本文首先简述了数学变式教学的研究背景、主要研究成果和研究意义，并引入了一个具体的课堂案例一一有关反比例函数的教学，结合上述案例，文章从概念性变式和过程性变式两个角度分析了数学变式教学的理论及其在课堂上的应用。通过使用直观具体的变式引入概念、变换概念的非标准形式、恰当运用反例这三种概念性变式，能够加强学生对概念的多角度理解;利用过程性变式能够培养学生问题解决的能力，也可以丰富概念的表征，帮助学生更好的理解概念。

This paper begins with showing background, production and significance on study of pedagogy of variation in mathematics, then describes a classroom case about teaching inverse proportional function. From this case, the paper chooses two angles—conceptual variation and procedural variation—to analyze the the theory of pedagogy of variation in mathematics and the application of this theory in classroom. There are three kinds of conceptual variation which can enhance the understanding of mathematics concept—introducing concept from visual variation,changing nonstandard forms of concept, using counter examples correctly. Through procedural variation,we can train students＇ability on problem solving.In addition, we can use procedural variation to enrich the representation of mathematics concept in order to help students understand concept better.