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Communication Dans Un Congrès Année : 2023

Can one integrate by adding up lines?

Tommy Dreyfus
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Dafna Elias
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Résumé

We present part of a project whose aim it is to investigate high school students’ meanings for fundamental concepts of calculus, including rate of change and accumulation. We focus on students’ reactions to a peer’s statement that an integral or accumulated quantity can be found by adding up vertical lines under the graph of the rate of change function being integrated. We present results of 24 interviews with advanced level high school students after they studied integration. Our findings show that most of the interviewees consider the peer’s thinking as correct in principle. On the other hand, more than half of the interviewees state that the peer’s way of thinking is not close to their own. A tentative conclusion is that most of these advanced-level high school students proficiently carry out computations of integrals but fail to relate to the essence of a definite integral as a sum of products.
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Dates et versions

hal-04406046 , version 1 (19-01-2024)

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  • HAL Id : hal-04406046 , version 1

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Tommy Dreyfus, Dafna Elias, Anatoli Kouropatov, Lia Noah Sella. Can one integrate by adding up lines?. 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-04406046⟩

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