Revisiting Aspects of Visualization in Mathematics Education

Abraham Arcavi

La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana (2015)

  • Volume: 8, Issue: 3, page 143-160
  • ISSN: 1972-7356

How to cite

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Arcavi, Abraham. "Revisiting Aspects of Visualization in Mathematics Education." La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana 8.3 (2015): 143-160. <http://eudml.org/doc/293992>.

@article{Arcavi2015,
author = {Arcavi, Abraham},
journal = {La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana},
language = {eng},
month = {12},
number = {3},
pages = {143-160},
publisher = {Unione Matematica Italiana},
title = {Revisiting Aspects of Visualization in Mathematics Education},
url = {http://eudml.org/doc/293992},
volume = {8},
year = {2015},
}

TY - JOUR
AU - Arcavi, Abraham
TI - Revisiting Aspects of Visualization in Mathematics Education
JO - La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana
DA - 2015/12//
PB - Unione Matematica Italiana
VL - 8
IS - 3
SP - 143
EP - 160
LA - eng
UR - http://eudml.org/doc/293992
ER -

References

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  1. ALSINA, C. and NELSEN, R. (2006), Math Made Visual: Creating Images for Understanding Mathematics, Washington: The Mathematical Association of America. Zbl1132.00001MR2216733DOI10.5948/UPO9781614441007.025
  2. ARCAVI, A. (2000), The role of visual representations in the learning of mathematics, Educational Studies in Mathematics, 52 (3), 215-241. 
  3. COXETER, H.S.M. and GREITZER, S.L. (1967), Geometry Revisited, Washington: The Mathematical Association of America. Zbl0166.16402MR3155265
  4. EISENBERG, T. (2000), On torpedoes and non-intuitive problems, Teaching Mathematics and its Applications, 19 (3), 98-103. 
  5. FIGUEIRAS, L. and ARCAVI, A. (2014), A touch of mathematics: coming to our senses by observing the visually impaired, ZDM - The International Journal on Mathematics Education, 46 (1), 123-133. 
  6. HANNA, G. (1990), Some pedagogical aspects of proof, Interchange, 21 (1), 6-13. 
  7. HANNA, G. and DE VILLIERS, M. (2012), Proof and Proving in Mathematics Education. The 19th ICMI Study, Dordrecht: Springer. Zbl1234.00015
  8. HORGAN, J. (1993), The death of proof, Scientific American, October, 74-82. MR1254647DOI10.1038/scientificamerican1093-92
  9. KIRRANE, D.E. (1992), Visual Learning, Training and Development, 46 (9), 58-63. 
  10. MITCHELL, W.J.T. (1994), Picture Theory: Essays on Verbal and Visual Representations, Chicago: The University of Chicago Press. 
  11. MUDALY, V. (2010), Thinking with diagrams whilst writing with words, Pythagoras, Journal of the Association for Mathematics Education of South Africa, 71, 65-75. 
  12. PRESMEG, N. (2014), Contemplating visualization as an epistemological learning tool in mathematics, ZDM - The International Journal on Mathematics Education, 46 (1), 151-157. 
  13. RIVERA, F.D., STEINBRING, H. and ARCAVI, A. (Guest Editors) (2014), Visualization as an Epistemological Learning Tool, ZDM - The International Journal on Mathematics Education, 46 (1). 
  14. SMUDGE, S. (1999), Junior Maths Medicine, Dexter Graphics. 
  15. ZAZKIS, R., DUBINSKY, E. and DAUTERMANN, J. (1996), Coordinating visual and analytic strategies: A study of students' understanding of the group D4, Journal for Research in Mathematics Education, 27(4), 435-456. 

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