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      Pathways of Number Line Development in Children : Predictors and Risk for Adverse Mathematical Outcome

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          Abstract

          Dyscalculia, or mathematics learning disability, has received growing attention in recent years. Working memory and number sense are hypothesized to form important determinants of dyscalculia, but longitudinal assessments of number sense in children with or at-risk for dyscalculia are scarce. The current study investigated number line development in first and second grade, in addition to kindergarten predictors and mathematical proficiency as an outcome. Children ( n = 396) could be divided into three latent growth classes: at-risk, catch-up, and typical, based on their number line development. Growth was predicted by kindergarten number sense and verbal working memory. According to the class to which they were assigned, children differed in mathematical proficiency at the end of grade 2. The current study makes an important contribution to the understanding of risk for dyscalculia, showing that children at-risk can be distinguished based on their number line development, and that kindergarten variables are predictive of subsequent development.

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          Most cited references40

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          Deciding on the Number of Classes in Latent Class Analysis and Growth Mixture Modeling: A Monte Carlo Simulation Study

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            An Introduction to Latent Class Growth Analysis and Growth Mixture Modeling

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              The development of numerical estimation: evidence for multiple representations of numerical quantity.

              We examined children's and adults' numerical estimation and the representations that gave rise to their estimates. The results were inconsistent with two prominent models of numerical representation: the logarithmic-ruler model, which proposes that people of all ages possess a single, logarithmically spaced representation of numbers, and the accumulator model, which proposes that people of all ages represent numbers as linearly increasing magnitudes with scalar variability. Instead, the data indicated that individual children possess multiple numerical representations; that with increasing age and numerical experience, they rely on appropriate representations increasingly often; and that the numerical context influences their choice of representation. The results, obtained with second graders, fourth graders, sixth graders, and adults who performed two estimation tasks in two numerical contexts, strongly suggest that one cause of children's difficulties with estimation is reliance on logarithmic representations of numerical magnitudes in situations in which accurate estimation requires reliance on linear representations.
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                Author and article information

                Journal
                zfp
                Zeitschrift für Psychologie
                Hogrefe Publishing
                2190-8370
                2151-2604
                July 2015
                : 223
                : 2
                : 120-128
                Affiliations
                [ 1 ] Utrecht University, The Netherlands
                [ 2 ] Vrije Universiteit Amsterdam, The Netherlands
                [ 3 ] Maastricht University, The Netherlands
                Author notes
                Ilona Friso-van den Bos, Department of Educational and Learning Sciences/Freudenthal Institute, Utrecht University, P.O. Box 85.170, 3508 AD Utrecht, The Netherlands, +31 30 253-5615, mailto: I.vandenBos@ 123456uu.nl
                Article
                zfp_223_2_120
                10.1027/2151-2604/a000210
                50bc2d20-21ff-44aa-9ec1-339528e3b857
                Copyright @ 2015
                History
                Categories
                Original Article

                Psychology,General behavioral science
                number line,working memory,mathematics,development,dyscalculia
                Psychology, General behavioral science
                number line, working memory, mathematics, development, dyscalculia

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