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Pasnak, Robert; Kidd, Julie K.; Gadzichowski, Marinka K.; Gallington, Deborah A.; Saracina, Robin P. – Educational Research, 2008
Background: Children ordinarily begin their formal education at the age when the great majority of them are capable of understanding the role of addition and subtraction in changing number. In determining critical differences they can apply the oddity principle--the first "pure" abstraction that children ever develop--understanding that…
Descriptors: Academic Achievement, Numeracy, Achievement Tests, Cognitive Development
Johnson, Judith J.; Chase, Clinton I. – 1971
The literature suggests a "concrete" to "abstract" hierarchy in concept acquisition. However, typical tests do not reflect this hierarchy. Studies have been reported in which an "abstract" option for an item was included in with a "concrete" option and with distractors. This procedure assumes that "abstract" and "concrete" behavior is on a common…
Descriptors: Abstract Reasoning, Academic Achievement, Achievement Tests, Cognitive Ability
BROADBENT, L.A.; SKAGER, R.W. – 1967
OVER 40 ARTICLES AND STUDIES RELATED TO THE PIAGETIAN THEORY OF COGNITIVE DEVELOPMENT ARE CRITICALLY REVIEWED AS A BASIS FOR SUGGESTING APPLICATIONS OF THE THEORY TO EDUCATIONAL EVALUATION. PIAGET'S CONCEPTS ARE ANALYZED WITHIN TWO BROAD CATEGORIES, THE STAGE OF CONCRETE OPERATIONS, FROM APPROXIMATELY SEVEN TO 11 YEARS OF AGE, AND THE STAGE OF…
Descriptors: Achievement Tests, Cognitive Development, Cognitive Measurement, Cognitive Processes
Killough, Charles Kyle – 1971
This study was aimed at providing statistical and experiential descriptive data of value to those concerned with the type of elementary school organizational structure and facility that best serves individualized learning. Test subjects consisted of 70 boys and 62 girls enrolled in or graduated from a nongraded open plan elementary school program…
Descriptors: Academic Achievement, Achievement Gains, Achievement Tests, Analysis of Variance