Abstract
The takeup of opportunities for applying formal learning outside the school is often disappointing – to teachers, parents, employers, and many pupils. Not surprisingly, there is much controversy among researchers in mathematics education and related fields, as to the reasons. Here I argue that neither traditional nor constructivist views, with their simplistic faith in the basic continuity of knowledge across contexts, nor currently popular ‘insulationist’ views such as the strong form of situated cognition, which claims that transfer is basically not possible, are adequate. Instead, I analyse why transfer is problematical in principle, and undependable in practice. I recommend an alternative approach for building bridges between practices, based on analysing the discourses involved as systems of signs, and looking for appropriate points of inter-relation between them. In this reconceptualisation of the ‘problem’ of transfer, the role of affective factors, previously under-examined in the literature, is highlighted.
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References
Adda, J.: 1986, 'Fight against academic failure in mathematics', in P. Damerow et al. (eds.), Mathematics for All, UNESCO, Paris, pp. 58–61.
Anderson, J.R., Reder, L.M. and Simon, H.A.: 1996, 'Situated learning and education', Educational Researcher 25(4), 5–11.
Atweh, B., Bleicher, R.E. and Cooper T.J.: 1998, 'The construction of the social context of mathematics classrooms: a socioloinguistic analysis', Journal for Research in Mathematics Education 29(1), 63–82.
Bernstein, B.: 1996, Pedagogy, Symbolic Control and Identity: Theory, Research, Critique. Taylor and Francis, London.
Boaler, J.: 1998, 'Open and closed mathematics: students' experiences and understandings', Journal for Research in Mathematics Education 29(1), 41–62.
Brown, T.: 1994, 'A post-structuralist account of mathematical learning', in P. Ernest (ed.), Mathematics, Education and Philosophy: An International Perspective, Falmer Press, London, Ch. 11.
Buxton, L.: 1981, Do You Panic About Maths? Coping With Maths Anxiety, Heinemann Educational Books, London.
Chaiklin, S. and Lave, J. (eds.): 1993, Understanding Practice: Perspectives on activity and context, Cambridge University Press, Cambridge.
Cockcroft Committee: 1982, Mathematics Counts, HMSO, London.
Dowling, P.: 1991, 'The contextualizing of mathematics: towards a theoretical map', in M. Harris (ed.), Schools, Mathematics and Work, Falmer Press, London.
Dowling, P.: 1994, 'Discursive saturation and school mathematics texts: a strand from a language of description', in P. Ernest (ed.), Mathematics, Education and Philosophy: An International Perspective, Falmer Press, London.
Dowling, P.: 1995, 'Discipline and mathematise: the myth of relevance in education', Perspectives in Education 16(2), 209–226.
Evans, J.: 1999, 'Adult mathematics and everyday life: building bridges, facilitating transfer', in D. Coben, J. O'Donoghue and G. FitzSimons (eds.), Perspectives on Adults Learning Mathematics, Kluwer, Dordrecht (in press).
Evans, J.: in press, Mathematical Thinking and Emotions: A study of Adults' Practices, Falmer Press, London.
Evans, J. and Tsatsaroni, A.: 1994, 'Language and subjectivity in the mathematics classroom', in S. Lerman (ed.), The Culture of the Mathematics Classroom, Kluwer, Dordrecht.
Evans, J. and Tsatsaroni, A.: 1996, 'Linking the cognitive and the affective in educational research: Cognitivist, psychoanalytic and poststructuralist models', British Educational Research Journal: Special Issue on Poststructuralism and Postmodernism, 21(3), 347–358.
Glenn, J.: 1978, The Third R, Harper and Row, London.
Greeno, J., Smith, D.R. and Moore, J.L.: 1993, 'Transfer of situated learning', in D.K. Detterman and R.J. Sternberg (eds.), Transfer on Trial: Intelligence, Cognition and Instruction, Ablex, Norwood NJ, pp. 99–167.
Hollway, W.: 1989, Subjectivity and Method in Psychology: Gender, Meaning and Science, Sage, London.
Lave, J.: 1988, Cognition in Practice: Mind, Mathematics and Culture in Everyday Life, Cambridge University Press, Cambridge.
Lave, J. and Wenger, E.: 1991, Situated Learning: Legitimate Peripheral Participation, Cambridge University Press, Cambridge.
Lave, J.: 1996a, 'Teaching as learning, in practice', Mind, Culture, Activity 3(3), 149–164.
Lave, J.: 1996b, Seminar, Oxford University Dept. of Educational Studies, Oxford, 3 May.
Lawler, R.: 1981, 'The progressive construction of mind', Cognitive Science 5, 1–30.
Masingila, J.O., Davidenko, S. and Prus-Wisniowska, E.: 1996, 'Mathematics learning and practice in and out of school: a framework for connecting these experiences', Educational Studies in Mathematics 31, 175–200.
Molyneux, S. and Sutherland, R.: 1996, Mathematical Competencies of GNVQ Science Students: The Role of Computers, Graduate School of Education, University of Bristol.
Muller, J. and Taylor N.: 1995, 'Schooling and everyday life: knowledges sacred and profane', Social Epistemology 9(3), 257–275.
Newman, D., Griffin, P. and Cole, M.: 1989. The Construction Zone:Working for Cognitive Change in School, Cambridge University Press, Cambridge.
Noss, R. and Hoyles, C.: 1996a, 'The visibility of meanings: Modelling the mathematics of banking', International Journal for Computers in Maths Learning 1(1), 3–30.
Noss, R. and Hoyles, C.: 1996b, Windows on Mathematical Meanings: Learning Cultures and Computers, Kluwer, Dordrecht.
Nunes, T., Schliemann, A.D. and Carraher, D.W.: 1993, Street Mathematics and School Mathematics, Cambridge University Press, Cambridge.
Pea, R.: 1987, 'Socializing the knowledge transfer problem', International Journal of Educational Research 11(6), 639–663.
Pozzi, S., Noss, R. and Hoyles, C.: 1998, 'Tools in practice, mathematics in use', Educational Studies in Mathematics 36(2), 105–122.
Saxe, G.: 1991, 'Emergent goals in everyday practices: studies in children's mathematics', in F. Furinghetti (ed.), Proceedings of the Fifteenth International Conference, Psychology of Mathematics Education (PME-15), Vol. III, Assisi, Italy, pp. 230–237.
Schliemann, A.: 1995, 'Some concerns about bringing everyday mathematics to mathematics education', in L. Meira and D. Carraher (eds.), Proceedings of the 19th International Conference for the Psychology of Mathematics Education (PME-19), Vol. I, Recife, Brasil, pp. 45–60.
Schliemann, A. and Carraher, D.: 1992, 'Proportional reasoning in and out of school', in P. Light and G. Butterworth (eds.), Context and Cognition: Ways of Learning and Knowing, Harvester Wheatsheaf, Hemel Hempstead, U.K., Ch. 4.
Sewell, B.: 1981, Use of Mathematics by Adults in Everyday Life, Advisory Council for Adult and Continuing Education, Leicester.
Taylor, N.: 1989, 'Let them eat cake: Desire, cognition and culture in mathematics learning' in C. Keitel et al. (eds.), Mathematics, Education and Society, Reports and Papers presented in Fifth Day Special Programme at the International Conference on Mathematics Education (ICME-6), Budapest, Hungary, 27 July–3 Aug. 1988. Science and Technology Education Document Series No. 35, UNESCO, Paris, pp. 161–163.
Vergnaud, G.: 1988, 'Multiplicative structures', in M. Hiebert and J. Behr (eds.), Number concepts and Operations in the Middle Grades, National Council of Teachers of Mathematics.
Walkerdine, V.: 1982, 'From context to text: A psychosemiotic approach to abstract thought', in M. Beveridge (ed.), Children Thinking through Language, Edward Arnold, London, pp. 129–155.
Walkerdine, V.: 1988, The Mastery of Reason: Cognitive Development and the Production of Rationality, Routledge and Kegan Paul, London.
Walkerdine, V.: 1997, 'Redefining the subject in situated cognition theory', in D. Kirshner and J.A. Whitson (eds.), Situated Cognition: Social, Semiotic, and Psychological Perspectives, Lawrence Erlbaum Associates, Mahwah NJ, Ch.4.
Walkerdine, V. and Girls and Mathematics Unit: 1989, Counting Girls Out, Virago, London.
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Evans, J. Building Bridges: Reflections on the problem of transfer of learning in mathematics. Educational Studies in Mathematics 39, 23–44 (1999). https://doi.org/10.1023/A:1003755611058
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DOI: https://doi.org/10.1023/A:1003755611058