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中文题名:

 中学阶段复数意义和作用的拓展    

姓名:

 孙慈泉    

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:

 2017    

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:

 崔丽    

第一导师单位:

 北京师范大学数学系    

提交日期:

 2017-05-18    

答辩日期:

 2017-05-16    

中文关键词:

 复数 ; 几何 ; 应用 ; 中学    

中文摘要:
如今在中学阶段复数知识得不到足够重视.知识内容被过度精简,有些问题没能得到合理解释.学生对复数存在一定认知障碍,在学习过程中容易遇到困难.而单调的考察方式使得对复数探究的动力匮乏. 本文从回顾教材基本知识入手,结合学习经历发现其不足之处.再通过查阅其它资料,选择其中易于理解的部分知识对基本知识进行修改和补充,并处理一些几何问题,以此说明其必要意义.最后给出对教材内容安排的新设想. 通过修补,使得复数的引入更加合理,使得复数的应用更加广泛.学生可以通过了解部分历史体会引入复数的必要性,同时在处理几何问题时意识到复数这一强大的工具,从而加深对复数的理解.
外文摘要:
In the high school, the plural is not given enough attention. The content is reduced. And some problems can not be explained reasonably. Students have some cognitive obstacles in the plural.It is easy to encounter difficulties in the learning process, as well as the lack of motivation for inquiry. This article starts from reviewing the basic knowledge of teaching materials, and finds out its shortcomings with the learning experience.Through reviewing other information, select some which is easy to understand to modify and supplement, and deal with some geometric problems to explain its necessary significance Finally, a new idea is given for the content arrangement. Through the repair, introduction of the plural is more reasonable, so that the application of the plural is more extensive.People can understand some of the historical experience of the need to introduce the plural. While dealing with geometric problems, people will realized that it is a powerful tool,and then deepen understanding.
参考文献总数:

 10    

作者简介:

 北京师范大学2013级应数2班本科生    

插图总数:

 12    

插表总数:

 0    

馆藏号:

 本070101/17155    

开放日期:

 2017-05-18    

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