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Journal ArticleDOI

Subitizing and Counting in Typical and Atypical Development.

Patrick Schleifer, +1 more
- 01 Mar 2011 - 
- Vol. 14, Iss: 2, pp 280-291
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TLDR
Across both experiments a number of factors could be identified that affect enumeration in the subitizing and the counting range differentially and support the assumption of two qualitatively different enumeration processes.
Abstract
Enumeration performance in standard dot counting paradigms was investigated for different age groups with typical and atypically poor development of arithmetic skills. Experiment 1 showed a high correspondence between response times and saccadic frequencies for four age groups with typical development. Age differences were more marked for the counting than the subitizing range. In Experiment 2 we found a discontinuity between subitizing and counting for dyscalculic children; however, their subitizing slopes were steeper than those of typically developing control groups, indicating a dysfunctional subitizing mechanism. Across both experiments a number of factors could be identified that affect enumeration in the subitizing and the counting range differentially. These differential patterns further support the assumption of two qualitatively different enumeration processes.

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Journal ArticleDOI

Developmental Changes in the Profiles of Dyscalculia: An Explanation Based on a Double Exact-and-Approximate Number Representation Model

TL;DR: It is argued that the first deficit shown in DD regards the building of an exact representation of numerical value, thanks to the learning of symbolic numbers, and that the reduced acuity of the approximate number magnitude system appears only later and is secondary to the first deficits.
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Weak task-related modulation and stimulus representations during arithmetic problem solving in children with developmental dyscalculia.

TL;DR: The results show that children with DD not only under-activate key brain regions implicated in mathematical cognition, but they also fail to generate distinct neural responses and representations for different arithmetic problems.
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Visuo-spatial working memory is an important source of domain-general vulnerability in the development of arithmetic cognition.

TL;DR: The results suggest that MD is characterized by a common locus of arithmetic and VSWM deficits at both the cognitive and functional neuroanatomical levels, and advances the understanding of V SWM as an important domain-general cognitive process in both typical and atypical mathematical skill development.
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What basic number processing measures in kindergarten explain unique variability in first-grade arithmetic proficiency?

TL;DR: The findings indicate that children's efficiency to process symbols is important for the development of their arithmetic fluency in Grade 1 above and beyond the influence of non-numerical factors.
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Stability and Change in Markers of Core Numerical Competencies

TL;DR: Subgroups did not differ in processing speed or nonverbal reasoning, suggesting that DE and NC do not tap general cognitive abilities but reflect individual differences specific to the domain of numbers.
References
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TL;DR: A wide variety of data on capacity limits suggesting that the smaller capacity limit in short-term memory tasks is real is brought together and a capacity limit for the focus of attention is proposed.
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Specific reading disability (dyslexia): what have we learned in the past four decades?

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Core systems of number

TL;DR: This work reviews recent behavioral and neuropsychological evidence that these ontogenetically and phylogenetically shared abilities rest on two core systems for representing number, and identifies one system for representing large, approximate numerical magnitudes, and a second system for the precise representation of small numbers of individual objects.
Journal ArticleDOI

Large number discrimination in 6-month-old infants.

TL;DR: Six-month-old infants discriminate between large sets of objects on the basis of numerosity when other extraneous variables are controlled, provided that the sets to be discriminated differ by a large ratio.
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