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Operational momentum in multiplication and division?
1Faculty of Life Sciences, Humboldt Universität zu Berlin, Berlin, Germany.
Plos One
|August 15, 2014
Summary
The operational momentum (OM) effect, a bias in numerical cognition, extends to multiplication and division. Adults showed biased responses in non-symbolic scalar operations, overestimating multiplication and underestimating division.
Area of Science:
- Cognitive Psychology
- Numerical Cognition
- Human Behavior
Background:
- Biases are prevalent in numerical cognition.
- The operational momentum (OM) effect demonstrates a bias towards whole numbers in addition and subtraction.
- The existence of OM in other arithmetic operations remained unexplored.
Purpose of the Study:
- To investigate the presence of operational momentum (OM) in scalar arithmetic operations (multiplication and division).
- To examine response biases in both symbolic (Arabic digits) and non-symbolic (dots) formats for multiplication and division.
Main Methods:
- Adult participants performed symbolic and non-symbolic multiplication and division tasks.
- Response bias was measured by analyzing choices among five options after presenting two operands and an operation sign.
- Multiple regression analysis was used to assess the influence of operands on chosen values.
Main Results:
- Participants demonstrated an ability to approximate outcomes for both symbolic and non-symbolic problems, with higher accuracy in symbolic tasks.
- A significant response bias, consistent with OM, was observed in non-symbolic scalar operations.
- Non-symbolic multiplication problems were systematically overestimated, while division problems were underestimated.
Conclusions:
- Operational momentum (OM) is present in non-symbolic multiplication and division.
- The findings suggest an interaction between heuristic biases and approximate calculation, particularly influenced by the relative size of choices.
- This extends the understanding of numerical biases beyond addition and subtraction to scalar operations.
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