Association between individual differences in non-symbolic number acuity and math performance: a meta-analysis

Area of Science:

• Cognitive Psychology
• Educational Psychology
• Developmental Psychology

Background:

• Number acuity, the non-symbolic estimation of quantities, is increasingly studied for its relation to symbolic math skills.
• Previous research on this association has yielded inconsistent findings, necessitating a comprehensive synthesis.

Purpose of the Study:

• To conduct a meta-analysis evaluating the association between number acuity and symbolic math performance.
• To synthesize results from cross-sectional and longitudinal studies to clarify the relationship.

Main Methods:

• A meta-analysis of 36 cross-sectional studies (N=4705) and longitudinal studies (11 samples) was performed.
• Effect sizes were calculated and potential moderators, including general cognitive abilities, were considered.

Main Results:

• A significant positive correlation (r=0.20) was found between number acuity and math performance in cross-sectional studies.
• Longitudinal analyses indicated number acuity prospectively predicts later math performance (r=0.24) and correlates with early math skills (r=0.17).
• Effect sizes suggest many prior studies were underpowered, potentially explaining discrepancies in the literature.

Conclusions:

• A moderate, statistically significant association exists between number acuity and math performance.
• The findings highlight the importance of number acuity for mathematical development and suggest future research should address power limitations.
• Theoretical and practical implications for education and cognitive science are discussed.