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This study, in which I analyzed students' reasoning with rational numbers expressed as fractions, challenges the view that competent numerical reasoning depends on learning a few general methods from instruction and applying them consistently to solve problems. The results indicate that...
In this article, we examine the hypothesis that problem comprehension and computational processes interact during the solving of an arithmetic word problem. Two experiments tested subjects on a series of addition and subtraction word problems, the content of which varied on the basis of problem...
In this investigation, we analyzed the processes of knowing and interacting in an open-inquiry learning environment that was planned and implemented by teachers who used the metaphor of cognitive apprenticeship as a referent. Based on detailed analyses of students' conversations, we documented...
In this study, we investigated how learning from different media, either from real pulley systems or from simple line diagrams, affected mechanical learning and problem solving. Novice subjects learned about pulley systems by comparing the efficiency of different systems and receiving feedback...
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