中学校数学において,生徒が証明の発見機能を活用するための諸条件に関する研究 [in Japanese] Conditions that are Necessary for Lower Secondary School students to Use the Discovery function of Proof [in Japanese]

 宮崎 樹夫 MIYAZAKI Mikio
 信州大学教育学部 Faculty of Education, Shinshu University
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 宮崎 樹夫 MIYAZAKI Mikio
 信州大学教育学部 Faculty of Education, Shinshu University
Abstract
This research examined the conditions that arc necessary for lower secondary school students to use the discovery function (DF) of proof that enables us to make new products (propositions, proofs, conceptions, and assumptions etc.) with proofs. In conclusions, three kinds of conditions are necessary:(a) the condition of an original proof, (b) the conditions of a problem to make products with the original proof, and (c) the conditions of a student's activity to use the DF of original proof. In Section 3, to prepare a theoretical framework, the following two questions were considered:(a) "What is the DF of proof?," (b) "Why should we take the DF seriously?,". Then, the following three viewpoints were specified to discuss how lower secondary school students use the DF: an original proof, a problem to make products with the original proof, activity to use the DF of original proofs. In Section 4, the design of an experiment that observed the activity of two groups of lower secondary school students to use the DF was described. Based on the products, the conditions to use the DF and the need for referencing such conditions on students' activities were discussed in Section 5.
Journal

 Journal of Science Education in Japan

Journal of Science Education in Japan 26(5), 358369, 2002
Japan Society for Science Education
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