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Peer reviewed
Thomas, R. S. D. – For the Learning of Mathematics, 1987
Differences in cognitive structure are approached through consideration of cartesian and non-cartesian knowing. Figuration and configuration are described as two layers of cartesian knowing leading to the third layer, the cognitive structure. Knowing in general is then discussed, with comments on learning in another culture, Botswana. (MNS)
Descriptors: Cognitive Processes, Cross Cultural Studies, Educational Philosophy, Learning
Peer reviewed
Schoenfeld, Alan H. – For the Learning of Mathematics, 1987
How the author moved from concern about research to development of prescriptive models of heuristic problem solving and the exploration of metacognition and belief systems is discussed. Student beliefs about problem solving, and their corollaries, are included. (MNS)
Descriptors: Cognitive Processes, Educational Philosophy, Mathematics Education, Mathematics Instruction
Peer reviewed
Puchalska, Ewa; Semadeni, Zbigniew – For the Learning of Mathematics, 1987
Describes an exploratory investigation of how children reacted to problems with missing, surplus or contradictory data. It was found that the majority of children gave unsatisfactory answers to such problems. (PK)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Information Seeking