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ERIC Number: EJ914121
Record Type: Journal
Publication Date: 2010
Pages: 26
Abstractor: As Provided
Reference Count: 41
ISSN: ISSN-1033-2170
Modelling Problem-Solving Situations into Number Theory Tasks: The Route towards Generalisation
Papadopoulos, Ioannis; Iatridou, Maria
Mathematics Education Research Journal, v22 n3 p85-110 2010
This paper examines the way two 10th graders cope with a non-standard generalisation problem that involves elementary concepts of number theory (more specifically linear Diophantine equations) in the geometrical context of a rectangle's area. Emphasis is given on how the students' past experience of problem solving (expressed through interplay among different modes of thinking and actions that show executive control and decision-making skills) supported them in their route towards generalisation. (Contains 4 figures and 1 table.)
Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 10
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A