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Ulrich, 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
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Ulrich, Catherine – For the Learning of Mathematics, 2015
This is the first 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. My explanation starts with the formation of arithmetical units, which presage…
Descriptors: Mathematics Education, Secondary School Mathematics, High School Students, Constructivism (Learning)
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Arcavi, Abraham; Bruckheimer, Maxim – For the Learning of Mathematics, 1989
A description of De Morgan's life and work is followed with quotations of his thoughts and insights on the teaching and learning of mathematics. The purpose is to illustrate the sharpness of his ideas, his creative insights, and his wit for the enjoyment of the reader. (DC)
Descriptors: Algebra, Arithmetic, Concept Formation, Geometric Concepts