An objectivist critique of relativism in mathematics education

Science and Education

Volumn 10, Issue 3, 2001, Pages 215-241

  Rowlands, Stuart ^a   Graham, T E D ^a   Berry, John ^a  

^a UNIVERSITY OF PLYMOUTH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4544263115     PISSN: 09267220     EISSN: 15731901     Source Type: Journal    
DOI: 10.1023/A:1008745704085     Document Type: Article

References (54)

1. Barker, S. F.: 1964, The Philosophy of Mathematics (Foundations of Philosophy Series), Prentice-Hall, New Jersey.
2. Bereiter, C.: 1994, 'Constructivism, Socioculturism and Popper's World 3', Educational Researcher 23(7), 21-23.
3. Bishop, A. J.: 1990, 'Western Mathematics: The Secret Weapon of Cultural Imperialism', Race & Class 32(2), 51-65.
4. Boden, M.: 1994, 'What is Creativity?', in M. Boden (ed.), Dimensions of Creativity. A Bradford Book, The Massachusetts Institute of Technology Press, Cambridge, MA.
5. Borba, M. & Skovsmose, O.: 1997, 'The Ideology of Certainty in Mathematics Education', For the Learning of Mathematics 17(3).
6. Brown, T.: 1994, 'Towards a Hermeneutical Understanding of Mathematics and Mathematical Learning', in P. Ernest (ed.), Constructing Mathematical Knowledge: Epistemology and Mathematical Education, The Falmer Press, London.
7. Brown, T.: 1999, 'Mathematics, Language and Derrida', in L. Brown (ed.), Making Meaning in Mathematics, Annual Proceedings for the British Society for Research into Learning Mathematics, QED & BSRLM.
8. Chalmers, A.: 1978, What is This Thing Called Science, The Open University Press, Milton Keynes.
9. Chalmers, A.: 1982, What is This Thing Called Science (second edition), The Open University Press, Milton Keynes.
10. Davis, N. T., McCarty, B. J., Shaw, K. L. & Sidani-Tabbaa, A.: 1993, 'Transitions from Objectivism to Constructivism in Science Education', International Journal of Science Education 15(6), 627-636.
11. Davydov. V. V.: 1988, 'Problems of Developmental Teaching: The Experience of Theoretical and Experimental Psychological Research (Part 2)', Soviet Education 30(9).
12. Ernest, P.: 1991, The Philosophy of Mathematics Education, The Falmer Press, London.
13. Ernest, P.: 1998, Social Constructivism as a Philosophy of Mathematics, SUNY Press, Albany.
14. Franklin, J.: 1994, 'The Formal Sciences Discover the Philosophers Stone', Studies in the History and Philosophy of Science 24(4), 513-533.
15. Hallerberg, A. E.: 1977, 'Indiana's Squared Circle', Mathematics Magazine 50(3), 136-140.
16. Hannan, A.: 1988, 'Should Maths be Multicultural?', Mathematics in Schools (January) 28-30.
17. Heilbroner, R.: 1991, The Worldly Philosophers (first published in 1953), Penguin, London.
18. Hersh, R.: 1994, 'Fresh Breezes in the Philosophy of Mathematics', in P. Ernest (ed.), Mathematics, Education and Philosophy: An International Perspective, The Falmer Press, London.
19. Hersh, R.: 1998, What is Mathematics Really? Vintage, London.
20. Jaworski, B.: 1994, Investigating Mathematics Teaching, The Falmer Press, London.
21. Jennings, S. & Dunne, R.: 1996, 'A Critical Appraisal of the National Curriculum by Comparison with the French Experience', Teaching Mathematics and its Applications 15(2), 49-55.
22. Kaplan, S. & Ruback, R.: 1995, 'The Valuation of Cash Forecasts: An Empirical Analysis', The Journal of Finance 50(4).
23. Katz, V.: 1993, A History of Mathematics, Harper Collins, New York.
24. Kitcher, P.: 1983, The Nature of Mathematical Knowledge, Oxford University Press, New York.
25. Körner, S.: 1968, The Philosophy of Mathematics (first published 1960), Hutchinson University Library, London.
26. Lakatos, I.: 1978, Mathematics, Science and Epistemology (Philosophical Papers Volume 2), Cambridge University Press, Cambridge.
27. Masingila, J. O., Davidenko, S. & Prus-Wisniowska, E.: 1996, 'Mathematics Learning and Practice In and Out of School', Educational Studies in Mathematics 31, 175-200.
28. Matthews, M.: 1980, The Marxist Theory of Schooling: A Study of Epistemology and Education, Harvester Press, Sussex.
29. Matthews, M.: 1994, Science Teaching: The Role of History and Philosophy of Science, Routledge, New York.
30. Matthews, M.: 1997, 'Introductory Comments on Philosophy and Constructivism in Science Education', Science & Education 6(1-2), 5-14.
31. Matthews, M.: 1998, 'Introductory Comments on Philosophy and Constructivism in Science Education', in M. Matthews (ed.), Constructivism in Science Education: A Philosophical Examination, Kluwer Academic Publishers, Dordrecht.
32. Nola, R.: 1997, 'Constructivism in Science and Science Education: A Philosophical Critique', Science & Education 6(1-2), 55-83.
33. Nola, R.: 1998, 'Constructivism in Science and Science Education: A Philosophical Critique', in M. Matthews (ed.), Constructivism in Science Education: A Philosophical Examination, Kluwer Academic Publishers, Dordrecht.
34. Phillips, D. C.: 1997, 'Coming to Terms With Radical Social Constructivisms', Science & Education 6(1-2), 85-103.
35. Phillips, D. C.: 1998, 'Coming to Terms With Radical Social Constructivisms', in M. Matthews (ed.), Constructivism in Science Education: A Philosophical Examination, Kluwer Academic Publishers, Dordrecht.
36. Rowlands, S. & Graham, E.: 1997, 'The Nature of Mathematics and the State of Mathematics Education', in Chreods, Vol. 11, Spring, Manchester Metropolitan University and Nottingham University.
37. Seeger, F. & Steinbring, H.: 1994, 'The Myth of Mathematics' in P. Ernest (ed.), Constructing Mathematical Knowledge: Epistemology and Mathematical Education, The Falmer Press, London.
38. Sfard, A.: 1994, 'Mathematical Practices, Anomalies and Classroom Communication Problems' in P. Ernest (ed.), Constructing Mathematical Knowledge, The Falmer Press, London.
39. Siegal, M. & Borasi, R.: 1994, 'Demystifying Mathematics Education Through Inquiry', in P. Ernest (ed.), Constructing Mathematical Knowledge: Epistemology and Mathematical Education, The Falmer Press, London.
40. Singer, A. E.: 1994, 'DCF Without Forecasts', Omega: International Journal of Management Science 22(3), 221-235.
41. Skemp, R. R.: 1971, The Psychology of Learning Mathematics, Pelican, Harmondsworth.
42. Skemp, R. R.: 1976, 'Relational Understanding and Instrumental Understanding', Mathematics Teaching 77, 20-26.
43. Suchting, W. A.: 1986, Marx and Philosophy: Three Studies, Macmillan, London.
44. Tahta, D.: 1996, 'Mind, Matter and Mathematics', For the Learning of Mathematics 16(3).
45. Taylor, P. C.: 1996, 'Mythmaking and Mythbreaking in the Mathematics Classroom', Educational Studies in Mathematics 31, 151-173.
46. Threlfall, J.: 1996, 'Absolutism or not Absolutism - What Difference Does it Make?' Philosophy of Mathematics Education Newsletter 9, 11/14/96 (http://www.ex.ac.uk/-PErnest/pome/pompart6.htm).
47. Vile, A.: 1999, 'What can Semiotics do for Mathematics', in L. Brown (ed.), Making Meaning in Mathematics, Annual Proceedings for the British Society for Research into Learning Mathematics, QED & BSRLM.
48. Vygotsky, L.: 1962, Thought and Language, M.I.T. Press, Cambridge, MA.
49. Vygotsky, L.: 1994, 'The Problem of the Environment', in R. van der Veer & J. Valsiner (eds.), The Vygotsky Reader, Blackwell Publishers, Oxford.
50. Walkerdine, V.: 1994, 'Reasoning in a Post-Modern Age', in P. Ernest (ed.), Mathematics, Education and Philosophy: An International Perspective, The Falmer Press, London.
51. Wertsch, J.: 1996, 'The Role of Abstract Rationality in Vygotsky's Image of Mind", in A. Tryphon & J. Vonèche (eds.), Piaget-Vygotsky: The Social Genesis of Thought, Psychology Press, East Sussex.
52. Wolraf, N.: 1987, 'As American as Apple Pi', International Journal of Mathematics in Education, Science and Technology 18(1), 139-142.
53. Wood, J. E.: 1980, Sun, Moon and Standing Stones, Oxford University Press, Oxford.
54. Zeuli, J.: 1986, The Use of the Zone of Proximal Development in Everyday and School Contexts: A Vygotskian Critique, The Institute for Research on Teaching (Occasional paper no. 100), Michigan State University, MI.