Numerosity but not texture-density discrimination correlates with math ability in children.

Considerable recent work suggests that mathematical abilities in children correlate with the ability to estimate numerosity. Does math correlate only with numerosity estimation, or also with other similar tasks? We measured discrimination thresholds of school-age (6- to 12.5-years-old) children in 3 tasks: numerosity of patterns of relatively sparse, segregatable items (24 dots); numerosity of very dense textured patterns (250 dots); and discrimination of direction of motion. Thresholds in all tasks improved with age, but at different rates, implying the action of different mechanisms: In particular, in young children, thresholds were lower for sparse than textured patterns (the opposite of adults), suggesting earlier maturation of numerosity mechanisms. Importantly, numerosity thresholds for sparse stimuli correlated strongly with math skills, even after controlling for the influence of age, gender and nonverbal IQ. However, neither motion-direction discrimination nor numerosity discrimination of texture patterns showed a significant correlation with math abilities. These results provide further evidence that numerosity and texture-density are perceived by independent neural mechanisms, which develop at different rates; and importantly, only numerosity mechanisms are related to math. As developmental dyscalculia is characterized by a profound deficit in discriminating numerosity, it is fundamental to understand the mechanism behind the discrimination. (PsycINFO Database Record

[1]  Robert Tibshirani,et al.  An Introduction to the Bootstrap , 1994 .

[2]  David C. Burr,et al.  Separate Mechanisms for Perception of Numerosity and Density , 2014, Psychological science.

[3]  M. Noël,et al.  Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing , 2007, Cognition.

[4]  Bertrand Thirion,et al.  Deciphering Cortical Number Coding from Human Brain Activity Patterns , 2009, Current Biology.

[5]  D H Brainard,et al.  The Psychophysics Toolbox. , 1997, Spatial vision.

[6]  Emmy Defever,et al.  The Approximate Number System is not Predictive for Symbolic Number Processing in Kindergarteners , 2014, Quarterly journal of experimental psychology.

[7]  S. T. Buckland,et al.  An Introduction to the Bootstrap. , 1994 .

[8]  David C. Burr,et al.  Vision senses number directly , 2009 .

[9]  Christian Agrillo,et al.  Individual differences in non-symbolic numerical abilities predict mathematical achievements but contradict ATOM , 2013, Behavioral and Brain Functions.

[10]  Guido Marco Cicchini,et al.  Mechanisms for perception of numerosity or texture-density are governed by crowding-like effects. , 2015, Journal of vision.

[11]  Ariel Starr,et al.  Developmental Continuity in the Link Between Sensitivity to Numerosity and Physical Size , 2015, J. Numer. Cogn..

[12]  Daniel Ansari,et al.  How do symbolic and non-symbolic numerical magnitude processing skills relate to individual differences in children's mathematical skills? A review of evidence from brain and behavior , 2013, Trends in Neuroscience and Education.

[13]  Melissa E. Libertus,et al.  Preschool acuity of the approximate number system correlates with school math ability. , 2011, Developmental science.

[14]  F. Kingdom,et al.  A common visual metric for approximate number and density , 2011, Proceedings of the National Academy of Sciences.

[15]  J. Bulthé,et al.  Format-dependent representations of symbolic and non-symbolic numbers in the human cortex as revealed by multi-voxel pattern analyses , 2014, NeuroImage.

[16]  P. Hurks,et al.  Time Estimation Deficits in Childhood Mathematics Difficulties , 2014, Journal of learning disabilities.

[17]  D. C. Burr,et al.  Adaptation to number operates on perceived rather than physical numerosity , 2016, Cognition.

[18]  A. Watson,et al.  Quest: A Bayesian adaptive psychometric method , 1983, Perception & psychophysics.

[19]  Steven C Dakin,et al.  Number and density discrimination rely on a common metric: Similar psychophysical effects of size, contrast, and divided attention. , 2012, Journal of vision.

[20]  Daniel Ansari,et al.  The role of the left intraparietal sulcus in the relationship between symbolic number processing and children's arithmetic competence , 2012, Developmental Cognitive Neuroscience.

[21]  Steven C. Dakin,et al.  A texture-processing model of the ‘visual sense of number’ , 2014, Proceedings of the Royal Society B: Biological Sciences.

[22]  S. Dehaene,et al.  Mathematical difficulties in developmental coordination disorder: Symbolic and nonsymbolic number processing. , 2015, Research in developmental disabilities.

[23]  Guido Marco Cicchini,et al.  Number As a Primary Perceptual Attribute: A Review , 2016, Perception.

[24]  S. Dehaene,et al.  A Magnitude Code Common to Numerosities and Number Symbols in Human Intraparietal Cortex , 2007, Neuron.

[25]  David C Burr,et al.  Visual sustained attention and numerosity sensitivity correlate with math achievement in children. , 2013, Journal of experimental child psychology.

[26]  Ewen Callaway,et al.  Dyscalculia: Number games , 2013, Nature.

[27]  Manuela Piazza,et al.  Neural foundations and functional specificity of number representations , 2016, Neuropsychologia.

[28]  Daniel Ansari,et al.  Developmental Cognitive Neuroscience Developmental Specialization of the Left Parietal Cortex for the Semantic Representation of Arabic Numerals: an Fmr-adaptation Study , 2022 .

[29]  Guilherme Wood,et al.  In How Many Ways is the Approximate Number System Associated with Exact Calculation? , 2014, PloS one.

[30]  D. Burr,et al.  A Visual Sense of Number , 2007, Current Biology.

[31]  Daniel Ansari,et al.  Qualitatively different coding of symbolic and nonsymbolic numbers in the human brain , 2015, Human brain mapping.

[32]  Eriko Matsumoto,et al.  Numerosity underestimation in sets with illusory contours , 2016, Vision Research.

[33]  Justin Halberda,et al.  Links Between the Intuitive Sense of Number and Formal Mathematics Ability. , 2013, Child development perspectives.

[34]  Davide Martino,et al.  Temporal Abnormalities in Children With Developmental Dyscalculia , 2012, Developmental neuropsychology.

[35]  Justin Halberda,et al.  Individual differences in non-verbal number acuity correlate with maths achievement , 2008, Nature.

[36]  M. Morrone,et al.  BOLD response to spatial phase congruency in human brain. , 2008, Journal of vision.

[37]  Justin Halberda,et al.  Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia). , 2011, Child development.

[38]  Frank H. Durgin,et al.  Texture density adaptation and the perceived numerosity and distribution of texture. , 1995 .

[39]  Gavin R. Price,et al.  Numerical predictors of arithmetic success in grades 1-6. , 2014, Developmental science.

[40]  Guido Marco Cicchini,et al.  Spontaneous perception of numerosity in humans , 2016, Nature Communications.

[41]  Philippe Pinel,et al.  Tuning Curves for Approximate Numerosity in the Human Intraparietal Sulcus , 2004, Neuron.

[42]  Marco Zorzi,et al.  Emergence of a 'visual number sense' in hierarchical generative models , 2012, Nature Neuroscience.

[43]  B. P. Klein,et al.  Topographic Representation of Numerosity in the Human Parietal Cortex , 2013, Science.

[44]  Brian Butterworth,et al.  Foundational numerical capacities and the origins of dyscalculia , 2010, Trends in Cognitive Sciences.

[45]  Jun Zhang,et al.  Connectedness affects dot numerosity judgment: Implications for configural processing , 2009, Psychonomic bulletin & review.

[46]  Pierre Pica,et al.  Education Enhances the Acuity of the Nonverbal Approximate Number System , 2013, Psychological science.

[47]  Manuela Piazza,et al.  Neurocognitive start-up tools for symbolic number representations , 2010, Trends in Cognitive Sciences.

[48]  Justin Halberda,et al.  Is Approximate Number Precision a Stable Predictor of Math Ability? , 2013, Learning and individual differences.

[49]  G. Orban,et al.  Parietal Representation of Symbolic and Nonsymbolic Magnitude , 2003, Journal of Cognitive Neuroscience.

[50]  D. Burr,et al.  Time, number and attention in very low birth weight children , 2015, Neuropsychologia.

[51]  David C. Burr,et al.  A generalized sense of number , 2014, Proceedings of the Royal Society B: Biological Sciences.

[52]  M. Morrone,et al.  BOLD human responses to chromatic spatial features , 2013, The European journal of neuroscience.

[53]  G. Alvarez,et al.  Number estimation relies on a set of segmented objects , 2009, Cognition.

[54]  F. Durgin Texture density adaptation and visual number revisited , 2008, Current Biology.

[55]  S. Dehaene,et al.  The Number Sense: How the Mind Creates Mathematics. , 1998 .

[56]  D. Burr,et al.  Children with autism spectrum disorder show reduced adaptation to number , 2015, Proceedings of the National Academy of Sciences.

[57]  Marinella Cappelletti,et al.  Time Processing in Dyscalculia , 2011, Front. Psychology.

[58]  Qixuan Chen,et al.  Association between individual differences in non-symbolic number acuity and math performance: a meta-analysis. , 2014, Acta psychologica.

[59]  C. Cornoldi,et al.  Matrici Progressive di Raven Forma Colore (CPM-47). Manuale d’uso e standardizzazione italiana , 2008 .

[60]  Tiangang Zhou,et al.  Topology-defined units in numerosity perception , 2015, Proceedings of the National Academy of Sciences.

[61]  Melissa E. Libertus,et al.  Compromised approximate number system acuity in extremely preterm school‐aged children , 2013, Developmental medicine and child neurology.

[62]  Brian Butterworth,et al.  Discrete and analogue quantity processing in the parietal lobe: a functional MRI study. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[63]  Andrea Facoetti,et al.  Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia , 2010, Cognition.

[64]  S. Dehaene,et al.  THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING , 2003, Cognitive neuropsychology.

[65]  Steven C. Dakin,et al.  Sensitivity to numerosity is not a unique visuospatial psychophysical predictor of mathematical ability , 2013, Vision Research.

[66]  D. LeBihan,et al.  Modulation of Parietal Activation by Semantic Distance in a Number Comparison Task , 2001, NeuroImage.