高等代数中蕴涵的小学数学思想  

Primary School Mathematical Thoughts Contained in Higher Algebra

作　　者：董可荣[1] Dong Kerong

机构地区：[1]淄博师范高等专科学校数理系,山东淄博255130

出　　处：《淄博师专论丛》2020年第4期51-55,共5页Forum of Zibo Normal College

摘　　要：高等代数内容包括线性代数基础和多项式理论,其中蕴涵了丰富的小学数学思想。比如,分解质因数思想、算法与算理思想、倒数思想、鸡兔同笼思想以及整数运算律等。通过挖掘小学数学思想,使学生能更准确地把握小学数学教材,从而毕业后更快地适应小学数学的教学。The content of advanced algebra includes Linear Algebra and polynomial theory,which contains a wealth of primary school mathematical thoughts such as the decomposition of prime-factor ideas,algorithm and theory of computation,countdown thought,the idea of keeping chickens and rabbits in the same cage and the law of integer operations.By digging out the mathematics thoughts,the students can grasp the primary school mathematics teaching materials more accurately,so that they can adapt to the primary school mathematics teaching more quickly after graduation.

关 键 词：高等代数 小学数学思想 多项式理论 矩阵 线性空间 

分 类 号：O151.21[理学—数学]