The interrelationships of mathematical precursors in kindergarten

Journal of Experimental Child Psychology

Volumn 108, Issue 4, 2011, Pages 713-733

  Cirino, Paul T ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

Cognitive; Kindergarten; Latent variable modeling; Mathematics; Number sense; Precursors

Indexed keywords

ACHIEVEMENT; ARTICLE; ATTENTION; CHILD; COGNITION; COHORT ANALYSIS; CONCEPT FORMATION; DEPTH PERCEPTION; FACTORIAL ANALYSIS; FEMALE; HUMAN; LINGUISTICS; MALE; MATHEMATICS; PATTERN RECOGNITION; PHONETICS; PHYSIOLOGY; PSYCHOMOTOR PERFORMANCE; SHORT TERM MEMORY;

ACHIEVEMENT; ATTENTION; CHILD; COGNITION; COHORT STUDIES; CONCEPT FORMATION; FACTOR ANALYSIS, STATISTICAL; FEMALE; HUMANS; LINGUISTICS; MALE; MATHEMATICS; MEMORY, SHORT-TERM; PATTERN RECOGNITION, VISUAL; PHONETICS; PSYCHOMOTOR PERFORMANCE; SPACE PERCEPTION;

EID: 79951722295     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2010.11.004     Document Type: Article

References (83)

1. Ackerman P.T., Dykman R.A. Phonological processes, confrontation naming, and immediate memory in dyslexia. Journal of Learning Disabilities 1993, 26:597-609.
2. Alloway T.P., Gathercole S.E., Pickering S.J. Verbal and visuo-spatial short-term and working memory in children: Are they separable?. Child Development 2006, 77:1698-1716.
3. Anthony J.L., Lonigan C.J., Burgess S.R., Driscoll Bacon K., Phillips B.M., Cantor B.G. Structure of preschool phonological sensitivity: Overlapping sensitivity to rhyme, words, syllables, and phonemes. Journal of Experimental Child Psychology 2002, 82:65-92.
4. Baddeley A.D., Hitch G.J. Working memory. The psychology of learning and motivation 1974, Vol. 8:47-90. Academic Press, New York.
5. Baddeley A.D., Hitch G.J. Developments in the concept of working memory. Neuropsychology 1994, 8:485-493.
6. Badian N.A. Persistent arithmetic, reading, or arithmetic and reading disability. Annals of Dyslexia 1999, 49:45-70.
7. Barbaresi W.J., Katusic S.K., Colligan R.C., Weaver A.L., Jacobsen S.J. Math learning disorder: Incidence in a population-based birth cohort, 1976-1982, Rochester, Minn. Ambulatory Pediatrics 2005, 5:281-289.
8. Berch D.B. Making sense of number sense: Implications for children with mathematical disabilities. Journal of Learning Disabilities 2005, 38:333-339.
9. Berch D.B. Working memory and mathematical cognitive development: Limitations of limited capacity resource models. Developmental Neuropsychology 2008, 33:427-446.
10. Bull R., Espy K.A., Wiebe S.A. Short-term memory, working memory, and executive functioning in preschoolers: Longitudinal predictors of mathematical achievement at age 7 years. Developmental Neuropsychology 2008, 33:205-228.
11. Bull R., Scerif G. Executive functioning as a predictor of children's mathematics ability: Inhibition, switching, and working memory. Developmental Neuropsychology 2001, 19:273-293.
12. Butterworth B. The development of arithmetic abilities. Journal of Child Psychology and Psychiatry 2005, 46:3-18.
13. Cirino P.T. Relation of working memory and inhibition to executive function and academic skill. Journal of the International Neuropsychological Society 2002, 8:230.
14. Clarke B., Baker S., Smolkowski K., Chard D. An analysis of early numeracy curriculum-based measurement: Examining the role of growth in student outcomes. Remedial and Special Education 2008, 29:46-57.
15. Clarke B., Shinn M.R. Test of Early Numeracy (TEN): Administration and scoring of AIMSweb Early Numeracy measures for use with AIMSweb 2002, Edformation, Eden Prairie, MN.
16. Clarke B., Shinn M. A preliminary investigation into the identification and development of early mathematics curriculum-based measurement. School Psychology Review 2004, 33:234-248.
17. Clements D.H., Samara J. Experimental evaluation of the effects of a research-based preschool mathematics curriculum. American Educational Research Journal 2008, 45:443-494.
18. Conway A.R.A., Kane M.J., Bunting M.F., Hambrick D.Z., Wilhelm O., Engle R.W. Working memory span tasks: A methodological review and user's guide. Psychonomic Bulletin & Review 2005, 12:769-786.
19. Cornwall A. The relationship of phonological awareness, rapid naming, and verbal memory to severe reading and spelling disability. Journal of Learning Disabilities 1992, 25:532-538.
20. De Smedt B., Janssen R., Bouwens K., Verschaffel L., Boets B., Ghesquiere 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.
21. Dehaene S. Precis of the number sense. Mind & Language 2001, 16:16-36.
22. Dehaene S., Piazza M., Pinel P., Cohen L. Three parietal circuits for number processing. Cognitive Neuropsychology 2003, 20:487-506.
23. Denckla M.B., Rudel R.G. Rapid automatized naming (R.A.N.): Dyslexia differentiated from other learning disabilities. Neuropsychologia 1976, 14:471-479.
24. Duncan G.J., Dowsett C.J., Claessens A., Magnuson K., Huston A.C., Klebanov P., et al. School readiness and later achievement. Developmental Psychology 2007, 43:1428-1446.
25. Feigenson L., Dehaene S., Spelke E. Core systems of number. Trends in Cognitive Science 2004, 8:307-314.
26. Gathercole S.E., Pickering S.J. Assessment of working memory in six- and seven-year-old children. Journal of Educational Psychology 2000, 92:377-390.
27. Geary D.C. Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin 1993, 114:345-362.
28. Geary D.C. Mathematics and learning disabilities. Journal of Learning Disabilities 2004, 37:4-15.
29. Geary D.C., Bailey D.H., Hoard M.K. Predicting mathematical achievement and mathematical learning disability with a simple screening tool: The Number Sets Test. Journal of Psychoeducational Assessment 2009, 27:265-279.
30. Geary D.C., Brown S.C., Samaranayake V.A. Cognitive addition: A short longitudinal study of strategy choice and speed of processing differences in normal and mathematically disabled children. Developmental Psychology 1991, 27:787-797.
31. Geary D.C., Hamson C.O., Hoard M.K. Numerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disability. Journal of Experimental Child Psychology 2000, 77:236-263.
32. Geary D.C., Hoard M.K., Byrd-Craven J., Numtee C. Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability. Child Development 2007, 78:1343-1359.
33. Geary D.C., Hoard M.K., Hamson C.O. Numerical and arithmetical cognition: Patterns of functions and deficits in children at risk for a mathematical disability. Journal of Experimental Child Psychology 1999, 74:213-239.
34. Gelman R., Gallistel C.R. The child's understanding of number 1978, Harvard University Press, Cambridge, MA.
35. Gersten R., Chard D. Number sense: Rethinking arithmetic instruction for students with mathematical disabilities. Journal of Special Education 1999, 33:18-28.
36. 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.
37. Ginsburg H.P., Baroody A.J. Test of Early Mathematics Ability (TEMA-3) 2003, Pro-Ed, Austin, TX.
38. Greeno J.G. Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education 1991, 22:170-218.
39. Halberda J., Mazzocco M.M.M., Feigensen L. Individual differences in non-verbal number acuity correlate with math achievement. Nature 2008, 455:665-668.
40. Hecht S.A., Torgesen J.K., Wagner R.K., Rashotte C.A. The relations of phonological processing abilities and emerging individual differences in mathematical skills: A longitudinal study from second to fifth grades. Journal of Experimental Child Psychology 2001, 79:192-227.
41. Holloway I.D., Ansari D. Mapping numerical magnitudes onto symbols: The numeric distance effect and individual differences in children's mathematical achievement. Journal of Child Experimental Psychology 2009, 103:17-29.
42. Huttenlocher J., Jordan N.C., Levine S.C. A mental model for early arithmetic. Journal of Experimental Psychology: General 1994, 123:284-296.
43. 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.
44. Jordan N., Hanich L. Characteristics of children with moderate mathematics deficiencies: A longitudinal perspective. Learning Disabilities Research and Practice 2003, 18:213-221.
45. Jordan N.C., Huttenlocher J., Levine S.C. Differential calculation abilities in young children from middle- and low-income families. Developmental Psychology 1992, 28:644-653.
46. Jordan N., Kaplan D., Hanich L. Achievement growth in children with learning difficulties in mathematics: Findings of a two-year longitudinal study. Journal of Educational Psychology 2002, 94:586-597.
47. Jordan N.C., Kaplan D., Locuniak M.N., Ramineni C. Predicting first-grade math achievement from developmental number sense trajectories. Learning Disabilities Research and Practice 2007, 22:36-46.
48. Jordan N.C., Kaplan D., Olah L.N., Locuniak M.N. Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematical difficulties. Child Development 2006, 77:153-175.
49. Jordan N.C., Kaplan D., Ramineni C., Locuniak M. Early math matters: Kindergarten number competence and later math outcomes. Developmental Psychology 2009, 45:850-867.
50. Kline R.B. Principles and practice of structural equation modeling 2005, Guilford, New York.
51. Koponen T., Aunola K., Ahonen T., Nurmi J. Cognitive predictors of single-digit and procedural calculation skills and their covariation with reading skills. Journal of Experimental Child Psychology 2007, 97:220-241.
52. Krajewski K., Schneider W. Exploring the impact of phonological awareness, visuo-spatial working memory, and preschool quantity-number competencies on mathematics achievement in elementary school: Findings from a 3-year longitudinal study. Journal of Experimental Child Psychology 2009, 103:516-531.
53. LeFevre J., Fast L., Skwarchuk S., Smith-Chant B., Bisanz J., Kamawar D., et al. Pathways to mathematics: Longitudinal predictors of performance. Child Development 2010, 81(6):1753-1767.
54. Lembke E., Foegen A. Identifying early numeracy indicators for kindergarten and first-grade students. Learning Disabilities Research and Practice 2009, 24:12-20.
55. Mardia K.V. Measures of multivariate skewness and kurtosis with applications. Biometrika 1970, 57:519-530.
56. McGrew K.S., Woodcock R.W. Woodcock-Johnson III technical manual 2001, Riverside, Itasca, IL.
57. McLean J.F., Hitch G.J. Working memory impairments in children with specific arithmetic learning difficulties. Journal of Experimental Child Psychology 1999, 74:240-260.
58. Miyake A., Friedman N.P., Emerson M.J., Witzki A.H., Howerter A., Wager T.D. The unity and diversity of executive functions and their contributions to complex "frontal lobe" tasks: A latent variable analysis. Cognitive Psychology 2000, 41:49-100.
59. Miyake A., Friedman N.P., Rettinger D.A., Shah P., Hegarty M. How are visuospatial working memory, executive functioning, and spatial abilities related? A latent variable analysis. Journal of Experimental Psychology: General 2001, 130:621-640.
60. Mundy E., Gilmore C.K. Children's mapping between symbolic and nonsymbolic representations of number. Journal of Experimental Child Psychology 2009, 103:490-502.
61. Muthén, L. K., & Muthén, B. O. (1998-2006). Mplus version 4.2 [computer software]. Author.
62. Passolunghi M.C., Siegel L.S. Short-term memory, working memory, and inhibitory control in children with difficulties in arithmetic problem solving. Journal of Experimental Child Psychology 2001, 80:44-57.
63. Posner M.I., Peterson S.E. The attention system of the human brain. Annual Review of Neuroscience 1990, 13:25-42.
64. Psychological Corporation Wechsler Individual Achievement Test manual 1992, Author, San Antonio, TX.
65. Raghubar K.P., Barnes M., Hecht S.A. Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences 2010, 20:110-122.
66. Ramani G.B., Siegler R.S. Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games. Child Development 2008, 79:375-394.
67. Rousselle L., Noël M.P. The development of automatic numerosity processing in preschoolers: Evidence for numerosity-perceptual interference. Developmental Psychology 2008, 44:544-560.
68. SAS Institute. (2002-2006). SAS release 9.1.3 [computer software]. Cary, NC: Author.
69. Schatschneider C., Fletcher J.M., Francis D.J., Carlson C.D., Foorman B.F. Kindergarten prediction of reading skills: A longitudinal comparative analysis. Journal of Educational Psychology 2004, 96:265-282.
70. Schatschneider C., Francis D.J., Foorman B.R., Fletcher J.M., Mehta P. The dimensionality of phonological awareness: An application of item-response theory. Journal of Educational Psychology 1999, 91:439-449.
71. Schumacker R.E., Lomax R.G. A beginner's guide to structural equation modeling 2010, Routledge, New York. 3rd ed.
72. Siegler R.S., Booth J.L. Development of numerical estimation in young children. Child Development 2004, 75:428-444.
73. Siegler R.S., Ramani G.B. Playing linear board games-but not circular ones-improves low-income preschoolers' numerical understanding. Journal of Educational Psychology 2008, 101:545-600.
74. Silver C.H., Pennett D., Black J., Fair G., Balise R. Stability of arithmetic disability subtypes. Journal of Learning Disabilities 1999, 32:108-119.
75. Stanovich K.E., Siegel L.S. Phenotypic performance profile of children with reading disabilities: A regression-based test of the phonological-core variable difference model. Journal of Educational Psychology 1994, 86:24-53.
76. Stock P., Desoete A., Roeyers H. Early markers for arithmetic difficulties. Educational and Child Psychology 2007, 24:28-39.
77. Swanson H.L. Cross-sectional and incremental changes in working memory and mathematical problem solving. Journal of Educational Psychology 2006, 98:265-281.
78. Swanson H.L., Jerman O., Zheng X. Growth in working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties. Journal of Educational Psychology 2008, 100:343-379.
79. Wagner R.K., Torgesen J.K., Rashotte C.A. Development of reading-related phonological processing abilities: New evidence of bidirectional causality from a latent variable longitudinal study. Developmental Psychology 1994, 30:73-87.
80. Wagner R.K., Torgesen J.K., Rashotte C.A. The Comprehensive Test of Phonological Processing: Examiner's manual 1999, Pro-Ed, Austin, TX.
81. Wilkinson G.S. The Wide Range Achievement Test-3 (WRAT-3) 1993, Wide Range, Wilmington, DE.
82. Wolf M., Bowers P., Biddle K. Naming-speed processes, timing, and reading: A conceptual review. Journal of Learning Disabilities 2000, 33:387-407.
83. Wolf M., Goldberg O'Rourke A., Gidney C., Lovett M., Cirino P., Morris R. The second deficit: An investigation of the independence of phonological and naming-speed deficits in developmental dyslexia. Reading and Writing 2002, 15:43-72.