“变式教学”这一说法由来已久,早在1981年,顾泠沅教授就对变式教学进行过系统、深入的研究,他对传统课堂教学中的“概念变式”进行了系统整理,并将“概念性”变式推广至“过程性”变式,从而使变式教学既适用于数学概念的掌握,也适用于数学活动经验的增长.2003年,鲍建生与顾泠沅等人在《数学教学》上连续三期发表了长达2万多字的《变式教学研究》一文,对过往关于变式教学的研究工作进行了总结,界定了数学变式 As early as 1981, Professor Gu Lingyuan conducted a systematic and in-depth study on variant teaching. He made “variation of concept” in traditional classroom teaching Systematic arrangement and “” conceptual “variants to the ” procedural “variants, so that the variant teaching is not only suitable for mastery of mathematical concepts, but also for the growth of mathematical activity experience.In 2003, abalone Jiansheng and Gu Lingyuan and others published ”Variant Teaching Research“ with more than 20,000 words for three consecutive issues in ”Mathematics Teaching", summarized the past research work on variant teaching, and defined mathematical variants