Bibliography

1

Behr M., Erlwanger S., Nichols E.: 1976, How children view equality sentences (PMCD techical Report No. 3), Florida State University (ERIC Document Reproduction Service No. ED144802).

2

Bishop A.J.: 1988, A review of research on visualisation in mathematics education, in Proceedings of The Fifth International Conference for the Psychology of Mathematics Education, Hungary, Vol. 1, pp. 170-176.

3

Cajori F.A.: 1985, History of Mathematics, Fourth Edition, Chelsea Publishing Company, New York.

4

Clements K.: 1981, Visual imagery and school mathematics, For the Learning of Mathematics 2(2), 33-38.

5

Eisemberg T., Dreyfus T.: 1989, Visualisation in the mathematics curriculum, Special issue of Focus on Learning Problems in Mathematics 11(1&2).

6

Hadamard J.S.: 1949, The psychology of Invention in the Mathematics Field, Princeton University Press, NJ.

7

Hiebert J., Lefevre P.: 1986, Conceptual and procedural knowledge in mathematics: an introductory analysis, in Hiebert J. (ed.), Conceptual and Procedural Knowledge: The Case of Mathematics, Erlbaum, Hillsdale, New York.

8

Jourdain P.E.: 1956, The Nature of Mathematics, in Newman, J.R. (ed.) The World of Mathematics, Simon and Schuster, New York.

9

Kaput J.J.: 1979, Mathematics and learning Roots of epistemological status, in Lochhead, J. and Clement, J. (eds.), Cognitive Process Instruction, Franklin Institute Press.

10

Kieran C.: 1981, Concepts associated with the equality symbol, Educational Studies in Mathematics 12(3), 317-326.

11

Kilpatrick J.: 1988, ``Editorial'', Journal for Research in Mathematics Education 19(4).

12

Paivio A.: 1971, Imagery and Verbal Processes, Holt, Reinehart, and Winston, New York

13

Sfard A.: 1991, On the dual nature of mathematical conceptions: reflections on processes and objects as different sides of the same coin, Educational Studies in Mathematics, 22, 1-36.

14

Sfard A., Linchevski L.: 1994b, The gains and the pitfalls of reification - the case of algebra, Educational Studies in Mathematics , 26, 191-228. Also in P. Cobb (Ed.), Learning Mathematics - Constructivist and Interactionist theories of mathematical development.(pp. 87-124). Dordrecht: Kluwer Academic Publishers (reprint of Sfard & Linchevski, 1994b).

15

Sfard A: 1999, Symbolizing mathematical reality into being: How mathematical discourse and mathematical objects create each other, in P. Cobb,K. E. Yackel, & K. McClain (Eds), Symbolizing and communicating: Perspectives on Mathematical Discourse, Tools, and Instructional Design (pp. 37-98). Mahwah, NJ: Erlbaum.