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Communication Dans Un Congrès Année : 2023

Opportunities for proving the rule for fraction multiplication – episodes from a task-based interview

Résumé

The data presented here is part of a study in which we conducted six task-based interviews with students in grade 8. We explore opportunities for a grade 8 student to develop a proof of the rule for multiplying two proper fractions in a task-based interview involving paper folding while being provided with ample guidance. Our analysis focused on to what extent the arguments produced by the student can be classified as proofs, and in what way guidance by the interviewer can lead to the development of a proof. Based on our findings we suggest that it is important to focus on verbal explanations and to discuss generic examples in the development of a proof. We also propose that insight gained from this task-based interview can inform future interventions, including whole-class interventions with proof-based teaching.
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Dates et versions

hal-04410923 , version 1 (22-01-2024)

Identifiants

  • HAL Id : hal-04410923 , version 1

Citer

Andrea Hofmann, Trond Stølen Gustavsen. Opportunities for proving the rule for fraction multiplication – episodes from a task-based interview. 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-04410923⟩

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