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Alcock, Lara; Inglis, Matthew – Educational Studies in Mathematics, 2008
This paper discusses variation in reasoning strategies among expert mathematicians, with a particular focus on the degree to which they use examples to reason about general conjectures. We first discuss literature on the use of examples in understanding and reasoning about abstract mathematics, relating this to a conceptualisation of syntactic and…
Descriptors: Semantics, Number Concepts, Mathematics Instruction, Abstract Reasoning
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Schonfeld, Irvin Sam – Developmental Psychology, 1986
Compares the Genevan and Cattell-Horn theories of intelligence and describes both similarities and differences. Describes a study investigating the relation of the Piagetian operative level to the child's ability to use crystallized solution procedures (aids) in making elementary numerical comparisons. (HOD)
Descriptors: Cognitive Development, Comparative Analysis, Computation, Concept Formation
Wright, Mary J. – 1983
Written for a variety of audiences, this volume describes the University of Western Ontario Preschool Project in sufficient detail to permit its replication; findings of formative and summative program evaluations are reported along with research developing new criterion measures of social competence. Begun in 1973, the program was primarily…
Descriptors: Classification, Cognitive Ability, Comparative Analysis, Compensatory Education