The microevolution of mathematical knowledge: The case of randomness

Journal of the Learning Sciences

Volumn 11, Issue 4, 2002, Pages 453-488

  Pratt, Dave ^b   Noss, Richard ^a  

^a UNIVERSITY OF LONDON   (United Kingdom)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036405099     PISSN: 10508406     EISSN: None     Source Type: Journal    
DOI: 10.1207/S15327809JLS1104_2     Document Type: Article

References (21)

1. Confrey, J., & 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, 139-168.
2. diSessa, A. (1993). Towards an epistemology of physics. Cognition and Instruction, 10, 105-226.
3. Dubinsky, E. (1991). Reflective abstraction in advanced mathematical thinking. In D. Tall (Ed.), Advanced mathematical thinking (pp. 95-123). Dordrecht, The Netherlands: Kluwer.
4. Gray, E. M., & Tall, D. O. (1994). Duality, ambiguity and flexibility: A proceptual view of simple arithmetic. Journal for Research in Mathematics Education, 26, 115-141.
5. Hoyles, C., & Noss, R. (1992). Looking back and looking forward. In C. Hoyles & R. Noss (Eds.), Learning mathematics and logo (pp. 431-468). Cambridge, MA: MIT Press.
6. Hoyles, C., Noss, R., & Pozzi, S. (2001) Proportional reasoning in nursing practice. Journal for Research in Mathematics Education, 32, 4-27.
7. Konold, C., Pollatsek, A., Well, A., Lohmeier, J., & Lipson, A. (1993). Inconsistencies in students' reasoning about probability. Journal for Research in Mathematics Education, 24, 392-414.
8. Lave, J. (1988). Cognition in practice. Cambridge, England: Cambridge University Press.
9. Nemirovsky, R. (in press). On guessing the essential thing. In K. Gravemeijer, R. Lehrer, B. Van Oers, & L. Verschaffel (Eds.), Symbolizing, modeling and tool use in mathematics education. Dordrecht, The Netherlands: Kluwer.
10. Nisbett, R., Krantz, D., Jepson, C., & Kunda, Z. (1983). The use of statistical heuristics in everyday inductive reasoning. Psychological Review, 90, 339-363.
11. Noss, R., & Hoyles, C. (1996). Windows on mathematical meanings: Learning cultures and computers. Dordrecht, The Netherlands: Kluwer.
12. Noss, R., Hoyles, C., & Pozzi, S. (in press). Abstraction in expertise: a study of nurses' conceptions of concentration. Journal for Research in Mathematics Education.
13. Papert, S. (1982). Mindstorms: Children, computers and powerful ideas. London: Harvester.
14. Piaget, J., & Inhelder, B. (1975). The origin of the idea of chance in children. (L. Leake Jr., P. Burrell, & H. D. Fishbein, Trans.). New York: Norton. (Original work published in 1951)
15. Pratt, D. (1998a). The construction of meanings in and for a stochastic domain of abstraction. Unpublished doctoral dissertation, University of London, Institute of Education.
16. Pratt, D. (1998b). The co-ordination of meanings for randomness. For the Learning of Mathematics, 18(3), 2-11.
17. Pratt, D. (2000). Making sense of the total of two dice. Journal for Research in Mathematics Education, 31 (5), 602-625.
18. Resnick, L. (1991). Shared cognition: Thinking as a social practice. In L. Resnick, J. Levine, & S. Teasley (Eds.), Perspectives on socially shared cognition (pp. 1-20). Washington, DC: American Psychological Association.
19. Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on process and objects as different sides of the same coin. Educational Studies in Mathematics, 22, 1-36.
20. Sfard, A. (1994). Reification as the birth of metaphor. For the Learning of Mathematics, 14(1) 44-55.
21. Wilensky, U. (1991). Abstract meditations on the concrete and concrete implications for mathematics education. In I. Harel & S. Papert (Eds.), Constructionism (pp. 193-204). Norwood, NJ: Ablex.