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ERIC Number: ED573317
Record Type: Non-Journal
Publication Date: 2012-Jul
Pages: 8
Abstractor: As Provided
Reference Count: 18
The Four-Three-Four Model: Drawing on Partitioning, Equivalence, and Unit-Forming in a Quotient Sub-Construct Fraction Task
Mitchell, Annie
Mathematics Education Research Group of Australasia, Paper presented at the Annual Conference of the Mathematics Education Research Group of Australasia (MERGA), (35th, Singapore, July 2-6, 2012)
This paper demonstrates the explanatory power of Kieren's framework for rational number knowing (1988, 1992, 1993, 1995), renamed here the four-three-four model, by describing the different approaches of Grade 6 students to a quotient context task (sharing three or seven custard tarts between five people) using Kieren's terminology of partitioning, equivalence, and unit-forming.
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: Grade 6; Intermediate Grades; Middle Schools; Elementary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: Mathematics Education Research Group of Australasia
Identifiers - Location: Australia