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Wittwer, Jorg; Nuckles, Matthias; Renkl, Alexander – Instructional Science: An International Journal of the Learning Sciences, 2008
Although prior research has shown that experts tend to overestimate or underestimate what laypersons actually know, little is known about the specific consequences of biased estimations for communication. To investigate the impact of biased estimations of a layperson's knowledge on the effectiveness of experts' explanations, we conducted a…
Descriptors: Knowledge Level, Misconceptions, Lay People, Bias
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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
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Davis, Robert B. – Arithmetic Teacher, 1991
Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Computation
Funkhouser, Charles – 1990
The major perspectives on problem solving of the twentieth century are reviewed--associationism, Gestalt psychology, and cognitive science. The results of the review on teaching problem solving and the uses of computers to teach problem solving are included. Four major issues related to the teaching of problem solving are discussed: (1)…
Descriptors: Algorithms, Artificial Intelligence, Cognitive Structures, Computation