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Peer reviewed Peer reviewed
ERIC Number: EJ491793
Record Type: CIJE
Publication Date: 1994
Pages: N/A
Abstractor: N/A
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0021-8251
Duality, Ambiguity, and Flexibility: A "Proceptual" View of Simple Arithmetic.
Gray, Eddie M.; Tall, David O.
Journal for Research in Mathematics Education, v25 n2 p116-40 Mar 1994
Discusses duality between process and concept in mathematics, ambiguity of symbolic notation, and flexibility in thought processes of successful students. Content analysis and empirical evidence suggest a qualitatively different kind of mathematical thought in more able compared to less able elementary students (n=72) in arithmetic. (Contains 42 references.) (MKR)
Descriptors: Ambiguity, Arithmetic, Cognitive Processes, Cognitive Style, Concept Formation, Elementary Education, Elementary School Mathematics, Mathematics Education, Mathematics Instruction, Number Concepts, Schemata (Cognition), Symbols (Mathematics), Thinking Skills
Publication Type: Reports - Research; Journal Articles
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: Cognitive Flexibility; Mathematics Education Research; Process Analysis