著者

柴田 録治 Rokuji Shibata

雑誌

岐阜聖徳学園大学紀要. 教育学部編 = The annals of Gifu Shotoku Gakuen University. Faculty of Education (ISSN:13460889)

巻号頁・発行日

vol.40, pp.1-24, 2001-02-28

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Mathematical objectives of primary school is used to teach multiplication and division of franctions. These operations have its basis in multiplicational facts. We usualy teach it as multiplication table in lower grade without appropriate consciousness of its history. It is important for our better instruction to know sincerely its genesis, its transitions, and the thought, ideas, and reasons why transitions making into development in the multiplication table, and also important to have insight to the nature of mathematics in these historical process. For this purpose, I made clear old chinese multiplication tables with comments on the defference of its earlier one. And made clear Japanese ones influenced by chinese (and others) books till Meiji Era.

著者

柴田 録治 Rokuji Shibata

雑誌

岐阜聖徳学園大学紀要. 教育学部編 = The annals of Gifu Shotoku Gakuen University. Faculty of Education (ISSN:13460889)

巻号頁・発行日

vol.41, pp.65-91, 2002-02-28

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Kuku tables in the old China had changed into New type at the time emerging Mongorian Imperial, that is old type kuku starting from phrase [9・9.81], transited into New type kuku ending at the phrase [9・9.81], which is adopted in China till today. In Japan, Our Kuku tables are affected by these Chinese movements and shows more varieties in kuku types than Chinese. Concerning this, Yoshida Mituyoshi played an important role in our kuku history. To elucidate his work, I summarize the chronological kuku tables with some features of new ages.