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

Bibliographic Data

ID9792504
AuthorsKevin Muldoon (0000-0002-0510-8219, Heriot-Watt University, corresponding author), John N Towse (0000-0003-1183-5508, Lancaster University), Victoria Simms (0000-0001-5664-6810, University of Leicester), Oliver Perra (0000-0002-8675-3171, Queen's University Belfast), Victoria Menzies (0000-0003-2444-379X, University of York)
Year2013
Volume49
Issue2
Pages250-257
Publication date2013-01-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueDevelopmental Psychology (JOURNAL)
Journal identifiersISSN: 0012-1649 • E-ISSN: 1939-0599
PublisherAmerican Psychological Association (APA) (PUBLISHER)
DOI10.1037/a0028240
PMID22506976
OpenAlexW1981600212
LanguageEN
Citations received7
References cited11

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 longitudinal assessment of the relationships between number line estimation, counting, and mathematical abilities. Ninety-nine 5-year-olds were tested on 4 occasions at 3 monthly intervals. Correlations between the 3 types of ability were evident, but while the quality of children's estimations changed over time and performance on the mathematical tasks improved over the same period, changes in one were not associated with changes in the other. In contrast to the earlier claims that the linearity of number representation is potentially a unique contributor to children's mathematical development, the data suggest that this variable is not significantly privileged in its impact over and above simple procedural number skills. We propose that both early arithmetic success and estimating skill are bound closely to developments in counting ability

Cognitive psychology · Constraint (computer-aided design · Contrast (vision · Developmental psychology · Estimation · Longitudinal study · Mathematics education · Number line · Quality (philosophy · Representation (politics · Statistics · Variation (astronomy · Artificial Intelligence · Cognitive and developmental aspects of mathematical skills · Computer Science · Mathematics · Mathematics Education and Teaching Techniques · Psychology · Reading and Literacy Development

  • Associations of Number Line Estimation With Mathematical Competence

    Open Access•Michael Schneider, Simon Merz et al.•Child Development•2018

  • Early Math Trajectories

    Open Access•Bethany Rittle‐johnson, Bethany Rittle-Johnson et al.•Child Development•2017

  • Pathways to learning mathematics for students in French-immersion and English-instruction programs

    Chang Xu, Sabrina M Di Lonardo Burr et al.•Journal of Educational Psychology•2022

  • Development and sensory channel feedback effects in children’s number line estimation

    Open Access•Tian-Ge Gao, Tian‐Ge Gao et al.•Psychological Research•2025

  • Children perform better on left than right targets in an ordinal task

    Open Access•Rosa Rugani, Yujia Zhang et al.•Acta Psychologica•2022

  • Varieties of Number-Line Estimation

    Open Access•Jike Qin, Dan Kim et al.•Developmental Review•2024

  • An early numeracy intervention for first-graders at risk for mathematical learning difficulties

    Open Access•Pirjo Aunio, Johan Korhonen et al.•Early Childhood Research Quarterly•2020

  • Development of Numerical Estimation in Young Children

    Open Access•Robert S Siegler, Julie L Booth•Child Development•2004

  • The Development of Numerical Estimation

    Open Access•Robert S Siegler, John E Opfer•Psychological Science•2003

  • Playing linear number board games—but not circular ones—improves low-income preschoolers’ numerical understanding.

    Robert S Siegler, Geetha B Ramani•Journal of Educational Psychology•2009

  • Predicting First–Grade Math Achievement from Developmental Number Sense Trajectories

    Open Access•Nancy C Jordan, David Kaplan et al.•Learning Disabilities Research &…•2007

  • Numerical estimation in preschoolers

    Ilaria Berteletti, Daniela Lucangeli et al.•Developmental Psychology•2010

  • On the Development of the Mental Number Line

    Hans-Christoph Nuerk, Hans‐Christoph Nuerk et al.•Developmental Psychology•2004

  • Developmental and individual differences in pure numerical estimation

    Julie L Booth, Robert S Siegler•Developmental Psychology•2006

  • Number games, magnitude representation, and basic number skills in preschoolers

    Jemma Catherine Whyte, Ray Bull•Developmental Psychology•2008

  • Bootstrapping & the origin of concepts

    Open Access•Susan Carey•Daedalus•2004

  • Cross-Cultural Comparisons of 5-Year-Olds' Estimating and Mathematical Ability

    Open Access•Kevin Muldoon, Victoria Simms et al.•Journal of Cross-Cultural…•2011

Unique citing works7
Citations per year0,78
Citation span2017 - 2025 (9)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 7
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