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ERIC Number: ED260789
Record Type: Non-Journal
Publication Date: 1984-May-31
Pages: 15
Abstractor: N/A
Reference Count: N/A
ISBN: N/A
ISSN: N/A
The Relation between the Cognition of Functions and the Construction of Number.
Davidson, Philip M.
Explored were two issues raised by hypothesizing a direct link between number and functions: the relative contribution of distinct types of functions to numerical reasoning and the contribution of functions relative to the contribution of logic. Seventy-two children between the ages of 5 and 7 years were individually tested on measures of arithmetic operations, number conservation, composition of "extensional" and "intensional" functions, morphisms, class inclusion, class vicariance, and seriation. Three versions of each type of problem were administered, for a total of 24 tasks. All problems employed concrete materials. Performances were videotaped and coded on a six-point scale that took into account response content and quality of justifications and/or strategies. Findings support the general contention of the Piagetian model, i.e., that cognition of functions lays the groundwork for concrete operational cognition. In multiple regression analyses, extensional function ability was found to account for 62 percent of the variance in the measures of overall numerical ability. Intensional logic ability was found to be a significant predictor of all logic concepts tested. It is concluded that results suggest a new interpretation of the relation between number, class, and order, as well as a potential amplification of the Piagetian model which would take account of possibly distinct domains of prelogical and prenumerical functions in early thought. (RH)
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A