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Developmental predictors of fraction concepts and procedures

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TLDR
This article investigated the developmental predictors of children's fraction concepts and procedures at the end of fourth grade in a 2-year longitudinal study and found that number line estimation, attentive behavior, calculation fluency, and working memory made unique contributions to the acquisition of fraction arithmetic procedures.
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This article is published in Journal of Experimental Child Psychology.The article was published on 2013-09-01. It has received 224 citations till now. The article focuses on the topics: Fluency & Number line.

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A meta-analysis on the relation between fluid intelligence and reading/mathematics: Effects of tasks, age, and social economics status.

TL;DR: Findings imply an integration model of these theories from an educational and developmental perspective: Children may rely on Gf to learn reading and mathematics early on, when high family SES can boost the effects of Gf on reading/mathematics performance.
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Direct and indirect influences of executive functions on mathematics achievement.

TL;DR: The extent to which executive function skills contribute to these three components of mathematical knowledge is investigated, whether this mediates the relationship between executive functions and overall mathematics achievement, and if these relationships change with age.
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Magnitude Knowledge: The Common Core of Numerical Development.

TL;DR: The integrated theory of numerical development as discussed by the authors posits that a central theme of numerology development from infancy to adulthood is progressive broadening of the types and ranges of numbers whose magnitudes are accurately represented.
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Cognitive components of a mathematical processing network in 9‐year‐old children

TL;DR: An ‘executive memory function centric’ model of mathematical processing is suggested and a network theory of mathematical competence in primary school children is supported and the importance of a proposed modular ‘number sense’ is falsified.
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Associations of Number Line Estimation With Mathematical Competence: A Meta-analysis.

TL;DR: The present meta-analysis statistically synthesized the extensive evidence on the correlation between number line estimation and broader mathematical competence and demonstrated that the task is a robust tool for diagnosing and predicting broader Mathematical competence and should be further investigated in developmental and experimental training studies.
References
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Book

Using multivariate statistics

TL;DR: In this Section: 1. Multivariate Statistics: Why? and 2. A Guide to Statistical Techniques: Using the Book Research Questions and Associated Techniques.
Book

Applied multiple regression/correlation analysis for the behavioral sciences

TL;DR: In this article, the Mathematical Basis for Multiple Regression/Correlation and Identification of the Inverse Matrix Elements is presented. But it does not address the problem of missing data.
Book

Applied Multivariate Statistics for the Social Sciences

TL;DR: In this article, the authors focus on a conceptual understanding of the material rather than proving results and stress the importance of checking the data, assessing the assumptions, and ensuring adequate sample size so that the results can be generalized.
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