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The cost of multiple representations: Learning number symbols with abstract and concrete representations.

2018/10/25 by Amy Bennett, Amy Been Bennett, Matthew Inglis +1 · 3 citations
Mathematics · Social Sciences · Psychology · #Cognitive and developmental aspects of mathematical skills #Mathematics Education and Teaching Techniques #Reading and Literacy Development

paper · doi:10.1037/edu0000318

Abstract

Parents are frequently advised to use number books to help their children learn the\nmeaning of number words and symbols. How should these resources be designed to best\nsupport learning? Previous research has shown that number books typically include multiple\nconcrete representations of number. However, a large body of mathematics education\nresearch has demonstrated that there may be costs, as well as benefits, to using both\nmultiple representations and concrete representations when learning mathematical\nconcepts. Here we used an artificial symbol learning paradigm to explore whether the use of abstract (arrays of dots) or multiple concrete (changing arrays of pictures) numerical representations resulted in better learning of novel numerical symbols by children. Across three experiments we found that children who learned the meaning of novel symbols by pairing them with numerosities represented by arrays of dots performed better on a subsequent symbolic comparison task than those who paired them with multiple concrete representations, or a mixture of abstract and multiple concrete representations. This advantage was not due to abstract representations being inherently superior to concrete representations, but instead to the use of multiple concrete representations. We conclude that the very common practice of using multiple concrete representations in children’s number books may not be the most effective to support children’s early number learning.

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