摘要
在“高等代数”的教学过程中,如何进一步启迪学生的发散思维,以科学严谨的眼光对待某些例题与习题,并进一步挖掘题目中蕴含的问题,是非常值得思考的问题。在教学实践中,我们针对矩阵的秩的不等式问题,跟学生进一步探讨等号成立的充要条件,这是科学思维渗透教学过程的具体体现。
In the teaching of Higher Algebra, how to further enlighten students’ divergent thinking, to complete some examples and exercises with a scientific and rigorous perspective, and to further explore the problems hidden in the questions is a problem worth pondering. Aiming at the matrix rank inequalities, this paper further discusses with students the necessary and sufficient conditions of the equality, which reveals the scientific thinking in the teaching process.
作者
冯立华
胡志
刘伟俊
李宸
鲁卢
FENG Lihua;HU Zhi;LIU Weijun;LI Chen;LU Lu(School of Mathematics and Statistics,Central South University,Changsha 410083,China)
出处
《当代教育理论与实践》
2023年第1期58-63,共6页
Theory and Practice of Contemporary Education
基金
国家自然科学基金(12271527,12071484)
湖南省自然科学基金(2018JJ2479,2020JJ 4675)。
关键词
矩阵
秩
不等式
等式
matrix
rank
inequality
equality
