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Addition and subtraction by human infants.

¹Department of Psychology, University of Arizona, Tucson 85721.

|August 27, 1992

Summary

Five-month-old infants demonstrate true numerical concepts by calculating arithmetic results. This suggests innate human abilities for number processing and that subitization encodes ordinal information.

Area of Science:

Cognitive Science
Developmental Psychology
Neuroscience

Background:

Infants can discriminate small numbers and determine numerical equivalence across senses.
The nature of subitization (quantifying small numbers without counting) is debated: holistic pattern recognition vs. iterative counting.
Understanding infant numerical cognition sheds light on the origins of mathematical abilities.

Purpose of the Study:

To investigate whether 5-month-old infants possess true numerical concepts.
To determine if infants can perform simple arithmetic operations.
To explore the nature of subitization and its relation to numerical concepts.

Main Methods:

Infants were presented with sequences of visual stimuli involving small numbers.

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The study assessed infants' ability to track and calculate results of arithmetic operations (e.g., addition/subtraction) on these stimuli.

Behavioral responses were analyzed to infer numerical understanding.

Main Results:

5-month-old infants demonstrated the ability to calculate the outcomes of simple arithmetic operations.
Infants' performance indicated they were not merely discriminating quantities but understanding numerical relationships.
Evidence suggests subitization encodes ordinal numerical information.

Conclusions:

Infants possess true numerical concepts from an early age.
Humans appear to be innately endowed with foundational arithmetical abilities.
Subitization is likely an ordinal process, not just pattern recognition.