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ERIC Number: ED496834
Record Type: Non-Journal
Publication Date: 2005-Jul
Pages: 8
Abstractor: Author
Reference Count: 13
ISBN: N/A
ISSN: N/A
The Duality of Zero in the Transition from Arithmetic to Algebra
Gallardo, Aurora; Hernandez, Abraham
International Group for the Psychology of Mathematics Education, Paper presented at the Conference of the International Group for the Psychology of Mathematics Education (29th, Melbourne, Australia, Jul 10-15, 2005), v3 p17-24
This article shows that the recognition of the dualities in equality (operator-equivalent) of the minus sign (unary-binary) and the zero (nullity-totality) during the transitional process from arithmetic to algebra by 12-13 year-old students constitutes a possible way to achieve the extension of the natural number domain to the integers. (Contains 3 notes.) [For complete proceedings, see ED496848.]
International Group for the Psychology of Mathematics Education. 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Tel: +27-21-715-3559; Fax: +27-88-021-715-3559; e-mail: info@igpme.org; Web site: http://igpme.org
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A