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Schmittau, Jean – Focus on Learning Problems in Mathematics, 1993
Discusses Vygotsky's theories about concept formation, his distinctions between everyday and theoretical concepts, and how empirical generalizations can lead to misconceptions. Examines the implications of these theories for mathematics instruction and its relationship to the current mathematics reform. (34 references) (MDH)
Descriptors: Abstract Reasoning, Concept Formation, Educational Change, Elementary Secondary Education
Maksimov, L. K. – Focus on Learning Problems in Mathematics, 1993
Describes a method of teaching the order of mathematical operations based upon the psychological theory of conceptual generalization. (MDH)
Descriptors: Cognitive Development, Computation, Concept Formation, Elementary Education
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
