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荷兰著名数学教育家弗赖登塔尔强调:“学习数学的唯一正确的方法是实行‘再创造’,也就是由学生本人把要学的东西自己去发现或创造出来;教师的任务是引导和帮助学生进行这种再创造的工作,而不是把现成的知识灌输给学生。”他认为:“数学是人的一种活动,如同游泳一样,要在游泳中学会游泳,我们也必须在做数学中学习数学。”《数学新课程标准》也指出:“数学教学活动必须建立在学生的认知发展不平衡和已有知识经验基础之上,教师向学生提供充分从事学习活动的机会,帮助他们在自主探索和合作交流的过程中真正理解和掌
The famous Dutch mathematics educator Freudenthal emphasizes: ”The only correct way to learn mathematics is to practice ’recreating’, which is to discover or create by the students themselves what they want to learn. The teacher’s task is to guide And help students do this kind of recreational work rather than instilling ready-made knowledge to students. “” He thinks: “Mathematics is a human activity, just like swimming, swimming in the middle to learn to swim, we must Learning math in mathematics. ”“ The new curriculum standard for mathematics ”also pointed out:" Mathematics teaching activities must be based on the imbalance of cognitive development of students and on the basis of existing knowledge and experience. Teachers provide students with sufficient learning activities Opportunities to help them truly understand and hold hands during their own exploration and cooperation