Literature DB >> 22733748

Number sense across the lifespan as revealed by a massive Internet-based sample.

Justin Halberda1, Ryan Ly, Jeremy B Wilmer, Daniel Q Naiman, Laura Germine.   

Abstract

It has been difficult to determine how cognitive systems change over the grand time scale of an entire life, as few cognitive systems are well enough understood; observable in infants, adolescents, and adults; and simple enough to measure to empower comparisons across vastly different ages. Here we address this challenge with data from more than 10,000 participants ranging from 11 to 85 years of age and investigate the precision of basic numerical intuitions and their relation to students' performance in school mathematics across the lifespan. We all share a foundational number sense that has been observed in adults, infants, and nonhuman animals, and that, in humans, is generated by neurons in the intraparietal sulcus. Individual differences in the precision of this evolutionarily ancient number sense may impact school mathematics performance in children; however, we know little of its role beyond childhood. Here we find that population trends suggest that the precision of one's number sense improves throughout the school-age years, peaking quite late at ∼30 y. Despite this gradual developmental improvement, we find very large individual differences in number sense precision among people of the same age, and these differences relate to school mathematical performance throughout adolescence and the adult years. The large individual differences and prolonged development of number sense, paired with its consistent and specific link to mathematics ability across the age span, hold promise for the impact of educational interventions that target the number sense.

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Mesh:

Year:  2012        PMID: 22733748      PMCID: PMC3396479          DOI: 10.1073/pnas.1200196109

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  33 in total

1.  Where cognitive development and aging meet: face learning ability peaks after age 30.

Authors:  Laura T Germine; Bradley Duchaine; Ken Nakayama
Journal:  Cognition       Date:  2010-12-03

2.  Exact and approximate arithmetic in an Amazonian indigene group.

Authors:  Pierre Pica; Cathy Lemer; Véronique Izard; Stanislas Dehaene
Journal:  Science       Date:  2004-10-15       Impact factor: 47.728

3.  One, two, three, four, nothing more: an investigation of the conceptual sources of the verbal counting principles.

Authors:  Mathieu Le Corre; Susan Carey
Journal:  Cognition       Date:  2007-01-08

4.  Stages of nonsymbolic number processing in occipitoparietal cortex disentangled by fMRI adaptation.

Authors:  Chantal Roggeman; Seppe Santens; Wim Fias; Tom Verguts
Journal:  J Neurosci       Date:  2011-05-11       Impact factor: 6.167

5.  Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia.

Authors:  Manuela Piazza; Andrea Facoetti; Anna Noemi Trussardi; Ilaria Berteletti; Stefano Conte; Daniela Lucangeli; Stanislas Dehaene; Marco Zorzi
Journal:  Cognition       Date:  2010-04-08

6.  Diurnal and seasonal mood vary with work, sleep, and daylength across diverse cultures.

Authors:  Scott A Golder; Michael W Macy
Journal:  Science       Date:  2011-09-30       Impact factor: 47.728

7.  Individual differences in non-verbal number acuity correlate with maths achievement.

Authors:  Justin Halberda; Michèle M M Mazzocco; Lisa Feigenson
Journal:  Nature       Date:  2008-09-07       Impact factor: 49.962

Review 8.  The evolution of numerical cognition: from number neurons to linguistic quantifiers.

Authors:  Edward M Hubbard; Ilka Diester; Jessica F Cantlon; Daniel Ansari; Filip van Opstal; Vanessa Troiani
Journal:  J Neurosci       Date:  2008-11-12       Impact factor: 6.167

9.  Malleability of the approximate number system: effects of feedback and training.

Authors:  Nicholas K Dewind; Elizabeth M Brannon
Journal:  Front Hum Neurosci       Date:  2012-04-19       Impact factor: 3.169

10.  Quantity without numbers and numbers without quantity in the parietal cortex.

Authors:  Marinella Cappelletti; Neil Muggleton; Vincent Walsh
Journal:  Neuroimage       Date:  2009-02-21       Impact factor: 6.556

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  138 in total

1.  Modeling the interaction of numerosity and perceptual variables with the diffusion model.

Authors:  Inhan Kang; Roger Ratcliff
Journal:  Cogn Psychol       Date:  2020-04-20       Impact factor: 3.468

2.  Transfer of cognitive training across magnitude dimensions achieved with concurrent brain stimulation of the parietal lobe.

Authors:  Marinella Cappelletti; Erica Gessaroli; Rosalyn Hithersay; Micaela Mitolo; Daniele Didino; Ryota Kanai; Roi Cohen Kadosh; Vincent Walsh
Journal:  J Neurosci       Date:  2013-09-11       Impact factor: 6.167

3.  Understanding the mapping between numerical approximation and number words: evidence from Williams syndrome and typical development.

Authors:  Melissa E Libertus; Lisa Feigenson; Justin Halberda; Barbara Landau
Journal:  Dev Sci       Date:  2014-03-01

4.  Young children 'solve for x' using the Approximate Number System.

Authors:  Melissa M Kibbe; Lisa Feigenson
Journal:  Dev Sci       Date:  2014-03-03

5.  Shared Numerosity Representations Across Formats and Tasks Revealed with 7 Tesla fMRI: Decoding, Generalization, and Individual Differences in Behavior.

Authors:  Eric D Wilkey; Benjamin N Conrad; Darren J Yeo; Gavin R Price
Journal:  Cereb Cortex Commun       Date:  2020-07-30

6.  Nonsymbolic number and cumulative area representations contribute shared and unique variance to symbolic math competence.

Authors:  Stella F Lourenco; Justin W Bonny; Edmund P Fernandez; Sonia Rao
Journal:  Proc Natl Acad Sci U S A       Date:  2012-10-22       Impact factor: 11.205

7.  Intuitive sense of number correlates with math scores on college-entrance examination.

Authors:  Melissa E Libertus; Darko Odic; Justin Halberda
Journal:  Acta Psychol (Amst)       Date:  2012-10-23

8.  Numerical distance and size effects dissociate in Indo-Arabic number comparison.

Authors:  Attila Krajcsi
Journal:  Psychon Bull Rev       Date:  2017-06

9.  Using cognitive training studies to unravel the mechanisms by which the approximate number system supports symbolic math ability.

Authors:  Stephanie Bugden; Nicholas K DeWind; Elizabeth M Brannon
Journal:  Curr Opin Behav Sci       Date:  2016-05-11

10.  Brief non-symbolic, approximate number practice enhances subsequent exact symbolic arithmetic in children.

Authors:  Daniel C Hyde; Saeeda Khanum; Elizabeth S Spelke
Journal:  Cognition       Date:  2014-01-22
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