基于自动化专业需求的线性代数教学The Teaching of Linear Algebra Based on the Demand of Automation Specialty
李忠广
摘要(Abstract):
本文参考美国线性代数课程研究小组的意见和借鉴案例教学模式,考虑影响线性代数课程教学的原因,结合自动化专业专业核心课程的特点,把抽象的线性代数课程知识点与具体应用结合起来进行讲述,从而激发学生学习数学的兴趣.
关键词(KeyWords): 线性代数;案例教学模式;专业需求
基金项目(Foundation):
作者(Author): 李忠广
DOI: 10.16393/j.cnki.37-1436/z.2019.05.023
参考文献(References):
- [1]CARLSON D,JOHNSON C,LAY,et al.The Linear algebra curriculum study group recommendations for the first course in linear algebra[J].College Mathematics Journal,1993(24):41-46.
- [2]LAY D C.Linear algebra and its applications[M].3th ed.New York:Pearson Education Inc,2003:1-506.
- [3]ROGALSKI M.The Teaching experimented in lille[M]//DORIER J L.On the teaching of linear algebra.Dordrecht:Kluwer Academic Publishers,2000:133-149.
- [4]纳森伯格曼,亚伦詹姆斯.翻转课堂与慕课教学———场正在到来的教育变革[M].北京:中国青年出版社,2015:20-22.
- [5]吴国丽.基于“翻转课堂”理念的线性代数教学改革刍议[J].高教学刊,2017(9):61.
- [6]Betty Love,Angie Hodge,Neal Grandgenett and Andrew W Swift.Student learning and perceptions in a flipped linear algebra course[J].International Journal of Mathematical Education in Science and Technology,2014,45(3):317-324.
- [7]Julia Murphy,Jen-Mei Chang&Kagba Suaray.Student performance and attitudes in acollaborative and flipped linear algebra course[J].International Journal of Mathematical Education in Science and Technology,2016,47(5):653-673.
- [8]Yildiz AU.Teaching the diagonalization concept in linear algebra with technology:a case study at Galatasaray University[J].Turkish Online J.Educ Technol,2013,12(1):119-130.
- [9]S Domínguez-García,M I García-Planas,J Taberna.Mathematical modelling in engineering:an alternative way to teach Linear Algebra[J].International Journal of Mathematical Education in Science and Technology,2016,47(7):1076-1086.
- [10]POSSANI E,TRIGUEROS M,PRECIADO J G et a1.Use of models in the teaching of linear algebra[J].Linear Algebra Appl,2009,432(8):2125-2140.
- [11]TRIGUEROS M,POSSANI E.Using an economics model for teaching linear algebra[J].Linear Algebra and Its Applications,2013(438):l779-l792.
- [12]DORIER J L,ROBERT A,ROBINET J,et a1.The obstacle of formalism in linear algebra[M]//DORIER J L.On the teaching of linear algebra.Dordrecht:Kluwer Academic Publishers,2000:85-94.
- [13]DUBlNSK Y E.Some thoughts on a first course in linear algebra at the college level[M]//CARLSON D,JOHONSON C R,LAY D C.Resources for the teaching of linear algebra.The Mathematical Association of America.1997:85-105.
- [14]邹伯敏.自动控制理论[M].第3版.北京:机械工业出版社,2007:21-417.
- [15]郑大钟.线性系统理论[M].第2版.北京:清华大学出版社,2008:85-230.
- [16]王孝武.线代控制理论基础[M].第2版.北京:清华大学出版社,2008:138-139.
- [17]同济大学数学系.工程数学线性代数[M].第6版.北京:高等教育出版社,2014:1-138.