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数学的三个世界及理论探析
引用本文:周士民. 数学的三个世界及理论探析[J]. 首都师范大学学报(自然科学版), 2012, 33(3): 4-7
作者姓名:周士民
作者单位:青岛理工大学,山东,273400
摘    要:具体化、符号化、形式化被称为数学的三个世界.该理论是以认知主义、建构主义为基础,融合了认知科学、新皮亚杰主义而形成的认知发展理论.该理论重新解释了认知形成和发展过程,说明了抽象知识是相互转化的,主张用联结主义教学模式.

关 键 词:数学的三个世界  认知发展  抽象  联结

Three Worlds of Mathematics and Analysis about This Theory
Zhou Shimin. Three Worlds of Mathematics and Analysis about This Theory[J]. Journal of Capital Normal University(Natural Science Edition), 2012, 33(3): 4-7
Authors:Zhou Shimin
Affiliation:Zhou Shimin(Qingdao Technology University,Shandong 273400,China)
Abstract:Embodiment,Symbolism and Formalism are called Three Worlds of Mathematics.This cognitive development theory grows based on cognitivisim and constructivism.And blended with cognitive science 、New Piagetism.We make an analysis about its theoritical structure and its theoritical basis in this paper.and introduce its perspective about cognitive development、knowledge and teaching.
Keywords:Three worlds of Mathematics  Cognitive development  Abstraction  Connection
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