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MATHEMATICAL UNDERSTANDING

APPROACHING ALGEBRA THROUGH SEQUENCE PROBLEMS: EXPLORING CHILDREN'S STRATEGIES

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Pages 197-214 | Published online: 14 Apr 2008

References

  • Ainley , J. 1999 , ‘ Doing Algebra-Type Stuff: emergent algebra in the primary school ’ Proceedings of the 23rd Annual Conference of the International Group for the Psychology of Mathematics Education , Haifa, Israel , 2 , 9 – 16 .
  • Assessment of Performance Unit: undated , A Review of Monitoring in Mathematics 1978 to 1982, Part 2.
  • Black , P. 1998 . Testing: Friend or Foe? Theory and Practice of Assessment and Testing , London : Falmer Press .
  • Blanton , M. and Kaput , J.J. 2001 , ‘ Algebrafying the Elementary Mathematics Experience, Part 2: Transforming Practice on a District-Wide Scale ’ Proceedings of the Twelfth ICMI study, The future of the Teaching and Learning of Algebra , Melbourne, Australia .
  • Earl , L. , Levin , B. , Leithwood , K. , Fullan , M. , Watson , N. , with Torrance , N. , Jantzi , D. and Mascall , B. 2001 . Watching and Learning 2, OISE/UT Evaluation of the Implementation of the National Literacy and Numeracy strategies , Toronto : Ontario Institute for studies in Education, University of Toronto .
  • Houssart , J. and Evens , H. : 2002, ‘ Children Using Trial and Improvement Methods: examples from Key Stage Two tests’ Proceedings of the British Society for Research into Learning Mathematics, Day Conference held at the University of Bristol on 18th May 2002 , 22(2) , 19 – 24 .
  • Ishida , J. and Sanji , A. : 2002 , ‘ Can Poor Students Identify the Good Features of a Demonstrated Problem Solving Method and use it to Solve a Generalization Problem? ’ Proceedings of the 26th Annual Conference of the International Group for the Psychology of Mathematics Education , University of East Anglia , UK , 3 , 137 – 144 .
  • Kieran , C. 1992 . “ ‘The learning and Teaching of School Algebra’ ” . In Handbook of Research on Mathematics Teaching and Learning , Edited by: Grouws , D.A. 390 – 419 . New York : Macmillan .
  • Lee , L. 1996 . “ ‘An Initiation into Algebraic Culture through Generalisation Activities’ ” . In Approaches to Albebra Perspectives for Research and Teaching , Edited by: Bednarz , N. , Kieran , C. and Lee , L. 87 – 106 . Dordrecht : Kluwer Academic Publishers .
  • Lee , L. : 2001 , ‘ Early Algebra-but Which Algebra? ’ Proceedings of the Twelfth ICMI Study, The Future of the Teaching and Learning of Algebra , Melbourne, , Australia .
  • Linchevski , L. 1995 . ‘Algebra with Numbers and Arithmetic with Letters: A Definition of Pre-Algebra’ . Journal of Mathematical Behaviour , 14 : 113 – 120 .
  • Mason , J. , Graham , A. , Pimm , D. and Gowar , N. 1985 . Routes to/Roots of Algebra , Milton Keynes : The Open University Press .
  • Mason , J. 1996 . “ Expressing Generality and Roots of Algebra ” . In Approaches to Algebra, Perspectives for Research and Teaching , Edited by: Bednarz , N. , Kieran , C. and Lee , L. 65 – 86 . Dordrecht : Kluwer Academic Publishers .
  • Nickson , M. 2000 . Teaching and Learning Mathematics, A Teacher's Guide to Recent Research and its Application , London : Cassell .
  • Orton , J. 1997 . ‘Matchsticks, Pattern and Generalisation’ . Education 3–13 , 25 ( 1 ) : 61 – 65 .
  • Orton , J. , Orton , A. and Roper , T. 1999 . “ Pictorial and Practical Contexts and the Perception of Pattern ” . In Pattern in the Teaching and Learning of Mathematics , Edited by: Orton , A. 121 – 136 . London : Cassell .
  • QCA : 2001 , Standards at Key Stage 2, English, Mathematics and Science: A report for headteachers, class teachers and assessment coordinators on the 2000 national curriculum assessments for 11-year-olds. Suffolk: Qualifications and Curriculum Authority .
  • QCA : 2002 , Standards at Key Stage 2, English, Mathematics and Science: A report for headteachers, class teachers and assessment coordinators on the 2001 national curriculum assessments for 11-year-olds. Suffolk: Qualifications and Curriculum Authority .
  • Royal Society, Joint Mathematical Council of the United Kingdom : 1997 , Teaching and Learning Algebra pre-19, Report of a Royal Society/ JMC Working Group . London : The Royal Society .
  • Sfard , A. 1991 . ‘On the Dual Nature of Mathematical Conceptions: reflections on process and objects as different sides of the same coin’ . Educational Studies in Mathematics , 22 : 1 – 36 .
  • Stacey , K. 1989 . ‘Finding and Using Patterns in Linear Generalising problems’ . Educational Studies in Mathematics , 20 : 147 – 164 .
  • Steffe , L. P. : 2001 , ‘ What is Algebraic about Children's Numerical Operating? ’ Proceedings of the twelfth ICMI Study, The Future of the Teaching and Learning of Algebra , Melbourne , Australia .
  • Wheeler , D. 1996 . “ ‘Backwards and Forwards: Reflections on Different Approaches to Algebra’ ” . In Approaches to Algebra, Perspectives for Research and Teaching , Edited by: Bednarz , N. , Kieran , C. and Lee , L. 317 – 325 . Dordrecht : Kluwer Academic Publishers .
  • Williams , J. and Ryan , J. 2000 . ‘National Testing and the Improvement of Classroom Teaching: can they coexist?’ . British Educational Research Journal , 26 ( 1 ) : 49 – 73 .

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