CHILDREN'S GRAPHICAL CONCEPTIONS

References

• Adams , R. J. and Khoo , S. T. 1996 . Quest: The Interactive Test Analysis System , Melbourne : Australian Council for Educational Research .
   Google Scholar
• Bell , A. and Janvier , C. 1981 . The interpretation of graphs representing situations . For the Learning of Mathematics , 2 : 34 – 42 .
   Google Scholar
• Bell , A. W. , Swan , M. , Onslow , B. , Pratt , K. and Purdy , D. 1985 . Diagnostic Teaching: Teaching for Lifelong Learning , Nottingham : Shell Centre for Mathematical Education .
   Google Scholar
• Brown , M. 1989 . Graded assessment and learning hierarchies in mathematics-an alternative view . British Educational Research Journal , 15 : 121 – 128 .
   Google Scholar
• Clement , J. 1985 . Misconceptions in graphing . Proceedings of the 9th Conference of the International Group for the Psychology of Mathematics Education , 1 : 369 – 375 .
   Google Scholar
• Even , R. , Tirosh , D. and Markovits , Z. 1996 . Teacher subject matter knowledge and pedagogical content knowledge: research and development . Proceedings of the 20th Conference of the International Group for the Psychology of Mathematics Education , 1 : 119 – 134 .
   Google Scholar
• Gagne , R. M. 1973 . Learning and instructional sequence . Review of Research in Education , 1 : 3 – 33 .
   Google Scholar
• Gipps , C. V. and Goldstein , H. 1983 . Monitoring Children: An Evaluation of the Assessment of Performance Unit , London : Heinemann .
   Google Scholar
• Goldstein , H. 1995 . “ Interpreting International Standards of Student Achievement ” . In Educational Studies and Documents , Vol. 63 , Paris : UNESCO .
   Google Scholar
• Goldstein , H. and Wood , R. 1989 . Five decades of items response modelling . British Journal of Mathematical and Statistical Psychology , 42 : 139 – 167 .
   Web of Science ®Google Scholar
• Hadjidemetriou , C. , and Williams , J. S. : 2000 , Assessing graphical literacy in year 10 Mathematics pupils. British Educational Research Association Student Symposium (http://www.education.man.ac.uk/lta/ch) .
   Google Scholar
• Hadjidemetriou C. and Williams J. S. 2001 , Children's graphical conceptions: assessment of learning for teaching . Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education , 3 , 89 - 96 .
   Google Scholar
• Hadjidemetriou C. and Williams , J. S. : 2002 ( in press ), Teachers' pedagogical content knowledge: graphs, from a cognitivist to a situated perspective . Proceedings of the 26th Conference of the International Group for the Psychology of Mathematics Education .
   Google Scholar
• Hambleton , R. K. , Swaminathan , H. and Rogers , H. J. 1991 . Fundamentals of Item Response Theory , London : Sage .
   Google Scholar
• Hart , K. M. 1981 . Children's Understanding of Mathematics, 11-16 , London : John Murray .
   Google Scholar
• Hitt , F. 1998 . Difficulties in the articulation of different representations linked to the concept of function . Journal of Mathematical Behavior , 17 ( 1 ) : 123 – 134 .
   Google Scholar
• Janvier , C. 1981 . Use of situations in mathematics education . Educational Studies in Mathematics , 12 : 113 – 122 .
   Google Scholar
• Karabatsos , G. 2000 . A critique of Rasch residual fit statistics . Journal of Applied Measurement , 1 ( 2 ) : 152 – 176 .
   PubMedGoogle Scholar
• Kerslake , D. 1981 . “ Graphs ” . In Children's Understanding of Mathematics 11-16 , Edited by: Hart , K. London : John Murray .
   Google Scholar
• Leinhardt , G. , Zaslavsky , O. and Stein , M. S. 1990 . Functions, graphs and graphing: tasks, learning, and teaching . Review of Educational Research , 1 : 1 – 64 .
   Web of Science ®Google Scholar
• McDermott , L. , Rosenquist , M. and VanZee , E. 1987 . Student difficulties in connecting graphs and physics: examples from kinematics . American Journal of Physics , 55 ( 6 ) : 503 – 513 .
   Web of Science ®Google Scholar
• Masters , G. N. : 1995 , Scaling and Aggregation in IEA Studies: Critique of Professor Goldstein's Paper . Educational Studies and Documents , 63 , Paris : UNESCO .
   Google Scholar
• Noss , R. , Goldstein , H. and Hoyles , C. 1989 . Graded assessment and learning hierarchies . British Educational Research Journal , 15 : 109 – 120 .
   Google Scholar
• Ryan , J. and Williams , J. 2000 . Mathematical Discussions with Children: Exploring Methods and Misconceptions as a Teaching Strategy , Manchester : University of Manchester .
   Google Scholar
• Ryan , J. T. , Williams , J. S. and Doig , B. A. : 1998 , National tests: educating teachers about their children's mathematical thinking . In A. Oliver and K. Newstead , Proceedings of the 22nd conference of the International Group for the Psychology of Mathematics Education , 4 , 81 - 88 . South Africa : University of Stellenbosch .
   Google Scholar
• Sharma , S. S. 1993 . Graphs: Children's Strategies and Errors , London : Kings College .
   Google Scholar
• Shulman , L. S. 1986 . 'Those who understand: knowledge growth in teaching' . Educational Researcher , 15 ( 2 ) : 4 – 14 .
   Google Scholar
• Williams , J. S and Ryan , J. T. 2000 . National testing and the improvement of classroom teaching: can they coexist? . British Educational Research Journal , 26 ( 1 ) : 49 – 73 .
   Web of Science ®Google Scholar
• Williams , J. S and Ryan , J. T. : 2001 , Charting argumentation space in conceptual locales . Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education , 4 , 423 - 430
   Google Scholar
• Williams , J. S. and Ryan , J. T. : 2002 ( this volume ), Charting argumentation space in conceptual locales: tools at the interface between research and practice , Research in Mathematics Education .
   Google Scholar