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Operational Momentum in Multiplication and Division?

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  • Curren Katz
  • André Knops

Abstract

Biases are commonly seen in numerical cognition. The operational momentum (OM) effect shows that responses to addition and subtraction problems are biased in the whole-number direction of the operation. It is not known if this bias exists for other arithmetic operations. To determine whether OM exists in scalar operations, we measured response bias in adults performing symbolic (Arabic digits) and non-symbolic (dots) multiplication and division problems. After seeing two operands, with either a multiplication (×) or division (÷) sign, participants chose among five response choices. Both non-random performance profiles and the significant contribution of both operands in a multiple regression analysis predicting the chosen values, suggest that adults were able to use numerical information to approximate the outcomes in both notations, though they were more accurate on symbolic problems. Performance on non-symbolic problems was influenced by the size of the correct choice relative to alternatives. Reminiscent of the bias in addition and subtraction, we found a significant response bias for non-symbolic problems. Non-symbolic multiplication problems were overestimated and division problems were underestimated. These results indicate that operational momentum is present in non-symbolic multiplication and division. Given the influence of the size of the correct choice relative to alternatives, an interaction between heuristic bias and approximate calculation is possible.

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  • Curren Katz & André Knops, 2014. "Operational Momentum in Multiplication and Division?," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-10, August.
    • Handle: RePEc:plo:pone00:0104777
    DOI: 10.1371/journal.pone.0104777
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    References listed on IDEAS

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    1. Camilla K. Gilmore & Shannon E. McCarthy & Elizabeth S. Spelke, 2007. "Symbolic arithmetic knowledge without instruction," Nature, Nature, vol. 447(7144), pages 589-591, May.
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    1. Sébastien Czajko & Alexandre Vignaud & Evelyn Eger, 2024. "Human brain representations of internally generated outcomes of approximate calculation revealed by ultra-high-field brain imaging," Nature Communications, Nature, vol. 15(1), pages 1-12, December.

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