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The mental representation of numerical fractions: real or integer?
Mario Bonato1, Sara Fabbri, Carlo Umiltà
1Dipartimento di Psicologia Generale, University of Padova, Italy.
Journal of Experimental Psychology. Human Perception and Performance
|December 19, 2007
Summary
Skilled adults process numerical fractions using component parts, not automatic magnitude access. Flexible strategies, based on integers, help overcome fraction difficulties.
Area of Science:
- Cognitive Psychology
- Mathematics Education
Background:
- Fractions are crucial for representing real numbers, yet their mental processing by adults remains unclear.
- Understanding fraction representation is key to addressing learning difficulties.
Purpose of the Study:
- Investigate how skilled adults mentally represent and process numerical fractions.
- Examine the distance effect and spatial numerical association of response codes (SNARC) for fractions.
Main Methods:
- Four experiments utilized fraction comparison tasks.
- Analyzed the influence of numerical magnitude and adopted strategies on responses.
Main Results:
- Fractions are processed componentially, not by accessing their real numerical value automatically.
- Responses were influenced by component magnitudes (numerators, denominators) and strategies.
- Skilled adults flexibly adapted strategies to experimental contexts.
Conclusions:
- Adult fraction processing relies on discrete integer representations, not continuous real numbers.
- Flexible, strategy-based processing of integer components circumvents difficulties in fraction understanding.
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