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基于认知建构理论的数学命题学习研究 被引量:5

Mathematical Proposition Learning Based on Cognition Construction Theory
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摘要 命题学习在于掌握命题的心理意义.数学命题主要有定义型命题、公理、定理型命题、证明题等4种类型.数学命题的特点主要表现为抽象性、符号性和逻辑性.认知建构理论认为数学命题学习是命题接受、命题理解和命题应用的过程.命题接受的条件是学习者具有积极的心向、适当的认知结构、两种语言转换能力;命题理解是赋予命题心理意义和建立命题网络的内在建构;命题应用的途径是问题解决,包括命题激活与提取、精致的过程. The aim of proposition learning was to obtain propositional meaning in mind. Cognition Constructivism theory showed that the process of proposition learning was propositional acceptance, comprehension and application based on the feature of mathematics proposition and it's network structure. The conditions of propositional acceptance was that learner own active set, proper cognitive structure and the ability of the change between mathematics language and normal language. Propositional comprehension was to obtain propositional meaning and construct propositional network in mind. The approach of propositional application was mathematics problem solving, including the process of proposition activation, posing and elaboration.
作者 周友士
出处 《数学教育学报》 北大核心 2008年第5期69-73,共5页 Journal of Mathematics Education
基金 江苏省哲学社会科学资助课题——数学建构学习论研究(053880039)
关键词 认知理论 数学命题 命题学习 精致 cognitive theory mathematical proposition proposition learning elaboration
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