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1问题提出现代数学观认为数学知识不是纯粹传递与接受结论性产品,而是个人参与构建、探究的生产性过程,这种动态数学观就是数学探究的本体论基础~([1]).我国最新颁布的《义务教育数学课程标准(2011年版)》强调动手实践、自主探索与合作交流的数学学习方式~([2]).全美数学教师理事会发布的《美国学校数学教育的原则和标准》提出要创设富有挑战的学习环境,鼓励学生合作与探索~([3]).关
1 PROBLEM PROBLEM The modern mathematical view holds that mathematical knowledge does not refer purely to the conclusion product, but to an individual’s participation in the productive process of construction and inquiry, which is the ontological basis of mathematical inquiry. [1] The newly promulgated “Mathematical Curriculum Standard for Compulsory Education (2011 Edition)” emphasizes hands-on learning, self-exploration and cooperation and exchange of mathematical learning methods [2]. The National Mathematics Teachers Council released the “principles and standards of American school mathematics education ”Proposed to create a challenging learning environment to encourage students to cooperate and explore ~ ([3]).