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ERIC Number: EJ911336
Record Type: Journal
Publication Date: 2010-Dec
Pages: 14
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0732-3123
Students' Partitive Reasoning
Norton, Anderson; Wilkins, Jesse L. M.
Journal of Mathematical Behavior, v29 n4 p181-194 Dec 2010
In building models of students' fractions knowledge, two prominent frameworks have arisen: Kieren's rational number subconstructs, and Steffe's fractions schemes. The purpose of this paper is to clarify and reconcile aspects of those frameworks through a quantitative analysis. In particular, we focus on the measurement subconstruct and the partitive fraction scheme, as well as the role splitting operations play in their construction. Our findings indicate a strong connection between students' measurement conceptions and their construction of partitive unit fraction schemes. On the other hand, generalizing the partitive unit fraction scheme to partitive reasoning with non-unit fractions seems to require conceptions that exceed most researchers' descriptions of measurement. Such a generalization also seems to require mental operations beyond splitting. (Contains 10 tables and 4 figures.)
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A