Geometric Construction as a Threshold of Proof : The Figure as a Cognitive Tool for Justification

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概要

• 論文の詳細を見る

• Geometric construction is usually considered as the procedure of drawing a figure bounded by a straightedge ruler and a compass. It, however, could be didactical intermediate between a cause-effect and an assumption-conclusion explanation because it is not only a series of systematic activities using only two tools but also mathematical proof of existence in itself. We, therefore, consider it as a educational threshold of proof in system although most mathematics teachers emphasize its procedural aspect. We analyzed the justification of the geometric constructions made by seventh grade students in the classroom lessons in terms of image schema. Image schema was developed for a meaning-making function by Dorfler(1991). It was made available for us to clarify the logical or cognitive base of the students' justification and change of thought. This research finally showed some factors for the transition from construction to proof in geometry.

• 日本教科教育学会の論文

著者

• Okazaki Masakazu

  Joetsu University Of Education

• Okazaki Masakazu

  Joetsu University Of Education.

• Iwasaki Hideki

  International Development And Cooperation At Hiroshima University

関連論文

• SEMIOTIC CHAINING IN A SUBSTANTIAL LEARNING ENVIRONMENT AIMED AT THE TRANSITION FROM ARITHMETIC TO ALGEBRA
• Geometric Construction as a Threshold of Proof : The Figure as a Cognitive Tool for Justification

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