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1高中生函数概念学习困难的原因分析近现代数学的基石是函数概念,函数概念在中学数学中有着重要的地位。我们可以从教学经验看出,虽然近几年来在函数教学中不断地尝试了各种教学方法,通过分段循环的方式来安排函数知识的学习,但是学生的函数学习并未取得明显的成效。导致这种现象的原因主要有以下几个方面。(1)函数知识体系比较复杂。一般来说,函数概念包括本质属性、非本质属性以及函数特性三个大的要点。函数的两个本质属性包括两个要素,一是变量,二是对应法;函数的非本质属性包括集合、定义域以及值域等,函数本身还具有
1 High school students function concept Analysis of the reasons for learning difficulties The cornerstone of modern mathematics is the concept of function, the concept of function in high school mathematics has an important position. We can see from the teaching experience that although in recent years, we have tried various teaching methods in function teaching and arranged the learning of function knowledge by way of segment cycle. However, the function learning of students has not achieved obvious results. The main reasons for this phenomenon are the following aspects. (1) Function knowledge system is more complicated. In general, the concept of function includes three major points: essential attribute, non-essential attribute and function characteristic. The two essential properties of a function include two elements, one is a variable and the other is a corresponding law. The non-essential attributes of a function include a set, a domain, and a range, and the function itself also has