数学教育における文化的価値に関する研究--日本の数学教育が形をなす時代について Research on cultural value in mathematics education: about the age when the mathematics education of Japan does shape
This paper is a part of "Research on Cultural Value in Mathematics Education". The author has aimed to clarify the problem that the present school mathematics education has by catching the mathematics development as the organic whole, clarifying the culture seen there, and applying this aspect to historical development of the mathematics education of our country. In the process, the following problems have come to the surface. Does the handling of the algebra expression that does the base of high school mathematics really make the best use of cultural value of the algebra expression now? In the preceding paper, it approached a part of details how the algebra expression that does the base of high school mathematics was formed, how it developed, and how our country accepted the European calculation when our country took the European mathematics. In this paper, the focus was applied to the receipt of the European mathematics in the age when the mathematics education of Japan did shape. Especially, the focus was applied to the receipt of the elementary algebra that was the content that which was related to the algebraic representation previously described and related to the secondary education. And it searched for the modality of mathematics and the mathematics education at that time. As a result, the following has been understood. The elementary algebra was digested to Japan through the movement of the mathematics technical term unification, the enhancement of the translation book, and the maintenance of the textbook, etc. in about the middle of the Meiji era. It arrived at "Receipt" of the elementary algebra by completing Japanese original "Textbook" in around 1897. And, it is deeply taken part by there was a tradition of Japanese mathematics "Wasan" in Japan in the process of the "Receipt". In addition, when the process from relations with Japanese mathematics "Wasan" to "Receipt" of arithmetic and the elementary algebra is caught, the process is roughly divided into the next three stages. The first stage: Stage of "Conversion" from expression of Japanese mathematics "Wasan" to expression of West mathematics. The second stage: Stage of "Translation" from original of West mathematics to Japanese. The third stage: Stage of Japanese "Textbook" compilation of original Japanese it. It is future tasks to consider details afterwards of received arithmetic and elementary algebra, and to consider the receipt of other fields of European mathematics to which light has not been applied yet.
数学教育学研究 15(2), 115-127, 2009