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Span, Pieter; Overtoom-Corsmit, Ruth – Educational Studies in Mathematics, 1986
Gifted secondary students not only solved problems better, faster, and with less assistance than average pupils, but also processed information in a different fashion. (MNS)
Descriptors: Concept Formation, Educational Research, Information Processing, Mathematics Education
Yackel, Erna; Wheatley, Grayson H. – 1985
This study investigated the problem representations formed by college students while solving mathematics problems. Problem representation characteristics indicative of understanding were identified by analyzing audio-tapes and written work of sixteen subjects, ages 16 to 24, who solved mathematics problems using the think-aloud technique. These…
Descriptors: Cognitive Processes, College Mathematics, Educational Research, Higher Education
Uprichard, A. Edward; Engelhardt, Jon – Focus on Learning Problems in Mathematics, 1986
Future research initiatives on learning and instruction are considered to be of most worth if grounded in general systems theory and if multiple research methods are used. Discussed are an information processing theory and a theory for the structure and structuring of stored information. (MNS)
Descriptors: Cognitive Processes, Concept Formation, Diagnostic Teaching, Educational Research
Romberg, Thomas A.; Collis, Kevin F. – 1983
Findings from five related studies carried out in Tasmania, Australia in 1979-80 are summarized. The first study attempted to determine the memory capacity of a cross-sectional population of children aged 4-7, while the second study was designed to portray differences on a variety of mathematically related developmental tasks for the same…
Descriptors: Addition, Cognitive Ability, Cognitive Processes, Educational Research
Hiebert, James; Carpenter, Thomas P. – 1980
This study investigated: (1) the relationship between the development of information processing capacity and certain Piagetian logical reasoning abilities; and (2) how the development of these cognitive abilities related to acquisition of certain measurement concepts. Forty first-grade children were individually administered tests of conservation…
Descriptors: Cognitive Development, Cognitive Processes, Concept Formation, Conservation (Concept)