Number knowledge and the approximate number system are two critical foundations for early arithmetic development.

2020 ◽  
Vol 112 (6) ◽  
pp. 1167-1182 ◽  
Author(s):  
Stephanie A. Malone ◽  
Kelly Burgoyne ◽  
Charles Hulme
Keyword(s):  
Number System ◽  
Approximate Number System ◽  
Number Knowledge

“Approximate number system” training: A perceptual learning approach

2018 ◽  
Vol 81 (3) ◽  
pp. 621-636 ◽  
Author(s):  
Aaron Cochrane ◽  
Lucy Cui ◽  
Edward M. Hubbard ◽  
C. Shawn Green
Keyword(s):  
Perceptual Learning ◽  
Number System ◽  
Learning Approach ◽  
Approximate Number System

scholarly journals Compromised approximate number system acuity in extremely preterm school-aged children

2013 ◽  
Vol 55 (12) ◽  
pp. 1109-1114 ◽  
Author(s):  
Kerstin Hellgren ◽  
Justin Halberda ◽  
Lea Forsman ◽  
Ulrika Ådén ◽  
Melissa Libertus
Keyword(s):  
Number System ◽  
Approximate Number System ◽  
School Aged Children ◽  
Extremely Preterm

Children’s Approximate Number System in Haptic Modality

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

The number sense does not represent numbers, but cardinality comparisons

2021 ◽  
Vol 44 ◽  
Author(s):  
José Luis Bermúdez
Keyword(s):  
Experimental Evidence ◽  
Number Sense ◽  
Number System ◽  
Rational Numbers ◽  
Approximate Number System

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.

Representation of pure magnitudes in ANS

2021 ◽  
Vol 44 ◽  
Author(s):  
Steven Gross ◽  
William Kowalsky ◽  
Tyler Burge
Keyword(s):  
Number System ◽  
Approximate Number System

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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