Designing Learning Environments for Developing Understanding of Geometry and Space

By Richard Lehrer; Daniel Chazan | Go to book overview

els--erect a framework of geometry education consistent with a view of mathematics as a socially constituted activity.


REFERENCES

Abels, A., de J. Lange, Brendefur, J., & Halevi, T. ( 1998). Going the distance In National Center for Research in Mathematical Sciences Education & Freudenthal Institute (Eds.), Mathematics in context: A connected curriculum. Chicago: Encyclopaedia Britannica.

Clements, D. H., & Battista, M. T. ( 1989). "Learning geometric concepts in a Logo environment". Journal for Research in Mathematics Education, 20, 450-467.

de J. Lange, Feijs, E., van M. Reeuwijk, & Middleton, J. ( 1997). Figuring all the angles. In National Center for Research in Mathematical Sciences Education & Freudenthal Institute (Eds.), Mathematics in context: A connected curriculum. Chicago: Encyclopaedia Britannica.

de E. Moor ( 1993). Het gelijk van Tatiana Ehrenfest-Afanassjewa [Tatiana Ehrenfest-Afanassjewa was right]. Niewe Wiskrant, 12(4), 15-24.

Ehrenfest-Afanassjewa, T. ( 1931). Übungssammlung zu einer geometrischen Propädeuse [Set of exercises for an introduction to geometry]. The Hague, the Netherlands: Martinus NŹhoff.

Ernest, P. ( 1991). The philosophy of mathematics education. Hampshire, England: Falmer.

Feijs, E., & de J. Lange ( 1995). From a different angle. Manuscript in preparation.

Freudenthal, H. ( 1971). "Geometry between the devil and the deep sea". Educational Studies in Mathematics, 3, 413-435.

Freudenthal, H. ( 1973). Mathematics as an educational task. Dordrecht, the Netherlands: Reidel.

Freudenthal, H. ( 1983). Didactical phenomenology of mathematical structures. Dordrecht, the Netherlands: Reidel.

Freudenthal, H. ( 1991). Revisiting mathematics education. Dordrecht, the Netherlands: Kluwer.

Goddijn, A. ( 1980). Shadow and depth. Utrecht, the Netherlands: OW&CC.

Gravemeijer, K. P. E. ( 1990). "Realistic geometry instruction". In K. Gravemeijer, M. van den Heuvel , & L. Streefland (Eds.), Contexts, free productions, tests and geometry in realistic mathematics education (pp. 79-91). Utrecht, the Netherlands: OW&OC.

Gravemeijer, K. P. E. ( 1994). Developing realistic mathematics education. Utrecht, the Netherlands: Cd-ß Press.

Hoyles, C. ( 1992). Logo mathematics in the classroom. London: Routledge.

Kennedy, J. M. ( 1974). "Icons and information". In D. R. Olson (Ed.), Media and symbols: The forms of expression, communication, and education (pp. 211-230). National Society for the Study of Education. Chicago: University of Chicago Press.

Kindt, M. ( 1980). Pythagoras. Utrecht, the Netherlands: IOWO.

Kraemer, J. M. ( 1990). Meetkunde op de basisschool [Geometry in primary education]. Rotterdam, the Netherlands: Project Onderwijs en Sociaal Milieu.

McIntosh, A., Reys, B. J., & Reys, R. E. ( 1992). "A proposed framework for examining basic number sense". For the Learning of Mathematics, 12(3), 2-8.

Monk, G. S. ( 1992, April). "A study of calculus students' constructions of functional situations: The case of the shadow problem". Paper presented at the Annual Meeting of the American Educational Research Association, San Francisco, CA.

National Center for Research in Mathematical Sciences Education & Freudenthal Institute. (in press). Mathematics in context. Chicago: Encyclopaedia Britannica.

National Council of Teachers of Mathematics. ( 1989). Curriculum and evaluation standards. Reston, VA: Author.

Paulos, J. A. ( 1988). Innumeracy: Mathematical illiteracy and its consequences. New York: Hill & Wang.

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