Children’s early numeracy in England, Finland and People’s Republic of China

International Journal of Early Years Education

Volumn 16, Issue 3, 2008, Pages 203-221

  Aunio, Pirjo ^a   Aubrey, Carol ^b   Godfrey, Ray ^c   Pan, Yuejuan ^d   Liu, Yan ^d  

^a Niilo Maki Instituutti   (Finland)

^b UNIVERSITY OF WARWICK   (United Kingdom)

^c CANTERBURY CHRIST CHURCH UNIVERSITY   (United Kingdom)

^d BEIJING NORMAL UNIVERSITY   (China)

Author keywords

Cross cultural comparison; Early numeracy; Gender effects; Preschoolers

Indexed keywords

EID: 70350704754     PISSN: 09669760     EISSN: 14698463     Source Type: Journal    
DOI: 10.1080/09669760802343881     Document Type: Article

References (65)

1. Aubrey, C., and Godfrey, R., 2003. The development of children’s early numeracy through Key Stage 1. British Educational Research Journal, 29 (6): 821–40.
2. Aunio, P., Ee, J., Lim, A., Hautamäki, J., and Van Luit, J.E.H., 2004. Young children’s number sense in Finland, Hong Kong and Singapore. International Journal of Early Years Education, 12 (3): 195–16.
3. Aunio, P., Hautamäki, J., Heiskari, P., and Van Luit, J.E.H., 2006. The Early Numeracy Test in Finnish–children’s norms. Scandinavian Journal of Psychology, 47: 369–78.
4. Aunio, P., Niemivirta, M., Hautamäki, J., Van Luit, J.E.H., Shi, J., and Zhang, M., 2006. Young children’s number sense in China and Finland. Scandinavian Journal of Educational Research, 50 (5): 483–502.
5. Aunola, K., Leskinen, E., Lerkkanen, M-K., and Nurmi, J.-E., 2004. Developmental dynamics of math performance from preschool to grade 2. Journal of Educational Psychology, 96 (4): 699–713.
6. Bryant, P., 1996. “ Children and arithmetic ”. In Critical readings on Piaget, Edited by: Smith, L., 312–46. London: Routledge.
7. Bryant, P., and Nunes, T., 2002. “ Children’s understanding of mathematics ”. In Blackwell handbook of childhood cognitive development, Edited by: Goswami, U., 412–439. Malden, MA: Blackwell Publishing.
8. Butterworth, B., 1999. The mathematical brain, Oxford: Macmillan.
9. Campbell, J., and Xue, Q., 2001. Cognitive arithmetic across cultures. Journal of Experimental Psychology: General, 130: 299–315.
10. Caplan, N., Choy, M., and Whitmore, J., 1992. Indochinese refugee families and academic achievement. Scientific American, 266: 36–42.
11. Carr, M., and Jessup, D., 1997. Gender differences in first grade mathematics strategy use: Social and metacognitive influences. Journal of Educational Psychology, 89: 318–28.
12. Case, R., 1996. “ Reconceptualising the nature of children’s conceptual structures and their development in middle childhood ”. In The role of central structures in the development of children’s thought, Edited by: Case, R., and Okamoto, Y., Vol. 61, no. 1–2, 1–26. Monograph of the Society for Research in Child Development. Serial No. 246.
13. Cheng, Z., and Lorna, K.S.C., 2005. Chinese number-naming advantages? Analyses of Chinese pre-schoolers’ computational strategies and errors. International Journal of Early Years Education, 13 (2): 179–92.
14. Dehaene, S., 1997. The number sense: How the mind creates mathematics, New York: Oxford University Press.
15. Demie, F., 2001. Ethnic and gender differences in educational achievement and implications for school improvement strategies. Educational Research, 43 (1): 91–106.
16. Desoete, A., and Grégoire, J., 2006. Numerical competence in young children and in children with mathematics learning disabilities. Learning and Individual Differences, 16: 351–67.
17. Ee, J., Wong, K.Y., and Aunio, P., 2006. Numeracy of young children in Singapore, Beijing & Helsinki. Early Childhood Education Journal, 33 (5): 325–32.
18. Fuson, K., 1988. Children’s counting and concept of number, New York: Springer Verlag.
19. Fuson, K., and Kwon, Y., 1992. “ Learning addition and subtraction: Effects of number words and other cultural tools ”. In Pathways to number: Children’s developing numerical abilities, Edited by: Bideaud, J., Meljac, C., and Fisher, J-P., 283–306. Hillsdale, NJ: Lawrence Erlbaum Associates.
20. Geary, D., 1994. Children’s mathematical development: Research and practical applications, Washington, DC: American Psychological Association.
21. Gelman, R., and Gallistel, C., 1978. The child’s understanding of number, Cambridge, MA: Harvard University Press.
22. Ginsburg, H., Choi, Y., Lopez, L., Netly, R., and Chi, C., 1997. “ Happy birthday to you: Early mathematical thinking of Asian, South American and US children ”. In Learning and teaching mathematics: An international perspective, Edited by: Nunes, T., and Bryant, P., 163–207. Hove, UK: Psychology Press.
23. th May 2000. Edited by: Jaworski, B., British society of Research into Learning Mathematics.
24. Gorard, S., Rees, G., and Salisbury, J., 2001. Investigating the patterns of differential attainment of boys and girls at school. British Educational Research Journal, 27 (2): 125–39.
25. Hautamäki, J., Bergholm, B., Hautamäki, A., Lehto, J., Kupiainen, S., Outinen, K., and Pekuri, M., 2001. Ensiaskeleet - oppimisen edellytykset. Luokanopettajille tarkoitetun seulan toimivuus Helsinki-aineiston perusteella [Preacademical abilities–a scale for primary educators. Norms from Helsinki], Helsinki, Finland: Helsinki City Board of Education. Research Reports A17:2001.
26. Hu, L.-T., and Bentler, P.M., 1999. Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6 (1): 1–55.
27. Hujala-Huttunen, E., 1996. Day care in the USA, Russia and Finland: Views from parents, teachers and directors. European Early Childhood Education Research Journal, 4: 33–47.
28. Huntsinger, C., Jose, P., Liaw, F-R., and Ching, W-D., 1997. Cultural differences in early mathematics learning: A comparison of Euro-American, Chinese-American, and Taiwan-Chinese families. International Journal of Behavioral Development, 21: 371–88.
29. Jiao, S., Ji, G., and Jing, Q., 1996. Cognitive development of Chinese urban only children and children with siblings. Child Development, 67 (2): 387–95.
30. Jose, P., Huntsinger, C., Huntsinger, P., and Liaw, F-R., 2000. Parental values and practices relevant to young children’s social development in Taiwan and the United States. Journal of Cross-Cultural Psychology, 31: 677–702.
31. LeFevre, J-A., Clarke, T., and Stringer, A., 2002. Influences of language and parental involvement on the development of counting skills: Comparisons of French- and English-speaking Canadian children. Early Childhood Development and Care, 172 (3): 283–300.
32. Leugn, F., Graf, K-D., and Lopez-Real, F., eds. 2006. Mathematics education in different cultural tradition - A comparative study of east Asia and the West. The 13th ICMI Study, New York: Springer Verlag.
33. Miller, K., Smith, C., Zhu, J., and Zhang, H., 1995. Preschool origins of cross-national differences in mathematical competence: The role of number-naming system. Psychological Science, 6: 56–60.
34. Ministry of Social Affairs and Health. 2002. Decision in principle of the council of state concerning the national policy definition on early childhood education and care Helsinki, Finland Ministry of Social Affairs and Health, 2002:9.
35. Miura, I., Okamoto, Y., Kim, C., Steere, M., and Fayol, M., 1993. First graders’ cognitive representation of number and understanding of place value: Cross-national comparisons–France, Japan, Korea, Sweden and the United States. Journal of Educational Psychology, 85: 24–30.
36. Muthén, L.K., and Muthén, B.O., 1998–2004. Mplus user’s guide, Third edition, Los Angeles, CA: Muthén & Muthén.
37. National Board of Education. 2000. Core curriculum for kindergarten education in Finland, Helsinki, Finland: National Board of Education.
38. National Board of Education. 2004. Core curriculum for primary school education in Finland, Helsinki, Finland: National Board of Education.
39. Nunes, T., and Bryant, P., 1996. Children doing mathematics, Oxford: Blackwell.
40. Ojala, M., 2000. Parent and teacher expectations for developing young children: A cross-cultural comparison between Ireland and Finland. European Early Childhood Education Research Journal, 8: 39–61.
41. Ojala, M., and Talts, L., 2007. Preschool achievement in Finland and Estonia: Cross-cultural comparison between the cities of Helsinki and Tallinn. Scandinavian Journal of Educational Research, 51: 205–21.
42. Phillipson, S., and Phillipson, S.N., 2007. Academic expectations, belief of ability, and involvement by parents as predictors of child achievement. A cross-cultural comparison. Educational Psychology, 27 (3): 329–48.
43. Piaget, J., 1966. Mathematical epistemology and psychology, Dordrecht, The Netherlands: Reidel.
44. Rittle-Johnson, B., and Siegler, R., 1998. “ The relation between conceptual and procedural knowledge in learning mathematics ”. In The development of mathematical skills, Edited by: Donlan, C., 75–109. Hove, UK: Psychology Press.
45. Saxe, G., 1982. Developing forms of arithmetic operations among the Oksapmin of Papua New Guinea. Developmental Psychology, 18 (4): 583–94.
46. Schopman, E.A.M., Van Luit, J.E.H., and Van de Rijt, B.A.M., 1996. Learning and transfer of preparatory arithmetic strategies among young children with developmental lag. Journal of Cognitive Education, 5: 117–31.
47. Smith, L., 2002. Reasoning by mathematical induction in children’s arithmetic, Oxford: Pergamon Press.
48. Song, M-J., and Ginsburg, H., 1987. The development of informal and formal mathematical thinking in Korean and US children. Child Development, 58: 1286–96.
49. Sophian, C., 1998. “ A developmental perspective on children’s counting ”. In The development of mathematical skills, Edited by: Donlan, C., 27–46. Hove, UK: Psychology Press.
50. Stevenson, H., Lee, S., and Graham, T., 1993. “ Chinese and Japanese kindergartens: Case study in comparative research ”. In Handbook of research on the education of young children, Edited by: Spodek, B., 519–35. New York: Macmillan.
51. Strand, S., 1997. Pupil progress during Key Stage 1: a value-added analysis of school effects. British Educational Research Journal, 23 (4): 471–87.
52. Strand, S., 1999. Ethnic group, sex, and economic disadvantage: associations with pupils’ educational progress from Baseline to the end of Key Stage 1. British Educational Research Journal, 25 (2): 179–202.
53. Torbeyns, J., Van de Noortgate, W., Ghesquière, P., Verschaffel, L., Van de Rijt, B.A.M., and Van Luit, J.E.H., 2002. The development of early mathematical competence of 5- to 7-year-old children: A comparison between Flanders and The Netherlands. Educational Research and Evaluation, 8: 249–75.
54. Towse, J., and Saxton, M., 1998. “ Mathematics across national boundaries: Cultural and linguistic perspectives on numerical competence ”. In The Development of Mathematical Skills, Edited by: Donlan, C., 129–50. Hove, UK: Psychology Press.
55. Tuss, P., and Zimmer, J., 1995. Causal attributions of underachieving fourth-grade students in China, Japan and the United States. Journal of Cross-Cultural Psychology, 26: 408–26.
56. Tzouriadou, M., Barbas, G., and Bonti, E., 2002. Socio-cultural environment as a factor of differentiation in mathematical reasoning. Psychology, 9: 281–94.
57. Van de Rijt, B.A.M., Godfrey, R., Aubrey, C., Van Luit, J.E.H., Ghesquière, P., Torbeyns, J., Hasemann, K., Tancig, S., Kavkler, M., Magajna, L., and Tzouriadou, M., 2003. The development of early numeracy in Europe. Journal of Early Childhood Research, 1: 155–80.
58. Van de Rijt, B.A.M., Van Luit, J.E.H., and Pennings, A.H., 1999. The construction of the Utrecht early mathematical competence scale. Educational and Psychological Measurement, 59: 289–309.
59. Van Luit, J.E.H., Van de Rijt, B.A.M., and Aunio, P., 2006. Early Numeracy Test, Finnish Edition, Helsinki, Finland: Psykologien kustannus.
60. Van Luit, J.E.H., Van de Rijt, B.A.M., and Pennings, A.H., 1994. Utrechtse Gatalbegrip Toets, UGT [Utrecht Test of Number Sense], Doetinchem, The Netherlands: Graviant.
61. Zhou, Z., and Boehm, A., 2001. American and Chinese children’s knowledge of basic relational concepts. School Psychology International, 22: 5–21.
62. Zhou, Z., Cheng, C., Mottram, L., and Rosenblum, S., Understanding informal and formal mathematical abilities in Mainland Chinese and Chinese-American children. Paper presented at the Biennial Meeting of the Society for Research in Child Development. Albuquerque, USA. April.
63. Zhou, Z., Peverly, S.T., and Lin, J., 2005. Understanding early mathematical competencies in American and Chinese children. School Psychology International, 26 (4): 413–27.
64. Yang, M.T-L., and Cobb, P., 1995. A cross-cultural investigation into the development of place-value concepts of children in Taiwan and the United States. Educational Studies in Mathematics, 28 (1): 1–33.
65. Yu, C.-Y., and Muthén, B.O., 2002. Evaluation of model fit indices for latent variable models with categorical and continuous outcomes Unpublished manuscript