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"When children are acquiring the symbolic system for representing numbers and learning about math in school, they're tapping into this primitive number sense," says Elizabeth Brannon, a professor of psychology and neuroscience at Duke University, who led the study. "It's the conceptual building block upon which mathematical ability is built." Understanding how infants and young children conceptualize and understand number can lead to the development of new mathematics education strategies, says psychology and neuroscience graduate student Ariel Starr. In particular, this knowledge can be used to design interventions for young children who have trouble learning mathematics symbols and basic methodologies. "Our study shows that infant number sense is a predictor of symbolic math," Brannon says. "We believe that when children learn the meaning of number words and symbols, they're likely mapping those meanings onto pre-verbal representations of number that they already have in infancy," she says. "In fact our infant task only explains a small percentage of the variance in young children's math performance. But our findings suggest that there is cognitive overlap between primitive number sense and symbolic math. These are fundamental building blocks."

A Proposed Framework for Examining Basic Number Sense Two scenarios: Story of a boy adding two-digit numbers and clerk taking 50% off. JSTOR: For the Learning of Mathematics, Vol. 12, No. 3 (Nov., 1992), pp. 2-8, 44

These findings provide evidence that infants have robust abilities to represent large numerosities. In contrast, infants may fail to represent small numerosities in visual-spatial arrays with continuous quantity controls, consistent with the thesis that separate systems serve to represent large versus small numerosities.

Abstract Four experiments investigated infants' sensitivity to large, approximate numerosities in auditory sequences. Prior studies provided evidence that 6-month-old infants discriminate large numerosities that differ by a ratio of 2.0, but not 1.5, when presented with arrays of visual forms in which many continuous variables are controlled. The present studies used a head-turn preference procedure to test for infants' numerosity discrimination with auditory sequences designed to control for element duration, sequence duration, interelement interval, and amount of acoustic energy. Six-month-old infants discriminated 16 from 8 sounds but failed to discriminate 12 from 8 sounds, providing evidence that the same 2.0 ratio limits numerosity discrimination in auditory-temporal sequences and visual-spatial arrays. Nine-month-old infants, in contrast, successfully discriminated 12 from 8 sounds, but not 10 from 8 sounds, providing evidence that numerosity discrimination increases in precision over development, prior to the emergence of language or symbolic counting.