Explaining numeracy development in weak performing kindergartners

Journal of Experimental Child Psychology

Volumn 124, Issue 1, 2014, Pages 97-111

  Toll, Sylke W M ^a   Van Luit, Johannes E H ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Comparison skills; Early numeracy; Kindergarten; Math difficulties; Specific math language; Working memory

Indexed keywords

CHILD DEVELOPMENT; CHILD PSYCHOLOGY; CONCEPT FORMATION; EDUCATIONAL STATUS; FEMALE; HUMAN; MALE; MATHEMATICS; NEUROPSYCHOLOGICAL TEST; PRESCHOOL CHILD; SHORT TERM MEMORY;

CHILD DEVELOPMENT; CHILD, PRESCHOOL; CONCEPT FORMATION; EDUCATIONAL STATUS; FEMALE; HUMANS; MALE; MATHEMATICS; MEMORY, SHORT-TERM; NEUROPSYCHOLOGICAL TESTS; PSYCHOLOGY, CHILD;

EID: 84899669354     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2014.02.001     Document Type: Article

References (86)

1. Alloway T.P. Automated working memory assessment (AWMA) 2007, Pearson Assessment, London.
2. Alloway T.P., Gathercole S.E., Kirkwood H., Elliott J. Evaluating the validity of the automated working memory assessment. Educational Psychology 2008, 28:725-734.
3. Alloway T.P., Gathercole S.E., Pickering S.J. Verbal and visuospatial short-term and working memory in children: Are they separable?. Child Development 2006, 77:1698-1716.
4. Alloway T.P., Gathercole S.E., Willis C., Adams A.M. A structural analysis of working memory and related cognitive skills in young children. Journal of Experimental Child Psychology 2004, 87:85-106.
5. Andersson U., Lyxell B. Working memory deficit in children with mathematical difficulties: A general or specific deficit?. Journal of Experimental Child Psychology 2007, 96:197-228.
6. Aunio P., Hautamäki J., Sajaniemi N., Van Luit J.E.H. Early numeracy in low-performing young children. British Educational Research Journal 2009, 35:25-46.
7. Aunola K., Leskinen E., Lerkkanen M., Nurmi J. Developmental dynamics of math performance from preschool to Grade 2. Journal of Educational Psychology 2004, 96:699-713.
8. Baddeley A.D. Working memory 1986, Oxford University Press, Oxford, UK.
9. Baddeley A.D., Hitch G.J. Working memory. The psychology of learning and motivation 1974, 47-89. Academic Press, New York. G.H. Bower (Ed.).
10. Barnes M.A., Raghubar K.P., English L., Williams J.M., Taylor H., Landry S. Longitudinal mediators of achievement in mathematics and reading in typical and atypical development. Journal of Experimental Child Psychology 2014, 119:1-16.
11. Barth H., La Mont K., Lipton J., Spelke E.S. Abstract number and arithmetic in preschool children. Proceedings of the National academy of Sciences of the United States of America 2005, 102:14116-14121.
12. Biesanz J.C., Deeb-Sossa N., Papadakis A.A., Bollen K.A., Curran P.J. The role of coding time in estimating and interpreting growth curve models. Psychological Methods 2004, 9:30-52.
13. Bisanz J., Sherman J.L., Rasmussen C., Ho E. Development of arithmetic skills and knowledge in preschool children. Handbook of mathematical cognition 2005, 143-162. Psychology Press, New York. J.I.D. Campbell (Ed.).
14. Blunch N.J. Introduction to structural equation modelling using SPSS and AMOS 2008, Sage, Thousand Oaks, CA.
15. Boonen A.J.H., Kolkman M.E., Kroesbergen E.H. The relation between teachers' math talk and the acquisition of number sense within kindergarten classrooms. Journal of School Psychology 2011, 49:281-299.
16. Byrne B.M. Structural equation modeling with Mplus: Basic concepts, applications, and programming 2012, Routledge, New York.
17. Clarke B., Shinn M.R. A preliminary investigation into the identification and development of early mathematics curriculum-based measurement. School Psychology Review 2004, 33:234-248.
18. De Smedt B., Janssen R., Bouwens K., Verschaffel L., Boets B., Ghesquière P. Working memory and individual differences in mathematics achievement: A longitudinal study from first grade to second grade. Journal of Experimental Child Psychology 2009, 103:186-201.
19. Defever E., Sasanguie D., Gebuis T., Reynvoet B. Children's representation of symbolic and nonsymbolic magnitude examined with the priming paradigm. Journal of Experimental Child Psychology 2011, 109:174-186.
20. Dehaene S. Varieties of numerical abilities. Cognition 1992, 44:1-42.
21. Dehaene S. Précis of the number sense. Mind & Language 2001, 16:16-36.
22. Dehaene S., Bossini S., Giraux P. The mental representation of parity and number magnitude. Journal of Experimental Psychology: General 1993, 122:371-396.
23. Desoete A., Ceulemans A., De Weerdt F., Pieters S. Can we predict mathematical learning disabilities from symbolic and non-symbolic comparison tasks in kindergarten? Findings from a longitudinal study. British Journal of Educational Psychology 2012, 82:64-81.
24. Desoete A., Grégoire J. Numerical competence in young children and in children with mathematics learning disabilities. Learning and Individual Differences 2006, 16:351-367.
25. Desoete A., Roeyers H., De Clercq A. Children with mathematics learning disabilities in Belgium. Journal of Learning Disabilities 2004, 37:50-61.
26. DiPerna J.C., Lei P., Reid E.E. Kindergarten predictors of mathematical growth in the primary grades: An investigation using the Early Childhood Longitudinal Study-Kindergarten Cohort. Journal of Educational Psychology 2007, 99:369-379.
27. Dowker A. Early identification and intervention for students with mathematics difficulties. Journal of Learning Disabilities 2005, 38:324-332.
28. Espy K.A., McDiarmid M.M., Cwik M.F., Stalets M.M., Hamby A., Senn T. The contribution of executive functions to emergent mathematic skills in preschool children. Developmental Neuropsychology 2004, 26:465-486.
29. Feigenson L., Dehaene S., Spelke E. Core systems of number. Trends in Cognitive Sciences 2004, 8:307-314.
30. Fisher P.H., Dobbs-Oates J., Doctoroff G.L., Arnold D.H. Early math interest and the development of math skills. Journal of Educational Psychology 2012, 104:673-681.
31. Friso-van den Bos I., Van der Ven S.H.G., Kroesbergen E.H., Van Luit J.E.H. Working memory and mathematics in primary school children: A meta-analysis. Educational Research Review 2013, 10:29-44.
32. Fuchs L.S., Fuchs D., Compton D.L. The early prevention of mathematics difficulty: Its power and limitations. Journal of Learning Disabilities 2012, 45:267-289.
33. Fuchs L.S., Powell S.R., Seethaler P.M., Cirino P.T., Fletcher J.M., Fuchs D., et al. The effects of strategic counting instruction, with and without deliberate practice, on number combination skill among students with mathematics difficulties. Learning and Individual Differences 2010, 20:89-100.
34. Geary D. Early foundations for mathematics learning and their relations to learning. Current Directions in Psychological Science 2013, 22:23-27.
35. Geary D.C., Hoard M.K., Byrd-Craven J., Nugent L., Numtee C. Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability. Child Development 2007, 78:1343-1359.
36. Gebuis T., Cohen Kadosh R., De Haan E., Henik A. Automatic quantity processing in 5-year olds and adults. Cognitive Processing 2009, 10:133-142.
37. Gelman R., Butterworth B. Number and language: How are they related?. Trends in Cognitive Sciences 2005, 9:6-10.
38. Gersten R., Jordan N.C., Flojo J.R. Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities 2005, 38:293-304.
39. Gilmore C.K., McCarthy S.E., Spelke E.S. Non-symbolic arithmetic abilities and mathematics achievement in the first year of formal schooling. Cognition 2010, 115:394-406.
40. Ginsburg H.P., Lee J.S., Boyd J.S. Mathematics education for young children: What it is and how to promote it 2008, Society for Research in Child Development, Ann Arbor, MI.
41. Halberda J., Taing L., Lidz J. The development of "most" comprehension and its potential dependence on counting ability in preschoolers. Language Learning and Development 2008, 4:99-121.
42. Hauser M.D., Chomsky N., Fitch W.T. The faculty of language: What is it, who has it, and how did it evolve?. Science 2002, 298:1569-1579.
43. Holloway I.D., Ansari D. Mapping numerical magnitudes onto symbols: The numerical distance effect and individual differences in children's mathematics achievement. Journal of Experimental Child Psychology 2009, 103:17-29.
44. Hox J. Multilevel analysis: Techniques and applications 2010, Lawrence Erlbaum, Mahwah, NJ.
45. Hox J., Van de Schoot R., Matthijsse S. How few countries will do? Comparative survey analysis from a Bayesian perspective. Survey Research Methods 2012, 6:87-93.
46. Hutcheson G., Sofroniou N. The multivariate social scientist: Introductory statistics using generalized linear models 1999, Sage, Thousand Oaks, CA.
47. Inglis M., Attridge N., Batchelor S., Gilmore C. Non-verbal number acuity correlates with symbolic mathematics achievement: But only in children. Psychonomic Bulletin & Review 2011, 18:1222-1229.
48. Iuculano T., Tang J., Hall C.W.B., Butterworth B. Core information processing deficits in developmental dyscalculia and low numeracy. Developmental Science 2008, 11:669-680.
49. Jordan N.C., Glutting J., Dyson N., Hassinger-Das B., Irwin C. Building kindergartners' number sense: A randomized controlled study. Journal of Educational Psychology 2012, 104:647-660.
50. Jordan N.C., Kaplan D., Ramineni C., Locuniak M.N. Early math matters: Kindergarten number competence and later mathematics outcomes. Developmental Psychology 2009, 45:850-867.
51. Klein J.S., Bisanz J. Preschoolers doing arithmetic: The concepts are willing but the working memory is weak. Canadian Journal of Experimental Psychology 2000, 54:105-115.
52. Klibanoff R.S., Levine S.C., Huttenlocher J., Vasilyeva M., Hedges L.V. Preschool children's mathematical knowledge: The effect of teacher "math talk". Developmental Psychology 2006, 42:59-68.
53. Krajewski K., Schneider W. 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. Learning and Instruction 2009, 19:513-526.
54. Kroesbergen E.H., Van de Rijt B.A.M., Van Luit J.E.H. Working memory and early mathematics: Possibilities for early identification of mathematics learning disabilities. Advances in Learning and Behavioral Disabilities 2007, 20:1-19.
55. Kroesbergen E.H., Van Luit J.E.H., Van Lieshout E.C.D.M., Van Loosbroek E., Van de Rijt B.A.M. Individual differences in early numeracy: The role of executive functions and subitizing. Journal of Psychoeducational Assessment 2009, 27:226-236.
56. Kyttälä M., Aunio P., Lehto J.E., Van Luit J.E.H., Hautamäki J. Visuospatial working memory and early numeracy. Educational and Child Psychology 2003, 20:65-76.
57. Lansdell J.M. Introducing young children to mathematical concepts: Problems with "new" terminology. Educational Studies 1999, 25:327-333.
58. LeFevre J.A., Fast L., Skwarchuk S.L., Smith-Chant B.L., Bisanz J., Kamawar D., et al. Pathways to mathematics: Longitudinal predictors of performance. Child Development 2010, 81:1753-1767.
59. MacCallum R.C. The need for alternative measures of fit in covariance structure modeling. Multivariate Behavioral Research 1990, 25:157-162.
60. Malofeeva E., Day J., Saco X., Young L., Ciancio D. Construction and evaluation of a number sense test with Head Start children. Journal of Educational Psychology 2004, 96:648-659.
61. Maloney E.A., Risko E.F., Preston F., Ansari D., Fugelsang J. Challenging the reliability and validity of cognitive measures: The case of the numerical distance effect. Acta Psychologica 2010, 134:154-161.
62. Mazzocco M.M.M., Feigenson L., Halberda J. Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia). Child Development 2011, 82:1224-1237.
63. Moeller K., Pixner S., Zuber J., Kaufmann L., Nuerk H.-C. Early place-value understanding as a precursor for later arithmetic performance: A longitudinal study on numerical development. Research in Developmental Disabilities 2011, 32:1837-1851.
64. Muthén L.K., Muthén B.O. Mplus user's guide 1998-2010, Muthén & Muthén, Los Angeles. 6th ed.
65. Noël M.P. Counting on working memory when learning to count and to add: A preschool study. Developmental Psychology 2009, 45:1630-1643.
66. Passolunghi M.C., Lanfranchi S. Domain-specific and domain-general precursors of mathematical achievement: A longitudinal study from kindergarten to first grade. British Journal of Educational Psychology 2012, 82:42-63.
67. Passolunghi M.C., Vercelloni B., Schadee H. The precursors of mathematics learning: Working memory, phonological ability, and numerical competence. Cognitive Development 2007, 22:165-184.
68. Piazza M., Facoetti A., Trussardi A.N., Berteletti I., Conte S., Lucangeli D., et al. Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. Cognition 2010, 116:33-41.
69. Raghubar K.P., Barnes M.A., Hecht S.A. Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences 2010, 20:110-122.
70. Rousselle L., Noël M.P. Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude processing. Cognition 2007, 102:361-395.
71. Schleppegrell M.J. Language in mathematics teaching and learning. Language and mathematics education: Multiple perspectives and directions for research 2010, 73-112. Information Age, Charlotte, NC. J.N. Moschkovich (Ed.).
72. Siegler R.S., Opfer J.E. The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science 2003, 14:237-250.
73. Stapleton L.M. Using multilevel structural equation modeling techniques with complex sample data. Structural equation modeling: A second course 2006, 345-383. Information Age, Greenwich, CT. G.R. Hancock, R.O. Mueller (Eds.).
74. Stock P., Desoete A., Roeyers H. Detecting children with arithmetic disabilities from kindergarten: Evidence from a 3-year longitudinal study on the role of preparatory arithmetic abilities. Journal of Learning Disabilities 2010, 43:250-268.
75. Swanson H.L., Jerman O. Math disabilities: A selective meta-analysis of the literature. Review of Educational Research 2006, 76:249-274.
76. Tabachnick B.G., Fidell L.S. Using multivariate statistics 2006, Pearson, Boston.
77. Toll S.W.M., Van der Ven S.H.G., Kroesbergen E.H., Van Luit J.E.H. Executive functions as predictors of math learning disabilities. Journal of Learning Disabilities 2011, 44:521-532.
78. Van de Rijt B.A.M., Van Luit J.E.H. Milestones in the development of infant numeracy. Scandinavian Journal of Psychology 1999, 40:65-71.
79. Van Luit J.E.H., Van de Rijt B.A.M. Utrechtse Getalbegrip Toets-Revised 2009, [Early numeracy test-revised], Graviant, Doetinchem, The Netherlands.
80. Verhoeven L., Vermeer A. Taaltoets Alle Kinderen: Handleiding 1993, [Language test for all children: Manual], Cito, Arnhem, The Netherlands.
81. Verhoeven L., Vermeer A. Taaltoets Alle Kinderen: Verantwoording 2006, [Language test for all children: Justification], Cito, Arnhem, The Netherlands.
82. Von Aster M., Schweiter M., Zulauf M.W. Developmental dyscalculia: Precursors, prevalence, and comorbidity. Zeitschrift fur Entwicklungspsychologie und Padagogische Psychologie 2007, 39:85-96.
83. Von Aster M.G., Shalev R.S. Number development and developmental dyscalculia. Developmental Medicine and Child Neurology 2007, 49:868-873.
84. Welsh J.A., Nix R.L., Blair C., Bierman K.L., Nelson K.E. The development of cognitive skills and gains in academic school readiness for children from low-income families. Journal of Educational Psychology 2010, 102:43-53.
85. Wilson K.M., Swanson H.L. Are mathematics disabilities due to a domain-general or domain-specific working memory deficit?. Journal of Learning Disabilities 2001, 34:237-248.
86. Wothke W. Longitudinal and multigroup modeling with missing data. Modeling longitudinal and multilevel data: Practical issues, applied approaches, and specific examples 2000, 219-240. Lawrence Erlbaum, Mahwah, NJ. T.D. Little (Ed.).