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弗赖登塔尔说:“数学学习的过程就是‘再创造’的过程,泄露一个可以由学生自己发现的秘密,那是‘坏的’教学法,甚至是罪恶.”在数学教学的过程中,教师在开课阶段精心设计必要的问题情境,引导学生通过观察、实验、猜测、推理、交流与反思,以已有的知识和经验为基础进行积极、和谐地建构,让学生亲身经历和感悟知识、技能的形成与巩固过程,经历数学思维的发展过程,体验问题的结论和方法之间的精彩过程,从而把新的学习内容正确地纳入到已有的认知
Freudenthal said: “The process of mathematical learning is the process of ’re-creation’, revealing a secret that can be discovered by the students themselves, which is ’bad’ pedagogy or even sin.” In mathematics teaching In the process, teachers carefully designed the necessary problem situations during the commencement of the course to guide students to actively and harmoniously build on the existing knowledge and experience through observation, experiment, speculation, reasoning, communication and reflection so as to enable students to experience and Perception of knowledge, skills, the formation and consolidation of the process, experience the development of mathematical thinking, experience the conclusions of the problem and the wonderful process between methods, so that the new learning content correctly into the existing cognitive