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ERIC Number: EJ884055
Record Type: Journal
Publication Date: 2010
Pages: 9
Abstractor: As Provided
Reference Count: 11
ISBN: N/A
ISSN: ISSN-0020-739X
Relational Understanding and Paths of Reasoning through a Boolean Lattice Classification of Quadrilaterals
Karakonstantis, J.; Patronis, T.
International Journal of Mathematical Education in Science and Technology, v41 n3 p341-349 2010
In this article we study a specific lattice classification of converse quadrilaterals, based on the relations between diagonals. This lattice contains 16 = 2[superscript 4] elements, which form a hypercube, and therefore it is a Boolean lattice. "Complementary" species of quadrilaterals thus appear and may be related in the lattice diagram. We also introduce and study the idea of "paths of reasoning," which may connect distinct species of quadrilaterals in various ways, thus leading to a relational understanding of these concepts. (Contains 4 figures and 1 note.)
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A