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Original Articles

A new mathematics pedagogy for the early years: in search of principles for practice

Pages 99-115 | Published online: 14 Oct 2010

References

  • Askew M Brown M Rhodes V Wiliam D Johnson D (1997) Effective teachers of numeracy: report of a study carried out for the Teacher Training Agency (London, King's College, University of London)
  • Askew M Wiliam D (1995) Recent research in mathematics education 5–16 (London, HMSO)
  • Aubrey , C . (1993) . An investigation of the mathematical knowledge and competencies which young children bring into school . British Educational Research Journal , 19 (1) : 27 – 41 .
  • Aubrey , C , Kavkler , M , Tancig , S and Magajna , L . (2000) . Getting it right from the start? The influence of early school entry on later achievements in mathematics . European Early Childhood Education Research Journal , 8 (1) : 75 – 85 .
  • Ball C (1994) Start right (London, Royal Society of Arts)
  • Board of Education (1933) Infants and nursery schools: report of the Consultative Committee of the Board of Education (Hadow) (London, HMSO)
  • Bottle , G . (1999) . A study of children's mathematical experiences in the home . Early Years , 20 (1) : 53 – 64 .
  • Brown AL Palinscar AS (1989) Guided, cooperative learning and individual knowledge acquisition in: L. R. Resnick (Ed.) Knowledge, learning and instruction (Hillsdale, NJ, Lawrence Erlbaum Associates) 393 445
  • Bruce T Bartholomew L (1993) Getting to know you (London, Hodder & Stoughton)
  • Bruner J (1980) Under 5 in Britain: the Oxford Pre‐school Research Project (London, Grant McIntyre)
  • Buxton L (1981) Do you panic about maths? Coping with maths anxiety (London, Heinemann Educational)
  • Carr M (1992) Maths for meaning: tracing a path for early mathematics development in: SAME papers 1992 (Hamilton, University of Waikato Centre for Science and Mathematics Research and Longman Paul)
  • Carraher , TN , Carraher , DW and Schliemann , AD . (1985) . Mathematics in the streets and in schools . British Journal of Developmental Psychology , 3 : 21 – 29 .
  • Cockcroft WH (1982) Mathematics counts: report of the Committee of Inquiry into the Teaching of Mathematics in Schools (London, HMSO)
  • Curtis A (1998) A curriculum for the pre‐school child: learning to learn (London, Routledge)
  • Dahlberg G Moss P Rence A (1999) Beyond quality in early childhood education and care (London, Falmer)
  • Department of Education and Science (1985) Better schools (London, HMSO)
  • Department of Education and Science (1990) Starting with quality: the report of the Committee of Enquiry into the Quality of Education Experiences Offered to Three and Four Year Olds (the Rumbold Report) (London, HMSO)
  • DfEE/QCA (2000) Curriculum guidance for the Foundation Stage (London, QCA)
  • Donaldson M (1978) Children's minds (London, Fontana)
  • Durkin , K , Shire , B , Riem , R , Crowther , RD and Rutter , DR . (1986) . The social and linguistic context of early number word use . British Journal of Developmental Psychology , 4 : 269 – 288 .
  • Evans , J . (2002) . Talking about maths . Education 3 to 13 , 30 (1) : 66 – 71 .
  • Fuson K (1988) Children's counting and concepts of number (New York, Springer)
  • Garvey C (1977) Play (London, Fontana)
  • Gifford , S . (1995) . Number in early childhood . Early Child Development and Care , 109 : 95 – 115 .
  • Gifford S (1997) When should they start doing sums? in: I. Thompson (Ed.) Teaching and learning early number (Milton Keynes, Open University Press) 75 88
  • Gifford S (2002) Between the secret garden and the hothouse: a study of the teaching and learning of number in a nursery setting (London, King's College, University of London)
  • Ginsburg HP Allardice BS (1983) Children's psychological difficulties in mathematics in: H. Ginsburg (Ed.) The development of mathematical thinking (New York, Academic Press)
  • Harries T (2000) Mental maths for the numeracy hour (London, David Fulton)
  • Heyman , GD , Dweck , CS and Cain , KM . (1992) . Young children's vulnerability to self blame and helplessness: relationship to beliefs about goodness . Child Development , 63 (2) : 401 – 415 .
  • Hoyles , C . (1982) . The pupil's view of mathematics learning . Educational Studies in Mathematics , 13 : 349 – 372 .
  • Hughes M (1986) Children and number: difficulties in learning mathematics (Oxford, Basil Blackwell)
  • Hutt C (1989) Play, exploration and learning (London, Routledge)
  • Jones , L . (1998) . Home and school numeracy for young Somali pupils in Britain . European Early Childhood Education Research Journal , 6 (1) : 63 – 71 .
  • Kamii C (1985) Young children reinvent arithmetic: implications of Piaget's theory (New York, Teachers' College)
  • Kleinberg , S and Menmuir , J . (1995) . Perceptions of mathematics in pre‐five settings . Education 3 to 13 , 23 (3) : 29 – 35 .
  • Laevers , F . (1993) . Deep level learning: an exemplary application on the area of physical knowledge . European Early Childhood Education Research Journal , 1 (1) : 53 – 68 .
  • Lave J (1988) Cognition in practice: mind, mathematics and culture in everyday life (Cambridge, Cambridge University Press)
  • Lerman S (2000) The social turn in mathematics education research in: J. Boaler (Ed.) Multiple perspectives on mathematics teaching and learning (Westport, CT, Ablex) 19 44
  • Lesh R Post T Behr M (1987) Representations and translations among representations in mathematics learning and problem solving in: C. Janvier (Ed.) Problems of representation in the teaching and learning of mathematics (London, Lawrence Erlbaum Associates) 33 40
  • Mannigel , D . (1988) . Enhancing autonomy: implications for maths (and other) education and classroom organisation in early childhood . Australian Journal of Early Childhood , 13 (1) : 3 – 7 .
  • Marton F Neuman D (1990) Constructivism, phenomenology and the origin of arithmetic skills in: C. P. Steffe T. Wood (Eds) Transforming children's mathematics education (Hillsdale, NJ, Lawrence Erlbaum Associates) 63 75
  • McGarrigle , J and Donaldson , M . (1974) . Conservation accidents . Cognition , 3 : 341 – 350 .
  • McLeod DB (1992) Research on affect in mathematics education: a reconceptualisation in: D. A. Grouws (Ed.) Handbook of research on mathematics teaching and learning (New York, Macmillan) 575 596
  • Meadows S Cashdan A (1988) Helping children learn (London, Fulton)
  • Moyles J Adams S Musgrove A (2002) Study of Pedagogical Effectiveness in Early Learning (SPEEL) research report 363 (London, DfES)
  • Munn , P . (1994) . The early development of literacy and numeracy skills . European Early Childhood Education Research Journal , 2 (1) : 5 – 18 .
  • Munn , P and Schaffer , HR . (1993) . Literacy and numeracy events in socially interactive contexts . International Journal of Early Years Education , 1 (3) : 61 – 80 .
  • National Numeracy Strategy (2002) Mathematical activities for the Foundation Stage (London, DfES)
  • Piaget J (1945) Play, dreams and imitation in childhood (London, Routledge)
  • Piaget J (1947) The psychology of intelligence (London, Routledge & Kegan Paul)
  • Piaget J (1973) Comments on mathematical education in: A. G. Howson (Ed.) Developments in mathematical education: proceedings of the Second International Congress on Mathematical Education (Exeter, Cambridge University Press) 79 87
  • Pollard A Filer A (1996) The social world of children's learning: case studies of pupils from four to seven (London, Cassell)
  • Robson , B . (1983) . Encouraging dialogue in pre‐school units: the role of the pink pamfer . Educational Review , 35 (2) : 141 – 148 .
  • Rogers , JE . (1996) . Children as apprentices to number . Early Child Development and Care , 125 : 15 – 25 .
  • Rogoff B (1990) Apprenticeship in thinking: cognitive development in social context (New York, Oxford University Press)
  • Rubin Z (1980) Children's friendships (London, Fontana)
  • Sammons P Sylva K Melhuish E Siraj‐Blatchford I Taggart B Eliot K (2002) Technical paper 8a: measuring the impact of pre‐school on children's cognitive progress over the pre‐school period (London, Institute of Education, University of London)
  • Siraj‐Blatchford I Sylva K Muttock S Gilden R Bell D (2002) Researching Effective Pedagogy in the Early Years (REPEY) research report 356 (London, DfES)
  • Smith A (1998) Accelerated learning in practice (Trowbridge, Redwood Books)
  • Smith PK Connolly KS (1980) The ecology of the pre‐school (Cambridge, Cambridge University Press)
  • Stephen , C and Wilkinson , JE . (1999) . Rhetoric and reality in developing language and mathematical skills: plans and playroom experiences . Early Years , 19 (2) : 62 – 73 .
  • Stoessinger RE Edmunds J (1990) Using natural learning processes in mathematics Mathematics in School (May) 30 33
  • Sylva , K . (1984) . A hard headed look at the fruits of play . Early Child Development and Care , 15 : 171 – 184 .
  • Sylva K Roy C Painter M (1980) Childwatching at playgroup and nursery school: Oxford preschool research project (London, Grant McIntyre)
  • Tharp R Gallimore R (1988) Rousing minds to life: teaching, learning and schooling in social context (Cambridge, Cambridge University Press)
  • Tizard B Blatchford P Burke J Farquhar C Plewis I (1988) Young children at school in the inner city (New York, Lawrence Erlbaum Associates)
  • Vygotsky LS (1986) Thought and language (Cambridge, MA, MIT Press)
  • Walkerdine V (1988) The mastery of reason: cognitive development and the production of rationality (London, Routledge)
  • Weikart DP Epstein AS Schweinhart LP Bond JT (1978) The Ypsilanti Preschool Curriculum Demonstration Project: preschool years and longitudinal results (Ypsilanti, MI, High/Scope Educational Research Foundation)
  • Wigley , A . (1994) . Teaching number: a radical new approach . Mathematics Teaching , 146 : 4 – 8 .
  • Wing , T . (2001) . Serendipity and a special need . Mathematics Teaching , 174 : 27 – 30 .
  • Wood D (1991) Aspects of teaching and learning in: P. Light S. Sheldon M. Woodhead (Eds) Learning to think (London, Routledge/Open University) 97 118
  • Wood , DJ , Bruner , JS and Ross , G . (1976) . The role of tutoring in problem solving . Journal of Child Psychology and Psychiatry , 17 : 89 – 100 .
  • Young J (1994) Young children's apprenticeship in number (London, University of North London)
  • Young‐Loveridge , J . (1987) . Learning mathematics . British Journal of Developmental Psychology , 5 (2) : 155 – 167 .
  • Young‐Loveridge , J . (1989) . The relationship between children's home experiences and their mathematical skills on entry to school . Early Child Development and Care , 43 : 43 – 59 .
  • Young‐Loveridge J Carr M Peters S (1995) Enhancing the mathematics of four year‐olds: the EMI‐4s study (Hamilton, School of Education, University of Waikato)

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