From “sense of number” to “sense of magnitude”: The role of continuous magnitudes in numerical cognition

T Leibovich, N Katzin, M Harel… - Behavioral and Brain …, 2017 - cambridge.org
In this review, we are pitting two theories against each other: the more accepted theory, the
number sense theory, suggesting that a sense of number is innate and non-symbolic …

Sensory-integration system rather than approximate number system underlies numerosity processing: A critical review

T Gebuis, RC Kadosh, W Gevers - Acta psychologica, 2016 - Elsevier
It is widely accepted that human and nonhuman species possess a specialized system to
process large approximate numerosities. The theory of an evolutionarily ancient …

Children's intuitive sense of number develops independently of their perception of area, density, length, and time

D Odic - Developmental Science, 2018 - Wiley Online Library
Young children can quickly and intuitively represent the number of objects in a visual scene
through the Approximate Number System (ANS). The precision of the ANS–indexed as the …

The symbol grounding problem revisited: A thorough evaluation of the ANS map** account and the proposal of an alternative account based on symbol–symbol …

B Reynvoet, D Sasanguie - Frontiers in psychology, 2016 - frontiersin.org
Recently, a lot of studies in the domain of numerical cognition have been published
demonstrating a robust association between numerical symbol processing and individual …

[書籍][B] An introduction to mathematical cognition

C Gilmore, SM Göbel, M Inglis - 2018 - taylorfrancis.com
The last decade has seen a rapid growth in our understanding of the cognitive systems that
underlie mathematical learning and performance, and an increased recognition of the …

Does the approximate number system serve as a foundation for symbolic mathematics?

E Szkudlarek, EM Brannon - Language Learning and Development, 2017 - Taylor & Francis
In this article we first review evidence for the approximate number system (ANS), an
evolutionarily ancient and developmentally conservative cognitive mechanism for …

Congruency effects in dot comparison tasks: Convex hull is more important than dot area

C Gilmore, L Cragg, G Hogan… - Journal of Cognitive …, 2016 - Taylor & Francis
The dot comparison task, in which participants select the more numerous of two dot arrays,
has become the predominant method of assessing Approximate Number System (ANS) …

A theory of perceptual number encoding.

SF Lourenco, LS Aulet - Psychological Review, 2023 - psycnet.apa.org
There has long been interest in how the mind represents numerical magnitude, particularly
in the absence of symbols. For humans and nonhuman animals, number represents a core …

Attaching meaning to the number words: Contributions of the object tracking and approximate number systems

K vanMarle, FW Chu, Y Mou, JH Seok… - Developmental …, 2018 - Wiley Online Library
Children's understanding of the quantities represented by number words (ie, cardinality) is a
surprisingly protracted but foundational step in their learning of formal mathematics. The …

The precision of map** between number words and the approximate number system predicts children's formal math abilities

ME Libertus, D Odic, L Feigenson… - Journal of Experimental …, 2016 - Elsevier
Children can represent number in at least two ways: by using their non-verbal, intuitive
approximate number system (ANS) and by using words and symbols to count and represent …