Irrational numbers on the number line - Where are they?

International Journal of Mathematical Education in Science and Technology

Volumn 38, Issue 4, 2007, Pages 477-488

  Sirotic, N ^a   Zazkis, R ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34249724496     PISSN: 0020739X     EISSN: 14645211     Source Type: Journal    
DOI: 10.1080/00207390601151828     Document Type: Article

References (11)

1. Sirotic, N. and Zazkis, R., 2004, Irrational numbers: dimensions of knowledge, in Proceedings of the Conference for Psychology of Mathematics Education - North American Chapter, Toronto, Canada.
2. Zazkis, R. and Sirotic, N., 2004, Making sense of irrational numbers: focusing on representation, in Proceedings of 28th International Conference for Psychology of Mathematics Education, Bergen, Norway, Vol. 4, pp. 497-505.
3. Fischbein, E., 1994, The irrational numbers and the corresponding epistemological obstacles, in Proceedings of PME-XVIH, Lisbon, Vol. 2, pp. 352-359.
4. Fischbein, E., Jehiam, R. and Cohen, C., 1995, The concept of irrational number in high-school students and prospective teachers. Educational Studies in Mathematics, 29, 29-44.
5. Tirosh, D., Fischbein, E., Graeber, A. and Wilson, J., 1998, Prospective elementary teachers' conceptions of rational numbers. Retrieved June 2003 from the World Wide Web: http://jwilson.coe.uga.edu/Texts.Folder/Tirosh/Pros.El. Tchrs.html
6. Peled, I. and Hershkovitz, S., 1999, Difficulties in knowledge integration: revisiting Zeno's paradox with irrational numbers. International Journal, of Mathematics Education, Science, and Technology, 30(1), 39-46.
7. Arcavi, A., Bruckheimer, M. and Ben-Zvi, R., 1987, History of mathematics for teachers: the case of irrational numbers. For the Learning of Mathematics, 7(2), 18-23.
8. Eves, H., 1990, An Introduction to the History of Mathematics, 6th edn (Montreal: Saunders College Publishing).
9. Schultz, P., 2000, Simon Stevin's introduction of decimals. Retrieved June 2003 from the World Wide Web: http://www.maths.uwa.edu.au/~schultz/3M3/ L11Stevin.html
10. Matz, M., 1982, Towards a process model for high school algebra errors. In: D. Sleeman and J.S. Brown (Eds) Intelligent Tutoring Systems (London: Academic Press), pp. 25-50.
11. Stewart, I., 1995, Nature's Numbers (New York: Basic Books).