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Inverse reference in subtraction performance: an analysis from arithmetic word problems.
Josetxu Orrantia1, Laura Rodríguez, David Múñez
1Department of Educational and Developmental Psychology, Universidad de Salamanca, Spain. orrantia@usal.es
Quarterly Journal of Experimental Psychology (2006)
|February 17, 2012
Summary
Adults solve subtraction problems more efficiently when the subtrahend precedes the minuend, even in standard subtraction format. This highlights the importance of inverse operations in arithmetic problem-solving.
Area of Science:
- Cognitive Psychology
- Mathematics Education
Background:
- Adults often solve subtraction problems using the inverse operation (addition).
- Presenting subtraction problems in an addition format can improve performance.
- The arrangement of numbers (minuend and subtrahend) may influence this inverse reference.
Purpose of the Study:
- To investigate if the order of minuend and subtrahend affects adults' use of addition to solve subtraction problems.
- To examine this effect regardless of whether the problem is presented in standard subtraction or addition format.
Main Methods:
- Two experiments were conducted using arithmetic word problems.
- Experiment 1 presented subtractions with minuend and subtrahend in a specific order.
- Experiment 2 reversed the order of the minuend and subtrahend.
Main Results:
- Participants performed better when the subtrahend appeared before the minuend.
- This benefit was observed even for problems in standard subtraction format.
- The arrangement of operands significantly impacted performance.
Conclusions:
- The order of operands plays a crucial role in adults' subtraction performance.
- Inverse reference is a key strategy, and its effectiveness is modulated by number arrangement.
- Findings support the influence of number presentation on cognitive arithmetic strategies.
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