of mathematical research, but also a commonly used method of thinking in mathematics. The idea of function permeates into the whole process of mathematics teaching and other disciplines. Therefore, it is very important to improve the teaching of function. In addition, the concept of functions is one of the hardest concepts because of its high degree of abstraction.