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Instrumentation in Mathematics Education

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Notes

  1. 1.

    An instrument is here defined as a mixed entity composed of a part of the artifact and a scheme, a scheme being, according to Vergnaud (1996), the invariant organization of activity to perform a type of task, including rules of action and specific knowledge, produce and spring of the activity.

References

  • Artigue M (2002) Learning mathematics in a CAS environment: the genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. Int J Comput Math Learn 7(3):245–274

    Article  Google Scholar 

  • Bacon F (1620/1858) Novum Organum. In: Spedding J, Ellis RL, Heath DD (eds) The collected works of Francis Bacon. Longmans, London

    Google Scholar 

  • Balacheff N (1994) Didactique et intelligence artificielle. Recherches en Didactique des Mathématiques 14(1/2):9–42

    Google Scholar 

  • Drijvers P, Doorman M, Boon P, Reed H, Gravemeijer K (2010) The teacher and the tool: instrumental orchestrations in the technology-rich mathematics classroom. Educ Stud Math 75(2):213–234

    Article  Google Scholar 

  • Engeström Y, Miettinen R, Punamäki RL (1999) Perspectives on activity theory. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Gibson JJ (1979) The ecological approach to visual perception. Houghton Mifflin Harcourt (HMH), Boston

    Google Scholar 

  • Gueudet G, Trouche L (2009) Towards new documentation systems for mathematics teachers? Educ Stud Math 71(3):199–218

    Article  Google Scholar 

  • Guin D, Trouche L (1999) The complex process of converting tools into mathematical instruments. The case of calculators. Int J Comput Math Learn 3(3):195–227

    Article  Google Scholar 

  • Guin D, Ruthven, Trouche L (eds) (2005) The didactical challenge of symbolic calculators: turning a computational device into a mathematical instrument. Springer, New York

    Google Scholar 

  • Lagrange J-B, Artigue M, Laborde C, Trouche L (2003) Technology and mathematics education: a multidimensional study of the evolution of research and innovation. In: Bishop AJ, Clements MA, Keitel C, Kilpatrick J, Leung FKS (eds) Second international handbook of mathematics education. Kluwer, Dordrecht, pp 239–271

    Google Scholar 

  • Maschietto M, Trouche L (2010) Mathematics learning and tools from theoretical, historical and practical points of view: the productive notion of mathematics laboratories. ZDM Int J Math Educ 42(1):33–47

    Article  Google Scholar 

  • Monaghan J, Trouche L, Borwein J (2016) Tools and mathematics: instruments for learning. Springer, New York

    Book  Google Scholar 

  • Noss R, Hoyles C (eds) (1996) Windows on mathematical meanings – learning cultures and computers. Kluwer, Dordrecht

    Google Scholar 

  • Proust C (2012) Masters’ writings and students’s writings: school material in Mesopotamia. In: Gueudet G, Pepin B, Trouche L (eds) From text to ‘lived’ resources. Mathematics curriculum materials and teacher development. Springer, New York, pp 161–179

    Google Scholar 

  • Salaün J-M (2012) Vu, lu, su, les architectes de l’information face à l’oligopole du web. La découverte, Paris

    Google Scholar 

  • Trouche L (2004) Managing the complexity of human/machine interactions in computerized learning environments: guiding students’ command process through instrumental orchestrations. Int J Comput Math Learn 9:281–307

    Article  Google Scholar 

  • Trouche L (2005) An instrumental approach to mathematics learning in symbolic calculators environments. In: Guin D, Ruthven K, Trouche L (eds) The didactical challenge of symbolic calculators: turning a computational device into a mathematical instrument. Springer, New York, pp 137–162

    Chapter  Google Scholar 

  • Trouche L, Drijvers P (2010) Handheld technology for mathematics education, flashback to the future. ZDM Int J Math Educ 42(7):667–681

    Article  Google Scholar 

  • Vergnaud G (1996) The theory of conceptual fields. In: Steffe LP, Nesher P, Cobb P, Goldin GA, Greer B (eds) Theories of mathematical learning. Lawrence Erlbaum Ass, Mahwah, pp 219–239

    Google Scholar 

  • Verillon P, Rabardel P (1995) Cognition and artifact: a contribution to the study of thought in relation to instrument activity. Eur J Psychol Educ 9(3):77–101

    Article  Google Scholar 

  • Vygotsky LS (1981) The instrumental method in psychology. In: Wertsch JW (ed) The concept of activity in Soviet psychology. M.E. Sharpe, Armonk

    Google Scholar 

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Acknowledgments

Thanks to Ghislaine Gueudet and Birgit Pepin for their reading of the first version of this article.

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Correspondence to Luc Trouche .

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Trouche, L. (2020). Instrumentation in Mathematics Education. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_80

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