Generalizing the Nagel line to circumscribed polygons by analogy and constructive defining

This paper first discusses the genetic approach and the relevance of the history of mathematics for teaching, reasoning by analogy, and the role of constructive defining in the creation of new mathematical content. It then uses constructive defining to generate a new generalization of the Nagel...

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Bibliographic Details
Main Author: Michael de Villiers
Format: Article
Language:English
Published: AOSIS 2008-10-01
Series:Pythagoras
Online Access:https://pythagoras.org.za/index.php/pythagoras/article/view/65