In how many ways is the approximate number system sssociated with exact calculation?

  • The approximate number system (ANS) has been consistently found to be associated with math achievement. However, little is known about the interactions between the different instantiations of the ANS and in how many ways they are related to exact calculation. In a cross-sectional design, we investigated the relationship between three measures of ANS acuity (non-symbolic comparison, non-symbolic estimation and non-symbolic addition), their cross-sectional trajectories and specific contributions to exact calculation. Children with mathematical difficulties (MD) and typically achieving (TA) controls attending the first six years of formal schooling participated in the study. The MD group exhibited impairments in multiple instantiations of the ANS compared to their TA peers. The ANS acuity measured by all three tasks positively correlated with age in TA children, while no correlation was found between non-symbolic comparison and age in the MD group. The measures of ANS acuity significantly correlated with each other, reflecting at least in part a common numerosity code. Crucially, we found that non-symbolic estimation partially and non-symbolic addition fully mediated the effects of non-symbolic comparison in exact calculation.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Author:Pedro Pinheiro-Chagas, Guilherme Wood, André Knops, Helga Krinzinger, Jan Lonnemann, Isabella Starling-Alves, Klaus Willmes, Vitor Geraldi Haase
Parent Title (English):PLoS One
Place of publication:Lawrence, Kan.
Document Type:Article
Date of Publication (online):2014/11/19
Date of first Publication:2014/11/19
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2014/11/22
Page Number:13
Copyright: © 2014 Pinheiro-Chagas et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Institutes:Psychologie und Sportwissenschaften / Psychologie
Angeschlossene und kooperierende Institutionen / Deutsches Institut für Internationale Pädagogische Forschung (DIPF)
Dewey Decimal Classification:1 Philosophie und Psychologie / 15 Psychologie / 150 Psychologie
Licence (German):License LogoCreative Commons - Namensnennung 4.0