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Wilson, Patricia S. – Focus on Learning Problems in Mathematics, 1990
Described are inconsistencies, definitions, and examples and their complex relationship which can be used to interpret students' reactions to the geometric tasks used to investigate inconsistencies in student thinking. Discusses the nature of definitions, the value of precise vocabulary, the use and limitations of prototypes, and the power of…
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Dissonance, Cognitive Structures
Sierpinska, Anna – Focus on Learning Problems in Mathematics, 1993
Examines operations of generalization, identification, discrimination, and synthesis in mathematical concept development from early childhood to late adolescence according to Vygotsky's theory of development. (MDH)
Descriptors: Abstract Reasoning, Classification, Cognitive Development, Cognitive Processes