The work done when solving linear equations: Altering experiences due to change of numbers - Archive ouverte HAL
Communication Dans Un Congrès Année : 2023

The work done when solving linear equations: Altering experiences due to change of numbers

Résumé

This paper investigates how one student solves linear equations with a focus on how different numbers (e.g., natural numbers, numbers with decimals, and negatives) in the equations influence reasoning. The choice of coefficients in equations is not usually the focus in research nor in teaching. However, as students are used to taking numbers into consideration, the influence of coefficients on equation solving is an important topic to address. In a previous study, a model for how students experience equations was suggested. Here, the model is used to analyse one interview with a student in upper-secondary school, solving several similar equations but with numbers from varying number domains. The results show the decisive role that numbers play in how this student perceives the equations. Using a wide range of numbers also helped to challenge the student to explore the properties of the equations’ structure. Possible applications in the classroom are discussed.
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Dates et versions

hal-04417698 , version 1 (25-01-2024)

Identifiants

  • HAL Id : hal-04417698 , version 1

Citer

Anna Holmlund. The work done when solving linear equations: Altering experiences due to change of numbers. 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-04417698⟩

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