Skip to main navigation menu Skip to main content Skip to site footer
Logo Revista Latinoamericana de Investigación en Matemática Educativa

Special Article

Vol. 17 No. 4(II) (2014): Diciembre

GEOMETRIC LOCUS ACTIVITIES IN A DYNAMIC GEOMETRY SYSTEM. NON-ICONIC VISUALIZATION AND INSTRUMENTAL GENESIS

DOI
https://doi.org/10.12802/relime.13.17418
Submitted
July 5, 2023
Published
2014-12-30

Abstract

This paper presents a study on the use of geometric locus using a dynamic geometry system (GeoGebra) in order to pass from Geometry II (a natural proto - axiomatic Geometry) to Geometry III (a complete axiomatic Geometry). The research was conducted with 30 Spanish college prospective mathematics teachers. The Geometrical Working Space theory (GWS) was used as a theoretical framework to describe the figurative and instrumental genesis processes involved in the learning processes in computer environments. To study these two geneses, iconic visualization versus non - iconic visualization, along with instrumental and dimensional deconstruction concepts, was used. The authors identify typologies of images and visualization uses.

References

  1. Arcavi, A. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52 (3), 215–24.
  2. Artigue, M. (2002). Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International Journal of Computers for Mathematical Learning, 7, 245–274.
  3. Botana, F (2002). Interactive versus Symbolic Approaches to Plane Loci Generation in Dynamic Geometry Environments, Computational Science, Volume 2330, 211- 218.
  4. Botana, F.; Abánades, M. A.; Escribano, J. (2011): Exact Internet accessible computation of paths of points in planar linkages and diagrams. Computer Applications in Engineering Education, 19, 835-841.
  5. Duval, R. (2005). Les conditions cognitives de l´apprentissage de la géométrie: Développement de la visualization, différenciation des raisonnements et coordination de leurs fontionnements. Annales de Didactique et de Sciences Cognitives, 10, 5-53.
  6. Duval, R. (1999), Representation, vision and visualization: Cognitive functions in mathematical thinking, Basic issues for learning, In F. Hitt and M. Santos (Eds.), Proceedings of the 21st North American PME Conference (Vol. 1, pp. 3–26). Mexico.
  7. Gómez - Chacón, I. Mª & Escribano, J. (2011). Teaching geometric locus using GeoGebra. An experience with pre-service teachers. GeoGebra International Journal of Romania (GGIJRO), GeoGebra The New Language For The Third Millennium, 2 (1), 209-224.
  8. Gómez - Chacón, I. Mª (2012). Affective pathways and interactive visualization in the context of technological and professional mathematical knowledge. Nordic Studies in Mathematics Education, 17 (3-4), 57–74.
  9. Guzmán, M. de (2002). The role of visualization in the teaching and learning of mathematical Analysis. Proceedings of the 2nd International Conference on the Teaching of Mathematics (at the undergraduate level). University of Crete. Greece.
  10. Houdement, C. y Kuzniak, A., (2006). Paradigmes géométriques et enseignement de la géométrie. Annales de didactique et de sciences cognitives, 11, 175-193.
  11. Kuzniak, A. & Richard, P. R. (2014). Spaces for Mathematical Work: Viewpoints and perspectives. Revista Latinoamericana de Investigación en Matemática Educativa, 17 (Número Especial TOMO I), pp. 17-27.
  12. Mithalal, J. (2010). Déconstruction instrumentale et déconstruction dimensionnelle dans le contexte de la géométrie dynamique tridimensionnelle, Thèse de l’université J. Fourier, Grenoble.
  13. Presmeg, N.C. (2006). Research on visualization in learning and teaching mathematics, Handbook of Research on the Psychology of Mathematics Education: Past, Present and Future. PME 1976-2006. (pp. 205–235 ). Rotterdam, The Netherlands: Sense Publishers.
  14. Rabardel, P. (1995). Les hommes et les technologies. Une approche cognitive des instruments contemporains. Paris: Université Paris 8.

Downloads

Download data is not yet available.

Similar Articles

<< < 11 12 13 14 15 16 17 18 19 20 > >> 

You may also start an advanced similarity search for this article.