Loughborough University
Friso-van den Bos et al. - 2015 - Longitudinal development of number line estimation and mathematics performance in primary school child.pdf (853.91 kB)
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Longitudinal development of number line estimation and mathematics performance in primary school children

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posted on 2016-01-20, 09:28 authored by Ilona Friso-van den Bos, Evelyn H. Kroesbergen, Johannes E.H. Van Luit, Iro Xenidou-DervouIro Xenidou-Dervou, Lisa M. Jonkman, Menno van der Schoot, Ernest C.D.M. van Lieshout
© 2015 The Authors. Children's ability to relate number to a continuous quantity abstraction visualized as a number line is widely accepted to be predictive of mathematics achievement. However, a debate has emerged with respect to how children's placements are distributed on this number line across development. In the current study, different models were applied to children's longitudinal number placement data to get more insight into the development of number line representations in kindergarten and early primary school years. In addition, longitudinal developmental relations between number line placements and mathematical achievement, measured with a national test of mathematics, were investigated using cross-lagged panel modeling. A group of 442 children participated in a 3-year longitudinal study (ages 5-8. years) in which they completed a number-to-position task every 6. months. Individual number line placements were fitted to various models, of which a one-anchor power model provided the best fit for many of the placements at a younger age (5 or 6. years) and a two-anchor power model provided better fit for many of the children at an older age (7 or 8. years). The number of children who made linear placements also grew with age. Cross-lagged panel analyses indicated that the best fit was provided with a model in which number line acuity and mathematics performance were mutually predictive of each other rather than models in which one ability predicted the other in a non-reciprocal way. This indicates that number line acuity should not be seen as a predictor of math but that both skills influence each other during the developmental process.


This study was part of the MathChild study and was supported by a grant from the Netherlands Organisation for Scientific Research (NWO, Grant 411-07-113).



  • Science


  • Mathematics Education Centre

Published in

Journal of Experimental Child Psychology




12 - 29


FRISO-VAN DEN BOS, I. ... et al, 2015. Longitudinal development of number line estimation and mathematics performance in primary school children. Journal of Experimental Child Psychology, 134 pp. 12-29


Elsevier Inc. (© 2015 The Authors)


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This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

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This is an Open Access article, published by Elsevier under the CC BY-NC-ND license (http://creativecommons. org/licenses/by-nc-nd/4.0/).




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