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Metaphorical objects in advanced mathematical thinking

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Tall, David. (1997) Metaphorical objects in advanced mathematical thinking. International Journal of Computers for Mathematical Learning, Vol. 2 (No. 1). pp. 61-65. ISSN 1382-3892

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Official URL: http://dx.doi.org/10.1023/A:1009758425450

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Social Sciences > Institute of Education
Library of Congress Subject Headings (LCSH):	Mathematics -- Research
Journal or Publication Title:	International Journal of Computers for Mathematical Learning
Publisher:	Springer Netherlands
ISSN:	1382-3892
Date:	September 1997
Volume:	Vol. 2
Number:	No. 1
Page Range:	pp. 61-65
Identification Number:	10.1023/A:1009758425450
Status:	Peer Reviewed
Access rights to Published version:	Open Access
References:	Confrey, J. and Costa, S.: 1996. ‘A critique of the selection of “mathematical objects” as a central metaphor for advanced mathematical thinking’, International Journal of Computers for Mathematical Learning 1(2), 139–168. Dubinsky, Elterman and Gong: 1988, ‘The student’s construction of quantification’. For the Learning of Mathematics 8(2), 44–51. Gian-Carl-Rota: 1980, ‘Preface’, in Davis and Hirsch, The Mathematical Experience (published 1981), Boston, Birkhauser. Gray, E. K. and Tall, D. O. 1994: ‘Duality, ambiguity and flexibility: A proceptual view of simple arithmetic’, Journal for Research in Mathematics Education 26, 115–141. MacLane, S.:1994, ‘Responses to Theoretical Mathematics’, Bulletin (new series) of the American Mathematical Society, 30, 2, 190–191. Sheath, G. and Tall, D. O.: 1983, ‘Visualizing higher level mathematical concepts using computer graphics’, Proceedings of the Seventh International Conference for the Psychology of Mathematics Education, Israel, 357–362. Tall, D. O.: 1985, ‘Understanding the calculus’, Mathematics Teaching, 110, 49–53. Tall, D. O.: 1993, ‘Computer environments for the learning of mathematics’, Didactics of Mathematics as a Scientific Discipline – The State of the Art, ed R. Biehler, R. Scholtz, R. W. Sträßer, B. Winkelmann. Dordrecht: Kluwer, 189–199. – 5 – Tall, D. O.: 1995, ‘Mathematical Growth in Elementary and Advanced Mathematical Thinking’, plenary address. In L. Meira & D. Carraher, (Eds.), Proceedings of PME 19, Recife, Brazil, I, 61–75. Yusof, M. Y. and Tall, D. O. 1995: ‘Professors’ perceptions of students’ mathematical thinking: Do they get what they prefer or what they expect?’, in L. Meira & D. Carraher, (Eds.), Proceedings of PME 19, Recife, Brazil, II, 170–177.
URI:	http://wrap.warwick.ac.uk/id/eprint/513