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The approximate number system represents magnitude and precision

Behavioral and Brain Sciences, 2021
Abstract Numbers are symbols manipulated in accord with the axioms of arithmetic. They sometimes represent discrete and continuous quantities (e.g., numerosities, durations, rates, distances, directions, and probabilities), but they are often simply names.
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Children’s Approximate Number System in Haptic Modality

Perception, 2015
The approximate number system (ANS) is a primitive system used to estimate quantities. It can process quantities in visual and auditory modalities. The aim of the present study was to examine whether ANS can process quantities presented haptically. Moreover, to assess age-related changes, two groups of children (5- and 7-year-olds) were compared.
Gimbert, Fanny   +3 more
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Neurophysiological signatures of approximate number system acuity in preschoolers

Trends in Neuroscience and Education, 2023
A hallmark of the approximate number system (ANS) is ratio dependence. Previous work identified specific event-related potentials (ERPs) that are modulated by numerical ratio throughout the lifespan. In adults, ERP ratio dependence was correlated with the precision of the numerical judgments with individuals who make more precise judgments showing ...
Michal Pinhas   +3 more
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Rational number representation by the approximate number system

Cognition
The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a).
Chuyan, Qu   +3 more
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Children's expectations about training the approximate number system

British Journal of Developmental Psychology, 2015
Humans possess a developmentally precocious and evolutionarily ancient approximate number system ( ANS ) whose sensitivity correlates with uniquely human symbolic arithmetic skills. Recent studies suggest that ANS training improves symbolic arithmetic ...
Moira R. Dillon   +3 more
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Approximate quantities and exact number words: dissociable systems

Neuropsychologia, 2003
Numerical abilities are thought to rest on the integration of two distinct systems, a verbal system of number words and a non-symbolic representation of approximate quantities. This view has lead to the classification of acalculias into two broad categories depending on whether the deficit affects the verbal or the quantity system.
Cathy, Lemer   +3 more
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Bidirectional Mapping Between the Symbolic Number System and the Approximate Number System.

Experimental psychology, 2022
Previous studies have discussed the symmetry of bidirectional mapping between approximate number system (ANS) and symbolic number system (SNS). However, these studies neglected the essential significance of bidirectional mapping in the development of numerical cognition.
Lijuan, Wang   +3 more
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Acuity of the approximate number system and preschoolers’ quantitative development

Developmental Science, 2014
AbstractThe study assessed the relations among acuity of the inherent approximate number system (ANS), performance on measures of symbolic quantitative knowledge, and mathematics achievement for a sample of 138 (64 boys) preschoolers. The Weber fraction (a measure of ANS acuity) and associated task accuracy were significantly correlated with ...
Kristy, van Marle   +3 more
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Mental Numerosity Line in the Human’s Approximate Number System

Experimental Psychology, 2016
Abstract. Previous studies have demonstrated existence of a mental line for symbolic numbers (e.g., Arabic digits). For nonsymbolic number systems, however, it remains unresolved whether a spontaneous spatial layout of numerosity exists. The current experiment investigated whether SNARC-like (Spatial-Numerical Association of Response Codes) effects ...
Xinlin, Zhou   +4 more
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“Approximate number system” training: A perceptual learning approach

Attention, Perception, & Psychophysics, 2018
Recent research suggests that humans perceive quantity using a non-symbolic "number sense." This sense is then thought to provide a foundation for understanding symbolic numbers in formal education. Given this link, there has been interest in the extent to which the approximate number system (ANS) can be improved via dedicated training, as this could ...
Aaron, Cochrane   +3 more
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