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在数学学习理论视角下探究《习算纲目》

Inquiry of A Syllabus of Mathmatics in the Perspective of Mathematical Learning Theory
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摘要 结合数学学习理论研究杨辉的《习算纲目》,其中蕴含着诸多学习论要素,主要有以下四个方面:通过用法与例题的相互作用实现知识的迁移;通过精细加工实现对知识的长久记忆;通过对逆运算的理解实现对思维的训练;通过鼓励学习者的自主建构实现数学知识的合理发展.此外,这些学习论要素与《习算纲目》中包含的教学论和课程论要素相结合,从而能够丰富对杨辉数学教育思想的理解. In combination with the mathematical learning theory a study is made on Yang Hui's book,A Syllabus of Mathematics,finding that it contains principally four elements of learning theory: the achievement of knowledge transfer by the interactions between the "rules" and the "examples";the realization of the long-term memory of knowledge by the elaboration processing;the conduction of thinking training by comprehension of the inverse operation;the realization of the rational development of mathematics knowledge by encouraging independent learner construction.Besides,a perfect combination of such elements of learning theory with the elements of curriculum and teaching theory can enhance our understanding of Yang Hui's mathematical education thoughts.
作者 罗旋
出处 《内江师范学院学报》 2012年第2期70-72,共3页 Journal of Neijiang Normal University
关键词 《习算纲目》 迁移 精细加工 自主建构 A Syllabus of Mathematics transfer of knowledge elaboration processing independent construction
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