Agency and creativity in the semiotics of learning mathematics

Activity and sign: Grounding Mathematics Education

Volumn , Issue , 2005, Pages 23-34

  Ernest, Paul ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

agency; appropriation; conventionalization; creativity; mathematical activity; semiotic systems; Semiotics; sign transformations; teaching and learning of mathematics

Indexed keywords

EID: 84860860296     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/0-387-24270-8_3     Document Type: Chapter

References (24)

1. Bachelard, G. (1951). L'activité rationaliste de la physique contemporaine. Paris.
2. Bishop, E. (1967). Foundations of Constructive Analysis. New York: McGraw-Hill.
3. Bloom, B. S. et al. Eds (1956). Taxonomy of Educational Objectives 1, Cognitive Domain. New York: David McKay.
4. Chomsky, N. (1965). Aspects of the Theory of Syntax. Cambridge, Massachusetts: MIT Press.
5. Davis, C. (1974). Materialist philosophy of mathematics. In R. S. Cohen, J. Stachel & M. W. Wartofsky Eds., For Dirk Struik. Dordrecht: Reidel.
6. Dubinsky E (1988). On Helping Students Construct The Concept of Quantification. In A. Borbas (Ed.) Proceedings of PME 12. Veszprem, Hungary, Vol. 1, 255-262
7. Ernest, P. (1991). The Philosophy of Mathematics Education. London, Falmer Press.
8. Ernest, P. (1994). Conversation as a Metaphor for Mathematics and Learning, Proceedings of BSKLM Conference, MMU 22 November 1993. Nottingham: BSRLM, 58-63.
9. Ernest, P. (1998). Social Constructivism as a Philosophy of Mathematics. Albany, New York: SUNY Press.
10. Harré, R. (1983). Personal Being. Oxford: Blackwell.
11. Heyting, A. (1956). Intuitionism: An Introduction. Amsterdam: North-Holland.
12. Hughes, M. (1986). Children and Number. Oxford: Blackwell.
13. Machover, M. (1983). Towards a New Philosophy of Mathematics. British Journal for the Philosophy of Science 34, 1-11.
14. Mellin-Olsen, S. (1981). Instrumentalism as an Educational Concept Educational Studies in Mathematics 12, 351-367.
15. Peirce, C. S. (1931-58). Collected Papers (8 Vols). Cambridge, Massachusetts: Harvard University Press.
16. Rotman, B. (1993). Ad Infinitum. Stanford California: Stanford University Press.
17. Schoenfeld, A. (1992). Learning to Think Mathematically, in Grouws, D. A. Ed., Handbook of Research on Mathematics Teaching and Learning. New York: Macmillan, 334-370.
18. Sfard, A. (1993). Reification as the birth of metaphor, For the Learning of Mathematics 14.1, 44-55.
19. Sierpinska, A. (1987). Humanities students and epistemological obstacles related to limits. Educational Studies in Mathematics, 18, 371-397.
20. Skemp, R. R. (1976). 'Relational Understanding and Instrumental Understanding' Mathematics Teaching 77, 20-26.
21. Skemp, R. R. (1979). Goals of Learning and Qualities of Understanding, Mathematics Teaching. 88, 44-49.
22. Troelstra, A. and van Dalen, D. (1988). Constructivism in Mathematics: An Introduction, Vol. 1. Amsterdam: North Holland.
23. Vygotsky, L. (1978). Mind in Society, Cambridge. Massachusetts: Harvard University Press.
24. Wittgenstein, L. (1953). Philosophical Investigations,. Oxford: Basil Blackwell.