43 research outputs found

    Semiotic and theoretic control within and across conceptual frames

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    Long-term development of how students interpret a model; Complementarity of contexts and mathematics

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    When students engage in rich mathematical modelling tasks, they have to handle real-world contexts and mathematics in chorus. This is not easy. In this chapter, contexts and mathematics are perceived as complementary, which means they can be integrated. Based on four types of approaches to modelling tasks (ambivalent, reality bound, mathematics bound, or integrating), we used task-based interviews to study the development of students’ approaches while the students moved from grade 11 to 12. Our participants were ten Dutch students. We found that their approaches initially were either ambivalent, reality bound or mathematics bound. In subsequent interviews the preference was maintained, and in the end the approaches of four students were integrating. Both a reality bound and a mathematics bound preference could lead to a more advanced integrating approach

    Introduction to the papers of TWG17: Theoretical perspectives and approaches in mathematics education research

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    Tenth Congress of the European Society for Research in Mathematics Education (CERME10) Conference Paper Dec 2017Tenth Congress of the European Society for Research in Mathematics Education (CERME10) Angelika Bikner-Ahsbahs Arthur Bakker Mariam Haspekian Mirko Marrac

    Introduction to the papers of TWG17: Theoretical perspectives and approaches in mathematics education research

    No full text
    Tenth Congress of the European Society for Research in Mathematics Education (CERME10) Conference Paper Dec 2017Tenth Congress of the European Society for Research in Mathematics Education (CERME10) Angelika Bikner-Ahsbahs Arthur Bakker Mariam Haspekian Mirko Marrac

    How Ideal Type Construction Can Be Achieved: An Example

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    Introduction to the papers of TWG17 : Theoretical perspectives and approaches in mathematics education research

    No full text
    Tenth Congress of the European Society for Research in Mathematics Education (CERME10) Conference Paper Dec 2017Tenth Congress of the European Society for Research in Mathematics Education (CERME10) Angelika Bikner-Ahsbahs Arthur Bakker Mariam Haspekian Mirko Marrac
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