ERIC Number: EJ737795
Record Type: Journal
Publication Date: 2006-May
Pages: 14
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0022-0965
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Available Date: N/A
The Representation of Multiplication Facts: Developmental Changes in the Problem Size, Five, and Tie Effects
De Brauwer, Jolien; Verguts, Tom; Fias, Wim
Journal of Experimental Child Psychology, v94 n1 p43-56 May 2006
In this study, we investigated the development of basic effects that have been found in single-digit multiplication arithmetic: the problem size, five, and tie effects. Participants (9-,10-, and 11-year-olds and adults) performed a production task on simple multiplication. The procedure replicated Campbell and Graham's (1985) study ["Canadian Journal of Psychology," Vol. 39, pp. 338-366], but the results show that the gradual decrease of the problem size effect ends in sixth grade. We report analyses on raw latencies and state trace analyses that take into account reaction time scaling as a function of age. The results show that 11-year-olds do not differ significantly from adults on any of the three effects. Before 11 years of age, interesting developmental changes occur.
Descriptors: Multiplication, Reaction Time, Child Development, Child Psychology, Arithmetic, Mathematical Concepts, Cognitive Structures, Trend Analysis, Effect Size, Scientific Research
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 4; Grade 5; Grade 6
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A