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《数学课程标准》指出:“有效数学学习活动不能单纯地依赖模仿与记忆,动手实践、自主探索、合作交流是学生学习数学的重要方式.”“让学生经历观察、操作、归纳等学习数学的过程,感受数学思考过程的合理性.”苏联教育家苏霍姆林斯基指出:“儿童的智慧在他的手指尖上.”著名心理学家皮亚杰也说过:“儿童的思维从动作开始,切断动作与思维的联系,思维就得不到发展.”小学生的思维还处在以具体形象思维向抽象逻辑思维过渡的阶段,他们对抽象的数学知识的理解,往往建立在形象感知的基础上.
Mathematical Curriculum Standards states: “Effective mathematical learning activities can not rely solely on imitation and memory. Hands-on practice, self-exploration, and cooperation and exchange are important ways in which students can learn mathematics.” “Let students experience observation, manipulation, induction, etc. Learn the process of mathematics and feel the rationality of the process of mathematical thinking. ”“ Soviet educator Sukhomlinski pointed out: ”Children’s wisdom is on his finger.“ The famous psychologist Piaget also said : ”Children’s thinking starts from the action, cut off the connection between action and thinking, and thinking can not be developed.“ ”The thinking of pupils is still in the stage of transition from concrete thinking to abstract logic thinking, and their knowledge of abstract mathematics The understanding, often based on the perception of the image.