The fixation of mathematical education in the feudal clan schools under influences of the Confucianism

一般来说，江户时代的武士不应该学习数学，因为数学被认为是除武士以外的人的日常生活学习。轻视实用的儒家思想影响了这一思想，但事实证明，到德川幕府末期，江户时代所有作为武士教育机构的封建氏族学校中，约有20%开设了数学课程。分为三类：第一类：就连作为高等数学的丹参法，也被列为封建氏族义勇军的教育内容。这种类型是一般的。类型2：它被迫让封建氏族中的所有武士学习基础数学。这种类型的例子有几个。类型3：对从事征税和稻田面积测量等任务的下层武士进行数学教育，甚至丹山法也成为教育内容。但这种类型是罕见的。江户时代的日本数学经历了两次浪潮。一种是用算盘算出来的“实用数学”，另一种是“治学数学”。当武士认识到数学是统治者值得学习的东西时，封建氏族学校的数学教育就被采用了。内容不是除了武士以外的人们使用的实用数学，而是高级的、学术的数学。

Generally, the samurai who was the ruler in the Edo Period should not learn mathematics because mathematics was thought to be the learning of daily life for the people except the samurai. The Confucianism which despised practical use affected this thought.However, it was proved that about 20 % of all the feudal clan schools which were the educational faculties for the samurai in the Edo Period installed mathematical courses by the last days of the Tokugawa Shogunate. They were classified in three types as follows;Type 1: Even the Tenzan method which was an advanced mathematics was made contents of education for the volunteers in the feudal clan. This type was general.Type 2 : It was forced to make fundamental mathematics learn for all the samurai in the feudal clan. There were several instances in this type.Type 3 : Mathematics education was imposed on the lower samurai engaged in the duties such as a tax levy and rice field area measurement, and even the Tenzan method was made contents of education. But this type was rare.Japanese mathematics in the Edo Period had two tides. One was "practical mathematics" which an abacus was used for, and the other was "scholarly mathematics". Mathematical education in the feudal clan schools was adopted when the samurai recognized mathematics as a worthwhile learning for the ruler. The contents were not practical mathematics which the people except the samurai used but were advanced and scholarly mathematics.