What is dynamic geometry?

Designing Learning Environments for Developing Understanding of Geometry and Space

Volumn , Issue , 2012, Pages 351-368

  Goldenberg, E Paul ^a   Cuoco, Albert A ^a  

^a EDUCATION DEVELOPMENT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85070602223     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9780203053461-21     Document Type: Chapter

References (24)

1. Abelson, H., & diSessa, A. (1980). Turtle geometry, Cambridge, MA: MIT Press.
2. Baulac, Y., Bellemain, E, & Laborde, J. M. (Designers). (1992). Cabri: The interactive geometry notebook (Cabri Géomètre). Pacific Grove, CA: Brooks-Cole.
3. Baulac, Y, Bellemain, R, & Laborde, J. M. (Designers). (1994). Cabri IL Dallas, TX: Texas Instruments.
4. Brock, C. F., Cappo, M., Dromi, D., Rosin, M., & Shenkerman, E. (Designers). (1994). Tangible math: Geometry Inventor. Cambridge, MA: Logal Educational Software and Systems.
5. Cuoco, A. (1993). Action to process: Constructing functions from algebra word problems. Intelligent Tutoring Media, 4(3-4), 117-127.
6. Cuoco, A. (1995). Computational media to support the learning and use of functions. In A. diSessa, C. Hoyles, & R. Noss, with L. Edwards (Eds.), Proceedings of the Advanced NATO Workshop: Computational media to support exploratory learning (pp. 79-107). New York: Springer-Verlag.
7. Cuoco, A., & Goldenberg, E. P. (1996). Dynamic geometry as a bridge from Euclidean geometry to analysis. In D. Schattschneider & J. King (Eds.), Geometry turned on: Dynamic software in learning, teaching and research (MAA Notes, Vol. 41). Washington, DC: Mathematical Association of America.
8. de Villiers, M. (1994). The role and function of a hierarchical classification of quadrilaterals. Tor the Learning of Mathematics, 24(1), 11-18.
9. Feurzeig, W. (1993). Explaining function machines. Intelligent Tutoring Media, 4(3-4), 97-108.
10. Goldenberg. E. P. (1988). Mathematics, metaphors, and human factors. Journal of Mathematical Behavior, 7, 135-173.
11. Goldenberg. E. P. (1991). The difference between graphing software and educational graphing software. In W. Zimmerman & S. Cunningham (Eds.), Visualization in teaching and learning mathematics (MAA Notes, No. 19, pp. 77-86). Washington, DC: Mathematical Association of America.
12. Goldenberg, E. P., & Kliman, M. (1990). Metaphors for understanding graphs: What you see is what you see (Center for Learning, Teaching, and Technology Tech. Rep. No. 90-4). Newton, MA: Education Development Center.
13. Goldenberg, E. P., Lewis, P. G., & O’Keefe, J. (1992). Dynamic representation and the development of an understanding of functions. In. G. Harel & E. Dubinsky (Eds.), The concept of functions: Aspects of epistemology and pedagogy (MAA Notes, No. 25, pp. 235-260). Washington, DC: Mathematical Association of America.
14. Jackiw, N. (Designer). (1991). The Geometer’s Sketchpad. Berkeley, CA: Key Curriculum Press.
15. Jackiw, N. (Designer). (1995). The Geometer’s Sketchpad, v3.0. Berkeley, CA: Key Curriculum Press.
16. Laborde, C. (1992). Solving problems in computer-based geometry environment: The influence of the features of the software. Zentralblatt fur didaktik der mathematik, 4, 128-135.
17. Laborde, C, & Capponi, B. (1994). Cabri-Géomètre constituant d’un milieu pour l’apprentissage de la notion de figure géométrique. DidaTech Seminar, 150, 175-218.
18. Lakatos, I. (1976). Proofs and refutations. Cambridge, England: Cambridge University Press.
19. Parzysz, B. (1988). “Knowing�? vs. “seeing�?: Problems of the plane representation of space geometry figures. Educational Studies in Mathematics, 19(1), 79-92.
20. Pinker, S. (1995). The language instinct. New York: Harper.
21. Rosch, E. (1978). Principles of categorization. In E. Rosch & B. Lloyd (Eds.), Cognition and categorization. Hillsdale, NJ: Lawrence Erlbaum Associates.
22. Schwartz, J., & Yerushalmy, M. (Designers). (1983-1991). The Geometric Supposers, Pleas-antville, NY: Sunburst Communications.
23. Schwartz, J., & Yerushalmy, M. (Designers). (1992). The Geometric SuperSupposer. Pleas-antville, NY: Sunburst Communications.
24. Vinner, S. (1983). Concept definition, concept image and the notion of function. International Journal of Mathematics Education in Science and Technology, 14(3), 293-305.