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Mathematics and Schooling

THE FREQUENCY OF SELECTION AND RELATIVE EFFECTIVENESS OF DIFFERENT MENTAL CALCULATION METHODS: SOME EVIDENCE FROM THE 1987 APU SURVEYS

Pages 37-54 | Published online: 14 Apr 2008

References

  • Beishuizen , M.: . 1997 . “ Development of mathematical strategies and procedures up to 100 ” . In The Role of Contexts and Models in the Development of Mathematical Strategies and Procedures , Edited by: Beishuizen , M. , Gravemeijer , K. P. E. and van Lieshout , E. C. D. M. 127 – 162 . Utrecht : Freudenthal Institute .
  • Beishuizen , M.: . 1999 . “ The empty number line as a new model ” . In Issues in Teaching Numeracy in Primary Schools , Edited by: Thompson , I. 157 – 168 . Buckingham, Open University Press .
  • Beishuizen , M. and Anghileri , J.: . 1998 . Which mental strategies in the early number curriculum? A comparison of British ideas and Dutch views . British Educational Research Journal , 24 ( 5 ) : 519 – 538 .
  • Bierhoff , H.: . 1996 . Laying the Foundation of Numeracy: A comparison of primary school textbooks in Britain, Germany and Switzerland , London : National Institute of Economic and Social Research .
  • Brown , J. and Burton , R. R.: . 1978 . Diagnostic models for procedural bugs in basic mathematical skills . Cognitive Science , 2 : 155 – 192 .
  • Department for Education and Employment : 1999 , The National Numeracy Strategy: Framework for teaching mathematics from Reception to Year 6 . London : DfEE .
  • Foxman , D. , Cresswell , M. , Ward , M. , Badger , M. , Tuson , J. and Bloomfield , B. 1980 . Mathematical Development. Primary Survey Report No. 1 , London : HMSO .
  • Foxman , D. , Ruddock , G. , McCallum , I. and Schagen , I.: . 1991 . APU Mathematics Monitoring (Phase 2) , London : School Examinations and Assessment Council .
  • Fuson , K. C 1992 , ‘ Research on whole number addition and subtraction ’, in Grouws D. A. Handbook of Research on Mathematics Teaching and Learning (pp 243 – 275 ). New York , Macmillan .
  • Fuson , K. C , Wearne , D. , Hiebert , J. , Murray , H. , Human , P. , Olivier , A. , Carpenter , T. and Fennema , E.: . 1997 . Children's conceptual structures for multidigit numbers and methods of multidigit addition and subtraction . Journal for Research in Mathematics Education , 28 : 130 – 162 .
  • Harries , T. , Sutherland , R. , with Winter , J. and Dewhurst , H. 1998 , A Comparison of Primary Mathematics Textbooks From Five Countries With a Particular Focus on the Treatment of Number . Unpublished report to the Qualifications and Curriculum Authority .
  • Lorenz , J. H. 1993 , Untersuchungen zum Mathematik Unterricht [Research on Mathematics Teaching] , Köln, , Germany : Aulis .
  • Jones , D. A.: . 1975 . Don't just mark the answer-have a look at the method! . Mathematics in School , 4 : 29 – 31 .
  • The Mathematical Association .: 1992, 1997 , Mental Methods in Mathematics: A First Resort . Leicester : The Mathematical Association .
  • Qualifications and Curriculum Authority : 1999 , National Numeracy Strategy: Teaching Mental Calculation Strategies . London : QCA
  • Straker , A.: . 1999 . “ The National Numeracy Project: 1996–9 ” . In Issues in teaching numeracy in primary schools , Edited by: Thompson , I. 39 – 48 . Buckingham : Open University Press .
  • Thompson , I.: . 1995 . The role of counting in the idiosyncratic mental calculation algorithms of young children . European Early Childhood Education Research Journal , 3 : 5 – 16 .
  • Thompson , I. and Smith , F.: . 1999 . Mental Calculation Strategies for the Addition and Subtraction of 2-digit Numbers (Report funded by the Nuffield Foundation) , Newcastle upon Tyne : University of Newcastle upon Tyne .
  • Thompson , I.: . 2000 . Is the National Numeracy Strategy evidence-based? . Mathematics Teaching , 171 : 23 – 27 .
  • Threlfall , J.: . 2000 . “ Mental calculation strategies ” . In Research in Mathematics Education Volume 2 , Edited by: Rowland , T. and Morgan , C. 77 – 90 . London : British Society for Research into Learning Mathematics .

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