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Effects of Age and Instruction on Combinatory Ability in Children

Bibliographic Data

ID9616284
AuthorsEfraim Fischbein (Czech Academy of Sciences, Institute of Psychology), Ileana Pampu (Czech Academy of Sciences, Institute of Psychology), Ion Minzat (Czech Academy of Sciences, Institute of Psychology)
Year1970
Volume40
Issue3
Pages261-270
Publication date1970-11-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueBritish Journal of Educational Psychology (JOURNAL)
Journal identifiersISSN: 0007-0998 • E-ISSN: 2044-8279
PublisherWiley (PUBLISHER • GB)
DOI10.1111/j.2044-8279.1970.tb02131.x
OpenAlexW1964385581
LanguageEN
Citations received2

S ummary . The aim of the study was to investigate the effect of direct instruction on the ability to handle permutations and arrangements, as an example of a problem at the level of formal operations. 60 Bucharest school children, 20 aged 10 years, 20 aged 12 and 20 aged 14, tested individually, were first asked to estimate the number of possible permutations with 3, 4 and 5 objects. Results showed that these subjective estimates improved with age, with a threshold (or marked improvement) at age 12, though there was serious underestimating at all ages. A step‐by‐step teaching strategy using generative ‘tree diagrams’ was then used. Even the 10‐year‐olds learned the use of the tree diagrams and the appropriate procedures for permutations and arrangements

Developmental psychology · Mathematics education · Language Development and Disorders · Psychology

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Unique citing works2
Citations per year0,05
Citation span1982 - 2026 (45)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 2

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