scholarly journals The approximate number system and its relation to early math achievement: Evidence from the preschool years

2013 ◽  
Vol 114 (3) ◽  
pp. 375-388 ◽  
Author(s):  
Justin W. Bonny ◽  
Stella F. Lourenco
2021 ◽  
Author(s):  
Andrew David Ribner ◽  
Melissa Libertus

Math achievement is one of the strongest predictors of later life outcomes, and much of what comprises later math is decided by the time children enter kindergarten. Individual differences in precision of approximate representations of number and mapping between non-symbolic and symbolic number representations predict math achievement and honing these representations improves math skills. The goal of this registered report is to disentangle potential mechanisms of transfer. Approximately 324 preschool-aged children will be assigned to one of three, 5-week computerized, teacher-facilitated training conditions to target their approximate number system, symbolic number skills, and executive function to better understand whether changes in approximate number system acuity, mapping between number representations, or attention to number underlie successful transfer of skill training.


2018 ◽  
Vol 81 (3) ◽  
pp. 621-636 ◽  
Author(s):  
Aaron Cochrane ◽  
Lucy Cui ◽  
Edward M. Hubbard ◽  
C. Shawn Green

2013 ◽  
Vol 55 (12) ◽  
pp. 1109-1114 ◽  
Author(s):  
Kerstin Hellgren ◽  
Justin Halberda ◽  
Lea Forsman ◽  
Ulrika Ådén ◽  
Melissa Libertus

Perception ◽  
2015 ◽  
Vol 45 (1-2) ◽  
pp. 44-55 ◽  
Author(s):  
Fanny Gimbert ◽  
Edouard Gentaz ◽  
Valérie Camos ◽  
Karine Mazens

2021 ◽  
Vol 44 ◽  
Author(s):  
José Luis Bermúdez

Abstract Against Clarke and Beck's proposal that the approximate number system (ANS) represents natural and rational numbers, I suggest that the experimental evidence is better accommodated by the (much weaker) thesis that the ANS represents cardinality comparisons. Cardinality comparisons do not stand in arithmetical relations and being able to apply them does not involve basic arithmetical concepts and operations.


2021 ◽  
Vol 44 ◽  
Author(s):  
Steven Gross ◽  
William Kowalsky ◽  
Tyler Burge

Abstract According to Clarke and Beck (C&B), the approximate number system (ANS) represents numbers. We argue that the ANS represents pure magnitudes. Considerations of explanatory economy favor the pure magnitudes hypothesis. The considerations C&B direct against the pure magnitudes hypothesis do not have force.


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