Aporism: Uncertainty about Mathematics;Aporismus: Unsicherheit bzgl. der Mathematik

ZDM - International Journal on Mathematics Education

Volumn 30, Issue 3, 1998, Pages 88-94

  Skovsmose, Ole ^a  

^a AARHUS UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84867429675     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/BF02653176     Document Type: Article

References (46)

1. Ayer, A. J. (1946): Language, Truth and Logic. London: Victor Golanz, 2nd ed.
2. Bloor, D. (1976): Knowledge and Social Imagery. London: Routledge and Kegan Paul
3. Borba, M.; Skovsmose, O. (1997): The Ideology of Certainty in Mathematics Education. In: For the Learning of Mathematics 17 (3), 17-23
4. Bourdieu, P. (1991): Language and Symbolic Power. Cambridge: Polity Press (Edited and introduced by John B. Thompson)
5. Booss-Bavnbek, B. (1991): Against Ill-founded, Irresponsible Modelling. In: M. Niss; W. Blum; I. Huntley (Eds.), Teaching of Mathematical Modelling and Applications. Chichester: Ellis Horwood, 70-82
6. Booss-Bavnbek, B. (1995): Model, Prediction, Action: Mathematics Induced Changes in Science, Technology and Public Thinking. In: Res Humanea 1, 113-172
7. Booss-Bavnbek, B.; Pate, G. (1989): Information Technology and Mathematical Modelling, the Software Crisis and Educational Consequenes. In: Zentralblatt für Didaktik der Mathematik 21(5), 167-175
8. Carnap, R. (1937): The Logical Syntax of Language. London: Routledge and Kegan Paul (Original German edition from 1934)
9. Carnap, R. (1959): The Elimination of Metaphysics Through Logical Analysis of Language. In: A. J. Ayer (Ed.), Logical Positivism. New York: The Free Press, 60-81 (First published in 1932)
10. D'Ambrosio, U. (1994): Cultural Framing ofMathematics Teaching and Learning. In: R. Biehler; R. W. Scholz; R. Strässer B. Winkelmann (Eds.), Didactics of Mathematics as a Scientific Discipline. Dordrecht: Kluwer Academic Publishers, 443-455
11. Damerow, P.; Elwitz, U.; Keitel, C.; Zimmer, J. (1974): Elementarmathematik: Lernen für die Praxis? - Stuttgart: Klett
12. Davis, C. (1989): A Hippocratic Oath ofMathematicians. In: C. Keitel et al. (Eds.), Mathematics, Education and Society. Paris: UNESCO, Division of Science, Technical and Environmental Education, 44-47
13. Davis, P. J.; Hersh, R. (1988): Descartes' Dream: The World According to Mathematics. London: Penguin Books
14. Descartes, R. (1993): Meditations on First Philosophy. London: Routledge (Edited and with an introduction by Stanley Tweyman. First Latin edition 1641)
15. Ellul, J. (1964): The Technological Society. New York: Random House (First French edition 1954)
16. Ernest, P. (1991): The Philosophy of Mathematics Education. London: The Falmer Press
17. Fischer, R. (1993): Mathematics and Social Change. In: S. Restivo et al. (Eds.), Math Worlds: Philosophical and Social Studies of Mathematics and Mathematics Education. Albany: State University of New York Press, 197-218
18. Giddens, A. (1984): The Constitution of Society. Cambridge: Polity Press
19. Habermas, J. (1984, 1987): The Theory of Communicative Action I-II. London: Heinemann, and Cambridge: Polity Press (First German edition 1981)
20. Hahn, H. (1959): Logic Mathematics and Knowledge of Nature. In: A. J. Ayer (Ed.), Logical Positivism. New York: The Free Press, 147-161 (First published in 1933)
21. Hempel, C. G. (1959): The Empiricist Criterion of Meaning. In: A. J. Ayer (Ed.), Logical Positivism. New York: The Free Press, 108-129 (First published in 1950)
22. Højrup, J.; Boss-Bavnbek, B. (1994): On Mathematics and War: An Essay on the Implications, Past and Present, of the Military Involvement of the Mathematics Sciences for Their Development and Potentials. In: J. Højrup, In Meassure, Number and Weight: Studies in Mathematics and Culture. Albany: State University of New York Press, 225-278
23. Jensen, H. S.; Skovsmose, O. (1986): Teknologikritik. Herning: Systime (in Danish)
24. Kant, I. (1933): Critique of Pure Reason. London: MacMillan (Translated by Norman Kemp Smith. First German edition 1781)
25. Keitel, C. (1989): Mathematics and Technology. In: For the Learning of Mathematics 9(1), 7-13
26. Keitel, C. (1993): Implicit Mathematical Models in Social Practice and Explicit Mathematics Teaching by Applications. In: J. de Lange et al. (Eds.), Innovation in Maths Education by Modelling and Applications. Chichester: Ellis Horwood, 19-30
27. Keitel, C. et al. (Eds.) (1989): Mathematics, Education and Society. Paris: UNESCO, Division of Science, Technical and Environmental Education
28. Keitel, C.; Kotzmann, E.; Skovsmose, O. (1993): Beyond the Tunnel-Vision: Analysing the Relationship Between Mathematics, Society and Technology. In: C. Keitel; K. Ruthven (Eds.), Learning from Computers: Mathematics Education and Technology. Berlin: Springer, 243-279
29. Kitcher, P. (1984): The Nature of Mathematical Knowledge. Oxford: Oxford University Press
30. Lakatos, I (1970): Falsification and the Methodology of Scientific Research Programmes. In: I. Lakatos; A. Musgrave (Eds.), Criticism and the Growth of Knowledge. Cambridge: Cambridge University Press, 91-196
31. Lakatos, I. (1976): Proofs and Refutations. Cambridge: Cambridge University Press
32. Lakatos, I. (1978): Mathematics, Science and Epistemology: Philosophical Papers Volume 2. Cambridge: Cambridge University Press (Edited by John Worrall and Gregory Currie)
33. Mill, J. S. (1970): A System of Logic. London: Longman (First edition 1843)
34. Niss, M. (1994): Mathematics in Society. In: R. Biehler; R. W. Scholz; R. Strässer B. Winkelmann (Eds.), Didactics of Mathematics as a Scientific Discipline. Dordrecht: Kluwer Academic Publishers, 367-378
35. Popper, K. R. (1963): Conjectures and Refutations. London: Routledge and Kegan Paul
36. Popper, K. R. (1965): The Logic of Scientific Discovery. New York: Harper and Row (First German edition 1934)
37. Restivo, S. et al. (Eds.) (1993): Math Worlds: Philosophical and Social Studies of Mathematics and Mathematics Education. Albany: State University of New York Press
38. Russell, B. (1993): My Philosophical Development. London: Routledge (First edition 1959)
39. Sapir, E. (1929): The Status as Linguistic as a Science. In: Language 5, 207-214
40. Searle, J. (1969): Speech Acts. Cambridge: Cambridge University Press
41. Skovsmose, O. (1994): Towards a Philosophy of Critical Mathematical Education. Dordrecht: Kluwer
42. Skovsmose, O.; Nielsen, L. (1996): Critical Mathematics Education. In: A. Bishop et al. (Eds.), International Handbook of Mathematics Education. Dordrecht: Kluwer Academic Publishers, 1257-1288
43. Swetz, F. J. (1987): Capitalism and Arithmetic: The New Math of the 15th Century. La Salle, IL: Open Court
44. Tymozcko, T. (1994): Humanistic and Utilitarian Aspects of Mathematics. In: D. F. Robitaille; D. H. Wheeler; C. Kieran (Eds.), Selected Lectures for the 7th International Congress on Mathematical Education. Sainte-Foy: Les Presses De L'Université Laval
45. Whitehead, A. N.; Russell, B. (1910-1913): Principia Mathematica I-III. Cambridge: Cambridge University Press
46. Whorf, B. L. (1956): Language, Thought and Reality. New York: The MIT Press (Edited by J. B. Carrol)