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ERIC Number: EJ994680
Record Type: Journal
Publication Date: 2013
Pages: 27
Abstractor: As Provided
ISSN: ISSN-0737-0008
Supporting Students' Constructions of the Splitting Operation
Norton, Anderson; Wilkins, Jesse L. M.
Cognition and Instruction, v31 n1 p2-28 2013
Previous research has demonstrated the effectiveness of particular instructional practices that support students' constructions of the partitive unit fraction scheme and measurement concepts for fractions. Another body of research has demonstrated the power of a particular mental operation--the splitting operation--in supporting students' development of advanced fractional knowledge and algebraic reasoning. Steffe (2010) has hypothesized that students construct splitting through the unification of partitioning and iterating operations contained within the partitive unit fraction scheme. We used written assessments of 49 students, across sixth and seventh grades, to test this hypothesis. Our results show that students who have constructed a partitive unit fraction scheme go on to construct splitting within a relatively short period of time. Conversely, students who have not constructed a partitive unit fraction scheme generally do not construct splitting. We discuss these results and their implications for designing instruction and curricula that support students' development of algebraic reasoning. (Contains 10 figures, 5 tables and 1 footnote.)
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 6; Grade 7; Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A