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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
Brainerd, Charles J. – 1974
Studies concerned with the synchronous emergence prediction of Piaget's structures-of-the-whole principle are discussed in conjunction with three groups of concrete-operational skills: (1) transitivity/conservation/class inclusion; (2) double classification/double seriation; and (3) ordinal, cardinal, and natural number concepts. Findings show…
Descriptors: Abstract Reasoning, Children, Classification, Cognitive Processes