One of the purposes of ancient scholars writing books is to educate the world. In the process of popularization and education of mathematical knowledge, Jia Xian paid attention to the abstraction of general solution, generalization of knowledge outline, systematization and training of divergent thinking. From here, we can easily find the flash of his mathematics education thought.
Jia Xian attached importance to the abstraction of general solutions. The reason why he did this should be deeply influenced by China's long-standing educational thought that "it is better to teach people to fish than to teach them to fish".
As far as we know, Nine Chapters of the Yellow Emperor was written around 1050. After the book was published, it was widely circulated in the society and gradually replaced Nine Chapters of Arithmetic to some extent. This is also the recognition of his mathematics education thought by the society at that time. .
This is valuable in the history of ancient mathematics education.
Jia Xian pays attention to the training of divergent thinking. When discussing various problems in Nine Chapters Arithmetic, he did not stick to the ideas and algorithms of his predecessors, but found many new calculation methods. Such as "class division"? "subtraction"? "Art today"? "Comprehensive rate"? Fractionation? Equation technology? "Two shortcomings"? "Pythagoras method" and so on.
It can be seen that Jia Xian not only pays attention to summarizing theoretical research methods, but also devotes himself to the training of divergent thinking, which is of great benefit to the innovation of knowledge.
Nine Chapters of Arithmetic is the most famous mathematical work in China before 1 1 century. During its circulation, many people made notes on it. Three mathematicians have made outstanding contributions to mathematical theory, which is that Liu Hui laid the theoretical foundation? With the improvement of Jia Xian's theory and the basic perfection of Yang Hui's theory, Jia Xian plays a connecting role.
On the other hand, the upsurge of mathematical research in Wei, Jin, Southern and Northern Dynasties was interrupted since the Tang Dynasty. Jia Xian's mathematical methodology stimulated the upsurge of mathematical research in Song and Yuan Dynasties, and he played a role in fueling the situation.