Communication Dans Un Congrès Année : 2023

Identifying static- and emergent-shape thinking in students’ language about graphs of functions

Résumé

Perspectives on graphs of functions can involve static-shape thinking, which focuses on perceptual shapes, or emergent-shape thinking, which views a graph as a trace of covarying quantities. These, and more formal covariation perspectives, are used flexibly and together to solve graphical problems. Researchers have grappled with establishing empirical-theoretical relationships between the language students use and the meanings made available. Systemic Functional Linguistics (SFL) offers tools to analyse how linguistic choices contribute to the creation of mathematical texts and can thus be used to investigate how features of students’ language communicate forms of shape-thinking or covariation. In this paper we present an SFL analysis of students’ short written descriptions of a graph. We uncover similarities to the language used in their lessons and how shape thinking or covariation may be constructed by linguistic features of students’ discourse.

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hal-04406720 , version 1 (08-02-2024)

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  • HAL Id : hal-04406720 , version 1

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Elizabeth Kimber, Cathy Smith. Identifying static- and emergent-shape thinking in students’ language about graphs of functions. 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-04406720⟩

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