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Graeber, Anna O.; And Others – Journal for Research in Mathematics Education, 1989
Studied were the misconceptions that preservice elementary teachers have about multiplication and division. Results indicated that they are influenced by the same primitive models as students; the most common errors made by both groups are quite similar. (MNS)
Descriptors: Cognitive Structures, College Students, Computation, Concept Formation
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
Dahlberg, Cecilia, Ed. – 1989
This paper describes the BUD project which surveyed childrens' conceptions of division, and of fractions and decimals. The lack of connection between counting skills and conceptual understanding is discussed. The expectations for new algorithms and the basic idea in planning the BUD project are summarized. Some previous studies on counting, the…
Descriptors: Algorithms, Arithmetic, Cognitive Structures, Concept Formation