REFERENCES
Abelson, Sussman and Sussman (1985). Structure and Interpretation of Computer Programs. Cambridge, Mass: MIT Press.
Confrey, J. and Costa, S. (1996). A critique of the selection of "mathematical objects" as central metaphor for advanced mathematical thinking, The International Journal of Computers for Mathematical Learning1(2): 139–168. Kluwer Academic Publishers.
Dubinsky, Elterman and Gong (1988). The student’s construction of quantification, For the Learning of Mathematics8(2): 44–51. Montreal, Quebec: FLM Publishing Association.
Dubinsky, E. (1991). Reflective abstraction in advanced mathematical thinking, Advanced Mathematical Thinking. Kluwer Academic Publishers.
Lakatos, I. (1976). Proofs and Refutations. London: Cambridge University Press.
Leron, U. (1987). Abstraction barriers in mathematics and computer science. In Hillel, J. (Ed.), Proceedings of the Third International Conference for Logo and Mathematics Education.
Noss, R. and Hoyles, C. (1996). Windows on Mathematical Meanings–Learning Cultures and Computers, Kluwer Academic Publishers.
Papert, S. (1980). Mindstorms: Children, Computers, and Powerful Ideas. New York: Basic Books.
Tall, D. (Ed.) (1991). Advanced Mathematical Thinking. Kluwer Academic Publishers.
Tall, D. (1997) (in press), Critique of a critique, The International Journal of Computers for Mathematical Learning2(1). Kluwer Academic Publishers.
Webster’s Third New International Dictionary (1966).
Wilensky, U. (1991). Abstract meditations on the concrete and concrete implications for mathematical education. In I. Harel and S. Papert (Eds.), Constructionism(pp. 193–203). Norwood, NJ: Ablex Publishing Corporation.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Frorer , P., Manes , M. & Hazzan , O. Revealing the Faces of Abstraction. International Journal of Computers for Mathematical Learning 2, 217–228 (1997). https://doi.org/10.1023/A:1009756617451
Issue Date:
DOI: https://doi.org/10.1023/A:1009756617451