Rational number learning aids: transfer from continuous models to discrete models

Abstract

Behr MJ, Wachsmuth I, Post T. Rational number learning aids: transfer from continuous models to discrete models. Focus on learning problems in mathematics. 1998;20(1):63-81.(selected for retrospective reprint from Focus 10(4), 1988, 1- 18) This paper is concerned with how well children who have head instruction about rational number concepts based on a continuous manipulative aid are able to transfer their knowledge to accomplish tasks based on a manipulative aid which can be interpreted as discrete. The aid used was an egg carton which, if the subject views the holes as salient, is discrete; if, on the other hand, the subject focuses on the proportion of total area enclosed by the edges of each of the holes, then it is viewed as a continuous entity

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