著名教育家陶行知先生对人如何获得知识曾做过一个形象的比喻:“我们要有自己的经验做根,以这经验所发生的知识做枝,然后别人的知识才能接得上去,别人的知识方才成为我们知识的一个有机组成部分.”这表明,基本活动经验是学生数学学习的必要前提,是其获得数学直觉的源泉.史宁中教授也曾说:“我们必须清楚,世界上有很多东西是不可传递的,只能靠亲身经历.智慧并不完全依赖知识的多少,而依赖知识的运用、依赖经 Mr. Tao Xingzhi, a famous educator, has done a vivid metaphor of how people acquire knowledge: ”We need to have our own experiences as root and branch with the knowledge of this experience, and then the knowledge of others can be accepted. The knowledge of others has only become an integral part of our knowledge. “” This shows that basic activity experience is a necessary prerequisite for students’ mathematical learning and a source of mathematical intuition. “Professor Shi Ningzhong once said:” We must know , There are many things in the world that are not transitive and can only be experienced in their own hands.Wisdom does not depend entirely on the amount of knowledge but on the application of knowledge,