教育家弗赖登塔尔曾说:“数学学习是一种活动,这种活动与游泳、骑自行车一样,不经过亲身体验,仅仅从看书本、听讲解、观察他人的演示是学不会的。”《数学课程标准》也提出了“四基”目标:基础知识、基本技能、基本思想和基本活动经验。由此可见,帮助学生积累数学活动经验,是数学教学的重要目标。数学实践告诉我们,数学经验的积累大概需要经过以下过程:一是经历,包含生活经历和学习活动经历。二是概括,把获取的生活经验概括提炼成数学 Educator Freudenstall once said: “Mathematics learning is an activity, like swimming, cycling, without going through personal experience, just reading a book, listening to explain, to observe the demonstration of others will not learn . ”The Mathematics Curriculum Standard also sets forth the“ Four Basics ”goal: basic knowledge, basic skills, basic ideas and experience in basic activities. Thus, to help students accumulate experience in math activities, mathematics teaching is an important goal. Mathematical practice tells us that the accumulation of mathematical experience may need to go through the following process: First, experience, including life experiences and learning activities. The second is generalization, the acquisition of life experience summarized into mathematics