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ERIC Number: EJ879664
Record Type: Journal
Publication Date: 2010
Pages: 18
Abstractor: As Provided
Reference Count: 33
ISSN: ISSN-1098-6065
Cognitive and Metacognitive Aspects of Proportional Reasoning
Modestou, Modestina; Gagatsis, Athanasios
Mathematical Thinking and Learning: An International Journal, v12 n1 p36-53 2010
In this study we attempt to propose a new model of proportional reasoning based both on bibliographical and research data. This is impelled with the help of three written tests involving analogical, proportional, and non-proportional situations that were administered to pupils from grade 7 to 9. The results suggest the existence of a multi-component model of proportional reasoning, contributing in this way to the reformulation of the concept. In this model, the components of analogical reasoning, routine proportionality, and meta-analogical awareness take a constitutive part. Thus, proportional reasoning does not coincide exclusively with success in solving a certain restricted range of proportional problems, as routine missing-value and comparison problems (routine proportionality), but it also involves handling verbal and arithmetical analogies (analogical reasoning) as well as the awareness of discerning non-proportional situations (meta-analogical awareness), which is metacognitive in nature. (Contains 2 figures and 6 tables.)
Routledge. Available from: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 7; Grade 8; Grade 9; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Cyprus