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For the Learning of…

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Are Mathematical Understanding and Algorithmic Performance Related?

Peer reviewed

Nesher, Pearla – For the Learning of Mathematics, 1986

The conceptual difference between understanding and algorithmic performance is examined first. Then some dilemmas that flow from these distinctions are discussed. (MNS)

Descriptors: Algorithms, Cognitive Processes, Computation, Decimal Fractions

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