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For the Learning of…

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Kieren, Thomas E.	1
Kieren, Tom	1
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Pirie, Susan E. B.	1

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Beyond Metaphor: Formalising in Mathematical Understanding within Constructivist Environments.

Peer reviewed

Pirie, Susan E. B.; Kieren, Thomas E. – For the Learning of Mathematics, 1994

Discusses formalizing in mathematics and provides anecdotal illustrations of formalizing in a constructivist environment, using students aged 12 and 8 involved in fraction work. (Contains 19 references.) (MKR)

Descriptors: Cognitive Development, Constructivism (Learning), Elementary Education, Elementary School Students

A Recursive Theory of Mathematical Understanding.

Peer reviewed

Pirie, Susan; Kieren, Tom – For the Learning of Mathematics, 1989

Analyzes two transcripts of children's mathematical behavior to observe the nature of recursive levels and interrelationships among them. Describes several levels of the recursions. (YP)

Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Fractions