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

References

• 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 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• 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 .
   PubMed Web of Science ®Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Bryant , P. 1996 . “ Children and arithmetic ” . In Critical readings on Piaget , Edited by: Smith , L. 312 – 46 . London : Routledge .
   Google Scholar
• 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 .
   Google Scholar
• Butterworth , B. 1999 . The mathematical brain , Oxford : Macmillan .
   Google Scholar
• Campbell , J. and Xue , Q. 2001 . Cognitive arithmetic across cultures . Journal of Experimental Psychology: General , 130 : 299 – 315 .
   PubMed Web of Science ®Google Scholar
• Caplan , N. , Choy , M. and Whitmore , J. 1992 . Indochinese refugee families and academic achievement . Scientific American , 266 : 36 – 42 .
   PubMed Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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.
   Google Scholar
• 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 .
   Google Scholar
• Dehaene , S. 1997 . The number sense: How the mind creates mathematics , New York : Oxford University Press .
   Google Scholar
• Demie , F. 2001 . Ethnic and gender differences in educational achievement and implications for school improvement strategies . Educational Research , 43 ( 1 ) : 91 – 106 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• Fuson , K. 1988 . Children’s counting and concept of number , New York : Springer Verlag .
   Google Scholar
• 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 .
   Google Scholar
• Geary , D. 1994 . Children’s mathematical development: Research and practical applications , Washington, DC : American Psychological Association .
   Google Scholar
• Gelman , R. and Gallistel , C. 1978 . The child’s understanding of number , Cambridge, MA : Harvard University Press .
   Google Scholar
• 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 .
   Google Scholar
• Godfrey , R. , Aubrey , C. , Kavkler , M. , Tancig , S. and Magajna , L. . Assessing early mathematical development in England and Slovenia . Proceedings of the Day Conferences held at the University of Exeter Saturday 26th February 2000 and the University of Loughborough Saturday 6th May 2000 . Edited by: Jaworski , B. British society of Research into Learning Mathematics .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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.
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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.
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Muthén , L.K. and Muthén , B.O. 1998–2004 . Mplus user’s guide, , Third edition , Los Angeles, CA : Muthén & Muthén .
   Google Scholar
• National Board of Education . 2000 . Core curriculum for kindergarten education in Finland , Helsinki, , Finland : National Board of Education .
   Google Scholar
• National Board of Education . 2004 . Core curriculum for primary school education in Finland , Helsinki, , Finland : National Board of Education .
   Google Scholar
• Nunes , T. and Bryant , P. 1996 . Children doing mathematics , Oxford : Blackwell .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Piaget , J. 1966 . Mathematical epistemology and psychology , Dordrecht, , The Netherlands : Reidel .
   Google Scholar
• 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 .
   Google Scholar
• Saxe , G. 1982 . Developing forms of arithmetic operations among the Oksapmin of Papua New Guinea . Developmental Psychology , 18 ( 4 ) : 583 – 94 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• Smith , L. 2002 . Reasoning by mathematical induction in children’s arithmetic , Oxford : Pergamon Press .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• 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 .
   Google Scholar
• Strand , S. 1997 . Pupil progress during Key Stage 1: a value‐added analysis of school effects . British Educational Research Journal , 23 ( 4 ) : 471 – 87 .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Tzouriadou , M. , Barbas , G. and Bonti , E. 2002 . Socio‐cultural environment as a factor of differentiation in mathematical reasoning . Psychology , 9 : 281 – 94 .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Van Luit , J.E.H. , Van de Rijt , B.A.M. and Aunio , P. 2006 . Early Numeracy Test, , Finnish Edition , Helsinki, , Finland : Psykologien kustannus .
   Google Scholar
• 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 .
   Google Scholar
• Zhou , Z. and Boehm , A. 2001 . American and Chinese children’s knowledge of basic relational concepts . School Psychology International , 22 : 5 – 21 .
   Web of Science ®Google Scholar
• 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 ,
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Google Scholar
• Yu , C.‐Y. and Muthén , B.O. 2002 . Evaluation of model fit indices for latent variable models with categorical and continuous outcomes Unpublished manuscript
   Google Scholar