函数是中学数学重要的概念,它在数学领域中有广泛的应用,同时函数也是中学数学的一大难点,诸多文献对此问题有过深入的研讨,笔者在初中函数教学中,对此问题也一直做了关注和探究,注意到学生在认识变量、函数概念、函数图象时,存在一些共同的认知障碍,现将此进行总结和剖析,并提供相应的优化策略与方法,以飨读者.1.错误认知:函数概念的数系观. Function is an important concept of high school mathematics, it has a wide range of applications in the field of mathematics, but also a function of high school mathematics is a major difficulty, many literature on this issue have been in-depth discussion, the author in junior high school function teaching, this problem Attention and exploration have been made all the time. It is noted that students have some common cognitive impairment in recognizing variables, function concepts and function images. Now they are summarized and analyzed, and the corresponding optimization strategies and methods are provided to readers .1. False cognition: the concept of the number of systems concept.