Students' understanding of the notion of function in dynamic geometry environments

International Journal of Computers for Mathematical Learning

Volumn 1, Issue 3, 1997, Pages 263-291

  Hazzan, Orit ^a   Goldenberg, E Paul ^a  

^a Educational Development Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8644257360     PISSN: 13823892     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00182618     Document Type: Article

References (28)

1. Baulac, Y., Bellemain, F. and Laborde, J. M., designers (1990). Cabri: The Interactive Geometry Notebook. Cabri Géomètre. Pacific Grove, CA: Brooks-Cole.
2. Baulac, Y., Bellemain, F. and Laborde, J. M., designers (1994). Cabri II. Dallas, TX: Texas Instruments.
3. Breidenbach, D., Dubinsky, E., Hawks, J. and Nichols, D. (1992). Development of the process conception of function. Educational Studies in Mathematics 23(3): 247-285.
4. Brock, C. F., Cappo, M., Dromi, D., Rosin, M. and Shenkerman, E. designers (1994). Tangible Math: Geometry Inventor. Cambridge, MA: Logal Educational Software and Systems.
5. Capponi, B. (1992). Cabi Geometre in a college classromm: Teaching and learning the cosine-function. ZDM 5: 165-171.
6. Cuoco, A. (1993). Action to process: Constructing functions from algebra word problem. Intelligent Tutoring Media 4(3/4): 117-127.
7. Dugdale, S., Thompson, P. W., Harvey, W., Demana, F., Waits, B. K., Kieran, C., McConnell, J. W. and Christmas, P. (1995). Technology and algebra curriculum reform: Current issues, potential directions, and research questions. Journal of Computers in Mathematics and Science Teaching 14(3): 325-357.
8. Goldenberg, E. P. (1988). Mathematics, metaphors, and human factors: Mathematical, technical, and pedagogical challenges in the educational use of graphical representation of functions. Journal of Mathematical Behavior 7: 135-173.
9. Goldenberg, E. P. and Cuoco, A. A. (1996). What is dynamic geometry? In R. Lehrer and D. Chazan (Eds.), Designing Learning Environments for Developing Understanding of Geometry and Space. Hillsdale, NJ: Lawrence Erlbaum Associates.
10. Goldenberg, E. P., Lewis, P. and O'Keefe, J. (1992). Dynamic representation and the development of a process understanding of function. In G. Harel and E. Dubinsky (Eds.), The Concept of Function: Aspects of Epistemology and Pedagogy. MAA Notes, Volume 25 1992, Washington, DC: Mathematical Association of America.
11. Harel, G. and Dubinsky, E. (Eds.) (1992). The Concept of Function: Aspects of Epistemology and Pedagogy. Washington, D.C.: Mathematical Association of America.
12. Hazzan, O. (1996). On topological properties of functions. For the Learning of Mathematics 16(3): 39-42.
13. Holland, G. (1993). GEOLOG. Geometrische Konstruktionen mit dem Computer. Bonn: Dümmler.
14. Hölzl, R. (1996). How does 'dragging' affect the learning of geometry? International Journal for Computers in Math Learning 1(2): 169-187.
15. Jackiw, N. designer (1991). The Geometer's Sketchpad. Berkeley, CA: Key Curriculum Press.
16. Jackiw, N. designer (1995). The Geometer's Sketchpad, v, 3.0. Berkeley, CA: Key Curriculum Press.
17. Kadunz, G. and Kautschitsch, H. (1994): Thales. Experimentelle Geometrie mit dem Computer. Klett: Stuttgart.
18. Laborde, C. (1995). Designing tasks for learning geometry in a computer based environment. In L. Burton and B. Jaworski (Eds.), Technology in Mathematics Teaching - A Bridge Between Teaching and Learning (pp. 35-68). Londres: Chartwell-Bratt.
19. Laborde, C. and Laborde, J.-M. (1995). What about a learning environment where Euclidean concepts are manipulated with a mouse? In A. DiSessa, C. M. Hoyles, R. Noss and L. Edwards (Eds.), Computers and Exploratory Learning. NATO ASI Series, Berlin: Springer Verlag.
20. Laborde, J. M. and Straßer, R. (1990). Cabri-Geometre: A microworld of geometry for guided discovery learning. ZDM 5: 171-190.
21. Leinhardt, G., Zaslavsky, O. and Stein, M. K. (1990). Function, graphs, and graphing: Tasks, learning, and teaching. Review of Educational Research 60(1): 1-64.
22. Mechling, R. (1994): Euklid. Internet: http//:wmax02.mathematik.uni-wuerzburg.de:80/~weth/programme/Euklid..zip
23. Papert, S. (1980). Mindstorms: Children, Computers and Powerful Ideas. New York: Basic Books, Inc., Publishers.
24. Piaget, J., Grize, J. B., Szeminska, A. and Bang, V. (1977). Epistemology and Psychology of Functions. Dordrecht, Holland: D. Reidel Publishing Company.
25. Scher, D. (1996). Folded paper, dynamic geometry, and proof: A three-tier approach to the conics. Mathematics Teacher 89: 188-193.
26. Schwartz, J. and Yerushalmy, M., designers (1992). The Geometric SuperSupposer. Pleasantville, NY: Sunburst Communications.
27. Sfard, A. (1992). Operational origins of mathematical objects and the quandary of reification - the case of function. In E. Dubinsky and G. Harel (Eds.), The Concept of Function: Aspects of Epistemology and Pedagogy, MAA Notes.
28. Vinner, S. (1983). Concept definition, concept image and the notion of function. International Journal of Mathematical Education in Science and Technology 14: 293-305.