Intimations of infinity

Notices of the American Mathematical Society

Volumn 51, Issue 7, 2004, Pages 741-750

  Weller, Kirk ^a   Brown, Anne ^b   Dubinsky, Ed ^c   McDonald, Michael ^d   Stenger, Cynthia ^e  

^a UNIVERSITY OF NORTH TEXAS   (United States)

^b INDIANA UNIVERSITY SOUTH BEND   (United States)

^c KENT STATE UNIVERSITY   (United States)

^d OCCIDENTAL COLLEGE   (United States)

^e UNIVERSITY OF NORTH ALABAMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844554766     PISSN: 00029920     EISSN: 10889477     Source Type: Journal    
DOI: None     Document Type: Review

References (16)

1. C. B. BOYER, The history of the calculus, The Two-Year College Mathematics Journal 1 (1970), 60-86.
2. E. DUBINSKY, K. WELLER, M. A. MCDONALD, and A. BROWN, An APOS perspective on historical paradoxes and dichotomies of the infinite (under review).
3. A. BROWN, M. A. MCDONALD, and K. WELLER, Students' conceptions of infinite iterative processes (under review).
4. B. CORNU, Limits, Advanced Mathematical Thinking (D. O. Tall, ed.), Kluwer, Dordrecht, 1991,pp. 153-166.
5. E. DUBLNSKV and M. A. MCDONALD, APOS: A constructivist theory of learning in undergraduate mathematics education research, The Teaching and Learning of Mathematics at University Level: An ICMI Study (D. Holton et al., eds.), Kluwer, Dordrecht, 2001, pp. 273-280.
6. K. HRBACEK and T. JECH, Introduction to Set Theory, M. Dekker, New York, 1978.
7. A. W. MOORE, A brief history of infinity, Sci. Amer. 272 (1995), 112-116.
8. _, The Infinite (2nd edition), Routlcdgc, London and New York, 1999.
9. I. NEWTON, The Prindpia: Vol. 1. The Motion of Bodies (translated into English by A. Motte in 1729. Translations revised and supplied with an historical and explanatory index by F. Cajori), University of California Press, Berkeley, 1934.
10. H. POINCARĖ, Mathematics and Science: Last Essays (J. W. Bolduc, trans.), Dover, New York, 1963.
11. C. STENGER, D. VIDAKOVIC, and K. WELLER, Students' interview responses to a problem involving an infinite iterative process (data for a study in progress), 2003.
12. D. TALL and R. L. E. SCHWARZENBERGER, Conflicts in the learning of real numbers and limits, Math.Teaching 82 (1978), 44-49.
13. K. WELLER, J. CLARK, E. DUBLNSKY, S. LOCH, M. A. MCDONALD, and R. MERKOVSKY, Performance and attitudes in courses based on APOS Theory, Research in Collegiate Mathematics V, CBMS Issues in Mathematics Education, Volume 12 (A. Selden et al., eds.), Amer. Math. Soc., Providence, RI, 2003, pp. 97-131.
14. S. WILLARD, General Topology, Dover, Mineola, NY, 1970.
15. S. R. WILLIAMS, Models of limit held by college calculus students, J. Res. Math. Ed. 22 (1991), 219-236.
16. _, Predications of the limit concept: An application of repertory grids, J. Res. Math. Ed. 32 (2001).