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Connecting theory and practice: Results from the teaching of Logo

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Abstract

This paper is concerned with pupils' learning of the concept of variable in the Logo programming environment and how this relates to teaching. Results from three research projects are described and compared in a discussion of how improvements in learning have been influenced by a refinement in teaching method. This refinement has been influenced, in part, by the theories of Vygotsky. Within this paper, details of the changes in teaching approach are described together with a discussion of the effects of these changes. The main conclusion drawn is that in mathematics education we need to make more explicit the underlying theories influencing our work, because these theories influence both the ways in which we work in the classroom and the ways in which we analyse our data.

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References

  • Balacheff, N.: 1990, “Towards a problematique for research on mathematics education”,Journal for Research in Mathematics Education 21(4), 258–272.

    Google Scholar 

  • Booth, L.: 1984, “Misconceptions leading to error in elementary algebra”,Journal of Structural Learning 8(2), 125–138.

    Google Scholar 

  • Brousseau, G.: 1981, “The crucial role of the didactical contract in the analysis and construction of situations in teaching and learning mathematics in theory of mathematics education” (TME),ICME 5 — Topic Area and Miniconference: Adelaide, Occasional paper 54, 110–119, IDM, Bielefeld.

    Google Scholar 

  • Desforges, C. and Cockburn, A.: 1987,Understanding the Mathematics Teacher: A Study of Practice in First Schools, Falmer Press, London.

    Google Scholar 

  • Goetz, J. P. and LeCompte, M. D.: 1984,Ethnography and Qualitative Design in Educational Research, Academic Press, London.

    Google Scholar 

  • Healy, L., Hoyles, C., and Sutherland, R.: 1990,Peer Group Discussion in Mathematical Environments, Final Report to the Leverhulme Trust, Institute of Education, University of London.

  • Hoyles, C. and Noss, R.: 1987, “Synthesising mathematical conceptions and their formalisation through construction of a LOGO-based school maths curriculum”,International Journal of Mathematical Education in Science and Technology 18(4), 581–595.

    Google Scholar 

  • Hoyles, C. and Sutherland, R.: 1989,Logo Mathematics in the Classroom, Routledge, London.

    Google Scholar 

  • Küchemann, D.: 1981, “Cognitive demands of secondary school mathematics items”,Educational Studies in Mathematics 12, 301–316.

    Google Scholar 

  • Lacan, J.: 1978,Le Séminaire, livre 11: Le Moi dans la théorie de Freud et dans la technique psycho analytique, Paris.

  • Nunes, T., Light, P., and Mason, J.: 1991, “Children's understanding of measurement”,Proceedings of the 15th Conference of the International Group for the Psychology of Mathematics Education,3, 102–108.

    Google Scholar 

  • Rogoff, B.: 1991, “The joint socialization of development by young children”, in P. Light, S. Sheldon, and M. Woodhead (eds.),Learning to Think: Child Development in Social Context 2, Rout-ledge, London.

    Google Scholar 

  • Sutherland, R.: 1987, “What are the links between variable in Logo and variable in Algebra?”,Récherches en Didactique des Mathématiques 8(1.2), 103–130.

    Google Scholar 

  • Sutherland, R.: 1988,A Longitudinal Study of The Development of Pupils' Algebraic Thinking in a Logo Environment, PhD thesis, Institute of Education, University of London.

  • Sutherland, R.: 1989, “Providing a computer-based framework for algebraic thinking”,Educational Studies in Mathematics 20, 317–344.

    Google Scholar 

  • Sutherland, R.: 1990,Project AnA — The Gap between Arithmetical and Algebraic Thinking, Economic and Social Research Council, Project Proposal, Institute of Education, University of London.

  • Tall, D.: 1989, “Different cognitive obstacles in a technological paradigm”, in S. Wagner and C. Kieran (eds.),Research Issues in the Learning and Teaching of Algebra, Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • Tharp, R. and Gallimore, R.: 1991, “A theory of teaching as assisted performance”, in P. Light, S. Sheldon, and M. Woodhead, (eds.),Learning to Think: Child development in Social Context 2, Routledge, London.

    Google Scholar 

  • Vygotsky, L. S.: 1962,Thought and Language, MIT, Cambridge, MA, and John Wiley, New York.

    Google Scholar 

  • Vygotsky, L. S.: 1978,Mind in Society: The Development of Higher Psychological Processes, Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Wood, D., Bruner, J. and Ross, G.: 1979, “The role of tutoring in problem solving”,Journal of Child Psychology and Psychiatry 17, 89–90.

    Google Scholar 

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I am grateful to Celia Hoyles and Harvey Mellar for their comments on an earlier version of this paper. And I would like to thank the Economic and Social Science Research Council for their support for Project AnA (Grant Number R000232132).

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Sutherland, R. Connecting theory and practice: Results from the teaching of Logo. Educ Stud Math 24, 95–113 (1993). https://doi.org/10.1007/BF01273296

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