179
Views
4
CrossRef citations to date
0
Altmetric
TEACHING APPROACHES IN THE MATHEMATICS CLASSROOM

USING THEORETICAL-COMPUTATIONAL CONFLICTS TO ENRICH THE CONCEPT IMAGE OF DERIVATIVE

, &
Pages 63-78 | Published online: 14 Apr 2008

References

  • Abrahão , A. M. C. : 1998 , O comportamento de professores frente a alguns gráficos de funç[otilde]es f: R→R obtidos com novas tecnologias . Unpublished MSc Dissertation , Pontificia Universidade Católica , Brasil .
  • Tall , D O. and Barnard , A. D. : 1997 , ‘ Cognitive units, connections, and mathematical proof ’. Proceedings of the 21st Annual Conference of the International Group for the Psychology of Mathematics Education , Lahti , Finland , 2 , 41 – 48 .
  • Belfort , E. and Guimarães , L. C. : 1998 , ‘ Uma experiência com software educativo na formação continuada de professores de matemática ’. Anais do VI Encontro Nacional de Educação Matemática , São Leopoldo , Brasil , II , 376 – 379 .
  • Giraldo , V. : 2001 , Magnificação local e conflitos téorico-computacionais . Exame de qualificação (upgrade essay), Programa de Engenharia de Sistemas e Computação, COPPE, Universidade Federal do Rio de Janeiro, Brasil .
  • Giraldo , V. and Carvalho , L. M. : 2002 , ‘ Local magnification and theoretical-computational conflicts ’. Proceedings of the 26th Annual Conference of the International Group for the Psychology of Mathematics Education , Norwich , England , 1 , 277 .
  • Giraldo , V. and Carvalho , L. M. : 2003 , ‘ Local straightness and theoretical-computational conflicts: computational tools on the development of the concept image of derivative and limit ’. Third Conference of the European Society for Research in Mathematics Education , Bellaria , Italy . Available for download from: http://www.soton.ac.uk/ crime/tooltech/tooltechcerme3.html .
  • Hunter , M. , Monaghan , J. D. and Roper , T. : 1993 , ‘ The effect of computer algebra use on students’ Algebraic Thinking ’. Working Papers for ESRC Algebra Seminar , Institute of Education , London, , UK .
  • Laudares , J. B. and Lachini , J. : 2000 , ‘ O uso do computador no ensino de matemática na graduação ’. 23a Reunião Anual da Associação Nacional de Pós-Graduação e Pesquisa em Educação , Brazil : Brasília , 32 – 43 .
  • Sierpinska , A. 1992 . “ On understanding the notion of function ” . In MAA Notes and Report Series Edited by: Harel , G. and Dubinsky , E. 25 – 58 .
  • Tall , D. O. 2001 . ‘Cognitive development in advanced mathematics using technology’ . Mathematics Education Research Journal , 12 ( 3 ) : 210 – 230 .
  • Tall , D. O. : 2000 , ‘ Biological Brain, Mathematical Mind and Computational Computers (how the computer can support mathematical thinking and learning) ’. Plenary Presentation for ATCM Conference , Thailand : Chang Mai . Available on www.davidtall.com/papers .
  • Tall , D. O. and Vinner , S. 1981 . ‘Concept image and concept definition in mathematics with special reference to limits and continuity’ . Educational Studies in Mathematics , 12 : 151 – 169 .
  • Thurston , W. P. 1990 . ‘Mathematical Education’ . Notices of the American Mathematical Society , 37 ( 7 ) : 844 – 850 .
  • Vinner , S. 1991 . “ ‘The Role of Definitions in the Teaching and Learning of Mathematics’ ” . In Advanced Mathematical Thinking , Edited by: Tall , D. 65 – 81 . Dordrecht : Kluwer .
  • Vinner , S. 1983 . Concept definition, concept image and the notion of function’ . The International Journal of Mathematical Education in Science and Technology , 14 : 293 – 305 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.