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Journal ArticleDOI

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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Journal ArticleDOI

The role of rational number density knowledge in mathematical development

TL;DR: This article examined the patterns, predictors, and outcomes of the development of rational number knowledge in lower secondary school and found that fraction density knowledge appeared to be related to concurrent algebra knowledge.
Journal ArticleDOI

Distinguishing adaptive from routine expertise with rational number arithmetic

TL;DR: The findings suggest that it is possible to distinguish adaptive expertise from routine expertise with rational numbers and that this distinction is important to consider in research on mathematical development.
Proceedings ArticleDOI

Using Serious Game Analytics to Inform Digital Curricular Sequencing: What Math Objective Should Students Play Next?

TL;DR: A novel method that suggests curricular sequencing based on the prediction relationship between math objectives is presented, which can potentially be applied to data from a wide range of games and digital learning platforms, enabling developers to better understand how to sequence educational content.
Journal ArticleDOI

Analysis of proportional reasoning and misconceptions among students with mathematical learning disabilities

TL;DR: The authors investigated the effects of schema-based instruction on the mathematical outcomes of seventh-grade students with mathematical learning disabilities (MLD), and extended prior work to analyze students' written explanations on open-ended items involving ratio and proportion situations to understand the ability to reason about proportions and identify misconceptions.
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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