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Communication Dans Un Congrès Année : 2023

Prospective teachers’ mathematical knowledge: Relating representations as design principle for developing knowledge of nonlocal mathematics for teaching in abstract algebra

Anna Dellori
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  • PersonId : 1343032
Lena Wessel
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  • PersonId : 1153585

Résumé

It is well known that pre-service teachers might experience a double discontinuity between school and university. They often see little or no connections of university mathematics to their future profession. We offer a theoretical contribution on how this second discontinuity can be addressed in teaching abstract algebra by considering design principles for developing non-local knowledge for teaching. Based on previous research, a logical structure for the principle of “Sequencing the learning arrangements by building-up, (re-)learning, stepping-down”, and the principle of “Relating local and non-local representations” by contrasting and comparing are elaborated. Exemplary realizations for the contents of solving equations and arithmetic properties are presented.
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Dates et versions

hal-04421602 , version 1 (27-01-2024)

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  • HAL Id : hal-04421602 , version 1

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Anna Dellori, Lena Wessel. Prospective teachers’ mathematical knowledge: Relating representations as design principle for developing knowledge of nonlocal mathematics for teaching in abstract algebra. Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), Alfréd Rényi Institute of Mathematics; Eötvös Loránd University of Budapest, Jul 2023, Budapest, Hungary. ⟨hal-04421602⟩

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