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Infinity - the never-ending struggle

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Tall, David and Tirosh, Dina. (2001) Infinity - the never-ending struggle. Educational Studies in Mathematics, Vol.48 (No.2 -). pp. 129-136. ISSN 0013-1954

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Official URL: http://dx.doi.org/10.1023/A:1016019128773

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics L Education > L Education (General)
Divisions:	Faculty of Social Sciences > Institute of Education
Library of Congress Subject Headings (LCSH):	Infinity, Mathematics -- Study and teaching, Mathematical ability
Journal or Publication Title:	Educational Studies in Mathematics
Publisher:	Springer Netherlands
ISSN:	0013-1954
Date:	November 2001
Volume:	Vol.48
Number:	No.2 -
Page Range:	pp. 129-136
Identification Number:	10.1023/A:1016019128773
Status:	Peer Reviewed
Access rights to Published version:	Open Access
References:	Falk, R. Gassner, D., Ben Zoor, F., & Ben Simon, K., 1986: How do children cope with the infinity of numbers? In Proceedings of the 10th Conference of the International Group for the Psychology of Mathematics Education, (pp. 13–18). UK: London. Fischbein, E., 1978:. Intuition and mathematical education, Osnabrücker Schriften zür Mathematik 1, 148–176. Fischbein, E., Jehiam, R., & Cohen, D., 1995: The concept of rational numbers in high school students and prospective teachers. Educational Studies in Mathematics, 29, 29–44. Fischbein, E., Tirosh, D. & Hess, P., 1979: The Intuition of Infinity, Educational Studies in Mathematics, 10, 3–40. Fischbein, E., Tirosh, D., & Melamed, U., 1981: Is it possible to measure the intuitive acceptance of mathematical statement? Educational Studies in Mathematics, 12, 491–512. Monaghan, J., 1986: Adolescents’ understanding of limits and infinity. Unpublished Ph.D. thesis. Mathematics Education Research Centre, University of Warwick, UK. Piaget, J., & Inhelder, B., 1956: The child’s conception of space. London: Routledge & Kegan Paul. Taback, S., 1975: The child’s concept of limit. In M. Rosskopf (Ed.), Children’s mathematical concepts (pp. 111–144). New York: Teachers College Press. Tsamir, P., 1999: The transition from comparison of finite to the comparison of infinite sets: Teaching prospective teachers. Educational Studies in Mathematics, 38, 209–234. Tsamir, P., & Tirosh, D., 1999: Consistency and representations: The case of actual infinity. Journal for Research in Mathematics Education, 30, 213–219. Vinner, S., & Kidron, I., 1985: The concept of repeating and non-repeating decimals at the senior high level. In R. Herskowitz (Ed.). Proceedings of the 10th Conference of the International Group for the Psychology of Mathematics Education (pp. 357–361). The Netherlands: Noorwijkerhout.
URI:	http://wrap.warwick.ac.uk/id/eprint/475