浅谈导数概念中蕴含的几个哲学思想

Some philosophical ideas in the Derivative

通过对导数概念的分析,发现导数概念中蕴含着否定之否定、量变与质变、能屈能伸、变与不变、动与静等哲学思想,因此在高等数学教学或学习过程中,要自觉地研究数学与哲学的内在联系,学会从哲学角度去辩证剖析某些现象。

By the analysis of concept of derivative, philosophical ideas were found in the concept: the law of negation of negation, quantitative change and qualitative change, flexible and resilient, changing and unchanging, dynamic and static. Therefore, in the teaching-learning process of higher mathematics, it is necessary to consciously study the inherent relationship between mathematics and philosophy, and dialectically analyze certain phenomenon from the view philosophy.