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Extracting parity and magnitude from Arabic numerals: developmental changes in number processing and mental
D B Berch1, E J Foley, R J Hill
1U.S. Department of Education, Office of Educational Research and Improvement, Washington, DC 20208, USA. daniel_berch@ed.gov
Journal of Experimental Child Psychology
|December 20, 1999
Summary
Children develop direct memory retrieval for number parity by fourth grade. Even in third grade, they show the Spatial-Numerical Association of Response Codes (SNARC) effect, indicating an innate mental number line.
Area of Science:
- Cognitive Development
- Numerical Cognition
- Developmental Psychology
Background:
- Children's number processing strategies evolve with age.
- The Spatial-Numerical Association of Response Codes (SNARC) effect, linking number magnitude to spatial response codes, is well-documented in adults.
- Understanding the developmental trajectory of numerical cognition is crucial for educational and psychological insights.
Purpose of the Study:
- To investigate the developmental changes in parity judgment strategies in children.
- To examine the emergence and characteristics of the SNARC effect in a child population.
- To determine when children access number magnitude information automatically and how it interacts with linguistic factors.
Main Methods:
- Participants from Grades 2, 3, 4, 6, and 8 (ages 7.8-13.6) performed speeded, bimanual parity judgments on Arabic numerals (0-9).
- Response times were analyzed to differentiate between memory retrieval and calculation strategies.
- The presence and strength of the SNARC effect were assessed across different grade levels.
Main Results:
- From fourth grade onwards, children increasingly retrieved parity information directly from memory, bypassing explicit calculation.
- The SNARC effect was observed as early as third grade, demonstrating an early-formed left-to-right mental number line representation.
- While the SNARC effect was robust in fourth graders, it was attenuated in sixth and eighth graders due to a linguistic effect linking 'even' with 'right' and 'odd' with 'left.'
Conclusions:
- Children develop automatic access to number magnitude information, represented on a mental number line, from an early age.
- Parity judgment strategies shift from calculation to direct memory retrieval during elementary school years.
- Linguistic associations can modulate the SNARC effect in older children, highlighting the interplay between numerical and linguistic processing.