Explaining variability: Numerical representations in 4-to 8-year-old children

IF Bos, ME Kolkman, EH Kroesbergen… - Journal of Cognition …, 2014 - Taylor & Francis
The present study aims to examine relations between number representations and various
sources of individual differences within early stages of development of number …

The relationship between the shape of the mental number line and familiarity with numbers in 5-to 9-year old children: Evidence for a segmented linear model

M Ebersbach, K Luwel, A Frick, P Onghena… - Journal of experimental …, 2008 - Elsevier
This experiment aimed to expand previous findings on the development of mental number
representation. We tested the hypothesis that children's familiarity with numbers is directly …

Children's early mental number line: Logarithmic or decomposed linear?

K Moeller, S Pixner, L Kaufmann, HC Nuerk - Journal of experimental child …, 2009 - Elsevier
Recently, the nature of children's mental number line has received much investigation. In the
number line task, children are required to mark a presented number on a physical number …

Number representations drive number‐line estimates

L Yuan, R Prather, KS Mix, LB Smith - Child development, 2020 - Wiley Online Library
The number‐line task has been extensively used to study the mental representation of
numbers in children. However, studies suggest that proportional reasoning provides a better …

The development of numerosity estimation: Evidence for a linear number representation early in life

JC Stapel, S Hunnius, H Bekkering… - Journal of Cognitive …, 2015 - Taylor & Francis
Several studies investigating the development of approximate number representations used
the number-to-position task and reported evidence for a shift from a logarithmic to a linear …

Developmental change in numerical estimation.

EB Slusser, RT Santiago, HC Barth - Journal of Experimental …, 2013 - psycnet.apa.org
Mental representations of numerical magnitude are commonly thought to undergo
discontinuous change over development in the form of a “representational shift.” This idea …

Number comparison and number line estimation rely on different mechanisms

D Sasanguie, B Reynvoet - Psychologica Belgica, 2013 - account.psychologicabelgica.com
The performance in comparison and number line estimation is assumed to rely on the same
underlying representation, similar to a compressed mental number line that becomes more …

Unbounding the mental number line—New evidence on children's spatial representation of numbers

T Link, S Huber, HC Nuerk, K Moeller - Frontiers in psychology, 2014 - frontiersin.org
Number line estimation (ie, indicating the position of a given number on a physical line) is a
standard assessment of children's spatial representation of number magnitude. Importantly …

Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison

EV Laski, RS Siegler - Child development, 2007 - Wiley Online Library
This study examined the generality of the logarithmic to linear transition in children's
representations of numerical magnitudes and the role of subjective categorization of …

A longitudinal analysis of estimation, counting skills, and mathematical ability across the first school year.

K Muldoon, J Towse, V Simms, O Perra… - Developmental …, 2013 - psycnet.apa.org
In response to claims that the quality (and in particular linearity) of children's mental
representation of number acts as a constraint on number development, we carried out a …