一、问题的提出函数概念是高中数学的重点也是难点,几百年来,随着数学的发展,对函数概念的理解也不断深入,由函数的描述性定义过渡到高中阶段集合观点下的函数定义。由于形式化的函数概念定义的抽象性与层次性,使学生对函数概念的理解上产生不同程度的困难。随着新课程的实施,不同版本的教材对函数概念的表述和呈现方式都有所区别。考虑到人教A版和北师大版教材使用的广泛性,本文对两个版本的函数概念的引例、函数概念三要素等内容进 First, the problem raised Function concept is the focus of high school mathematics is also a difficult point, with the development of mathematics, the understanding of the concept of function is also in-depth, from the descriptive definition of the function transition to high school under the point of view of the collection function definition. Due to the abstraction and hierarchy of the conceptual definition of formal functions, students have different degrees of difficulty in understanding the functional concepts. With the implementation of the new curriculum, different versions of the textbook differ in their presentation and presentation of functional concepts. Considering the extensive use of teaching materials of A version and BNU version, this paper introduces two versions of function concept, three elements of function concept and so on