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In this article, we identify ways that Grice's (1975) conversational rules and P. Brown and Levinson's (1987) politeness strategies are commonly employed in one-to-one tutoring interactions. We examined two cross-aged tutoring corpora from research methods and algebra tutoring sessions to show...
How children invent a counting-on from the larger addend (COL) strategy is un-clear. An effort to understand how a child classified as mentally handicapped devised this strategy has suggested a plausible developmental mechanism. The child appeared to master the n + 1 combinations just before the...
Previous research has found positive correlations between particular strategies students use while studying to explain instructional materials to themselves and student performance on associated problem-solving tasks (Chi, Bassok, Lewis, Reimann, & Glaser, 1989; Pirolli & Bielaczyc, 1989;...
Two experiments examined the role of representations of numerosity in children's reasoning about relations between two quantities. In the first experiment, 3- and 4-year-old children were able to solve matching-to-sample problems on the basis of both the numerosity of a focal set (number...
In this article, I discuss children's design of mathematical representations on paper, asking how material displays are constructed and transformed in activity. I show that (a) the design of displays during problem solving shapes one's mathematical activity and sense making in crucial ways, and...
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