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数学教育現代化の課題（Ⅱ）－ユークリッド幾何をめぐって－
http://hdl.handle.net/10105/2776
http://hdl.handle.net/10105/2776abebc2c7-257d-49d4-83e1-006d434788ae
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
NUE21_2_1-16.pdf (972.8 kB)
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| アイテムタイプ | 紀要論文 / Departmental Bulletin Paper(1) | |||||||
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| 公開日 | 2010-03-19 | |||||||
| タイトル | ||||||||
| タイトル | 数学教育現代化の課題（Ⅱ）－ユークリッド幾何をめぐって－ | |||||||
| 言語 | ||||||||
| 言語 | jpn | |||||||
| 資源タイプ | ||||||||
| 資源タイプ | departmental bulletin paper | |||||||
| 著者 |
小川, 庄太郎
× 小川, 庄太郎
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| 著者(ヨミ) | ||||||||
| 姓名 | オガワ, ショウタロウ | |||||||
| 著者別名 | ||||||||
| 姓名 | OGAWA, Shotaro | |||||||
| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | In this paper, following the previous one, the author made a research about next two subjects on the elementary and junior-high school level : (1) possibility and limitation of axiomatic method, (2) aim and value of geometry teaching. The author's conclusions are as follows. 1. In the ordinary sense, the logical thinking cannot be analogous to the axiomatic method on these levels. Yet, if the meaning of the logical thinking is interpreted more essentially and more widely, and, at the same time, the axiomatic method is modified so that it may be applied to the elementary education, then these two can be integrated into one so that the modernization of geometry teaching may be possible. At this situation "geometric idea" should combine these two. 2. This idea should be accepted as follows: (1) as the principle of pedagogical methodology in the interaction of intuition and logic. (2) as the most typical model of the logical thinking, such as intuition, analogy, deduction, insight and the like, which can be employed in arithmetic, algebra and so on, (3) it should be applied even at the beginning of geometry teaching on elementary level. 3. Though there are difficult problems proper in geometry teaching, we cannot neglect this line of teaching because it is the research of the space in which we live and move. At the end of this paper the author proposed a tentative curriculum of geometry teaching on these levels. In this plan, the followings are fundamental: 1. the teaching for primary grades should be based on children's "firsthand experience". 2. the logical thinking should be introduced through the study of rectangles, 3. the principle in the above-mentioned study might be reconstructed as an axiomatic method, if required on high school level, 4. the subject matter should be exciting for pupils, and the study should be carried out with genuine interest and by their own efforts. | |||||||
| 書誌情報 |
奈良教育大学紀要. 自然科学 巻 21, 号 2, p. 1-16, 発行日 1972-11-15 |
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| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 05472407 | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AN00181070 | |||||||
| 著者版フラグ | ||||||||
| 出版タイプ | VoR | |||||||
| その他のタイトル | ||||||||
| その他のタイトル | Problems on the Modernization of School Mathematics. (Ⅱ)－with special reference to Euclidean geometry－ | |||||||
| 出版者 | ||||||||
| 出版者 | 奈良教育大学 | |||||||
