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ERIC Number: EJ844823
Record Type: Journal
Publication Date: 2009-Mar
Pages: 18
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0732-3123
Students' Whole Number Multiplicative Concepts: A Critical Constructive Resource for Fraction Composition Schemes
Hackenberg, Amy J.; Tillema, Erik S.
Journal of Mathematical Behavior, v28 n1 p1-18 Mar 2009
This article reports on the activity of two pairs of sixth grade students who participated in an 8-month teaching experiment that investigated the students' construction of fraction composition schemes. A fraction composition scheme consists of the operations and concepts used to determine, for example, the size of 1/3 of 1/5 of a whole in relation to the whole. Students' whole number multiplicative concepts were found to be critical constructive resources for students' fraction composition schemes. Specifically, the "interiorization of two levels of units," a particular multiplicative concept, was found to be necessary for the construction of a "unit fraction composition scheme," while the "interiorization of three levels of units" was necessary for the construction of a "general fraction composition scheme." These findings contribute to previous research on students' construction of fraction multiplication that has emphasized partitioning and conceptualizing quantitative units. Implications of the findings for teaching are considered. (Contains 5 figures.)
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Publication Type: Journal Articles; Reports - Research
Education Level: Grade 6
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A