Journal for Historical Studies in Mathematical Education
Online ISSN : 2436-6137
Print ISSN : 1347-0221
Articles
Reform process of solid geometry in the secondary school until the “Mathematics 4 and 5, Category II.”
[in Japanese]
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JOURNAL FREE ACCESS

2010 Volume 10 Pages 21-32

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Abstract
The old curriculum in secondary schools was widely revised in wartime and descriptive geometry was adopted into the teaching of solid. Originally, school solid geometry was founded in 1880’s by famous mathematician Dairoku Kikuchi, and descriptive geometry called “Yokiga”, also in 1880’s by a school teacher Sakugoro Hirase. Since then, they had been taught separately in different school subjects of “mathehmatics” and “drawing and arts.” Many mathematics educators had made efforts to take descriptive geometry into the teaching of solid. Their goals vary a little, such as “to make practical geometry,” “to connect with other subjects,” or “to help students work,” but the discussion was not active mainly because the entrance examination of upper schools did not contain solid geometry. The new textbook “Mathematics 4 and 5, Category II” published in wartime, not only took descriptive geometry into the teaching of solid, but also utilized the skills of projection chart. A proof of the conic section was shown by the cross-section of a cone and plane using those skills of projection chart. This was really epoch-making, but our current junior/senior high school curriculum doesn’t have sufficient connection between solid and descriptive geometry.
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© 2010 Japan Society for Historical Studies in Mathematics Education
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