矩阵与线性变换几何意义的教学探索
|
摘要
通过几何图形对矩阵与线性代数中的一些抽象概念进行了详细的描述和几何解释,几何图形能够以其生动直观的表达与阐释给学生留下深刻的印象.从而可以帮助学生建立对线性代数具体形象的理解,使其从根本上理解矩阵的概念及其几何意义.旨在激发学生的兴趣,提高教学效果,帮助学生能够应用所学知识解决实际问题.
By the geometry of matrix and some abstract concepts in linear algebra has carried on the detailed description and geometric interpretation,geometric graphics can give students a deep impression with vivid and intuitive expression and interpretation.Therefore, it can help students to build up their understanding of the concrete image of linear algebra, so that they can understand the concept of matrix and its geometric meaning fundamentally.It aims to stimulate students′ interest,improve the teaching effect,and help students to apply what they have learned to solve practical problems.
By the geometry of matrix and some abstract concepts in linear algebra has carried on the detailed description and geometric interpretation,geometric graphics can give students a deep impression with vivid and intuitive expression and interpretation.Therefore, it can help students to build up their understanding of the concrete image of linear algebra, so that they can understand the concept of matrix and its geometric meaning fundamentally.It aims to stimulate students′ interest,improve the teaching effect,and help students to apply what they have learned to solve practical problems.
引文
[1]王利东,刘婧.从应用实例出发的线性代数教学模式探讨[J].数学教育学报,2012,21(3):83-85
[2]张莉.矩阵与变换的教学设计研究与实验[D].武汉:华中师范大学,2011
[3]汤锦梁.《矩阵与变换》专题教学设计研究[D].福州:福建师范大学,2008
[4]贾璐,姚光同.矩阵代数上的几种线性变换及其相互关系[J].高等数学研究,2018,21(1):41-43
[5]任广千,胡翠芳.线性代数的几何意义[M].西安:西安电子科技大学出版社,2010
[6]王健,郭明普.线性代数教学中加强几何直观教学的意义[J].新乡师范高等专科学校学报,2003,17(2):51-53
[7]曾梅兰.线性变换及矩阵可交换的性质与应用[J].孝感学院学报,2006(3):44-46
[8]闫福旭.线性变换下的变换矩阵及应用[J].青海大学学报:自然科学版,2012,30(5):69-73
[9]记永强.平面上线性变换的特征向量的几何意义[J].湖州师范学院学报,2014,36(2):1-5
[10]曾振新.关于线性变换乘法与矩阵乘法[J].数学学习与研究,2016(19):149-151
[11]张姗梅,刘耀军.线性变换及其矩阵表示[J].山西大同大学学报:自然科学版,2011,27(5):1-4
[2]张莉.矩阵与变换的教学设计研究与实验[D].武汉:华中师范大学,2011
[3]汤锦梁.《矩阵与变换》专题教学设计研究[D].福州:福建师范大学,2008
[4]贾璐,姚光同.矩阵代数上的几种线性变换及其相互关系[J].高等数学研究,2018,21(1):41-43
[5]任广千,胡翠芳.线性代数的几何意义[M].西安:西安电子科技大学出版社,2010
[6]王健,郭明普.线性代数教学中加强几何直观教学的意义[J].新乡师范高等专科学校学报,2003,17(2):51-53
[7]曾梅兰.线性变换及矩阵可交换的性质与应用[J].孝感学院学报,2006(3):44-46
[8]闫福旭.线性变换下的变换矩阵及应用[J].青海大学学报:自然科学版,2012,30(5):69-73
[9]记永强.平面上线性变换的特征向量的几何意义[J].湖州师范学院学报,2014,36(2):1-5
[10]曾振新.关于线性变换乘法与矩阵乘法[J].数学学习与研究,2016(19):149-151
[11]张姗梅,刘耀军.线性变换及其矩阵表示[J].山西大同大学学报:自然科学版,2011,27(5):1-4