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数学学习中的类比迁移 被引量:20

Analogical Transfer in Mathematics Learning
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摘要 类比迁移是一种重要的迁移现象.在数学中,两个不同知识系统或两个不同问题之间的共同要素以及学习者头脑中的认知结构是影响类比迁移的两个主要因素;两个可类比的系统存在直接和间接两种关系,具有直接关系的两个系统存在着意义完全明确的类比关系,因此可直接进行类比推理,具有间接关系的两个系统,则需要对类比系统进行变换或重整化处理,建构一个中介系统;在类比迁移过程中,两个系统的共同要素是诱因,而过程性知识则起着支配作用。 Analogical transfer was an important appearance of transfer. In mathematics, similar dements between two different knowledge systems or two different questions and cognitive structure of learner were the major elements that affect analogical transfer. There were direct relation and indirect relation between two similar systems, Two systems with direct relation bad analogical relation of completely explicit meaning, so analogical reasoning could be carried on directly; about two systems with indirect relation, the analogical system needed to be alternated or arranged anew, a medium system was build. In process of analogical transfer, the similar elements between two systems were the reason; the process knowledge took controlling action.
出处 《数学教育学报》 北大核心 2006年第4期33-36,共4页 Journal of Mathematics Education
关键词 类比迁移 共同要素 认知结构 联想 归纳 过程性知识 analogical transfer similar element cognitive structure imagine induction process knowledge
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