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1994 Book DidacticsOfMathematicsAsAScien

mathematics. La Salle, IL: The Open Court Publishing Co.
Cajori, F. (1929b). A history of mathematical notations, Vol. 2: Notations mainly in higher
mathematics. La Salle, IL: The Open Court Publishing Co.
Confrey, J. (1992). Function Probe [Computer program]. Santa Barbara, CA: Intellimation.
Dienes, Z. (1973). The six stages in the process of learning mathematics (P. L. Seaborne,
Trans.). New York: Humanities Press. [Original work published 1970)]
Fey, J. (1989). School algebra for the year 2000. In S. Wagner & C. Kieran (Eds.), Re-
search issues in the learning and teaching of algebra (pp. 199-213). Hillsdale, NJ: Erl-
baum; and Reston, VA: NCTM.
Geometer’s Sketchpad (1992). [Computer program]. Berkeley, CA: Key Curriculum Press.
Goodman, N. (1978). Ways of worldmaking. Hassocks, Sussex: Harvester Press.
Grossberg, S. (1980) How does the brain build a cognitive code? Psychological Review, 87,
Hall, R. (1990). Making mathematics on paper: Constructing representations of stories
about related linear functions. Unpublished doctoral dissertation. University of Califor-
nia at Berkeley, Berkeley, CA.
Harel, G., & Kaput, J. (1992). The influence of notation in the development of mathemati-
cal ideas. In D. Tall & E. Dubinsky (Eds.), Advanced mathematical thinking. Amsterdam
& Boston: Reidel.
Hancock, C., & Kaput, J. (1990). Computerized tools and the process of data modeling. In
G. Booker, P. Cobb, & T. de Mendicutti (Eds.), Proceedings of the 14th Meeting of the
PME Vol. 3 (pp. 165-72). Mexico.
Hancock, C., Kaput, J., & Goldsmith, L. (1992). Authentic inquiry with data: Critical barri-
ers to classroom implementation. Educational Psychologist, 27(3), 337-364.
Hockett, C. F. (1960). The origin of speech. Scientific American, 203, 88-96.
Kaput, J. (1979). Mathematics and learning: Roots of epistemological status. In J. Clement
& J. Lochhead (Eds.), Cognitive process instruction (pp. 289-303). Philadelphia, PA:
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JAMES J. KAPUT
Kaput, J. (1989). Linking representations in the symbol system of algebra. In C. Kieran &
S. Wagner (Eds.), Research issues in the learning and teaching of algebra (pp. 167-
194). Reston, VA: National Council of Teachers of Mathematics; and Hillsdale, NJ: Erl-
baum.
Kaput, J. (1991). Notations and representations as mediators of constructive processes. In
E. von Glasersfeld (Ed.), Constructivism and mathematics education (pp. 53-74). Dor-
drecht, Netherlands: Kluwer.
Kaput, J. (1992). Technology and mathematics education. In D. Grouws (Ed.), Handbook
on research in mathematics teaching and learning (pp. 515-556). New York: Macmillan.
Kaput, J. (1993). MathCars [Computer animation video available from the author]. De-
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