Numeral comparison, but not quantity enumeration, uniquely accounts for variation in basic calculation fluency¶

Claim · All claims
Evidence · 1 study · associational r2 · q3
Currency · newest study 2014 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q3 i? Numeral comparison efficiency is a significant unique predictor of basic calculation fluency regardless of other factors in the model, while quantity enumeration never is. → Cowan 2014

Evidence¶

Cowan 2014¶

Cowan, R., & Powell, D. (2014). The Contributions of Domain-General and Numerical Factors to Third-Grade Arithmetic Skills and Mathematical Learning Disability. Journal of Educational Psychology, 106(1), 214-229. https://doi.org/10.1037/a0034097

q3 · i? · associational · r2

Fixed-order regression analyses for basic calculation fluency in 258 third graders. Numeral comparison uniquely accounted for 14% of variance when entered with quantity enumeration alone, and remained significant in all models; quantity enumeration was never significant.

"The single digit processing factors differed: numeral comparison was a significant unique predictor whatever other factors were in the model but quantity enumeration never was: Model C-1, numeral comparison (14%, t = 6.82, p < .001) and quantity enumeration (t = 1.84, p = .067)"

Discussion¶

Learner Variables¶

• Operations and Place Value — outcome: instruction changes it

Related Claims¶

• Both number system knowledge and estimation uniquely account for variance in all three third-grade arithmetic skills independently of each other and of domain-general factors — reports the opposite
• Inhibition does not uniquely predict arithmetic fact retrieval above numerical magnitude processing — related
• ANS acuity correlates with later number sets fluency but does not emerge as a unique predictor once symbolic knowledge is controlled — related
• Different domain-general factors uniquely account for variation in different arithmetic skills — related