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Peer reviewedGraeber, 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
Download full textBall, Deborah Loewenberg – 1988
This paper offers a framework for examining the role of subject matter knowledge in the teaching of mathematics. Starting with a brief review of the history of efforts to investigate the role of subject matter knowledge, the paper continues with an in-depth look at what "subject matter knowledge of mathematics" might mean. An approach to…
Descriptors: Concept Formation, Educational Research, Educational Theories, Elementary Education
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
