AN INVESTIGATION INTO THE BALANCE OF PRESCRIPTION, EXPERIMENT AND PLAY WHEN LEARNING ABOUT THE PROPERTIES OF QUADRATIC FUNCTIONS WITH ICT

References

• Balacheff . 1998 . “ Construction of meaning and teacher control of learning ” . In Information and Communications Technologies in School Mathematics , Edited by: Tinsley and Johnson . London : Chapman & Hall .
   Google Scholar
• Dörfler , W. 2000 . “ Means for meaning ” . In Symbolizing and Communicating in Mathematics Classrooms: Perspectives on discourse tools, and instructional design , Edited by: Cobb , Yackel and McClain . USA : Lawrence Erlbaum Associates .
   Google Scholar
• Egan , M. : 2002 , Grounded Theory Research and Theory Building . Advances in Developing Human Resources , 4(3) , 277 – 295 , London : Sage Publications .
   Google Scholar
• Goldenberg , E. P. 1988 . Mathematics, metaphors, and human factors: mathematical, technical and pedagogical challenges in the educational use of graphical representation of functions . Journal of Mathematical Behaviour , 7 : 135 – 173 .
   Google Scholar
• Goldenberg , E. P. 1995 . “ Ruminations about dynamic imagery ” . In Exploiting Mental Imagery with Computers in Mathematics Education , Edited by: Sutherland and Mason . 202 – 224 . Berlin, Heidelberg : Springer-Verlag .
   Google Scholar
• Glaser , B. and Strauss , A. 1967 . The Discovery of Grounded theory: Strategies for Qualitative Research , New York : De Gruyter .
   Google Scholar
• Hadjidemetriou , C. and Williams , J. : 2002 , Children's graphical conceptions . Research in Mathematics Education 4 . Papers of the British Society for Research into Learning Mathematics , 69 – 87 .
   Google Scholar
• Hart , K. 1986 . Children's Understanding of Mathematics: 11–16 , 4th edition , Oxford, , London : Alsden Press .
   Google Scholar
• Hennessy , S. , Fung , P. and Scanlon , E. 2001 . The role of the graphic calculator in mediating graphing activity . International Journal of Mathematics Education in Science and Technology , 32 ( 2 ) : 267 – 290 .
   Google Scholar
• Lins , B. 2002 , Towards an Anti-essentialist view of Technolgoy in Mathematics Education: The case of Excel and Cabri-Geometre . Unpublished PhD dissertation , Graduate School of Education, University of Bristol .
   Google Scholar
• Mariotti , M. A. 2002 . “ The influence of technologies advances on students’ mathematics learning ” . In Handbook of International Research in Mathematics Education , Edited by: Bussi , M. , English , L. , Jones , G. , Lesh , R. and Tirosh , D. 695 – 723 . USA : Lawrence Erbaum Associates .
   Google Scholar
• Norman , D. 1993 . Things that make us smart , USA : Perseus Books .
   Google Scholar
• Noss , R. and Hoyles , C. 1996 . Windows on mathematical meanings: learning cultures and computers , London : Kluwer Academic Publishers .
   Google Scholar
• Oxford English Dictionary . J. A. Simpson & E. Weiner 2nd edition , Oxford : Clarendon Press , 1989 . OED Online. Oxford University Press . 10 July 2003. http://dictionary.oed.com/cgi/entry/00181183
   Google Scholar
• Schwarz , B. and Hershkowitz , R. 1999 . Prototypes: brakes or levers in learning the function concept? The role of computer tools . Journal for Research in Mathematics Education , 30 ( 4 ) : 362 – 387 .
   Web of Science ®Google Scholar
• Skemp , R. 1979 . The Psychology of Learning Mathematics , 5th edition , Aylesbury : Penguin .
   Google Scholar
• Sutherland , R. : 1998 , Mathematics Education: A Case for Survival . Based on an inaugural lecture given at the University of Bristol, Bristol .
   Google Scholar