Different components of working memory have different relationships with different mathematical skills

Journal of Experimental Child Psychology

Volumn 111, Issue 2, 2012, Pages 139-155

  Simmons, Fiona R ^a   Willis, Catherine ^a   Adams, Anne Marie ^a  

^a LIVERPOOL JOHN MOORES UNIVERSITY   (United Kingdom)

Author keywords

Arithmetic; Magnitude judgments; Mathematics; Number writing; Visual spatial sketchpad; Working memory

Indexed keywords

APTITUDE; ARTICLE; CHILD; DECISION MAKING; EXECUTIVE FUNCTION; FEMALE; HUMAN; MALE; MATHEMATICS; NEUROPSYCHOLOGICAL TEST; PHONETICS; PRESCHOOL CHILD; READING; SHORT TERM MEMORY; WRITING;

APTITUDE; CHILD; CHILD, PRESCHOOL; EXECUTIVE FUNCTION; FEMALE; HUMANS; JUDGMENT; MALE; MATHEMATICS; MEMORY, SHORT-TERM; NEUROPSYCHOLOGICAL TESTS; PHONETICS; READING; WRITING;

EID: 84859651540     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2011.08.011     Document Type: Article

References (53)

1. Alloway, T. P. (2007). Automated working memory battery for children. London: Harcourt Assessment.
2. Alloway, T. P., Gathercole, S. E., Adams, A., Willis, C., Eaglen, R., & Lamont, E. (2005). Working memory and phonological awareness as predictors of progress towards early learning goals at school entry. British Journal of Developmental Psychology, 23, 417-426.
3. Alloway, T. P., Gathercole, S. E., & Pickering, S. J. (2006). Verbal and visuospatial short-term and working memory in children: Are they separable? Child Development, 77, 1698-1716.
4. Andersson, U. (2008). Working memory as a predictor of written arithmetical skills in children: The importance of central executive functions. British Journal of Educational Psychology, 78, 181-203.
5. Baddeley, A. (2000). The episodic buffer: A new component of working memory? Trends in Cognitive Sciences, 4, 417-423.
6. Baddeley, A. D. (2001). Is working memory still working? American Psychologist, 56, 851-864.
7. Baddeley, A. (2009). Working memory. In A. Baddeley, M. W. Eysenck, & M. C. Anderson (Eds.), Memory (pp. 41-68). Hove, UK: Psychology Press.
8. Barrouillet, P., Camos, V., Perruchet, P., & Seron, X. (2004). ADAPT: A developmental, asemantic, and procedural model for transcoding from verbal to Arabic numerals. Psychological Review, 111, 368-394.
9. Boets, B., & De Smedt, B. (2010). Single digit arithmetic in children with dyslexia. Dyslexia, 16, 183-191.
10. Bowey, J. A. (2005). Predicting individual differences in learning to read. In M. J. Snowling & C. Hulme (Eds.), The science of reading: A handbook (pp. 155-172). Oxford, UK: Blackwell.
11. Bull, R., Epsy, K. A., & Wiebe, S. A. (2008). Short-term memory, working memory, and executive functioning in pre-schoolers: Longitudinal predictors of mathematical achievement at age 7 years. Developmental Neuropsychology, 33, 205-228.
12. Bull, R., & Scerif, G. (2001). Executive functioning as a predictor of children's mathematics ability: Inhibition, switching, and working memory. Developmental Neuropsychology, 19, 273-293.
13. Camos, V. (2008). Low working memory capacity impedes both efficiency and learning of number transcoding in children. Journal of Experimental Child Psychology, 99, 37-57.
14. Dehaene, S., Piazza, M., Pinel, P., & Cohen, L. (2003). Three parietal circuits for number processing. Cognitive Neuropsychology, 20, 487-506.
15. Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., & Tsivkin, S. (1999). Sources of mathematical thinking: Behavioral and brainimaging evidence. Science, 284, 970-974.
16. Department for Education. (2010). Statistical first release: Schools, pupils, and their characteristics. London: Department for Children, Schools, and Families.
17. Department for Education and Skills (2006). The primary framework for teaching literacy and mathematics. London: DfES Publications.
18. De Smedt, B., Janssen, R., Bouwens, K., Verschaffel, L., Boets, B., & Ghesquiere, P. (2009a). Working memory and individual differences in mathematics achievement: A longitudinal study from first grade to second grade. Journal of Experimental Child Psychology, 103, 189-201.
19. De Smedt, B., Taylor, J., Archibald, L., & Ansari, D. (2009b). How is phonological processing related to individual differences in children's arithmetic skills? Developmental Science, 13, 508-520.
20. DeStefano, D., & LeFevre, J. (2004). The role of working memory in mental arithmetic. European Journal of Cognitive Psychology, 16, 353-386.
21. Donlan, C., Cowan, R., Newton, E. J., & Lloyd, D. (2007). The role of language in mathematical development: Evidence from children with specific language impairments. Cognition, 103, 23-33.
22. Donlan, C., & Gourlay, S. (1999). The importance of non-verbal skills in the acquisition of place-value knowledge: Evidence from normally-developing and language-impaired children. British Journal of Developmental Psychology, 17, 1-19.
23. Dunn, L. M., Dunn, L. M., Whetton, C., & Burley, J. (1997). The British Picture Vocabulary Scale 2nd ed.. Slough, UK: NFER-Nelson.
24. Fuchs, L. S., Compton, D. L., Fuchs, D., Paulsen, K., & Bryant, J. D. (2005). The prevention, identification, and cognitive determinants of math difficulty. Journal of Educational Psychology, 97, 493-513.
25. Gilmore, C. K., McCarthy, S. E., & Spelke, E. S. (2007). Symbolic arithmetic knowledge without instruction. Nature, 447, 589-592.
26. Halberda, J., Mazzocco, M. M. M., & Feigenson, L. (2008). Individual differences in non-verbal acuity correlate with math achievement. Nature, 455, 665-669.
27. Hecht, S. A., Torgesen, J. K., Wagner, R. K., & Rashotte, C. A. (2001). The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: A longitudinal study from second to fifth grades. Journal of Experimental Child Psychology, 79, 192-227.
28. Holmes, J., & Adams, J. W. (2006). Working memory and children's mathematical skills: Implications for mathematical development and mathematics curricula. Educational Psychology, 26, 339-366.
29. Howell, D. C. (1995). Fundamental statistics for the behavioral sciences. Belmont, CA: Duxbury
30. Huttenlocher, J., Jordan, N. C., & Levine, S. C. (1994). A mental model for early arithmetic. Journal of Experimental Psychology: General, 123, 377-386.
31. Imbo, I., & Vandierendonck, A. (2008). Effects of problem size, operation, and working-memory span on simple-arithmetic strategies: Differences between children and adults? Psychological Research [Psychologische Forschung], 72, 331-346.
32. Kaiser, H. F. (1974). An index of factorial simplicity. Psychometrika, 39, 31-36.
33. Krajewski, K., & Schneider, W. (2009). 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. Journal of Experimental Child Psychology, 103, 516-531.
34. Lee, K. M., & Kang, S. Y. (2002). Arithmetic operations and working memory: Differential suppression in dual tasks. Cognition, 83, 63-68.
35. LeFevre, J., Fast, L., Skwarchuk, S., Smith-Chant, B. L., Bisanz, J., Kamawar, D., et al (2010). Pathways to mathematics: Longitudinal predictors of performance. Child Development, 81, 1753-1767.
36. Meyer, M. L., Salimpoor, V. N., Wu, S. S., Geary, D. C., & Menon, V. (2010). Differential contribution of specific working memory components to mathematics achievement in 2nd and 3rd graders. Learning and Individual Differences, 20, 101-109.
37. Moseley, D. (2003). Word recognition and phonic cues (2nd ed.). London: Hodder Tests
38. Mundy, E., & Gilmore, C. (2009). Children's mapping between symbolic and nonsymbolic representations of number. Journal of Experimental Child Psychology, 103, 490-502.
39. Noel, M., Seron, X., & Trovarelli, F. (2004). Working memory as a predictor of addition skills and addition strategies in children. Cahiers de Psychologie Cognitive, 22, 3-25.
40. Nordman, E., Bull, R., Davidson, W., & Church, P. (2009). The approximate number system and mathematical ability in young children. Paper presented at the British Psychological Society Developmental Section Conference, Nottingham, UK.
41. Passolunghi, M. C., Mammarella, I. C., & Altoe, G. (2008). Cognitive abilities as precursors of the early acquisition of mathematical skills during first through second grades. Developmental Neuropsychology, 33, 229-250.
42. Pickering, S., & Gathercole, S. (2001). Working memory test battery for children. London: Psychological Corporation.
43. Psychological Software Tools. (2008). E-Prime (Version 2.0) [computer software]. Pittsburgh, PA: Author.
44. Raghubar, K. P., Barnes, M. A., & Hecht, S. A. (2010). Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences, 20, 110-122.
45. Ramani, G. B., & Siegler, R. S. (2007). Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games. Child Development, 79, 375-394.
46. Rasmussen, C., & Bisanz, J. (2005). Representation and working memory in early arithmetic. Journal of Experimental Child Psychology, 91, 137-157.
47. Sheskin, D. (2004). Handbook of parametric and nonparametric statistical procedures (3rd ed.). Boca Raton, FL: Chapman & Hall/ CRC.
48. Simmons, F. R. (2002). Relationships between number skills and cognitive abilities in people with specific arithmetic difficulties and people with dyslexia. Unpublished doctoral dissertation, University of Hull.
49. Simmons, F. R., & Singleton, C. (2006). The mental and written arithmetic abilities of adults with dyslexia. Dyslexia, 12, 96-114.
50. Simmons, F. R., & Singleton, C. (2009). The mathematical strengths and weaknesses of children with dyslexia. Journal of Research in Special Educational Needs, 9, 154-163.
51. Simmons, F., Singleton, C., & Horne, J. K. (2008). Phonological awareness and visual-spatial sketchpad functioning predict early arithmetic attainment: Evidence from a longitudinal study. European Journal of Cognitive Psychology, 20, 711-722.
52. Swanson, H. L., & Beebe-Frankenberger, M. (2004). The relationship between working memory and mathematical problem solving in children at risk and not at risk of serious math difficulties. Journal of Educational Psychology, 96, 471-491.
53. Whyte, J. C., & Bull, R. (2008). Number games, magnitude representation, and basic number skills in preschoolers. Developmental Psychology, 44, 588-596.