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Communication Dans Un Congrès Année : 2022

Explorative potential of linear algebra tasks

Résumé

Learner centered instruction, although becoming more prevalent, has been less explored in university settings. In this study, we examine tasks that were aimed at supporting student-centered learning in a linear algebra course. First, we constructed "realization trees", based on the commognitive theory, to examine the opportunities for exploring mathematical objects afforded by these tasks. This analysis revealed that all the tasks held the potential for transitioning between multiple discourses. Next, we used commognitive analysis of possible solution paths to examine the transitions between discourses within a solution. This analysis revealed that the task encouraged such transitions by including impasses, where the students had no available routines to continue within the discourse. The contribution of this study comes from presenting a commognitive tool for examining the potential of tasks for affording explorative engagement.
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Dates et versions

hal-03754751 , version 1 (19-08-2022)

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  • HAL Id : hal-03754751 , version 1

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Miriam N. Wallach, Einat Heyd-Metzuyanim, Ram Band. Explorative potential of linear algebra tasks. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ⟨hal-03754751⟩

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