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Articles

What counts when working with mathematics in a toddler-group?

Pages 215-228 | Received 14 Jul 2011, Accepted 21 Dec 2011, Published online: 20 Feb 2012

References

  • Aunio , P. and Niemivirta , M. 2010 . Predicting children’s mathematical performance in grade one by early numeracy . Learning and Individual Differences , 20 : 427 – 435 .
  • 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 .
  • Björklund, C. 2007. Hållpunkter för lärande. Småbarns möten med matematik [Critical conditions of learning: Toddlers encountering mathematics, in Swedish]. PhD diss., Åbo Akademi University.
  • Björklund , C. 2010a . Broadening the horizon: Toddlers’ strategies for learning mathematics . International Journal of Early Years Education , 18 ( 1 ) : 71 – 84 .
  • Björklund , C. 2010b . Att fånga komplexiteten i små barns lärande – en metodologisk reflektion [Capturing the complexity in toddlers’ learning process - a methodological reflection, in Swedish] . Nordisk Barnehageforskning , 3 ( 1 ) : 111 – 120 .
  • Björklund, C. 2011. One step back, two steps forward: An educator’s experiences from a learning study of basic mathematics in preschool special education. Scandinavian Journal of Eductional Research, iFirst Article: 1–21.
  • Buys , K. and de Moor , E. 2008 . “ Domain description measurement ” . In Young children learn measurement and geometry: A learning-teaching trajectory with intermediate attainment targets for the lower grades in primary school , Edited by: van den Heuvel-Panhuizen , Marja and Buys , Kees . 15 – 36 . Rotterdam : Sense Publishers .
  • Casey , B. 2004 . “ Mathematics problem-solving adventures: A language-arts-based supplementary series for early childhood that focuses on spatial sense ” . In Engaging young children in mathematics: Standards for early childhood mathematics education , Edited by: Clements , Douglas , Sarama , Julie and DiBiase , Ann-Marie . 377 – 390 . Mahwah , NJ : Lawrence Erlbaum .
  • Clements , D. 2004 . “ Major themes and recommendations ” . In Engaging young children in mathematics: Standards for early childhood mathematics education , Edited by: Clements , D. , Sarama , J. and DiBiase , A.-M. 7 – 76 . Mahwah , NJ : Lawrence Erlbaum .
  • Cross , C. , Woods , T. and Schweingruber , H. 2009 . Mathematics learning in early childhood: Paths towards excellence and equity , Washington , DC : National Academies Press .
  • Dalli, C., E.J. White, J. Rockel, I. Duhn, with E. Buchanan, S. Davidson, S. Ganly, L. Kus, and B. Wang. 2011. Quality early childhood education for under-two-year-olds: What should it look like? A literature review. Ministry of Education New Zealand.
  • Doverborg, E., and I. Pramling Samuelsson. 2004. Varför skall barn inte märka att de lär sig matematik? Nämnaren 3: 2–4.
  • Dowker , A. 2005 . Individual differences in arithmetic: Implications for psychology, neuroscience and education , New York : Psychology Press .
  • Griffin , S. 2004 . “ Number worlds: A research-based mathematics program for young children ” . In Engaging young children in mathematics: Standards for early childhood mathematics education , Edited by: Clements , D. , Sarama , J. and DiBiase , A.-M. 325 – 342 . Mahwah , NJ : Lawrence Erlbaum .
  • Hannula , M. and Lehtinen , E. 2001 . “ Spontaneous tendency to focus on numerosities in the development of cardinality ” . In Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education , Edited by: van den Heuvel-Panhuizen , Marja . 113 – 120 . The Netherlands : Amersfoort Drukkerij Wilco .
  • Hannula , M. , Mattinen , A. and Lehtinen , E. 2005 . “ Does social interaction influence 3-year-old children’s tendency to focus on numerosity? A quasi-experimental study in day-care ” . In Learning environments to promote deep conceptual and strategic learning , Edited by: Verschaffel , L. , de Corte , E. , Kanselaar , G. and Valcke , M. 63 – 80 . Studia Paedagogica , Leuven : Leuven University Press .
  • Hannula , M. , Räsänen , P. and Lehtinen , E. 2007 . Development of counting skills: Role of spontaneous focusing on numerosity and subitizing-based enumeration . Mathematical Thinking and Learning , 9 ( 1 ) : 51 – 57 .
  • Jordan , N. , Kaplan , D. , Ramineni , C. and Locuniak , M. 2009 . Early math matters: Kindergarten number competence and later mathematics outcome . Developmental Psychology , 45 ( 3 ) : 850 – 867 .
  • Kilhamn, C. 2011. Making sense of negative numbers. PhD diss., University of Gothenburg.
  • Lave , J. and Wenger , E. 1991 . Situated learning: Legitimate peripheral participation , Cambridge : Cambridge University Press .
  • Levine , S. , Whealton Suriyakham , L. , Rowe , M.L. , Huttenlocher , J. and Gunderson , E.A. 2010 . What counts in the development of young children’s number knowledge? . Developmental Psychology , 46 ( 5 ) : 1309 – 1319 .
  • Lindahl , M. 2002 . Vårda–vägleda–lära. Effektstudie av ett interventionsprogram för pedagogers lärande i förskolemiljön [Caring–guiding–learning. Effect study of an intervention program for educators’ learning in a pre-school environment, in Swedish] , Göteborg : Acta Universitatis Gothoburgensis .
  • Löwing, M. 2004. Matematikundervisningens konkreta gestaltning. En studie av kommunikationen lärare-elev och matematiklektionens didaktiska ramar [A concrete formation of mathematics teaching. A study of communication between teachers and pupils and the educational framework of mathematical classrooms, in Swedish]. PhD diss., University of Gothenburg.
  • Marton , F. and Booth , S. 1997 . Learning and awareness , Mahwah , NJ : Lawrence Erlbaum .
  • Marton , F. and Tsui , A. , eds. 2004 . Classroom discourse and the space of learning , Mahwah , NJ : Lawrence Erlbaum .
  • McCrink , K. and Wynn , K. 2004 . Large-number addition and subtraction by 9-month-old infants . Psychological Science , 15 ( 11 ) : 776 – 781 .
  • OECD . 2001 . Starting Strong I , Paris : OECD Publishing .
  • OECD . 2006 . Starting Strong II , Paris : OECD Publishing .
  • Pramling , N. and Pramling Samuelsson , I. , eds. 2008 . Didaktiska studier från förskola och skola [Didactical studies from pre-school and school, in Swedish] , Malmö : Gleerups .
  • Pramling Samuelsson , I. and Asplund Carlsson , M. 2008 . The playing learning child: Towards a pedagogy of early childhood . Scandinavian Journal of Educational Research , 52 ( 6 ) : 623 – 641 .
  • Rogoff , B. 1990 . Apprenticeship in thinking: Cognitive development in social context , New York : Oxford University Press .
  • Rogoff , B. 2003 . The cultural nature of human development , Cary , NC : Oxford University Press .
  • Runesson, U. 1999. Variationens pedagogik. Skilda sätt att behandla ett matematiskt innehåll [The pedagogy of variations. Different ways of handling a mathematical topic, in Swedish]. PhD diss., University of Gothenburg.
  • Runesson , U. 2005 . Beyond discourse and interaction. Variation: A critical aspect for teaching and learning mathematics . Cambridge Journal of Education , 35 ( 1 ) : 69 – 87 .
  • Runesson , U. and Marton , F. 2002 . “ The object of learning and the space of variation ” . In What matters? Discovering critical conditions of classroom learning , Edited by: Marton , F. and Morris , P. Göteborg : Acta Universitatis Gothoburgensis .
  • Rönnerman , K. 2003 . Action research: Educational tools and the improvement of practice . Educational Action Research , 11 ( 1 ) : 9 – 21 .
  • Schön , D. 1991 . The reflective practitioner: How professionals think in action , Avebury , Aldershot : Ashgate .
  • Siegler , R. and Ramani , G. 2009 . Playing linear number board games – but not circular ones – improves low-income preschoolers’ numerical understanding . Journal of Educational Psychology , 101 ( 3 ) : 545 – 560 .
  • Stakes 2004. National Curriculum Guidelines on Early Childhood Education and Care in Finland (ECEC). National Institute for Health and Welfare (THL). http://varttua.stakes.fi/NR/rdonlyres/78BC5411-F37C-494C-86FA-BE409294709B/0/e_vasu.pdf (accessed February 17, 2010).
  • Von Glasersfeld , E. 1995 . Radical constructivism: A way of knowing and learning , London : Falmer Press .
  • Wittgenstein , L. 1978 . Remarks on the foundations of mathematics , London : MIT Press .
  • Wynn , K. 1998 . “ Numerical competence in infants ” . In The development of mathematical skills , Edited by: Donlan , C. 3 – 25 . Hove : Psychology Press .

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