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ERIC Number: ED573336
Record Type: Non-Journal
Publication Date: 2012-Jul
Pages: 8
Abstractor: As Provided
Reference Count: 15
Coordinating Known and Unknown Quantities in a Multiplicative Context: Problem Conceptualization, Affordances and Constraints
Ramful, Ajay
Mathematics Education Research Group of Australasia, Paper presented at the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (35th, Singapore, Jul 2-6, 2012)
In line with continuing efforts to explain the demanding nature of multiplicative reasoning among middle-school students, this study explores the fine-grained knowledge elements that two pairs of 7th and 8th graders deployed in their attempt to coordinate the known and unknown quantities in the gear-wheel problem. Failure to conceptualize the multiplicative relation in reverse, mainly due to the numeric feature of the problem parameters and inherent inverse proportional relationship, led the students to use more primitive fallback strategies.
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: Speeches/Meeting Papers; Reports - Research
Education Level: Middle Schools; Secondary Education; Junior High Schools; Grade 7; Elementary Education; Grade 8
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: Mathematics Education Research Group of Australasia