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Possible Associations between Subitizing, Estimation and Visuospatial Working Memory (VSWM) in Children

  • Jesica Formoso (a1), Juan Pablo Barreyro (a2), Silvia Jacubovich (a1) and Irene Injoque-Ricle (a1)
Abstract
Abstract

Researchers have focused on identifying the mechanisms involved in subitizing and its differences with estimation. Some suggest that subitizing relies on a visual indexing system in charge of the simultaneous individuation of objects that is also used by visuospatial working memory (VSWM). In adults, studies found associations between subitizing and VSWM, in the absence of correlation between VSWM and estimation. The present study analyzed the performance of 120 4 and 6-year-old children in three tasks: dot enumeration to measure subitizing capacity, quantity discrimination for estimation, and Corsi Block-tapping task for VSWM. In the enumeration task RTs (F(9, 1062)=720.59, MSE=734394, p<.001, η2=.86) and errors (F(9, 1062)=42.15, MSE=.194, p<.001, η2=.26.) increased with the array, but this growth was statistically significant only from 4 dots onward. Each subject’s subitizing range was estimated by fitting RTs with a sigmoid function of number of dots and obtaining the bend point of the curve. Data fit (age 4: R 2 = .88; SD = .08; age 6: R 2 = .91, SD = .08) showed a mean subitizing range of 2.79 (SD = .66) for 4 year-olds and of 3.11 (SD = .64) for 6 year-olds. Subitizing ranges and average RTs showed low association with storage (r = .274; p < .05; r = –.398; p < .001) and average RTs with concurrent processing (r = –.412; p < .001) in VSWM. Subitizing range and speed showed no association with estimation speed and a poor association with accuracy (r = .234, p < .01; r = –.398, p < .001), which suggests independent systems for small and large quantities. Subitizing and estimation measures correlated with VSWM (p < .01), which suggests that both processes may require VSWM resources.

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*Correspondence concerning this article should be addressed to Jesica Formoso. Instituto de Investigaciones - Facultad de Psicología. Universidad de Buenos Aires – CONICET. Lavalle, 2353. C1425AAM. Ciudad de Buenos Aires (Argentina). E-mail: jformoso@psi.uba.ar
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J. Atkinson , F. W. Campbell , & M. R Francis . (1976). The magic number 4 ± 0: A new look at visual numerosity judgements. Perception, 5, 327334. https://doi.org/10.1068/p050327

A. D. Baddeley , & R. H Logie . (1999). Working memory: The multiple component model. In A. M. P. Shah (Ed.), Models of working memory: Mechanisms of active maintenance and executive control (pp. 2861). New York, NY: Cambridge University Press.

D. C. Burr , M. Turi , & G Anobile . (2010). Subitizing but not estimation of numerosity requires attentional resources. Journal of Vision, 10, 20. https://doi.org/10.1167/10.6.20

N Cowan . (2001). The magical number 4 in short-term memory: A reconsideration of mental storage capacity. Behavioral and Brain Sciences, 24(1), 87114. https://doi.org/10.1017/S0140525X01003922

M. T. H. Chi , & D Klahr . (1975). Span and ratio of apprehension in children and adults. Journal of Experimental Child Psychology, 19, 434439.

S. Dehaene , & J. P Changeux . (1993). Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neuroscience, 5, 390407. https://doi.org/10.1162/jocn.1993.5.4.390

L. Feigenson , S. Dehaene , & E Spelke . (2004). Core systems of number. Trends in Cognitive Sciences, 8, 307314. https://doi.org/10.1016/j.tics.2004.05.002

C. S. Green , & D Bavelier . (2003). Action video game modifies visual selective attention. Nature, 423, 534537. https://doi.org/10.1038/nature01647

J. Halberda , & L Feigenson . (2008). Developmental change in the acuity of the “Number Sense”: The approximate number system in 3-, 4- 5- and 6-year-olds and adults. Developmental Psychology, 44, 14571465. https://doi.org/10.1037/a0012682

M. M. Hannula , P. Räsänen , & E Lehtinen . (2007). Development of counting skills: Role of spontaneous focusing on numerosity and subitizing-based enumeration. Mathematical Thinking and Learning, 9(1), 5157. https://doi.org/10.1080/10986060709336605

D. C. Hyde , N. Winkler-Rhoades , S. A. Lee , V. Izard , K. A. Shapiro , & E. S Spelke . (2011). Spatial and numerical abilities without a complete natural language. Neuropsychologia, 49, 924936. https://doi.org/10.1016/j.neuropsychologia.2010.12.017

A. R Jensen . (1987). Psychometric g as a focus of concerted research effort. Intelligence, 11, 193198. https://doi.org/10.1016/0160-2896(87)90005-5

W. S Jevons . (1871). The power of numerical discrimination. Nature, 3, 281282. https://doi.org/10.1038/003281a0

E. L. Kaufman , M. W. Lord , T. W. Reese , & J Volkmann . (1949). The discrimination of visual number. The American Journal of Psychology, 62, 498525. https://doi.org/10.2307/1418556

D Klahr . (1973). A production system for counting, subitizing, and adding. In W. G. Chase (Ed.), Visual information processing (pp. 527546). New York, NY: Academic Press.

C. Lemer , S. Dehaene , E. Spelke , & L Cohen . (2003). Approximate quantities and exact number words: Dissociable systems. Neuropsychologia, 41, 19421958. https://doi.org/10.1016/s0028-3932(03)00123-4

J. S. Lipton , & E. S Spelke . (2004). Discrimination of large and small numerosities by human infants. Infancy, 5, 271290. https://doi.org/10.1207/s15327078in0503_2

G. D. Logan , & N. J Zbrodoff . (2003). Subitizing and similarity: Toward a pattern-matching theory of enumeration. Psychonomic Bulletin & Review, 10, 676682. https://doi.org/10.3758/BF03196531

G. Mandler , & B. J Shebo . (1982). Subitizing: An analysis of its component processes. Journal of Experimental Psychology: General, 111, 122. https://doi.org/10.1037/0096-3445.111.1.1

S. Mathôt , D. Schreij , & J Theeuwes . (2012). OpenSesame: An open-source, graphical experiment builder for the social sciences. Behavior Research Methods, 44, 314324. https://doi.org/10.3758/s13428-011-0168-7

V. Mazza , & A Caramazza . (2015). Multiple object individuation and subitizing in enumeration: A view from electrophysiology. Frontiers in Human Neuroscience, 9, 162. https://doi.org/10.3389/fnhum.2015.00162

L. T. Miller , & P. A Vernon . (1996). Intelligence, reaction time and working memory in 4- to 6-year-old children. Intelligence, 22, 155190.

D. Odic , M. E. Libertus , L. Feigenson , & J Halberda . (2013). Developmental change in the acuity of approximate number and area representations. Developmental Psychology, 49, 11031112. https://doi.org/10.1037/a0029472

S. Pagano , L. Lombardi , & V Mazza . (2014). Brain dynamics of attention and working memory engagement in subitizing. Brain Research, 1543, 244252. https://doi.org/10.1016/j.brainres.2013.11.025

M. Piazza , A. Fumarola , A. Chinello , & D Melcher . (2011). Subitizing reflects visuo-spatial object individuation capacity. Cognition, 121(1), 147153. https://doi.org/10.1016/j.cognition.2011.05.007

H. Railo , M. Koivisto , A. Revonsuo , & M. M Hannula . (2008). The role of attention in subitizing. Cognition, 107(1), 82104. https://doi.org/10.1016/j.cognition.2007.08.004

S. K. Revkin , M. Piazza , V. Izard , L. Cohen , & S Dehaene . (2008). Does subitizing reflect numerical estimation? Psychological Science, 19, 607614. https://doi.org/10.1111/j.1467-9280.2008.02130.x

J. L. Sebaugh , & P. D McCray . (2003). Defining the linear portion of a sigmoid-shaped curve: Bend points. Pharmaceutical Statistics, 2, 167174.

T. Shimomura , & T Kumada . (2011). Spatial working memory load affects counting but not subitizing in enumeration. Attention, Perception, & Psychophysics, 73, 16941709. https://doi.org/10.3758/s13414-011-0135-5

O. Svenson , & K Sjöberg . (1978). Subitizing and counting processes in young children. Scandinavian Journal of Psychology, 19, 247250. https://doi.org/10.1111/j.1467-9450.1978.tb00327.x

A. Tellegen , & P Briggs . (1967). Old wine in new skins: Grouping Wechsler subtests into new scales. Journal of Consulting Psychology, 31, 499506.

L. M Trick . (2005). The role of working memory in spatial enumeration: Patterns of selective interference in subitizing and counting. Pshyconomic Bulletin & Review, 12, 675681. https://doi.org/10.3758/bf03196757

L. M Trick . (2008). More than superstition: Differential effects of featural heterogeneity and change on subitizing and counting. Perception & Psychophysics, 70, 743760. https://doi.org/10.3758/pp.70.5.743

L. M. Trick , J. T. Enns , & D. A Brodeur . (1996). Life span changes in visual enumeration: The number discrimination task. Developmental Psychology, 32, 925932. https://doi.org/10.1037/0012-1649.32.5.925

L. M. Trick , & Z. W Pylyshyn . (1994). Why are small and large numbers enumerates differently? A limited-capacity preattentive stage in vision. Psychological Review, 101, 80102. https://doi.org/10.1037/0033-295x.101.1.80

P. Vetter , B. Butterworth , & B Bahrami . (2008). Modulating attentional load affects numerosity estimation: Evidence against a pre-attentive subitizing mechanism. PLoS One, 3, e3269. https://doi.org/10.1371/journal.pone.0003269

D. G. Watson , E. A. Maylor , & L. A. M Bruce . (2005). The efficiency of feature-based subitization and counting. Journal of Experimental Psychology. Human Perception and Performance, 31, 14491462. https://doi.org/10.1037/0096-1523.31.6.1449

O. Wilhelm , & K Oberauer . (2006). Why are reasoning ability and working memory capacity related to mental speed? An investigation of stimulus–response compatibility in choice reaction time tasks. European Journal of Cognitive Psychology, 18(1), 1850.

F. Xu , E. S. Spelke , & S Goddard . (2005). Number sense in human infants. Developmental Science, 8, 88101. https://doi.org/10.1111/j.1467-7687.2005.00395.x

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