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The Splitting Group

Anderson Norton and Jesse L. M. Wilkins 

November 2012, Volume 43, Issue 5, Page 557

Abstract:
Piagetian theory describes mathematical development as the construction and organization of mental operation within psychological structures. Research on student learning has identified the vital roles 2 particular operations—splitting and units coordination—play in students’ development of advanced fractions knowledge. This article demonstrates the utility of modeling students’ development with a structure that is isomorphic to the positive rational numbers under multiplication—the splitting group.

Keywords:
Fractions
Article
Grades 6-8