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 …
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
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 …
representation. We tested the hypothesis that children's familiarity with numbers is directly …
Children's early mental number line: Logarithmic or decomposed linear?
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 line task, children are required to mark a presented number on a physical number …
Number representations drive number‐line estimates
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 …
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 …
the number-to-position task and reported evidence for a shift from a logarithmic to a linear …
Developmental change in numerical estimation.
Mental representations of numerical magnitude are commonly thought to undergo
discontinuous change over development in the form of a “representational shift.” This idea …
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 …
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
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 …
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 …
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.
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 …
representation of number acts as a constraint on number development, we carried out a …