Adam Vile

Mathematics Education and Mathematics

Becker, J. & Varelas, M., :1989, Semiotic Aspects of Cognitive Development: Illustrations From Early Mathematical Cognition. Psychological review, 100,3, 420-431.
Brown, T. Creating and knowing mathematics through language and experience. Educational Studies in Mathematics. ISSN 0013-1954 1994, 27(1), 79-100.
Brown, T. Mathematics Education and Language: interpreting hermeneutics and post-structuralism , Dordrecht, The Netherlands: Kluwer Academic Publishers, ISBN 0-7923-4554-1.POME10
Brown, T. The phenomenology of the mathematics classroom Educational Studies in Mathematics. ISSN 0013-1954. 1996, 31, 115-150.
Eccles, J. and Jacobs, J., :1986, Social forces Shape Maths Attitudes and Performance. Signs: Journal of Women in Culture and Society. 11, 2. 367-380.
Ernest, P. (1990) Review of Brian Rotman, Ad Infinitum: the ghost in Turing's Machine. Stanford University Press, 1993, in Philosophy of Mathematics Education Newsletter, Number 7, February 1994.
Ernest, P. (1990) Review of Brian Rotman, Toward a Semiotics of Mathematics, Semiotica, Volume 72, Nos. 1/2, pages 1-35, in Philosophy of Mathematics Education Newsletter, Number 1, July 1990.
Ernest, P., : 1996. The Mythic Quest of the Hero and Creation Myths: Steps towards a Semiotic Analysis of Mathematical Proof. Paper presented at the Research Group for Social Perspectives in Mathematics Education. June 1996. London.
Ernest, P. (1997) Social Constructivism as a Philosophy of Mathematics, Albany, New York: SUNY Press. In Science Technology and Society Series, Ed. Prof. S. Restivo, and Reform in Mathematics Series, Ed. Prof. J. Sowder.
Glasersfeld, E. von : 1995, Radical Constructivism: A Way of Knowing and Learning, Falmer, London.
Halliday, M. A. K., :1978, Sociolinguistic Aspects of Mathematical Education: Language as Social Semiotic. In Halliday, M. A. K. The social interpretation of language and Meaning.. 194-204. Arnold.
Klemme, S. L., :1981, References of Speech acts as Characteristics of Mathematical Classroom Conversation. Educational Studies in Mathematics, 12, 43-58.
MacNamara, O., :1996, Mathematics and the Sign. Proceedings of PME 20, Valencia. 3, 369-378.
Pimm, D., :1995, Symbols and Meanings in School Mathematics. London, UK: Routledge.
Presmeg, Norma C (1997). "A semiotic framework for linking cultural practice and classroom mathematics." Paper presented at the 19th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, Bloomington/Normal, Illinois, 18-21 October, 1997. (To appear in the Conference Proceedings.)
Presmeg, Norma. C. (1997) Chapter 9: "Reasoning with metaphors and metonymies in mathematics learning." (A semiotic analysis.). In L. D. English (Ed.) Mathematical reasoning: Analogies, metaphors and images. Hillsdale, New Jersey: Hillsdale, New Jersey: Lawrence Erlbaum Associates, July, 1997.
Puig, L., :1996, Pupils Prompted Production of a Medieval Sign System. Proceedings of PME 20, Valencia. 1, 77-87.
Radford, L. and Grenier, M., :1996, On Dialectical Relationships between Signs and Algebraic Ideas. Proceedings of PME 20, Valencia. 4, 179-186.
Redden, E., :1996, Wouldn't it be good if we had a symbol to stand for a number? Proceedings of PME 20, Valencia. 4, 195-202.
Rotman, B. (1993) Ad Infinitum The Ghost in Turing's Machine: Taking God Out of Mathematics and Putting the Body Back in. Stanford California: Stanford University Press.
Rotman, B. (1993) Ad Infinitum...The Ghost in Turing's Machine: Taking God Out of Mathematics and Putting the Body Back in: An Essay in Corporeal Semiotics, Stanford University Press (Stanford, California), 1993, xi+203 pages (ISBN paper 0-8047-2127-0)
Rotman, B. : 1988, Towards a semiotics of Mathematics. Semiotica 72-1/2, 1-35.
Stage, F. K., 1991, Semiotics in the College Mathematics Classroom. Paper presented at the annual meeting of the American Educational Research Association, Chicago.
Vile A. (1996) Is This a Sign of The Times? A Semiotic Approach to Meaning-Making in Mathematics Education. Proceedings of BSRLM, Sheffield, Feb. pp. 35-41.
Vile, A & Lerman, S., :1996, Semiotics as a descriptive framework in mathematical domains. Proceedings of PME 20. Valencia (Spain) Vol. 4. p.359-402.
Vile, A. (1997). A Semiotic Perspective on the Development of Fluency. In Quesada, J. F (Ed.) Logic, Semiotic, Social and Computational Perspectives on Mathematical Languages. Chapter-10: 166-176.
Vile, A. (1997). From Peirce towards a Semiotic of Mathematical Meaning. In Quesada, J. F (Ed.) Logic, Semiotic, Social and Computational Perspectives on Mathematical Languages. Chapter-5: 64-76.
Vile, A. (In Press) What Can Semiotics Do for Mathematics Education? To appear in forthcoming BSRLM Publication.


Links to sites of interest in semiotics can be found at:


Chandler, D., : 1996, Semiotics for Beginners., :
Deely, J., :1990, The Basics of Semiotics. Bloomington: Indiana University Press.
Deely, J., :1993, Reading the Signs: Some basics of Semiotics. Semiotica. 97, 3, 247-266.
Eco, U., :1979, A Theory of Semiotics. Indiana University Press.
Hoopes, J., :1991, Peirce on Signs, Writings on Semiotics by C. S. Peirce. University of North Carolina Press.
Maffiolo, D., :1993, From a Social to a Cultural Approach in the Study of Cognitive Activities: The Fundamental Role of Semiotic Systems. European Journal of Psychology of Education. 8,4, 487-500.
Siegel, M. & Carey, R., :1989, Critical Thinking: A Semiotic Perspective. Monographs on Teaching Critical Thinking, Vol. 1. National Council of Teachers of English. Bloomington.

Educational research

Manning, P., :1987, Semiotics and Fieldwork. Sage
Shank, G., :1987, Abductive Strategies in Educational Research. The American Journal of Semiotics (Special issue on Semiotics and Education, 5, 175-190.
Shank, G., :1995, Semiotics and Qualitative Research in Education: The Third Crossroad. The Qualitative Report . 2, 3:

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Last Modified:17th February 1998