Domain-specific and domain-general precursors of mathematical achievement: a longitudinal study from kindergarten to first grade.

BACKGROUND Many contributing factors, both domain specific and domain general, influence children's performance in school achievement. AIMS This research aims to verify the importance of kindergarten measures of cognitive abilities and numerical competence in the role of predicting mathematical school achievement at the end of first grade. SAMPLE AND METHODS A total of 70 children (38 females and 32 males) took part in the study. We tested the children at the beginning of their last year of kindergarten (time 1) on the following cognitive abilities: IQ, phonology, counting skills, verbal short-term memory, visuo-spatial short-term memory, working memory, and processing speed. Then, we tested the same children at end of their last year of kindergarten (time 2) on a measure of numerical competence and at the end of their first year of primary school (time 3) on a test of math achievement. RESULTS Path analysis models revealed the direct influence of working memory and processing speed on predicting numerical competence in pre-schoolers and the influence of processing speed and verbal IQ on predicting math achievement in first graders. Moreover, this study found a direct link between numerical competence and math achievement. CONCLUSIONS Both domain-specific and domain-general factors contribute to determining math achievement at the end of first grade.

[1]  F. Simmons,et al.  Brief report—Phonological awareness and visual-spatial sketchpad functioning predict early arithmetic attainment: Evidence from a longitudinal study , 2008 .

[2]  Wolfgang Schneider,et al.  Early Development of Quantity to Number-Word Linkage as a Precursor of Mathematical School Achievement and Mathematical Difficulties: Findings from a Four-Year Longitudinal Study. , 2009 .

[3]  Lieven Verschaffel,et al.  Working memory and individual differences in mathematics achievement: a longitudinal study from first grade to second grade. , 2009, Journal of experimental child psychology.

[4]  T. Keith,et al.  Beyond "g": The Impact of "Gf-Gc" Specific Cognitive Abilities Research on the Future Use and Interpretation of Intelligence Test Batteries in the Schools. , 1997 .

[5]  S. Gathercole,et al.  Executive functions and achievements in school: Shifting, updating, inhibition, and working memory , 2006, Quarterly journal of experimental psychology.

[6]  S. Gathercole,et al.  Working memory in children with reading disabilities. , 2006, Journal of experimental child psychology.

[7]  J. Oakhill,et al.  The relation between phonological awareness and working memory. , 2000, Journal of experimental child psychology.

[8]  J. Sattler Assessment of children, 3rd ed. , 1988 .

[9]  R. Shalev Prevalence of developmental dyscalculia. , 2007 .

[10]  Francesca Pazzaglia,et al.  Increases in Intrusion Errors and Working Memory Deficit of Poor Comprehenders , 1998, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[11]  Nancy C. Jordan,et al.  Number sense growth in kindergarten: a longitudinal investigation of children at risk for mathematics difficulties. , 2006, Child development.

[12]  M. Mazzocco,et al.  A Longitudinal Assessment of Executive Function Skills and Their Association with Math Performance , 2007, Child neuropsychology : a journal on normal and abnormal development in childhood and adolescence.

[13]  Barbara J. Wendling,et al.  Woodcock-Johnson III Tests of Achievement. , 2009 .

[14]  H. Levin,et al.  The Psychological Construct of Word Fluency , 1997, Brain and Language.

[15]  L. Siegel,et al.  Short-term memory, working memory, and inhibitory control in children with difficulties in arithmetic problem solving. , 2001, Journal of experimental child psychology.

[16]  L. Henry,et al.  Working memory span and phonological awareness tasks as predictors of early reading ability. , 1994, Journal of experimental child psychology.

[17]  P. D. de Jong,et al.  Phonological sensitivity and the acquisition of new words in children. , 2000, Journal of experimental child psychology.

[18]  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.

[19]  M. J. Emerson,et al.  The Unity and Diversity of Executive Functions and Their Contributions to Complex “Frontal Lobe” Tasks: A Latent Variable Analysis , 2000, Cognitive Psychology.

[20]  D. Geary,et al.  Development of arithmetical competencies in Chinese and American children: influence of age, language, and schooling. , 1996, Child development.

[21]  M. Maybery,et al.  Relationships between facets of working memory and performance on a curriculum-based mathematics test in children , 2003, Educational and Child Psychology.

[22]  S. Wiebe,et al.  Short-Term Memory, Working Memory, and Executive Functioning in Preschoolers: Longitudinal Predictors of Mathematical Achievement at Age 7 Years , 2008, Developmental neuropsychology.

[23]  Lynn S. Fuchs,et al.  The Prevention, Identification, and Cognitive Determinants of Math Difficulty. , 2005 .

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

[25]  I. Mammarella,et al.  Cognitive Abilities as Precursors of the Early Acquisition of Mathematical Skills During First Through Second Grades , 2008, Developmental neuropsychology.

[26]  Annemie Desoete,et al.  Numerical competence in young children and in children with mathematics learning disabilities , 2006 .

[27]  Lynn S. Fuchs,et al.  The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems , 2006 .

[28]  I. Mammarella,et al.  Selective Spatial Working Memory Impairment in a Group of Children With Mathematics Learning Disabilities and Poor Problem-Solving Skills , 2012, Journal of learning disabilities.

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

[30]  Karl G. Jöreskog,et al.  Lisrel 8: User's Reference Guide , 1997 .

[31]  Ian J. Deary,et al.  Looking down on human intelligence , 2000 .

[32]  T. Senn,et al.  The Contribution of Executive Functions to Emergent Mathematic Skills in Preschool Children , 2004, Developmental neuropsychology.

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

[34]  J. V. Van Luit,et al.  The Construction of the Utrecht Early Mathematical Competence Scales , 1999 .

[35]  A. Baddeley Exploring the Central Executive , 1996 .

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

[37]  A. van der Leij,et al.  Specific contributions of phonological abilities to early reading acquisition: Results from a Dutch latent variable longitudinal study , 1999 .

[38]  A. Baddeley The episodic buffer: a new component of working memory? , 2000, Trends in Cognitive Sciences.

[39]  Russell Gersten,et al.  Early Identification and Interventions for Students With Mathematics Difficulties , 2005, Journal of learning disabilities.

[40]  C. Blair,et al.  Relating effortful control, executive function, and false belief understanding to emerging math and literacy ability in kindergarten. , 2007, Child development.

[41]  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.

[42]  Cesare Cornoldi,et al.  Verbal and visuospatial working memory deficits in children with Down syndrome. , 2004, American journal of mental retardation : AJMR.

[43]  H. Swanson,et al.  Issues Facing the Field of Learning Disabilities , 2000 .

[44]  Karl G. Jöreskog,et al.  Lisrel 8: Structural Equation Modeling With the Simplis Command Language , 1993 .

[45]  C. Cornoldi,et al.  A specific deficit in visuospatial simultaneous working memory in Down syndrome. , 2009, Journal of intellectual disability research : JIDR.

[46]  Orly Manor,et al.  Developmental dyscalculia: a prospective six‐year follow‐up , 2005, Developmental medicine and child neurology.

[47]  M. Passolunghi,et al.  Naming speed and effortful and automatic inhibition in children with arithmetic learning disabilities , 2009 .

[48]  T. Salthouse,et al.  Influence of working memory on adult age differences in matrix reasoning. , 1993, British journal of psychology.

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

[50]  A. Jensen,et al.  The g factor , 1996, Nature.

[51]  Erno Lehtinen,et al.  Spontaneous focusing on numerosity as a domain-specific predictor of arithmetical skills. , 2010, Journal of experimental child psychology.

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

[53]  Y Okamoto,et al.  Exploring the microstructure of children's central conceptual structures in the domain of number. , 2008, Monographs of the Society for Research in Child Development.

[54]  Susan E. Gathercole,et al.  Working memory and phonological awareness as predictors of progress towards early learning goals at school entry , 2005 .

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

[56]  Cesare Cornoldi,et al.  Working memory and intrusions of irrelevant information in a group of specific poor problem solvers , 1999, Memory & cognition.

[57]  C. Cornoldi,et al.  Working Memory In Individuals With Fragile X Syndrome , 2009, Child neuropsychology : a journal on normal and abnormal development in childhood and adolescence.

[58]  W. Schneider,et al.  Exploring the impact of phonological awareness, visual-spatial working memory, and preschool quantity-number competencies on mathematics achievement in elementary school: findings from a 3-year longitudinal study. , 2009, Journal of experimental child psychology.

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

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

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

[62]  R. Kail,et al.  Distinguishing short-term memory from working memory , 2001, Memory & cognition.

[63]  J. Sattler,et al.  Assessment of Children's Intelligence , 1974 .

[64]  W. Barbaresi,et al.  Math learning disorder: incidence in a population-based birth cohort, 1976-82, Rochester, Minn. , 2005, Ambulatory pediatrics : the official journal of the Ambulatory Pediatric Association.

[65]  Robbie Case,et al.  Intellectual development : birth to adulthood , 1985 .

[66]  E. Kroesbergen,et al.  Individual Differences in Early Numeracy , 2009 .

[67]  I. Mammarella,et al.  Spatial and visual working memory ability in children with difficulties in arithmetic word problem solving , 2010 .

[68]  Mary K. Hoard,et al.  Numerical and arithmetical cognition: patterns of functions and deficits in children at risk for a mathematical disability. , 1999, Journal of experimental child psychology.

[69]  S. Lanfranchi,et al.  Working Memory and Cognitive Skills in Individuals with Down Syndrome , 2009, Child neuropsychology : a journal on normal and abnormal development in childhood and adolescence.

[70]  Pirjo Aunio,et al.  Visuospatial working memory and early numeracy , 2003, Educational and Child Psychology.

[71]  F. Newcombe,et al.  Missile wounds of the brain: a study of psychological deficits , 1969 .