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Updated: Jun 4, 2026

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics (BM-PROMA)
Published on: August 28, 2021
Numerical bias in bounded and unbounded number line tasks
Dale J Cohen1, Daryn Blanc-Goldhammer
1Department of Psychology, University of North Carolina Wilmington, 601 South College Road, Wilmington, NC 28403-5612, USA. cohend@uncw.edu
A new unbounded number line task offers a clearer measure of how adults represent integers. This method reveals distinct strategies and biases compared to traditional bounded tasks, improving our understanding of numerical cognition.
Area of Science:
- Cognitive Psychology
- Developmental Psychology
- Neuroscience
Background:
- The number line task is a standard tool for evaluating integer representation in children and adults.
- Traditional bounded number line tasks possess inherent limitations that can skew results and lead to misinterpretations.
Purpose of the Study:
- To introduce and validate an unbounded number line task as a superior alternative to traditional bounded tasks.
- To investigate the strategies and biases adults employ when representing integers using both bounded and unbounded number line tasks.
Main Methods:
- Experiment 1: Adults completed a traditional bounded number line task to identify their estimation strategies.
- Experiment 2: Adults utilized a novel unbounded number line task to assess their integer representation strategies.
- Analysis of numerical biases and variance in both task formats.
Main Results:
- Adults employed a biased proportion estimation strategy in the bounded number line task.
- A dead-reckoning integer estimation strategy was observed in the unbounded number line task.
- A positively accelerating numerical bias was present in both tasks, but scalar variance was unique to the unbounded task.
Conclusions:
- The unbounded number line task provides a more accurate and less biased measure of integer representation.
- The findings offer preliminary insights into the underlying mechanisms of adults' numerical representation.
- This research refines methodologies for studying numerical cognition and integer representation.
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