An exploration in the space of mathematics educations

• Abelson, H. & diSessa, A. (1980). Turtle Geometry: The Computer as a Medium for Exploring Mathematics. Cambridge, MA: MIT Press.

  Google Scholar 

• Clayson, J. (1990). Visual Modeling with Logo: A Structural Approach to Seeing. Cambridge, MA: MIT Press.

  Google Scholar 

• Confrey, J. and Costa, S. (In press). A critique of the selection of “Mathematical Objects” is central metaphor for advanced mathematical thinking. Intentional Journal of Computers for Mathematical Learning.

• diSessa, A., Holyes, C., Noss, R. and Edwards, L. (Eds.) (1996). Computers and Exploratory Learning. Heidelberg: Springer Verlag.

  Google Scholar 

• Dorfler, W. (1993). Computer use and views of the mind. In C. Keitel and K. Ruthven (Eds.), Learning from Computers: Mathematics Education and Technology (pp. 159–186). New York: Springer-Verlag.

  Google Scholar 

• Dubinsky, E. and Harel, G. (1992). The nature of the process conception of function. In G. Harel and E. Dubinsky (Eds.), The Concept of Function. Washington, DC: Mathematical Association of America.

  Google Scholar 

• Greene, Andree. Logo Art. Shown in art exhibitions in Montreal and elsewhere.

• Harel, Idit (1991). Children Designers. NJ: Ablex.

  Google Scholar 

• Hoyles, C. and Noss, R. (Eds.) (1992). Learning Mathematics and Logo. Cambridge, MA: MIT Press.

  Google Scholar 

• Kafai, Y. (1995). Minds In Play: Computer Game Design as a Context for Children's Learning. NJ: Erlbaum.

  Google Scholar 

• Kahneman, D. and Tversky, A. (1982). Judgment Under Uncertainty. Cambridge: Cambridge University Press.

  Google Scholar 

• Kaput, J. J. (1992). Technology and Mathematics Education. In A. C. Grouws (Ed.), Handbook of Research and Teaching in Mathematics. New York: Macmillan.

  Google Scholar 

• Lawler, R. (1981). The progressive construction of mind, Cognitive Science, 5: 1–30.

  Google Scholar 

• Lawler, R. (1985). Computer Experience and Cognitive Development. NY: Wiley.

  Google Scholar 

• Noss, R. and Hoyles, C. (1996). Windows on Mathematical Meaning: Learning Cultures and Computers. Dordrecht: Kluwer.

  Google Scholar 

• Noss, R. (In press). On static and dynamic algebra systems. In J. Kaput (Ed.), Early Algebra.

• Papert, S. (1980). Mindstorms: Children, Computers and Powerful Ideas. New York: Basic Books, Inc.

  Google Scholar 

• Papert, S. (1986). Beyond the cognitive: The other face of mathematics. Proceedings of the Nineteenth International Conference for the Psychology of Mathematics Education, Plenary Lectures, 51–58.

• Papert, S. (1992). The Children's Machine: Rethinking School in the Age of the Computer. New York: Basic Books, Inc.

  Google Scholar 

• Papert, S. (In press) The Connected Family: Bridging the Digital Generation Gap. Atlanta: Longstreet Press, Inc.

• Resnick, M. (1996). New paradigms for computing, new paradigms for thinking. In A. disessa, C. Hoyles, R. Noss, and L. Edwards (Eds.), The Design of Computation Media to Support Exploratory Learning. (pp. 31–44).

• Resnick, M. (1994). Turtles, Termites, and Traffic Jams: Explorations in Massively Parallel Microworlds. Cambridge, MA: MIT Press.

  Google Scholar 

• Resnick, M., Ocko, S. and Rapert, S. (1988). LEDO, logo, and design. Children's Environments Quarterly, 5(4): 14–18.

  Google Scholar 

• Sfard, A. and Leron, U. (1996). Just give me a computer and I will move the earth: Programming as a catalyst of a cultural revolution in the mathematics classroom. International Journal of Computers for Mathematical Learning.

• Sfard, A. (1992). Operational origins of mathematical objects and the quandary of reification: The case of function. In G. Harel and E. Dubinsky (Eds.), The Concept of Function (pp. 59–84). Washington, DC: Mathematical Association of America.

  Google Scholar 

• Sfard, A. (1994). Reification as the birth of metaphor. For the Learning of Mathematics, 14(1): 44–55.

  Google Scholar 

• Shaughnessy, J. M. (1992). Research in probability and statistics. In A. G. Grouws (Ed.), Handbook of Research and Teching in Mathematics. New York: Macmillan.

  Google Scholar 

• Solomon, C. Computer Environments for Children: A Reflection on Theories of Learning. Cambridge MA: MIT Press.

• Weir, S. (1987). Cultivating Minds: A Logo Casebook. New York: Harper & Row.

  Google Scholar 

• Wilensky, U. (1996). Modeling Rugby: Kick First, Generalize later? International Journal of Computers for Mathematical Learning, 1(1).

• Wilensky, U. (1991). Abstract meditations on the concrete and concrete implications for mathematics education. In. I. Harel and S. Papert (Eds.), Constructionism. Norwood, NJ: Ablex Publishing Corp.

  Google Scholar 

• Wilensky, U. (1993). Connected Mathematics: Building Concrete Relationships with Mathematical Knowledge. Doctoral dissertation. Cambridge, MA: MIT Media Laboratory.

  Google Scholar 

• Wilensky, U. (1995). Paradox, programming and learning probability. Journal of Mathematical Behavior. 14(2).

Download references