Working memory and individual differences in mathematics achievement: a longitudinal study from first grade to second grade.

This longitudinal study examined the relationship between working memory and individual differences in mathematics. Working memory measures, comprising the phonological loop, the visuospatial sketchpad, and the central executive, were administered at the start of first grade. Mathematics achievement was assessed 4 months later (at the middle of first grade) and 1 year later (at the start of second grade). Working memory was significantly related to mathematics achievement in both grades, showing that working memory clearly predicts later mathematics achievement. The central executive was a unique predictor of both first- and second-grade mathematics achievement. There were age-related differences with regard to the contribution of the slave systems to mathematics performance; the visuospatial sketchpad was a unique predictor of first-grade, but not second-grade, mathematics achievement, whereas the phonological loop emerged as a unique predictor of second-grade, but not first-grade, mathematics achievement.

[1]  Tracy Packiam Alloway,et al.  Verbal and visuospatial short-term and working memory in children: are they separable? , 2006, Child development.

[2]  A D Baddeley,et al.  The Children's Test of Nonword Repetition: a test of phonological working memory. , 1994, Memory.

[3]  M. Passolunghi,et al.  The precursors of mathematics learning: Working memory, phonological ability and numerical competence. , 2007 .

[4]  A. Baddeley Working memory: looking back and looking forward , 2003, Nature Reviews Neuroscience.

[5]  John W. Adams,et al.  Working Memory and Children’s Mathematical Skills: Implications for mathematical development and mathematics curricula , 2006 .

[6]  M. Noël,et al.  Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing , 2007, Cognition.

[7]  Jo-Anne LeFevre,et al.  The role of working memory in mental arithmetic , 2004 .

[8]  H. Swanson,et al.  Mathematical problem solving and working memory in children with learning disabilities: both executive and phonological processes are important. , 2001, Journal of experimental child psychology.

[9]  Andrew R. A. Conway,et al.  Working memory capacity and its relation to general intelligence , 2003, Trends in Cognitive Sciences.

[10]  Stephen R. Burgess,et al.  Contributions of Phonological Awareness and Rapid Automatic Naming Ability to the Growth of Word-Reading Skills in Second- to Fifth-Grade Children. , 1997 .

[11]  A. Baddeley,et al.  Working Memory: The multiple-component model , 1999 .

[12]  R. Johnston,et al.  Exploring the roles of the visual‐spatial sketch pad and central executive in children's arithmetical skills: Views from cognition and developmental neuropsychology , 1999 .

[13]  Working memory as a predictor of addition skills and addition strategies in children , 2004 .

[14]  André Vandierendonck,et al.  The development of strategy use in elementary school children: working memory and individual differences. , 2007, Journal of experimental child psychology.

[15]  André Vandierendonck,et al.  The role of working memory in the carry operation of mental arithmetic: Number and value of the carry , 2007, Quarterly journal of experimental psychology.

[16]  B. Ambridge,et al.  The structure of working memory from 4 to 15 years of age. , 2004, Developmental psychology.

[17]  D. Pearson,et al.  The Inner Eye and the Inner Scribe of Visuo-spatial Working Memory: Evidence from Developmental Fractionation , 1997 .

[18]  H. Swanson Cognitive processes that underlie mathematical precociousness in young children. , 2006, Journal of experimental child psychology.

[19]  R. Wagner,et al.  The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: a longitudinal study from second to fifth grades. , 2001, Journal of experimental child psychology.

[20]  J. LeFevre,et al.  Phonological and visual working memory in mental addition , 2003, Memory & cognition.

[21]  G J Hitch,et al.  Working memory and children's mental addition. , 1997, Journal of experimental child psychology.

[22]  S. Dehaene,et al.  The Number Sense: How the Mind Creates Mathematics. , 1998 .

[23]  Kyoung-Min Lee,et al.  Arithmetic operation and working memory: differential suppression in dual tasks , 2002, Cognition.

[24]  G. Scerif,et al.  Executive Functioning as a Predictor of Children's Mathematics Ability: Inhibition, Switching, and Working Memory , 2001, Developmental neuropsychology.

[25]  S. Sluis,et al.  Working Memory in Dutch Children with Reading- and Arithmetic-Related LD , 2005 .

[26]  G. Hitch,et al.  Separate roles for executive and phonological components of working memory in mental arithmetic , 2000, Memory & cognition.

[27]  L. Swanson,et al.  Working memory, short-term memory, and naming speed as predictors of children's mathematical performance , 2007 .

[28]  L. Siegel,et al.  The development of working memory in normally achieving and subtypes of learning disabled children. , 1989, Child development.

[29]  P. Carpenter,et al.  Individual differences in working memory and reading , 1980 .

[30]  L. Siegel,et al.  Working memory and access to numerical information in children with disability in mathematics. , 2004, Journal of experimental child psychology.

[31]  D. Geary Mathematical disabilities: cognitive, neuropsychological, and genetic components. , 1993, Psychological bulletin.

[32]  Charles Hulme,et al.  The cognitive foundations of reading and arithmetic skills in 7- to 10-year-olds. , 2005, Journal of experimental child psychology.

[33]  Jacob Cohen,et al.  Applied multiple regression/correlation analysis for the behavioral sciences , 1979 .

[34]  S. Pickering,et al.  Assessment of Working Memory in Six- and Seven-Year-Old Children. , 2000 .

[35]  Mary K. Hoard,et al.  Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability. , 2007, Child development.

[36]  Rebecca Bull,et al.  The effects of phonological and visual-spatial interference on children’s arithmetical performance , 2003, Educational and Child Psychology.

[37]  R. Siegler Emerging Minds: The Process of Change in Children's Thinking , 1996 .

[38]  A. Baddeley,et al.  Pattern span: a tool for unwelding visuo–spatial memory , 1999, Neuropsychologia.

[39]  B. Butterworth The development of arithmetical abilities. , 2005, Journal of child psychology and psychiatry, and allied disciplines.

[40]  J. Bisanz,et al.  Representation and working memory in early arithmetic. , 2005, Journal of experimental child psychology.

[41]  John W. Adams,et al.  The relationship between visuospatial sketchpad capacity and children's mathematical skills , 2008 .

[42]  G J Hitch,et al.  Working memory impairments in children with specific arithmetic learning difficulties. , 1999, Journal of experimental child psychology.

[43]  Mm. Liabre Standard Progressive Matrices , 1984 .

[44]  Lieven Verschaffel,et al.  Basic number processing and difficulties in single-digit arithmetic: Evidence from Velo-Cardio-Facial Syndrome , 2009, Cortex.

[45]  S. Dehaene,et al.  THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING , 2003, Cognitive neuropsychology.

[46]  R. Case,et al.  Operational efficiency and the growth of short-term memory span , 1982 .

[47]  R. Johnston,et al.  Children's arithmetical difficulties: contributions from processing speed, item identification, and short-term memory. , 1997, Journal of experimental child psychology.

[48]  Daniel Ansari,et al.  Mapping numerical magnitudes onto symbols: the numerical distance effect and individual differences in children's mathematics achievement. , 2009, Journal of experimental child psychology.

[49]  H. Swanson,et al.  The Relationship Between Working Memory and Mathematical Problem Solving in Children at Risk and Not at Risk for Serious Math Difficulties , 2004 .

[50]  A. Miyake,et al.  Models of Working Memory: Mechanisms of Active Maintenance and Executive Control , 1999 .

[51]  André Vandierendonck,et al.  The role of phonological and executive working memory resources in simple arithmetic strategies , 2007 .

[52]  Brian Butterworth,et al.  Developmental dyscalculia and basic numerical capacities: a study of 8–9-year-old students , 2004, Cognition.

[53]  E. McAuley,et al.  Working memory in children with specific arithmetical learning difficulties. , 1991, British journal of psychology.

[54]  S. Pickering,et al.  Working memory deficits in children with low achievements in the national curriculum at 7 years of age. , 2000, The British journal of educational psychology.

[55]  Mary K. Hoard,et al.  Numerical and arithmetical cognition: a longitudinal study of process and concept deficits in children with learning disability. , 2000, Journal of experimental child psychology.