Effects of problem format on division and multiplication performance: division facts are mediated via multiplication-based representations.

Institute of Cognitive Science, Carleton University, Ottawa, Ontario, Canada.
Journal of Experimental Psychology Learning Memory and Cognition (Impact Factor: 3.1). 04/2003; 29(2):163-70. DOI: 10.1037/0278-7393.29.2.163
Source: PubMed

ABSTRACT In 2 experiments participants solved division problems presented in multiplication-based formats (e.g., 8 x _ = 72) more quickly than division problems presented in division-based formats (e.g., 72 / 8 = _). In contrast, participants solved multiplication problems presented in a division-based format (e.g., _ / 8 = 9) slowly and made many errors. In both experiments, the advantage for multiplication-based formats on division problems was found only for large problems (i.e., those with products or dividends greater than 25). These findings provide support for the view that large single-digit division facts are mediated via multiplication-based representations and that multiplication is the primary mode of representation for both division and multiplication facts.

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