高等代数中蕴涵的小学数学思想

Primary School Mathematical Thoughts Contained in Higher Algebra

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.