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Article Dans Une Revue International Journal of Mathematical Education in Science and Technology Année : 2019

University students turning computer programming into an instrument for ‘authentic’ mathematical work

Chantal Buteau
  • Fonction : Auteur
Eric Muller
  • Fonction : Auteur
Joyce Mgombelo
  • Fonction : Auteur
Ana Isabel Sacristan
  • Fonction : Auteur

Résumé

The instrumental approach is a useful theoretical lens for understanding students' learning processes with a main focus on the transformation of an artefact (a human design for a goal-directed activity) into a meaningful instrument (i.e. an artefact and schemes developed by the student). In this paper, we articulate the instrumental approach for computer programming technology use in the context of pure or applied mathematical investigation. We illustrate it by examining the engagement (scheme development) of an undergraduate student engaged in ‘authentic’ programming-based mathematical inquiry work, i.e. complete inquiry work as mathematicians would do. Two schemes are elaborated, namely the scheme of validating the programmed mathematics and the scheme of articulating in the programming language a mathematical process. Our discussion evidences some specific features of the programming language as artefact associated with a general aim of mathematical inquiry, in particular in terms of articulation between mathematics and programming.
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Dates et versions

hal-02528599 , version 1 (01-04-2020)

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Chantal Buteau, Ghislaine Gueudet, Eric Muller, Joyce Mgombelo, Ana Isabel Sacristan. University students turning computer programming into an instrument for ‘authentic’ mathematical work. International Journal of Mathematical Education in Science and Technology, 2019, 51 (7), pp.1020-1041. ⟨10.1080/0020739X.2019.1648892⟩. ⟨hal-02528599⟩
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