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Direct linkUlrich, Catherine – For the Learning of Mathematics, 2016
This is the second of a two-part article that presents a theory of unit construction and coordination that underlies radical constructivist empirical studies of student learning ranging from young students' counting strategies to high school students' algebraic reasoning. In Part I, I discussed the formation of arithmetical units and composite…
Descriptors: Young Children, High School Students, Arithmetic, Algebra
Norton, Anderson; Wilkins, Jesse L. M. – Journal for Research in Mathematics Education, 2012
Piagetian theory describes mathematical development as the construction and organization of mental operations within psychological structures. Research on student learning has identified the vital roles of two particular operations--splitting and units coordination--play in students' development of advanced fractions knowledge. Whereas Steffe and…
Descriptors: Numbers, Psychology, Piagetian Theory, Grade 8
