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Original Articles

THE NATURE OF PARTICIPATION AFFORDED BY TASKS, QUESTIONS AND PROMPTS IN MATHEMATICS CLASSROOMS

Pages 111-126 | Published online: 21 Apr 2008

References

  • Andrews , P. , Hatch , G. & Sayers , J. ( 2005 ) What do teachers of mathematics teach? An initial episodic analysis of four European traditions , in: Hewitt D. & Noyes A. Proceedings of the 6th British Congress of Mathematics Education, University of Warwick , 9-16 .
  • Askew , M. , Brown , M. , Rhodes , V. , Wiliam , D. and Johnson , D. 1997 . Effective Teachers of Numeracy , London : King's College London .
  • Biggs , J. and Collis , K. 1982 . Evaluating the Quality of Learning: the SOLO taxonomy , New York : Academic Press .
  • Bloom , B.S. 1956 . Taxonomy of Educational Objectives. Handbook 1: The cognitive domain , New York : David McKay Co. Inc. .
  • Brown , M. , Askew , M. , Rhodes , V. , Denvir , H. , Ranson , E. , & Wiliam , D. ( 2001 ) Magic bullets or chimeras? Searching for factors characterising effective teachers and effective teaching in numeracy . Paper presented at the British Educational Research Association Annual Conference, University of Leeds , 13–15 September .
  • Cuoco , A. , Goldenberg , E. P. and Mark , J. 1997 . Habits of mind: an organizing principle for mathematics curriculum . Journal of Mathematical Behavior , 15 ( 4 ) : 375 – 402 .
  • Dubinsky , E. 1991 . “ Reflective Abstraction in Advanced Mathematical Thinking ” . In Advanced Mathematical Thinking , Edited by: Tall , D. Dordrecht : Kluwer .
  • Engestrom , Y. 1998 . “ Reorganising the motivational sphere of classroom culture. An activity-theoretical analysis of planning in a teaching team ” . In The Culture of the Mathematics Classroom , Edited by: Seeger , F. , Voigt , J. and Waschescio , U. Cambridge : Cambridge University Press .
  • Floyd , A. ( 1981 ) Developing Mathematical Thinking ( London : Addison-Wesley ).
  • Freudenthal , H. 1991 . Revisiting Mathematics Education. China Lectures , Dordrecht : Kluwer .
  • Greeno , J. 1994 . Gibson's affordances . Psychological Review , 101 : 336 – 342 .
  • Hiebert , J. Gallimore , R. Garnier , H. Givvin , K.B Hollingsworth , H. Jacobs , J. Chiu , A.M.-Y. Wearne , D. Smith , M. Kersting , N. Manaster , A. Tseng , E. Etterbeek , W. Manaster , C. Gonzales , P. & Stigler , J. ( 2003 ) Teaching Mathematics in Seven Countries: Results From the TIMSS 1999 Video Study: NCES 2003-013 (Washington, DC, U.S. Department of Education, National Center for Education Statistics) .
  • Leung , F. ( 2006 ) Comparative Study of Mathematics Classrooms: What can be learned from the TIMSS , in: 1999 Video Study. Proceedings of Tsukuba International Conference ‘Innovative Teaching Mathematics Through Lesson Study’ available online at www.criced.tsukuba.ac.jp/math/apec2006/16/1602_frederick.pdf (accessed 12 Jan 2007)
  • Marton , F. & Tsui , A.B.M. with Chik , P. , Ko , P. Y. , Lo , M. L. , Mok , I. , Ng , F. P. , Pang , M. F. , Pong , W. Y. & Runnesson , U. ( 2004 ) Classroom Discourse and the Space of Learning Mahwah, NJ : Lawrence Erlbaum Associates ).
  • Mason , J. , Graham , A. and Johnston-Wilder , S. 2005 . Developing Thinking in Algebra , London : Paul Chapman .
  • NCETM, National Centre for Excellence in the Teaching of Mathematics ( 2006 ) Enhancing Mathematics Teaching Through Collaborative Practice DVD .
  • Pirie , S. and Kieren , T. 1994 . Growth in mathematical understanding: How can we characterise it and how can we represent it? . Educational Studies in Mathematics , 26 ( 2-3 ) : 165 – 190 .
  • Tall , D. ( 1995 ) Mathematical growth in elementary and advanced mathematical thinking , in: Meira L. & Carraher D. Proceedings of the 19 th annual conference of the International Group for the Psychology of Mathematics Education , Recife , Brazil , 1 , 61 – 75 .
  • Tanner , H. , Jones , S. , Kennewell , S. and Beauchamp , G. 2005 . “ Interactive whole class teaching and interactive whiteboards ” . In Building Connections: Research, Theory and Practice. Proceedings of the 28th Annual Conference of the Mathematics Education Research Group of Australasia , Edited by: Clarkson , P. , Downton , A. , Gronn , D. , Horne , M. , McDonough , A , Pierce , R. and Roche , A. Melbourne : Deakin University .
  • Usiskin , Z. 1982 . Van Hiele levels and Achievement in Secondary School Geometry , Chicago : University of Chicago .
  • Valsiner , J. 1988 . Culture and the Development of Children's Action: A Theory of Human Development , New York : Wiley .
  • Watson , A. ( 2004 ) Affordances, constraints and attunements in mathematical activity , in: McNamara O. & Barwell R. Research in Mathematics Education, volume 6: papers of the British Society for Research into Learning Mathematics , 23 – 34 .
  • Watson , A. and Mason , J. 1998 . Questions and Prompts for Mathematical Thinking , Derby : Association of Teachers of Mathematics .
  • Watson , A. and Mason , J. 2005 . Mathematics as a constructive activity: Learners generating examples , Mahwah, NJ : Lawrence Erlbaum Associates .
  • Watson , A. and Mason , J. 2006 . Seeing an exercise as a single mathematical object: Using variation to structure sense-making . Mathematical Thinking and Learning , 8 ( 2 ) : 91 – 111 .
  • Watson , A. , De Geest , E. and Prestage , S. 2003 . Deep Progress in Mathematics: Report of the Improving Attainment in Mathematics Project , Oxford : University of Oxford Department of Educational Studies .
  • Watson , A. and De Geest , E. 2005 . Principled teaching for deep progress: Improving mathematical learning beyond methods and materials . Educational Studies in Mathematics , 58 : 209 – 234 .

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