Calculational and analytical perspectives in introductory algebra: a theoretical contribution - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2022

Calculational and analytical perspectives in introductory algebra: a theoretical contribution

Résumé

In this theoretical paper we discuss what a calculational perspective on mathematical activity entails and discuss its relevance in terms of related speech genres in the introductory algebra classroom. Learning in the introductory algebra classroom is multifaceted because major shifts in form (the algebraic syntax versus arithmetic syntax) and function (analytic rather than calculational) are expected to take place. This theoretical argument is exemplified through student utterances from a Californian 6th grade classroom discussion, in which students' calculational perspective on mathematical activity is apparent. The data reveal traits and intentions from both traditional and alternative instructional genres. Our main argument is that the students' approaches to generalize provided patterns were limited to their perceptual field and thus fail to include a deductive argument, the key feature of algebraic reasoning.
Fichier principal
Vignette du fichier
TWG03_16_Reinhardtsen.pdf (231.1 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03745191 , version 1 (03-08-2022)

Identifiants

  • HAL Id : hal-03745191 , version 1

Citer

Jorunn Reinhardtsen, Martin Carlsen. Calculational and analytical perspectives in introductory algebra: a theoretical contribution. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ⟨hal-03745191⟩

Collections

CERME12
45 Consultations
22 Téléchargements

Partager

Gmail Facebook X LinkedIn More