Literature DB >> 23921769

Training the approximate number system improves math proficiency.

Joonkoo Park1, Elizabeth M Brannon.   

Abstract

Humans and nonhuman animals share an approximate number system (ANS) that permits estimation and rough calculation of quantities without symbols. Recent studies show a correlation between the acuity of the ANS and performance in symbolic math throughout development and into adulthood, which suggests that the ANS may serve as a cognitive foundation for the uniquely human capacity for symbolic math. Such a proposition leads to the untested prediction that training aimed at improving ANS performance will transfer to improvement in symbolic-math ability. In the two experiments reported here, we showed that ANS training on approximate addition and subtraction of arrays of dots selectively improved symbolic addition and subtraction. This finding strongly supports the hypothesis that complex math skills are fundamentally linked to rudimentary preverbal quantitative abilities and provides the first direct evidence that the ANS and symbolic math may be causally related. It also raises the possibility that interventions aimed at the ANS could benefit children and adults who struggle with math.

Entities:  

Keywords:  mathematical ability; number comprehension

Mesh:

Year:  2013        PMID: 23921769      PMCID: PMC3797151          DOI: 10.1177/0956797613482944

Source DB:  PubMed          Journal:  Psychol Sci        ISSN: 0956-7976


  28 in total

1.  Moving along the number line: operational momentum in nonsymbolic arithmetic.

Authors:  Koleen McCrink; Stanislas Dehaene; Ghislaine Dehaene-Lambertz
Journal:  Percept Psychophys       Date:  2007-11

2.  Dynamic representations underlying symbolic and nonsymbolic calculation: evidence from the operational momentum effect.

Authors:  André Knops; Arnaud Viarouge; Stanislas Dehaene
Journal:  Atten Percept Psychophys       Date:  2009-05       Impact factor: 2.199

3.  Non-symbolic arithmetic abilities and mathematics achievement in the first year of formal schooling.

Authors:  Camilla K Gilmore; Shannon E McCarthy; Elizabeth S Spelke
Journal:  Cognition       Date:  2010-03-27

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

Authors:  Justin Halberda; Ryan Ly; Jeremy B Wilmer; Daniel Q Naiman; Laura Germine
Journal:  Proc Natl Acad Sci U S A       Date:  2012-06-25       Impact factor: 11.205

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.  Abstract number and arithmetic in preschool children.

Authors:  Hilary Barth; Kristen La Mont; Jennifer Lipton; Elizabeth S Spelke
Journal:  Proc Natl Acad Sci U S A       Date:  2005-09-19       Impact factor: 11.205

Review 7.  Varieties of numerical abilities.

Authors:  S Dehaene
Journal:  Cognition       Date:  1992-08

8.  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

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.  Preschoolers' precision of the approximate number system predicts later school mathematics performance.

Authors:  Michèle M M Mazzocco; Lisa Feigenson; Justin Halberda
Journal:  PLoS One       Date:  2011-09-14       Impact factor: 3.240

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  79 in total

1.  SNARC for numerosities is modulated by comparative instruction (and resembles some non-numerical effects).

Authors:  Katarzyna Patro; Samuel Shaki
Journal:  Cogn Process       Date:  2015-12-29

2.  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

3.  Preschoolers and multi-digit numbers: A path to mathematics through the symbols themselves.

Authors:  Lei Yuan; Richard W Prather; Kelly S Mix; Linda B Smith
Journal:  Cognition       Date:  2019-03-29

4.  A primarily serial, foveal accumulator underlies approximate numerical estimation.

Authors:  Samuel J Cheyette; Steven T Piantadosi
Journal:  Proc Natl Acad Sci U S A       Date:  2019-08-19       Impact factor: 11.205

5.  Effects of non-symbolic arithmetic training on symbolic arithmetic and the approximate number system.

Authors:  Jacky Au; Susanne M Jaeggi; Martin Buschkuehl
Journal:  Acta Psychol (Amst)       Date:  2018-02-02

6.  Does training mental rotation transfer to gains in mathematical competence? Assessment of an at-home visuospatial intervention.

Authors:  Chi-Ngai Cheung; Jenna Y Sung; Stella F Lourenco
Journal:  Psychol Res       Date:  2019-05-29

7.  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

8.  How Evolution Constrains Human Numerical Concepts.

Authors:  Jessica F Cantlon
Journal:  Child Dev Perspect       Date:  2017-11-07

9.  A latent profile analysis of math achievement, numerosity, and math anxiety in twins.

Authors:  Sara A Hart; Jessica A R Logan; Lee Thompson; Yulia Kovas; Gráinne McLoughlin; Stephen A Petrill
Journal:  J Educ Psychol       Date:  2015-07-06

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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