The history of geometry teaching in secondary schools in the Taisyo and the Syowa era.

大正、昭和时代中学几何教学史.

• 批准号: 09680279
• 负责人: YAMAMOTO Shinya
• 金额: $ 1.47万
• 依托单位: Kumamoto University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09680279/
• 关键词: P.Treutlein; geometry teaching; Toukurou Kunimoto; die Geometrische Anschauungsunterricht; 日本中等教育数学会; 旧制中学校; 大正・昭和初期; 数学教育史; 国元東九郎; D.Treutlein; 学校数学; 数学教育

Our research activities in this project are as follows1) Making of a database of the articles on mathematics education published in "Journal of the Mathematical Association of Japan for Secondary Education", "Mathematics Education" (Sugaku Kyoiku, 1930-1940) and "School Mathematics"(Gakkou Sugaku, 1930-1940).2) Collecting of all the mathematics textbooks edited by the attached middle schools to Tokyo Higher Normal School and to Hiroshima Higher Normal School3) Collecting of the official regulations related to secondary mathematics education in Japan from 1886 to 1945.4) Collecting of the articles concerning P.Treutlein (1845-1912) stored at the main university libraries in JapanP.Treutlein (1845-1912)'s Die geometrische Anschauungsunterricht als Unterstufe eines zweistufigen geometrischen Unterrichts an unseren hohereu Schulen, which was translated into Japanese in 1920, had a great influence on the reform of geometry teaching in Japan. In order to know what influence Treutlein had on geometry teaching in secondary school of Japan, we examined Chokkan Kika Kyonjyu (Intuitive Geometry Teaching, 1925) of Toukurou Kunimoto (1895-1985), who constructed the new curriculum of geometry teaching strongly influenced by Treulein. Our examination shows that there is a difference between Treutlein and Kunimoto in the idea of "geometry " as mathematical discipline. Kunimoto's Chokkan Kika Kyoujyu is a modified geometry teaching of "die geometrische Anschauungsunterricht"

1)建立发表在《日本中学数学协会期刊》、《数学教育》(Sugaku Kyoiku，1930-1940)和《学校数学》(Gakou Sugaku，(2)东京高等师范学校和广岛高等师范学校附中所编全部数学教科书的收集(1945.4-1940)；(3)1886年至1945年日本有关中学数学教育的官方规章的收集(1845年-1912年)；(3)日本主要大学图书馆收藏的有关P.Treutlein(1945.4-1912年)的文章的收集；为了了解Treutlein对日本中学几何教学的影响，我们考察了Toukurou Kuimoto(1895-1985)的Chokkan Kika Kyonjyu(直觉几何教学，1925)，他构建了受到Treulein强烈影响的几何教学新课程。我们的考察表明，Treutlein和Kurimoto在将几何作为数学学科的思想上存在差异。库尼本的Chokkan Kika Kyoujyu是一种改进的几何教学方法--《几何分析》

项目成果

J.Itoh&M.Tanaka: "The dimension of a cut locus on a smooth Riemanniun Manideld" Tohoku Mathematical Journal. (発表予定).

J.Itoh&M.Tanaka：“光滑 Riemanniun Manideld 上切割轨迹的维数”东北数学杂志（待出版）。

Yamamoto, S.: "On Luftkoerper in die Geometrische Anschauungsunterricht" Proceedings of the 30th annual meeting of Japan Society of Mathematics Education. 361-366 (1998)

Yamamoto, S.：“On Luftkoerper in die Geometrische Anschauungsunterricht”日本数学教育学会第 30 届年会记录。

伊藤仁一: "The dimension of a cutlocus on a smooth riemannian manifeld" Tohoku Math.J.50. 571-575 (1998)

Jinichi Ito：“光滑黎曼曼尼菲尔德上切迹的维数”Tohoku Math.J.50 (1998)。

Itou, J.: "The dimension of a cutlocus on a smooth riemannian Manifold" Tohoku Math.J.571-575 (1998)

Itou, J.：“光滑黎曼流形上切迹的维数”Tohoku Math.J.571-575 (1998)

山本信也: "トロイトラインの「幾何学的直観教授」-「新図形の構成」の内容と意議-" 第30回数学教育論文発表会論文集. 361-366 (1997)

Shinya Yamamoto：“Treutline 的‘几何直觉教授’ - 第 30 届数学教育论文演示文稿‘新几何构造’的内容和讨论。361-366 (1997)