Number line estimation and numerical magnitude comparison correlate with mathematics achievement (r = .24 to .44), with number line estimation more strongly related in older children¶

Claim · All claims
Evidence · 1 study · review r3 · q3 · i3 large · n=30 meta-analyses, 66 correlations from 13,853 effect sizes (~4.66 million participants)
Currency · newest study 2025 · not yet checked against its sources · not reviewed by a person

Number line estimation correlates r = .44 with mathematics achievement (Schneider et al. 2018, k = 263), symbolic magnitude comparison .30 and nonsymbolic comparison .24 (Schneider et al. 2017). These are correlations compiled across meta-analyses: they describe how strongly the characteristic goes with mathematics achievement, not what causes it.

Subclaims¶

q3 i3 Number line estimation correlates r = .44 with mathematics achievement (Schneider et al. 2018, k = 263), symbolic magnitude comparison .30 and nonsymbolic comparison .24 (Schneider et al. 2017). → Breit et al. 2025

Evidence¶

Breit et al. 2025¶

Breit, M., Schneider, M., & Preckel, F. (2025). Mathematics achievement and learner characteristics: A systematic review of meta-analyses. Learning and Individual Differences, 118, 102621. doi:10.1016/j.lindif.2024.102621

q3 · systematic review of meta-analyses · i3 · large effect, r = .24 to .44 · n=30 meta-analyses, 66 correlations from 13,853 effect sizes (~4.66 million participants) · review · r3

The review compiles zero-order correlations from published meta-analyses (each with at least ten effect sizes, the largest one kept where several covered a variable), found by a systematic PsycINFO search in July 2024. It pools nothing further and controls for nothing: many of these characteristics correlate with one another, so a correlation here says how strongly the characteristic goes with mathematics achievement, not that it causes it. Number line estimation r = .44 (Schneider et al. 2018, k = 263, n = 10,576 children and adolescents, corrected for unreliability), with the correlation larger after age 9 (r = .49) than before age 6 (.30). Symbolic numerical magnitude comparison r = .30 (k = 89), nonsymbolic .24 (k = 195), overall .28 (k = 284, n = 17,201) (Schneider et al. 2017); the magnitude-comparison correlation was smaller in older samples.

Discussion¶

The authors note that these correlations run against the expectation that numerical magnitude skills matter most early in talent development and that they may still help identify mathematics-specific strengths, being somewhat uniquely mathematical where intelligence and self-regulation are not.

Learner Variables¶

• Number Sense — predictor: learners who differ on it differ in outcomes

Related Claims¶

• Mathematics achievement correlates more strongly with learners' knowledge, skills and cognitive abilities than with their personality traits, goals or emotions
• Symbolic numerical magnitude comparison has a more unique association than number line estimation with children's speed on indirect-addition subtraction items — related
• Both numerical magnitude processing tasks correlate positively with arithmetic fact retrieval, more strongly for symbolic — a narrower finding that bears on this claim
• Symbolic number comparison accuracy is the only number sense measure with a significant partial correlation with math — related
• Both symbolic and nonsymbolic magnitude processing correlate with subtraction accuracy, but subtraction speed is associated only with symbolic tasks — related
• The three estimation tasks do not represent the same construct in young children and should not be combined into composites — reports the opposite
• Kindergarten predictors correlate robustly with grade 1 math outcomes, weakest for computation — related
• Number naming and number comparison are better predictors of kindergarten arithmetic than number line estimation — related
• The association between numerical magnitude processing and subtraction is more prominent for items eliciting indirect addition than for direct subtraction items — related
• Arithmetic skill may predict algebra understanding better than fraction conceptual knowledge or magnitude understanding — related
• Fraction magnitude understanding, measured by number line estimation, predicts general mathematics achievement beyond fraction arithmetic skill in 5 of 6 Belgian, Chinese and U.S. grade samples, though not among Chinese 8th graders — a narrower finding that bears on this claim
• Fraction magnitude comparison correlated with general math achievement only in the U.S. samples, indicating number line estimation and magnitude comparison tap partly different aspects of fraction magnitude understanding — a narrower finding that bears on this claim
• Nonsymbolic magnitude comparison is only moderately predictive of future mathematical achievement, and only in kindergarten — related
• Symbolic magnitude comparison is a stronger longitudinal predictor of mathematical achievement than nonsymbolic comparison — related
• A combination of specific mathematical cognition measures predicts subsequent mathematics achievement better than prior mathematics achievement scores alone — related