| 欧氏几何的文化视角 |
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| 引用本文： | 袁志玲,陆书环,张绍增.欧氏几何的文化视角[J].曲阜师范大学学报,2006,32(3):120-124. |
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| 作者姓名： | 袁志玲 陆书环 张绍增 |
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| 作者单位： | [1]曲阜师范大学数学科学学院,曲阜市273165 [2]东明县技校,山东省东明县274000 |
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| 基金项目： | 曲阜师范大学校科研和教改项目 |
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| 摘 要： | 以《几何原本》为代表的欧氏几何是古希腊文明的一个火车头，是古代数学公理化方法的一个辉煌成就．文章简要介绍了欧氏几何及其公理化方法。并从文化的角度对其进行分析，探讨了欧氏几何的人文价值，美学价值和应用价值．最后，对中学几何教学中如何渗透文化教育，为新课程标准基本理念更好地付诸实施，提出了一些意见或建议．
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| 关 键 词： | 欧氏几何 欧氏公理化方法 文化价值 |
| 文章编号： | 1001-5337（2006）03-0120-05 |
| 收稿时间： | 2005-10-24 |
| 修稿时间： | 2005-10-24 |
Cultural Angle of View of Euclidean Geometry |
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| YUAN Zhi-ling,LU Shu-huan,ZHANG Shao-zeng.Cultural Angle of View of Euclidean Geometry[J].Journal of Qufu Normal University(Natural Science),2006,32(3):120-124. |
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| Authors: | YUAN Zhi-ling LU Shu-huan ZHANG Shao-zeng |
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| Institution: | 1. Department of Mathematics, Qufu Normal University, 273165, Qufu;2. Technology School of Dongming, 274000, Dongming, Shandong, PRC |
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| Abstract: | Euclidean geometry is not only the leader of the civilization of ancient Greek but also the brilliant achievements of axiomatic approach in mathematics. First of all, Euclidean geometry and its axiomatic approach are introduced in brief. Then, Euclidean geometry is analyzed from point of view of culture and its human value, aesthetic value and applied value are discussed. Finally, to better penetrate cultural instruction into geometry teaching and implement the ideal of the new curriculum, some advice is put forward. |
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| Keywords: | Euclidean geometry axiomatic approach in mathematics cultural value |
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