Japanese | English

トップページへ戻る

詳細

   
フルテキストURLフルテキストリンクなし
タイトル図形指導における数学的推論の課題 (I)
タイトルヨミズケイ シドウ ニオケル スウガクテキ スイロン ノ カダイ 1
タイトル別表記The Problems of Mathematical Reasoning on Teaching Geometry
作成者岩崎, 秀樹
作成者ヨミイワサキ, ヒデキ
作成者別表記Iwasaki, Hideki
作成者所属山口大学教育学部
内容記述(抄録等)Proof has two aspects in the from of thinking. Plato said that one is synthesis which goes asendently in cognition, and the other is analysis which goes descently. Methematical reasoning is the key concept of new teaching gemetry of grade 7. It is clarified when we compare a new text with old one and research into the mathematical course of study. Mathematical reasoning has two educational problems. One is the Necessity of deduction and the other is the strictness of deducion. Philosophical ambiguity of the proof corresponds with two problems of mathematical reasoning. We can conprehend the problem of the necessity of deduction in the light of synthesis and the strictness of deduction in light of analysis. Necessity and Strictnss of deduction are logically interrelated and dependent upon each other in the content of teaching geometry. Locally axiomatic, which is proposed by Freudenthal, H. and Schuster, S. independently, is considered as the point of view which integrates the necessity and strictness of deduction. The problems of mathematical reasoning are oriented to solutions in the terms of locally axiomatic.
本文言語jpn
主題数学
資料タイプtext
出版者山口大学教育学部
出版者ヨミヤマグチ ダイガク キョウイク ガクブ
NII資料タイプ紀要論文
ISSN0286-0597
NCIDAN00240238
学内刊行物(紀要等)山口大学教育学部研究論叢(第3部)
掲載誌名研究論叢. 芸術・体育・教育・心理
掲載誌名別表記Bulletin of the Faculty of Education, Yamaguchi University
34
開始ページ97
終了ページ108
発行日1985-01
著者版/出版社版その他
リポジトリIDC010034000308
地域区分山口大学
URIhttp://www.lib.yamaguchi-u.ac.jp/yunoca/handle/C010034000308