A THEORETICAL COMPARISON OF THE TEACHING OF MENTAL CALCULATION STRATEGIES IN ENGLAND AND THE NETHERLANDS

References

• Alexander , R. 2000 . Culture and Pedagogy , Oxford : Blackwell Publishers .
   Google Scholar
• Anghileri , J. 2001 . “ ‘Contrasting approaches that challenge tradition’ ” . In Prinicples and Practices in Arithmetic Teaching: Innovative approaches for the primary classroom , Edited by: Anghileri , J. 4 – 14 . Buckingham : Open University Press .
   Google Scholar
• Askew , M. , Millett , M. , Brown , M. , Rhodes , V. and Bibby , T. 2001 . ‘Entitlement to attainment: tensions in the National Numeracy Strategy’ . The Curriculum Journal , 12 ( 1 ) : 5 – 28 .
   Google Scholar
• Beishuizen , M. 2001 . “ ‘Different approaches to mastering mental calculation strategies’ ” . In Prinicples and Practices in Arithmetic Teaching: Innovative approaches for the primary classroom , Edited by: Anghileri , J. 119 – 130 . Buckingham : Open University Press .
   Google Scholar
• Brown , M. , Askew , A. , Baker , D. , Denvir , H. and Millett , A. 1998 . ‘Is the National Numeracy Strategy research-based?’ . British Journal of Educational Studies , 46 ( 4 ) : 362 – 385 .
   Web of Science ®Google Scholar
• Buys , K. 2001 . “ ‘Progressive mathematization: sketch of a learning strand’ ” . In Prinicples and Practices in Arithmetic Teaching: Innovative approaches for the primary classroom , Edited by: Anghileri , J. 107 – 118 . Buckingham : Open University Press .
   Google Scholar
• Crotty , M. 1998 . The Foundations of Social Research: Meaning and perspective in the research process , London : Sage Publishing .
   Google Scholar
• DfEE : 1998a , Numeracy Matters: The Preliminary Report of the Numeracy Task Force . London : DfEE .
   Google Scholar
• DfEE : 1998b , The Implementation of the National Numeracy Strategy: The Final Report of the Numeracy Task Force . Suffolk : DfEE Publications .
   Google Scholar
• DfEE : 1999 , The National Numeracy Strategy: Framework for teaching mathematics from Reception to Year 6 . Suffolk : DfEE Publications .
   Google Scholar
• Earl , L. , Levin , B. , Leithwood , K. , Fullan , M. and Watson , N. 2001 , Watching and Learning 2: OISE/UT Evaluation of the Implementation of the National Literacy and Numeracy Strategies. Toronto: OISE/UT .
   Google Scholar
• Earl , L. , Watson , N. , Levin , B. , Leithwood , K. , Fullan , M. and Torrance , N. 2003 , Watching and Learning 3: Final Report of the External Evaluation of England's National Literacy and Numeracy Strategies. Toronto: OISE/UT .
   Google Scholar
• Ernest , P. 1991 . The Philosophy of Mathematics Education , Basingstoke : Falmer Press .
   Google Scholar
• Freudenthal , H. 1973 . Mathematics as an Educational Task , Dordrecht : D. Reidel Publishing .
   Google Scholar
• Gravemeijer , K.P.E. 2001 . “ Fostering a dialectic relation between theory and practice ” . In Principles and Practices in Arithmetic Teaching: Innovative approaches for the primary classroom , Edited by: Anghileri , J. 147 – 161 . Buckingham : Open University Press .
   Google Scholar
• Harris , S. , Keys , W. , and Fernandes , C. : 1997 , Third International Mathematics and Science Study (TIMSS), Second International Report, Part 1 . Slough : National Foundation for Educational Research .
   Google Scholar
• Hughes , M. 1999 . ‘The National Numeracy Strategy: Are we getting it right?’ . Psychology of Education Review , 23 ( 2 ) : 3 – 7 .
   Google Scholar
• Kaiser , G. 1999 . “ ‘Recent International Comparative Studies in Mathematics Education’ ” . In International Comparisons in Mathematics Education , Edited by: Kaiser , G. , Luna , E. and Huntley , I. 3 – 15 . London : The Falmer Press .
   Google Scholar
• Lave , J. and Wenger , E. 1991 . Situated Learning: Legitimate Peripheral Participation , Cambridge : Cambridge University Press .
   Google Scholar
• Lerman , S. 1996 . ‘Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm?’ . Journal for Research in Mathematics Education , 27 ( 2 ) : 133 – 150 .
   Web of Science ®Google Scholar
• Merttens , R. and Wood , D. 2000 . ‘Sea changes in mathematics education: An elaboration of aspects of the National Curriculum Strategy’ . Mathematics Teaching , 172 : 13 – 17 .
   Google Scholar
• Muijs , D and Reynolds , D. 2001 . Effective Teaching: Evidence and Practice , London : Paul Chapman Publishing .
   Google Scholar
• Pring , R. 2000 . Philosophy of Educational Research , London : Continuum .
   Google Scholar
• Treffers , A. 1993 . Wiskobas and Freudenthal: Realistic Mathematics Education . Educational Studies in Mathematics , 25 ( 1/2 ) : 89 – 108 .
   Google Scholar
• van den Heuzel-Panhuizen , M. 2001a . “ Realistic mathematics education in the Netherlands ” . In Prinicples and Practices in Arithmetic Teaching: Innovative approaches for the primary classroom , Edited by: Anghileri , J. 49 – 63 . Buckingham : Open University Press .
   Google Scholar
• van den Heuzel-Panhuizen , M. 2001b (translated by Jackie Senior and Language Unlimited), Children Learn Mathematics: A Learning-Teaching Trajectory with Intermediate Attainment Targets for Calculation with Whole Numbers in Primary Schools, Utrecht: Freudenthal Institute and National Institute for Curriculum Development .
   Google Scholar
• Wubbels , T. , Korthageh , F. and Brockman , H. 1997 . Preparing teachers for realistic mathematics education . Educational Studies in Mathematics , 32 : 1 – 28 .
   Google Scholar