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Fidelman, Uri – For the Learning of Mathematics, 1987
The ontological problem is "what exists?" The answer regarding the part of consciousness which is related to left hemisphere is that only individual discrete objects exist; objects are regarded one at a time. The answer regarding the part of consciousness which is related to right hemisphere is only comprehensive entities exist; each…
Descriptors: Brain Hemisphere Functions, Cognitive Development, Concept Formation, Logic
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Sierpinska, Anna – For the Learning of Mathematics, 1990
Discussed are categorization schema, with elaborations about attendant epistemological obstacles, concerning the twin notions of understanding and comprehension, per se, as well as the processes affecting their attainment. Included is an example of such a schema involving the concept of the limit of a numerical sequence. (JJK)
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Psychology, Concept Formation
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Potari, Despina; Spiliotopoulou, Vasiliki – For the Learning of Mathematics, 1992
Reports a study designed to identify 9 and 11 year olds' ways of drawing nets of solids and to provide opportunities for them to reflect on their models in whole class discussions. Results indicated that children's views of solids' nets progressed from more global and holistic to more quantitative and analytic. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, Concept Formation
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Ball, Deborah Loewenberg – For the Learning of Mathematics, 1988
The constructivist perspective, which holds that children's learning of subject matter is an interaction between what they are taught and what they bring to a learning situation, could be used to improve mathematics teacher education. (PK)
Descriptors: Cognitive Development, College Mathematics, Concept Formation, Elementary School Mathematics
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Bouvier, Alain – For the Learning of Mathematics, 1987
Begins with the assumption that by practicing something one often learns something else. A discussion is presented on the historical and social development of knowledge, the cognitive development of students, the role of teachers, and the meaning of learning situations. (PK)
Descriptors: Cognitive Development, Cognitive Structures, Concept Formation, Elementary School Mathematics
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Monaghan, John – For the Learning of Mathematics, 1991
Presents the portion of a larger study of A-level British students understandings of calculus that deals with ambiguities inherent in the phrases "tends to,""approaches,""converges," and "limit." Responses to two questionnaires indicate that the four phrases generate everyday connotations that are at odds…
Descriptors: Calculus, Cognitive Development, Cognitive Measurement, Concept Formation
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Sutherland, Rosamund – For the Learning of Mathematics, 1991
Discusses concerns for mathematics education research on algebra and requestions methods that focus on the Piagetian concept of cognitive obstacles. Suggests the use of computer-based environments to develop the concept of variable and offers research findings indicating that experiences working with variables in LOGO influences student…
Descriptors: Algebra, Cognitive Development, Cognitive Dissonance, Cognitive Processes