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Leinhardt, Gaea; Steele, Michael D. – Cognition and Instruction, 2005
In this article, we analyze the complexity of using instructional dialogues in the teaching of mathematics. We trace a 10-lesson unit on functions and their graphs taught by Magdalene Lampert to a 5th-grade classroom. We use this trace to help analyze and systematize the complexity of the classroom discourse. Analysis shows that Lampert's…
Descriptors: Misconceptions, Mathematics Instruction, Mathematical Concepts, Grade 5
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Okamoto, Yukari – Cognition and Instruction, 1996
Tested three models of children's mathematics word-problem solving based on developmental differences in quantitative conceptual structures: (1) quantitative relations represented as ordered array of mental objects; (2) numbers represented on two tentatively coordinated mental number lines; and (3) numerical operations represented as objects on…
Descriptors: Age Differences, Children, Cluster Analysis, Cognitive Development