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Predictors for Mathematics Achievement? Evidence From a Longitudinal Study

Delphine Sasanguie

Corresponding Author

Laboratory of Experimental Psychology, KU Leuven

Subfaculty of Psychology and Educational Sciences, KU Leuven Kulak

Delphine Sasanguie, Subfaculty of Psychology and Educational Sciences, Department of Psychology, KU Leuven Kulak, Etienne Sabbelaan 53, BE ‐ 8500 Kortrijk, Belgium; e‐mail:

delphine.sasanguie@kuleuven‐kulak.be

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Eva Van den Bussche

Department of Psychology, Vrije Universiteit Brussel

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Bert Reynvoet

Laboratory of Experimental Psychology, KU Leuven

Subfaculty of Psychology and Educational Sciences, KU Leuven Kulak

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First published: 02 August 2012
Cited by: 38

Abstract

Numerical processing has been extensively studied by examining the performance on basic number processing tasks, such as number priming, number comparison, and number line estimation. These tasks assess the innate “number sense,” which is assumed to be the breeding ground for later mathematics development. Indeed, several studies have associated children's performance in these tasks with individual differences in mathematical achievement. To date, however, most of these studies have cross‐sectional designs. Moreover, the few longitudinal studies either use complex tasks (e.g., story problems) or investigate only one of these basic number processing tasks at a time. In this study, we examine the association between the performance of children on several basic number processing tasks and their individual math achievement scores on a curriculum‐based test measured 1 year later. Regression analyses showed that most of the variance in children's math achievement was predicted by nonsymbolic number line estimation performance (i.e., estimating large quantities of dots) and, to a lesser extent, the speed of comparing symbolic numbers. This knowledge about the predictive value of the performance of 5‐ to 7‐year‐olds on these markers of number processing can help with the early identification of at‐risk children. In addition, this information can guide appropriate educational interventions.

Number of times cited: 38

  • , Kindergarten children's symbolic number comparison skills predict 1st grade mathematics achievement: Evidence from a two-minute paper-and-pencil test, Learning and Instruction, 10.1016/j.learninstruc.2018.09.004, 59, (21-33), (2019).
  • , Fluency in symbolic arithmetic refines the approximate number system in parietal cortex, Human Brain Mapping, 39, 10, (3956-3971), (2018).
  • , Associations of non‐symbolic and symbolic numerical magnitude processing with mathematical competence: a meta‐analysis, Developmental Science, 20, 3, (2016).
  • , Nonsymbolic and symbolic magnitude comparison skills as longitudinal predictors of mathematical achievement, Learning and Instruction, 50, (1), (2017).
  • , The role of general and number-specific order processing in adults’ arithmetic performance, Journal of Cognitive Psychology, 29, 4, (469), (2017).
  • , Preschool children use space, rather than counting, to infer the numerical magnitude of digits: Evidence for a spatial mapping principle, Cognition, 158, (56), (2017).
  • , Deficits in Approximate Number System Acuity and Mathematical Abilities in 6.5-Year-Old Children Born Extremely Preterm, Frontiers in Psychology, 8, (2017).
  • the 5th International Conference TEEM 2017 Cádiz, Spain Proceedings of the 5th International Conference on Technological Ecosystems for Enhancing Multiculturality - TEEM 2017 Technological Ecosystems for Enhancing Multiculturality ACM Press New York, New York, USA , (2017). 9781450353861 , 10.1145/3144826 20171128081358 http://dl.acm.org/citation.cfm?doid=3144826 APP designed for early math training. Magnitudes Comparison , (2017). 1 8 , 10.1145/3144826.3145415 20171128081400 http://dl.acm.org/citation.cfm?doid=3144826.3145415
  • , The interaction of procedural skill, conceptual understanding and working memory in early mathematics achievement, Journal of Numerical Cognition, 3, 2, (400), (2017).
  • , TEMA and Dot Enumeration Profiles Predict Mental Addition Problem Solving Speed Longitudinally, Frontiers in Psychology, 8, (2017).
  • , Early Math Trajectories: Low‐Income Children's Mathematics Knowledge From Ages 4 to 11, Child Development, 88, 5, (1727-1742), (2016).
  • , Development of SNARC and distance effects and their relation to mathematical and visuospatial abilities, Journal of Experimental Child Psychology, 150, (301), (2016).
  • , Improving low-income preschoolers mathematics achievement with Math Shelf, a preschool tablet computer curriculum, Computers in Human Behavior, 55, (223), (2016).
  • , A Systematic Investigation of Accuracy and Response Time Based Measures Used to Index ANS Acuity, PLOS ONE, 11, 9, (e0163076), (2016).
  • , Math Shelf: A Randomized Trial of a Prekindergarten Tablet Number Sense Curriculum, Early Education and Development, 27, 1, (74), (2016).
  • , Les compétences numériques chez de jeunes enfants prématurés, L’Année psychologique, 116, 02, (227), (2016).
  • , The relationship between accuracy of numerical magnitude comparisons and children’s arithmetic ability: A study in Iranian primary school children, Europe’s Journal of Psychology, 12, 4, (567), (2016).
  • , Both non-symbolic and symbolic quantity processing are important for arithmetical computation but not for mathematical reasoning, Journal of Cognitive Psychology, 10.1080/20445911.2016.1205074, 28, 7, (807-824), (2016).
  • , Improving Children’s Knowledge of Fraction Magnitudes, PLOS ONE, 11, 10, (e0165243), (2016).
  • , Relational quantitative reasoning in kindergarten predicts mathematical achievement in third grade, Journal of Numerical Cognition, 2, 2, (77), (2016).
  • , Finger gnosis predicts a unique but small part of variance in initial arithmetic performance, Journal of Experimental Child Psychology, 146, (1), (2016).
  • , The Relationship Between Children’s Familiarity with Numbers and Their Performance in Bounded and Unbounded Number Line Estimations, Mathematical Thinking and Learning, 17, 2-3, (136), (2015).
  • , Identifying the cognitive predictors of early counting and calculation skills: Evidence from a longitudinal study, Journal of Experimental Child Psychology, 140, (16), (2015).
  • , The Development of Arabic Digit Knowledge in 4- to 7-Year-Old Children, Journal of Numerical Cognition, 1, 1, (21), (2015).
  • , Differential processing of symbolic numerical magnitude and order in first-grade children, Journal of Experimental Child Psychology, 129, (26), (2015).
  • , Profiles of children’s arithmetic fact development: A model-based clustering approach, Journal of Experimental Child Psychology, 133, (29), (2015).
  • , Longitudinal changes in young children’s 0–100 to 0–1000 number-line error signatures, Frontiers in Psychology, 6, (2015).
  • , The association between numerical magnitude processing and mental versus algorithmic multi-digit subtraction in children, Learning and Instruction, 35, (42), (2015).
  • , Does numerical processing uniquely predict first graders’ future development of single-digit arithmetic?, Learning and Individual Differences, 37, (153), (2015).
  • , Measuring the approximate number system in children: Exploring the relationships among different tasks, Learning and Individual Differences, 29, (50), (2014).
  • , What basic number processing measures in kindergarten explain unique variability in first-grade arithmetic proficiency?, Journal of Experimental Child Psychology, 117, (12), (2014).
  • , The Approximate Number System is not Predictive for Symbolic Number Processing in Kindergarteners, Quarterly Journal of Experimental Psychology, 67, 2, (271), (2014).
  • , Indexing the approximate number system, Acta Psychologica, 145, (147), (2014).
  • , The association between children's numerical magnitude processing and mental multi-digit subtraction, Acta Psychologica, 145, (75), (2014).
  • , How do symbolic and non-symbolic numerical magnitude processing skills relate to individual differences in children's mathematical skills? A review of evidence from brain and behavior, Trends in Neuroscience and Education, 2, 2, (48), (2013).
  • , Approximate number sense, symbolic number processing, or number–space mappings: What underlies mathematics achievement?, Journal of Experimental Child Psychology, 114, 3, (418), (2013).
  • , Individual Differences in Inhibitory Control, Not Non-Verbal Number Acuity, Correlate with Mathematics Achievement, PLoS ONE, 8, 6, (e67374), (2013).
  • , The Relation Between Executive Functions, Fine Motor Skills, and Basic Numerical Skills and Their Relevance for Later Mathematics Achievement, Early Education and Development, 10.1080/10409289.2018.1539556, (1-14), (2018).