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Are 1/2 and 0.5 represented in the same way?
1Achva Academic College, Israel. danaga@bgu.ac.il
Acta Psychologica
|February 20, 2013
Summary
Adults perceive unit fractions similarly to integers, but decimal fractions are processed distinctly. Sequential presentation of unit fractions reduces whole number bias, unlike decimal fractions.
Area of Science:
- Cognitive Psychology
- Numerical Cognition
- Mathematics Education
Background:
- Understanding how adults process numerical information is crucial for educational and cognitive science.
- Fractions, both unit and decimal, present unique challenges in numerical representation and magnitude estimation.
- Previous research indicates varied mental number line representations for different numerical formats.
Purpose of the Study:
- To investigate adults' mental representation of unit and decimal fractions compared to integers.
- To examine the influence of presentation format (simultaneous vs. sequential) on fraction processing.
- To explore the role of component magnitudes and whole number bias in fraction comparison.
Main Methods:
- Adult participants completed a numerical comparison task involving unit fractions, decimal fractions, and integers.
- The task employed both simultaneous and sequential presentation of numerical stimuli.
- Performance metrics, including the distance effect, were analyzed to infer representational strategies.
Main Results:
- Unit fractions were perceived as undifferentiated in magnitude on the same mental number line as integers.
- Decimal fractions were represented in a differentiated manner on the mental number line with integers.
- Sequential processing of unit fractions reduced component representation and whole number bias, unlike decimal fractions.
Conclusions:
- Adults employ distinct representational strategies for unit and decimal fractions.
- The mental representation of fractions is influenced by their format and presentation method.
- Sequential processing may facilitate a more accurate, less biased representation of fractions, particularly unit fractions.
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