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Concept Formation2
Mathematics Education2
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Novillis, Carol F.1
Star, Jon R.1
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An Analysis of the Fraction Concept into a Hierarchy of Selected Subconcepts and the Testing of the Hierarchical Dependencies
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Novillis, Carol F. – Journal for Research in Mathematics Education, 1976
The fraction concept was analyzed to yield 16 subconcepts which are hypothesized to be hierarchically ordered. This ordering was tested using subjects in grades 4 through 6, and 18 of 23 dependencies hypothesized were confirmed. (SD)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Fractions
Research Commentary: Reconceptualizing Procedural Knowledge
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Star, Jon R. – Journal for Research in Mathematics Education, 2005
In this article, I argue for a renewed focus in mathematics education research on procedural knowledge. I make three main points: (1) The development of students' procedural knowledge has not received a great deal of attention in recent research; (2) one possible explanation for this deficiency is that current characterizations of conceptual and…
Descriptors: Mathematics Education, Concept Formation, Scientific Methodology, Sequential Learning