Number-word sequence skill and arithmetic performance

Scandinavian Journal of Psychology

Volumn 46, Issue 2, 2005, Pages 157-167

  Johansson, Bo S ^a,b  

^a UPPSALA UNIVERSITY   (Sweden)

^b Box 3621 ^*  (Sweden)

Author keywords

Arithmetic performance; Counting; Number word sequence skill; Solution procedure

Indexed keywords

ANALYSIS OF VARIANCE; ARTICLE; CHILD; CHILD DEVELOPMENT; CLINICAL TRIAL; CONTROLLED CLINICAL TRIAL; CONTROLLED STUDY; FEMALE; HUMAN; LEARNING; MALE; MATHEMATICS; PRESCHOOL CHILD; PROBLEM SOLVING; RANDOMIZED CONTROLLED TRIAL;

ANALYSIS OF VARIANCE; CHILD; CHILD DEVELOPMENT; CHILD, PRESCHOOL; FEMALE; HUMANS; LEARNING; MALE; MATHEMATICS; PROBLEM SOLVING;

EID: 15744380275     PISSN: 00365564     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9450.2005.00445.x     Document Type: Article

References (28)

1. Baroody, A. J. (1987). The development of counting strategies for single-digit addition. Journal for Research in Mathematics Education, 18, 141-157.
2. Carpenter, T. P., & Moser, J. M. (1983). The acquisition of addition and subtraction concepts. In R. Lesh & M. Landau (Eds.), Acquisition of mathematics: Concepts and processes (pp. 7-44). New York: Academic Press.
3. Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal for Research in Mathematics Education, 15, 179-202.
4. Dienes, Z. P. (1960). Building up mathematics. London: Hutchinson.
5. Fuson, K. (1982). An analysis of the counting-on solution procedure in addition. In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 67-81). Hillsdale, NJ: Lawrence Erlbaum Associates.
6. Fuson, K. C. (1992). Research on whole number addition and subtraction. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 243-275). New York: Macmillan.
7. Fuson, K. C., Richards, J., & Briars, D. J. (1982). The acquisition and elaboration of the number word sequence. In C. J. Brainerd (Ed.), Progress in cognitive development research: Vol. 1. Children's logical and mathematical cognition (pp. 33-92). New York: Springer-Verlag.
8. Galperin, P. Ia. (1970). An experimental study in the formation of mental actions. In E. Stones (Ed.), Readings in educational psychology (pp. 142-154). London: Methuen & Co Ltd.
9. Gelman, R., & Gallistel, C. R. (1978). The child's understanding of number. Cambridge, MA: Harvard University Press.
10. Ho, C. S.-H., & Fuson, K. C. (1998). Children's knowledge of teen quantities as tens and ones: Comparisons of Chinese, British, and American Kindergartners. Journal of Educational Psychology, 90, 536-544.
11. Jöreskog, K. G., & Sörbom, D. (1993). LISREL 8: Structural equation modeling with the SIMPLIS command language. Hillsdale, NJ: Lawrence Erlbaum Associates.
12. Levine, S. C., Jordan, N. C., & Huttenlocher, J. (1992). Development of calculation abilities in young children. Journal of Experimental Psychology, 53, 72-103.
13. Martins-Mourao, A., & Cowan, R. (1998). The emergence of additive composition of number. Educational Psychology, 18, 377-390.
14. Pollio, H. R., & Whitacre, J. D. (1970). Some observations on the use of natural numbers by preschool children. Perceptual and Motor Skills, 30, 167-174.
15. Resnick, J. B., & Omanson, S. F. (1987). Learning to understand arithmetic. In R. Glaser (Ed.), Advances in instructional psychology (pp. 41-96). Hillsdale, NJ: Erlbaum.
16. Riley, M. S., Greeno, J. G., & Heller, J. I. (1983). Development of children's problem solving ability in arithmetic. In H. Ginsburg (Ed.), The development of mathematical thinking (pp. 153-196). New York: Academic Press.
17. Secada, W. G., Fuson, K. C., & Hall, J. W. (1983). The transition from counting-all to counting-on in addition. Journal for Research in Mathematics Education, 14, 47-57.
18. Siegler, R. S. (1987). The perils of averaging data over strategies: An example from children's addition. Journal of Experimental Psychology: General, 116, 250-264.
19. Siegler, R. S. (1991). Strategy choice and strategy discovery. Learning and instruction, 1, 89-102.
20. Steffe, L. P. (2002). PSSM from a constructivist perspective. Paper presented at the Research Symposium Linking Research and the New Early Childhood Mathematics standards, held at the 2000 NCTM Research Presession, Chicago IL.
21. Steffe, L. P., & Cobb, P. (1988). Construction of arithmetical meanings and strategies. New York: Springer-Verlag.
22. Steffe, L. P., von Glasersfeld, E., Richards, J., & Cobb, P. (1983). Children's counting types: Philosophy, theory, and application. New York: Praeger Scientific.
23. Svenson, O., & Broquist, S. (1975). Strategies for solving simple addition problems: A comparison of normal and subnormal children. Scandinavian Journal of Psychology, 16, 143-151.
24. Svenson, O., Hedenborg, M.-L., & Lingman, L. (1976). On children's heuristics for solving simple additions. Scandinavian Journal of Psychology, 20, 161-173.
25. Tuijnman, A. C., & Keeves, J. P. (1997). Path analysis and linear structural relations analysis. In J. P. Keeves (Ed.), Educational research, methodology, and measurement: An international handbook (pp. 621-633). New York: Pergamon.
26. Uttal, D. H., Liu, L. L., & DeLoache, J. S. (1999) Taking a hard look at concreteness: Do concrete objects help young children learn symbolic relations? In L. Balter & C. S. Tamis-LeMonda (Eds.), Child psychology: A handbook of contemporary issues (pp. 177-192). Ann Arbor: Taylor and Francis.
27. Wigforss, F. (1946). Barnens färdighet i räkning vid skolgångens början [Children's counting skills at school entrance]. Häfte 191, Pedagogiska skrifter utgivna av Sveriges allmänna folkskollärarförenings litteratursällskap. Göteborg: Elanders.
28. Wynn, K. (1998). Numerical conpetence in infants. In C. Donlan (Ed.), The development of mathematical skills (pp. 3-25). East Sussex: Psychology Press.