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ERIC Number: EJ1198693
Record Type: Journal
Publication Date: 2018
Pages: 7
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0228-0671
EISSN: N/A
Available Date: N/A
Intuitive and Formal Models of Whole Number Multiplication: Relations and Emerging Structures
Maffia, Andrea; Mariotti, Maria Alessandra
For the Learning of Mathematics, v38 n3 p30-36 2018
Multiplication can be presented to students through different models, each one with its pros and cons. In this contribution we focus on the repeated sum and the array model to investigate the relations between the two models and those between them and multiplication properties. Formal counterparts are presented. Taking both a mathematical and cognitive perspective, we highlight that even at a mathematical structure level the models are different. Relating to literature, we connect differences in the mathematical structure with possible educational difficulties. We conclude that experiencing relations between models is a source of learning about the operation and its structure.
FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: flm2@ualberta.ca; Web site: http://flm.educ.ualberta.ca
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A