Literature DB >> 20822213

Do different types of school mathematics development depend on different constellations of numerical versus general cognitive abilities?

Lynn S Fuchs1, David C Geary, Donald L Compton, Douglas Fuchs, Carol L Hamlett, Pamela M Seethaler, Joan D Bryant, Christopher Schatschneider.   

Abstract

The purpose of this study was to examine the interplay between basic numerical cognition and domain-general abilities (such as working memory) in explaining school mathematics learning. First graders (N = 280; mean age = 5.77 years) were assessed on 2 types of basic numerical cognition, 8 domain-general abilities, procedural calculations, and word problems in fall and then reassessed on procedural calculations and word problems in spring. Development was indexed by latent change scores, and the interplay between numerical and domain-general abilities was analyzed by multiple regression. Results suggest that the development of different types of formal school mathematics depends on different constellations of numerical versus general cognitive abilities. When controlling for 8 domain-general abilities, both aspects of basic numerical cognition were uniquely predictive of procedural calculations and word problems development. Yet, for procedural calculations development, the additional amount of variance explained by the set of domain-general abilities was not significant, and only counting span was uniquely predictive. By contrast, for word problems development, the set of domain-general abilities did provide additional explanatory value, accounting for about the same amount of variance as the basic numerical cognition variables. Language, attentive behavior, nonverbal problem solving, and listening span were uniquely predictive.

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Year:  2010        PMID: 20822213      PMCID: PMC2976828          DOI: 10.1037/a0020662

Source DB:  PubMed          Journal:  Dev Psychol        ISSN: 0012-1649


  41 in total

1.  Numerosity discrimination in infants: evidence for two systems of representations.

Authors:  Fei Xu
Journal:  Cognition       Date:  2003-08

Review 2.  Developmental change in speed of processing during childhood and adolescence.

Authors:  R Kail
Journal:  Psychol Bull       Date:  1991-05       Impact factor: 17.737

3.  Understanding and solving word arithmetic problems.

Authors:  W Kintsch; J G Greeno
Journal:  Psychol Rev       Date:  1985-01       Impact factor: 8.934

4.  Are mathematics disabilities due to a domain-general or a domain-specific working memory deficit?

Authors:  K M Wilson; H L Swanson
Journal:  J Learn Disabil       Date:  2001 May-Jun

Review 5.  Generalist genes and learning disabilities.

Authors:  Robert Plomin; Yulia Kovas
Journal:  Psychol Bull       Date:  2005-07       Impact factor: 17.737

6.  Working memory in children with specific arithmetical learning difficulties.

Authors:  J G Hitch; E McAuley
Journal:  Br J Psychol       Date:  1991-08

7.  Working memory and access to numerical information in children with disability in mathematics.

Authors:  M Chiara Passolunghi; Linda S Siegel
Journal:  J Exp Child Psychol       Date:  2004-08

8.  Development of number line representations in children with mathematical learning disability.

Authors:  David C Geary; Mary K Hoard; Lara Nugent; Jennifer Byrd-Craven
Journal:  Dev Neuropsychol       Date:  2008       Impact factor: 2.253

9.  Short-term memory, working memory, and executive functioning in preschoolers: longitudinal predictors of mathematical achievement at age 7 years.

Authors:  Rebecca Bull; Kimberly Andrews Espy; Sandra A Wiebe
Journal:  Dev Neuropsychol       Date:  2008       Impact factor: 2.253

10.  Individual differences in non-verbal number acuity correlate with maths achievement.

Authors:  Justin Halberda; Michèle M M Mazzocco; Lisa Feigenson
Journal:  Nature       Date:  2008-09-07       Impact factor: 49.962

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  55 in total

1.  Contributions of domain-general cognitive resources and different forms of arithmetic development to pre-algebraic knowledge.

Authors:  Lynn S Fuchs; Donald L Compton; Douglas Fuchs; Sarah R Powell; Robin F Schumacher; Carol L Hamlett; Emily Vernier; Jessica M Namkung; Rose K Vukovic
Journal:  Dev Psychol       Date:  2012-03-12

2.  Cognitive and Linguistic Predictors of Mathematical Word Problems With and Without Irrelevant Information.

Authors:  Amber Y Wang; Lynn S Fuchs; Douglas Fuchs
Journal:  Learn Individ Differ       Date:  2016-10-16

3.  Fluid reasoning predicts future mathematical performance among children and adolescents.

Authors:  Chloe T Green; Silvia A Bunge; Victoria Briones Chiongbian; Maia Barrow; Emilio Ferrer
Journal:  J Exp Child Psychol       Date:  2017-01-30

4.  Change over Time: Conducting Longitudinal Studies of Children's Cognitive Development.

Authors:  Jennie K Grammer; Jennifer L Coffman; Peter A Ornstein; Frederick J Morrison
Journal:  J Cogn Dev       Date:  2013-10-01

5.  Effects of Extreme Prematurity on Numerical Skills and Executive Function in Kindergarten Children: An Application of Partially Ordered Classification Modeling.

Authors:  Curtis Tatsuoka; Bridget McGowan; Tomoko Yamada; Kimberly Andrews Espy; Nori Minich; H Gerry Taylor
Journal:  Learn Individ Differ       Date:  2016-06-18

6.  Early Numerical Competencies of Students with Different Forms of Mathematics Difficulty.

Authors:  Jessica M Namkung; Lynn S Fuchs
Journal:  Learn Disabil Res Pract       Date:  2012-02-01

7.  Predicting Development of Mathematical Word Problem Solving Across the Intermediate Grades.

Authors:  Tammy D Tolar; Lynn Fuchs; Paul T Cirino; Douglas Fuchs; Carol L Hamlett; Jack M Fletcher
Journal:  J Educ Psychol       Date:  2012

8.  Sources of individual differences in children's understanding of fractions.

Authors:  Rose K Vukovic; Lynn S Fuchs; David C Geary; Nancy C Jordan; Russell Gersten; Robert S Siegler
Journal:  Child Dev       Date:  2014-01-16

9.  A longitudinal study on predictors of early calculation development among young children at risk for learning difficulties.

Authors:  Peng Peng; Jessica M Namkung; Douglas Fuchs; Lynn S Fuchs; Samuel Patton; Loulee Yen; Donald L Compton; Wenjuan Zhang; Amanda Miller; Carol Hamlett
Journal:  J Exp Child Psychol       Date:  2016-08-28

10.  Cognitive Predictors of Calculations and Number Line Estimation with Whole Numbers and Fractions among At-Risk Students.

Authors:  Jessica M Namkung; Lynn S Fuchs
Journal:  J Educ Psychol       Date:  2015-06-15
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