| 关于重演理论的实证调查与分析 |
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| 引用本文： | 刘超.关于重演理论的实证调查与分析[J].兵团教育学院学报,2011,21(4):65-72. |
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| 作者姓名： | 刘超 |
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| 作者单位： | 石河子大学师范学院／兵团教育学院,新疆石河子,832003 |
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| 基金项目： | 新疆生产建设兵团普通高中课程改革规划课题 |
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| 摘 要： | 重演理论是数学史与数学教育整合的重要理论基础.通过调查学生对负数大小的识别,发现数学的历史发展过程与学生的认知过程有着一定的相似性,可以利用重演理论来构建数学课程.一方面,运用重演理论反思教学内容编排的合理性,对知识的呈现顺序进行更为合理的设计,对课程的整体设置进行更适切的把握;另一方面,在针对某一知识点进行教学设计时,通过研究数学史,对学生的认知障碍进行预先分析,结合史实资源开拓学生思维,使学生对知识的理解更加多元、更加深入.
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| 关 键 词： | 重演理论 数学史 实证研究 |
An Empirical Study of Recapitulation Theory |
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| LIU Chao.An Empirical Study of Recapitulation Theory[J].Journal of Bingtuan Education Institute,2011,21(4):65-72. |
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| Authors: | LIU Chao |
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| Institution: | LIU Chao(Teachers College,Shihezi University / Bingtuan Education Institute,Shihezi,Xinjiang 832003,China) |
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| Abstract: | Recapitulation theory is an important theoretical foundation on the integration between history and pedagogy of mathematics.Through a empirical research on number series,we find that there was some parallelism between students＇ cognition and the mathematics＇ history,the recapitulation theory can be used to construct mathematical curriculum.On the other hand,we can apply recapitulation theory to recall the rationality of current content order,make a rational design for the content order and the whole curriculum＇s design;on the other hand,when we design the teaching of a concrete knowledge,recapitulation theory guides us analyze students＇ cognition obstacle and exploit students＇ thought through studying history and ample historical resource. |
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| Keywords: | recapitulation theory history of mathematics Empirical study |
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