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  • Title: More on the relation between division and multiplication in simple arithmetic: evidence for mediation of division solutions via multiplication.
    Author: LeFevre JA, Morris J.
    Journal: Mem Cognit; 1999 Sep; 27(5):803-12. PubMed ID: 10540809.
    Abstract:
    Adults (N = 32) solved simple multiplication (e.g., 8 x 7) and corresponding division problems (e.g., 56/8). Self-reports of solution processes were given by half of the participants. Latency patterns and error rates were closely related across operations and were similar in self-report and no-report conditions. Solution of division problems, however, facilitated solution of multiplication problems more than the reverse. On large division problems, participants reported that they "recast" problems as multiplication (e.g., 56/8 as 8 x = 56). These results support the hypothesis that multiplication and division are stored in separate mental representations but that solution of difficult division problems sometimes involves access to multiplication.
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