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Communication Dans Un Congrès Année : 2023

Conceptions of spanning sets and linear independence emerging from examples and student responses to reading questions in an interactive linear algebra textbook

Résumé

Using Balacheff's (2013) model of conceptions we analyzed textbook examples in two sections that modeled the mathematical work needed to answer two reading questions and used the intended conceptions to identify control structures in student responses to those questions. Reading questions are an interactive textbook feature meant to entice students to read the textbook before attending the lesson when such ideas will be discussed; as students provide responses in their interactive textbook, the instructors can learn about how students are thinking about the content before a lesson. We found additional control structures, which suggest additional conceptions beyond the ones promoted in the textbook. We discuss implications for designing these types of questions in interactive textbooks.
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hal-04417611 , version 1 (25-01-2024)

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  • HAL Id : hal-04417611 , version 1

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Vilma Mesa, Eric Khiu, Saba Gerami, Tom Judson. Conceptions of spanning sets and linear independence emerging from examples and student responses to reading questions in an interactive linear algebra textbook. 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-04417611⟩

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