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Kaput, James J. – Focus on Learning Problems in Mathematics, 1989
Describes environments for concretely enacting multiplication and division. Discusses difficulties occurring when students use one of the concrete environments to model situations involving modified environments. (YP)
Descriptors: Cognitive Structures, Computer Assisted Instruction, Division, Elementary School Mathematics
Schmittau, Jean – Focus on Learning Problems in Mathematics, 1991
Structure of mathematical concept of multiplication and its integration into conceptual system, with respect to formal and informal aspects of understanding for 10 university students, are investigated through linear scale assessment of examples for prototypical effects and through follow-up interview which included direct explanations of…
Descriptors: Classification, Cognitive Mapping, Cognitive Structures, Comprehension
Tirosh, Dina; Graeber, Anna O. – Focus on Learning Problems in Mathematics, 1990
Discussed are preservice elementary teachers' misconceptions and inconsistent beliefs about multiplication and division with decimals. Sources of inconsistencies and recommendations for overcoming inconsistencies are included. (KR)
Descriptors: Abstract Reasoning, Arithmetic, Cognitive Development, Cognitive Structures
