Encouraging the transfer of ‘school’ mathematics to the ‘real world’ through the integration of process and content, context and culture
 Jo Boaler
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Abstract
This paper reports upon a research project which considered the transfer of students' mathematical understanding across different task contexts. The research involved two groups of students from contrasting learning environments. The first environment was characterised by the complete integration of mathematical process and content using open ended activities. The second environment represented a ‘typical’ English classroom with a content based scheme being predominantly used. The research demonstrated that the procedure and performance of students in response to addition and fraction tasks varied considerably when the context of the tasks changed. This variation suggested that students' perceptions of the contexts were individually constructed and contexts did not have a uniform effect upon the difficulty of tasks. The research also suggested that students who had learned in an environment characterised by the integration of process and content were more able to transfer their learning across contexts. Students who had learned mathematical process independently of content were more likely to vary their procedure and performance in response to the contexts of the tasks. This was considered in relation to the problems of ‘school’ — ‘real world’ transfer and the effectiveness of different learning environments.
 Abraham, J. and Bibby, N.: 1988, ‘Mathematics and Society: Ethnomathematics and a Public Educator Curriculum’,For the Learning of Mathematics 8(2), 2–12.
 Adda, J.: 1989, ‘The Mathematics Classroom as a Micro Society’, in C. Keitel, P. Damerow, A. Bishop, and P. Gerdes (eds.),Mathematics Education and Society, United Nations Educational Scientific: Paris.
 ATM (Association of Teachers of Mathematics) Working Investigatively (no publication details).
 Bishop, A.: 1985, ‘The Social Construction of Meaning — A Significant Development for Mathematics Education’,For the Learning of Mathematics 5(1), 24–29.
 Broomes, D.: 1989, ‘The Mathematical Demands of a Rural Economy’, in C. Keitel, P. Damerow, A. Bishop, and P. Gerdes (eds.),Mathematics Education and Society, United Nations Educational Scientific: Paris.
 Burton, L.: 1980, ‘The Teaching of Mathematics to Young Children Using a Problem Solving Approach’,Educational Studies in Mathematics 11(1), 43–58.
 Centre for Innovation in Mathematics Teaching: 1989,Mathematics Focus School of Exeter, University of Exeter.
 Cobb, P.: 1986, ‘Contexts, Goals, Belief and Learning Mathematics’,For the Learning of Mathematics 6(2), 2–10.
 D'Ambrosio, U.: 1985, ‘Ethnomathematics and its place in the History and Pedagogy of Mathematics’,For the Learning of Mathematics 5(1), 44–48.
 Donaldson, M.: 1984,Children's Minds, Collins: Glasgow.
 Fasheh, M.: 1982, ‘Mathematics, Culture and Authority’,For the Learning of Mathematics 3(2), 2–9.
 Foxman, D., Ruddock, G., McCallum, I., and Schagen, I.: 1991, ‘APU Mathematics Monitoring (Phase 2)’, NFER: Berkshire.
 GAIM (Graded Assessment in Mathematics) Team: 1988,GAIM Development Pack, MacMillan: London.
 Greenfield, P. M.: 1984, ‘A Theory of the Teacher in the Learning Activities of Everyday Life’, in B. Rogoff and J. Lave (eds.),Everyday Cognition: It's Development in Social Context, Harvard University Press: Cambridge, pp. 117–138.
 Kerslake, D.: 1986,Fractions: Children's Strategies and Errors, NFERNELSON: Berkshire.
 Lave, J.: 1988,Cognition in Practice, Cambridge University Press: Cambridge.
 Maier, E.: 1991, ‘Folk Mathematics’, in M. Harris (ed.),School, Mathematics and Work, The Falmer Press: Basingstoke.
 Mason, J.: 1989, ‘Mathematical Abstraction as the Result of a Delicate Shift of Attention’,For the Learning of Mathematics 9(2), 2–9.
 Murphy, P.: 1990, Assessment and Gender Paper presented at BERA Annual Conference: Roehampton.
 Piaget, J.: 1958,The Child's Construction of Reality, Routledge and Kegan Paul: London.
 Rao, C. R.: 1952,Advanced Statistical Methods in Biometric Research, Wiley: London, p. 200.
 Schoenfeld, A. H.: 1987, ‘Confessions of an Accidental Theorist’,For the Learning of Mathematics 7(1), 30–39.
 Taylor, N.: 1989, ‘Let Them Eat Cake, Desire, Cognition and Culture’, in C. Keitel, P. Damerow, A. Bishop, and P. Gerdes (eds.),Mathematics Education and Society, United Nations Educational Scientific: Paris.
 Treffers, A.: 1987, ‘Three Dimensions, a Model of Goal and Theory Description’, inMathematics Instruction — The Wiskobas Project, Kluwer Academic Publishers: Dordrecht.
 Walkerdine, V.: 1985,The Mastery of Reason, Routledge: Kent.
 Walkerdine, V.: 1990, ‘Difference, Cognition and Mathematics Education’,For the Learning of Mathematics 10(3), 51–56.
 Title
 Encouraging the transfer of ‘school’ mathematics to the ‘real world’ through the integration of process and content, context and culture
 Journal

Educational Studies in Mathematics
Volume 25, Issue 4 , pp 341373
 Cover Date
 19931201
 DOI
 10.1007/BF01273906
 Print ISSN
 00131954
 Online ISSN
 15730816
 Publisher
 Kluwer Academic Publishers
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 Authors

 Jo Boaler ^{(1)}
 Author Affiliations

 1. Centre for Educational Studies King's College, University of London, Waterloo Rd, SE1 8TX, London, England