To be or to become: how dynamic geometry changes discourse

References

• Arzarello , F. , Micheletti , C. , Olivero , F. , Robutti , O. , Paola , D. and Gallino , G. 1998 . “ Dragging in Cabri and modalities of transition from conjectures to proofs in geometry ” . In Proceedings of the 22nd Conference of the International Group for the Psychology of Mathematics Education , Edited by: Olivier , A. and Newstead , K. Vol. 1 , 32 – 9 . Stellenbosch, SA : University of Stellenbosch .
   Google Scholar
• Battista , M. 2002 . Learning geometry in a dynamic computer environment . Teaching Children Mathematics , 88 ( 6 ) : 333 – 9 .
   Google Scholar
• Battista , M. 2007 . “ The development of geometric and spatial thinking ” . In Second handbook of research on mathematics thinking and learning , Edited by: Lester , F. 843 – 908 . Greenwich, CT : Information Age Publishing, Inc and NCTM .
   Google Scholar
• Gomes , A. and Vergnaud , G. 2004 . On the learning of geometric concepts using dynamic geometry software . Novas Tecnologias na Educaçao , 2 ( 1 ) : 1 – 20 .
   Google Scholar
• Greaves , M. 2002 . The philosophical status of diagrams , Stanford, CA : CSLI Publications .
   Google Scholar
• Healy , L. , Hölzl , R. , Hoyles , C. and Noss , R. 1994 . Messing up . Micromath , 10 ( 1 ) : 14 – 16 .
   Google Scholar
• Hollebrands , K. 2003 . High school students’ understandings of geometric transformations in the context of a technological environment . Journal of Mathematical Behavior , 22 : 55 – 72 .
   Google Scholar
• Jackiw , N. 1991 . The Geometer's Sketchpad , Berkeley, CA : Key Curriculum Press .
   Google Scholar
• Laborde , C. 1992 . Solving problems in computer based geometry environments: The influence of the features of the software . Zentralbaltt für Didaktik des Mathematik , 4 : 128 – 35 .
   Google Scholar
• Laborde , C. 1993 . “ The computer as part of the learning environment: The case of geometry ” . In Learning from computers: Mathematics education and technology , Edited by: Keitel , C. and Ruthven , K. 48 – 67 . Berlin : Springer-Verlag .
   Google Scholar
• Lave , J. and Wenger , E. 1991 . Situated learning:Legitimate peripheral participation , New York, NY : Cambridge University Press .
   Google Scholar
• Leikin , R. 2006 . “ Learning by teaching: The case of sieve of Eratosthenes and one elementary school teacher ” . In Number theory in mathematics education: Perspectives and prospects , Edited by: Zazkis , R. and Campbell , S. 115 – 40 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Mariotti , M. 2000 . Introduction to proof: The mediation of a dynamic software environment . Educational Studies in Mathematics , 44 ( 1 and 2 ) : 25 – 53 .
   Google Scholar
• Parzysz , B. 1988 . “Knowing” versus “seeing.” Problems of the plane representation of space geometry figures . Educational Studies in Mathematics , 19 : 79 – 92 .
   Google Scholar
• Pickering , A. 1995 . The mangle of practice: Time, agency and science , Chicago, IL : The University of Chicago Press .
   Google Scholar
• Pimm , D. 2006 . “ Drawing on the image in mathematics and art ” . In Mathematics and the aesthetic: New approaches to an ancient affinity , Edited by: Sinclair , N. , Pimm , D. and Higginson , W. 160 – 89 . New York : Springer .
   Google Scholar
• Pratt , D. and Ainley , J. 1997 . The construction of meanings for geometric construction: Two contrasting cases . International Journal of Computers for Mathematics Learning , 1 ( 3 ) : 293 – 322 .
   Google Scholar
• Sfard , A. 2007 . When the rules of discourse change, but nobody tells you: Making sense of mathematics learning from a commognitive standpoint . The Journal of the Learning Sciences , 16 ( 4 ) : 567 – 615 .
   Web of Science ®Google Scholar
• Sfard , A. and McCain , K. 2002 . Analyzing tools: Perspectives on the role of designed artifacts in mathematics learning . The Journal of the Learning Sciences , 11 ( 2 and 3 ) : 153 – 61 .
   Google Scholar
• Yu , P. and Barrett , J.E. 2002 . “ Shapes, actions, and relationships: A semiotic investigation of student discourse in a dynamic geometric environment ” . In Proceedings of the Twenty-Fourth Conference of PME-NA , Edited by: Mewborn , D. S. , Sztajin , P. , White , D. , Wiegel , H. , Bryant , R. and Nooney , K. 775 – 84 . Columbus, OH : Clearing House for Science, mathematics, and Environmental Education .
   Google Scholar