November 2012, Vol. 43, Issue 5
The Splitting Group
Anderson Norton and Jesse L. M. Wilkins
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
.
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