| 线性代数教材改革指导思想探析 |
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| 引用本文： | 程永胜.线性代数教材改革指导思想探析[J].数学学习,2011(6):47-49. |
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| 作者姓名： | 程永胜 |
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| 作者单位： | 河南大学现代数学研究所／数学与信息科学学院,河南开封475004 |
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| 基金项目： | 基金项目：国家自然科学基金（11047030）,河南省教育厅自然科学基金（20108110003）,河南大学自然科学基金（2009YBZR025）,河南大学教学改革项目. |
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| 摘 要： | 论述线性代数教材改革的必要性及其指导思想，主张线性代数教材建设应以矩阵为主线，以教育部颁发的硕士研究生人学考试线性代数部分的大纲为纲，结合教学现代化的现状，强调几何与代数相结合，重视代数学思想方法的渗透，化抽象为具体，同时在教学中还要引入数学建模的思想．
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| 关 键 词： | 线性代数 教材改革 矩阵 数学思想 |
Practices and Thoughts on Linear Algebra Textbook Reform |
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| CHENG Yong-sheng.Practices and Thoughts on Linear Algebra Textbook Reform[J].Studies In College Mathematics,2011(6):47-49. |
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| Authors: | CHENG Yong-sheng |
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| Institution: | CHENG Yong-sheng (Institute of Contemporary Mathematics / School of Mathematics and Information Science, Henan University, Kaifeng 475004, China) |
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| Abstract: | In this paper, practices and thoughts about linear algebra textbook reform are shared. The author believes that linear algebra textbooks should be written so that the matrix theory becomes the main focus as advocated by the Ministry of Education for Graduate Entrance Examination. With the modern teaching tools, meaningful combination of geometry and algebra, suitable penetration of mathematical ideals, and helpful realization of abstract concepts can all be emphasized. At the same time, mathematical modeling should be also introduced. |
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| Keywords: | linear algebra textbook reform matrix mathematics ideal |
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