Developmental change in the acuity of the "Number Sense": The Approximate Number System in 3-, 4-, 5-, and 6-year-olds and adults.
@article{Halberda2008DevelopmentalCI, title={Developmental change in the acuity of the "Number Sense": The Approximate Number System in 3-, 4-, 5-, and 6-year-olds and adults.}, author={Justin Halberda and Lisa Feigenson}, journal={Developmental psychology}, year={2008}, volume={44 5}, pages={ 1457-65 } }
Behavioral, neuropsychological, and brain imaging research points to a dedicated system for processing number that is shared across development and across species. This foundational Approximate Number System (ANS) operates over multiple modalities, forming representations of the number of objects, sounds, or events in a scene. This system is imprecise and hence differs from exact counting. Evidence suggests that the resolution of the ANS, as specified by a Weber fraction, increases with age…
806 Citations
Developmental change in the acuity of approximate number and area representations.
- PsychologyDevelopmental psychology
- 2013
From very early in life, humans can approximate the number and surface area of objects in a scene. The ability to discriminate between 2 approximate quantities, whether number or area, critically…
Continuity and change in children's longitudinal neural responses to numbers.
- PsychologyDevelopmental science
- 2015
The data are consistent with the hypothesis that functional properties of the right IPS in numerical processing are stable over early childhood whereas the functions of the left IPS are dynamically modulated by the development of numerical skills.
The development of number processing and its relation to other parietal functions in early childhood
- Psychology
- 2010
The project has explored the developmental trajectories of several cognitive functions related to different brain regions: parietal cortex (quantity manipulation, finger gnosis, visuo-spatial memory…
Children's intuitive sense of number develops independently of their perception of area, density, length, and time.
- PsychologyDevelopmental science
- 2018
The influence of four non-numeric dimensions - area, density, line length, and time - on ANS development is investigated, exploring the degree to which the ANS develops independently from these other dimensions, from inhibitory control, and from domain-general factors that are shared between these tasks.
Understanding the mapping between numerical approximation and number words: evidence from Williams syndrome and typical development.
- PsychologyDevelopmental science
- 2014
The results suggest that ANS precision is somewhat separable from the mapping between approximate numerosities and number words, as the former can be severely damaged in a genetic disorder without commensurate impairment in the latter.
Dynamic changes in numerical acuity in 4-month-old infants.
- PsychologyInfancy : the official journal of the International Society on Infant Studies
- 2020
The results suggest that Approximate Number System precision develops in early infancy and may be sensitive to intersensory redundancy as early as four months of age.
Moving attention along the mental number-line in preschool age: Study of the operational momentum in 3- to 5-year old children's non-symbolic arithmetic.
- PsychologyDevelopmental science
- 2020
The results support the hypothesis about engagement of spatial attention in early numerical processing, and point to at least partial independence of the spatial-directional and magnitude OM, and undermines the canonical version of the number-line-based hypothesis.
The Developing Mental Number Line: Does Its Directionality Relate to 5- to 7-Year-Old Children’s Mathematical Abilities?
- PsychologyFront. Psychol.
- 2018
Despite some evidence for a negative relation between SNAs and math ability in adulthood, it is argued that the effect here may reflect task demands specific to the magnitude comparison task, not necessarily an impediment of the mental number line to math performance.
Cortical representations of numbers and nonsymbolic quantities expand and segregate in children from 5 to 8 years of age
- Psychology, BiologyPLoS biology
- 2023
A format-independent neural representation of quantity was found in the right parietal cortex, but only for 5-year-olds, consistent with the so-called symbolic estrangement hypothesis, which argues that the relation between symbolic and nonsymbolic quantity weakens with exposure to formal mathematics in children.
Development of magnitude processing in children with developmental dyscalculia: space, time, and number
- PsychologyFront. Psychol.
- 2014
It is concluded that children with DD suffer from a general magnitude-processing deficit, a shared magnitude system likely exists, and a symbolic number- processing deficit in DD tends to be preceded by an ANS deficit.
References
SHOWING 1-10 OF 70 REFERENCES
Six-month-old infants use analog magnitudes to represent duration.
- Psychology, BiologyDevelopmental science
- 2006
Findings that 6-month-old infants are able to discriminate brief durations are reported, and, as with other animal species, their discrimination function is characterized by Weber's Law: proportionate difference rather than absolute difference between stimuli determined successful discrimination.
A common representational system governed by Weber's law: nonverbal numerical similarity judgments in 6-year-olds and rhesus macaques.
- PsychologyJournal of experimental child psychology
- 2006
THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING
- Psychology, BiologyCognitive neuropsychology
- 2003
The horizontal segment of the intraparietal sulcus appears as a plausible candidate for domain specificity: It is systematically activated whenever numbers are manipulated, independently of number notation, and with increasing activation as the task puts greater emphasis on quantity processing.
Brain mechanisms of quantity are similar in 5-year-old children and adults.
- PsychologyProceedings of the National Academy of Sciences of the United States of America
- 1998
The ability to trace the networks of brain areas involved in the learning of school subjects should aid in the design and testing of educational methods.
The development of subitizing in young children
- Psychology
- 1995
Across three experiments, 2- to 5-year-old children were found to enumerate accurately and reliably small arrays of objects irrespective of spatial arrangement and at a duration (200 ms) that…
Time and number discrimination in a bisection task with a sequence of stimuli: a developmental approach.
- Psychology, BiologyJournal of experimental child psychology
- 2003
The development of area discrimination and its implications for number representation in infancy.
- PsychologyDevelopmental science
- 2006
Results suggest that Weber's Law holds for area discriminations in infancy and also reveal that at 6 months of age infants are equally sensitive to number, time and area.
Infants' Discrimination of Number vs. Continuous Extent
- PsychologyCognitive Psychology
- 2002
Infants' lack of a response to number, combined with their demonstrated sensitivity to one or more dimensions of continuous extent, supports the hypothesis that the representations subserving object-based attention, rather than those subserving enumeration, underlie performance in the above tasks.
Discrimination of Large and Small Numerosities by Human Infants
- Psychology
- 2004
Six experiments investigated infants' sensitivity to numerosity in auditory sequences. In prior studies (Lipton &Spelke, 2003), 6-month-old infants discriminated sequences of 8 versus 16 but not 8…
A Magnitude Code Common to Numerosities and Number Symbols in Human Intraparietal Cortex
- Biology, PsychologyNeuron
- 2007