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中文题名:

 基雪辽夫初等几何学立体几何部分的启示    

姓名:

 马浩文    

保密级别:

 公开    

论文语种:

 中文    

学科代码:

 070101    

学科专业:

 数学与应用数学    

学生类型:

 学士    

学位:

 理学学士    

学位年度:

 2019    

学校:

 北京师范大学    

校区:

 北京校区培养    

学院:

 数学科学学院    

第一导师姓名:

 黄红    

第一导师单位:

 数学科学学院    

提交日期:

 2019-05-20    

答辩日期:

 2019-05-10    

外文题名:

 The Enlightenment of the solid Geometry part of kiselev ‘s Elementary Geometry    

中文关键词:

 立体几何 ; 基雪辽夫 ; 中学数学    

中文摘要:
立体几何是中学数学教育的重要部分,对学生的学习有着重要影响。基雪辽夫编著的初等几何学(立体几何部分)对我国数学教育有着长久和深远的影响,从这本教材的具体证明过程出发进行分析研究,从中学习立体几何教材的优点,结合我国的教育现状,为立体几何部分教学的研究和实践提供历史发展的经验。 本文主要包括“前言”、“对基雪辽夫立体几何卷的分析”、“基雪辽夫立体几何卷的启示”三部分内容,重点以基雪辽夫编著的立体几何教材的英译本和中文译本为研究基础,分析研究了在立体几何卷中对于长方体体积、球面面积和球的体积的证明过程,结合我国教育发展的现状,对中学教学中立体几何部分的教学提出了一些粗浅的看法。
外文摘要:
Solid geometry is an important part of mathematics education in middle school, which has an important impact on students' learning. The elementary geometry (solid geometry part) compiled by kiselev has a long and far-reaching influence on mathematics education in our country. starting from the concrete proof process of this textbook, this paper analyzes and studies the advantages of solid geometry teaching materials. Combined with the present situation of education in our country, it provides the experience of historical development for the research and practice of the teaching of solid geometry. This paper mainly includes three parts: "Preface", "Analysis of kiselev's Stereo geometric Volume" and "Enlightenment of kiselev's Stereo geometric Volume". This paper focuses on the English and Chinese versions of the three-dimensional geometry textbook compiled by kiselev, which is based on the English and Chinese versions of the textbook.The proof process of cuboid volume, spherical area and spherical volume in solid geometry volume is analyzed and studied. Through these analysis and research combined with the present situation of the development of education in our country, this paper puts forward some superficial views on the part of solid geometry in middle school teaching.
参考文献总数:

 8    

插图总数:

 10    

插表总数:

 0    

馆藏号:

 本070101/19026    

开放日期:

 2020-07-09    

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