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Approximate Number System and Mathematics
, 2019 This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject.
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Contents of the approximate number system
Behavioral and Brain Sciences, 2021Abstract Clarke and Beck argue that the approximate number system (ANS) represents rational numbers, like 1/3 or 3.5. I think this claim is not supported by the evidence. Rather, I argue, ANS should be interpreted as representing natural numbers and ratios among them; and we should view the contents of these representations are genuinely approximate.
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Characteristic numbers and approximation operators in generalized rough approximation system
International Journal of Approximate Reasoning, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bidirectional Mapping Between the Symbolic Number System and the Approximate Number System
Experimental Psychology, 2021Abstract. 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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Non-symbolic and symbolic number and the approximate number system
Behavioral and Brain Sciences, 2021Abstract The distinction between non-symbolic and symbolic number is poorly addressed by the authors despite being relevant in numerical cognition, and even more important in light of the proposal that the approximate number system (ANS) represents rational numbers.
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The approximate number system represents magnitude and precision
Behavioral and Brain Sciences, 2021Abstract 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, 2015The 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, 2023A 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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Acuity of the approximate number system and preschoolers’ quantitative development
Developmental Science, 2014AbstractThe 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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Bidirectional Mapping Between the Symbolic Number System and the Approximate Number System.
Experimental psychology, 2022Previous 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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