Graphing formulas to give meaning to algebraic formulas - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2019

Graphing formulas to give meaning to algebraic formulas

Fred Janssen
  • Fonction : Auteur
  • PersonId : 924598
Paul Drijvers
  • Fonction : Auteur
  • PersonId : 912323
Jan van Driel
  • Fonction : Auteur
  • PersonId : 876327

Résumé

Many students have difficulties giving meaning to algebra. In this study, we investigated how graphing formulas by hand can help grade 11 students to give meaning to algebraic formulas, defined as the ability to “read through” an algebraic formula: i.e., to recognize its structure and to link it to graphical features. During five 90-minute lessons, 21 students worked on graphing tasks focusing on recognition and heuristic search. To assess the effects of this intervention, a graphing task, and a card-sorting task were administered to the students. In addition, six students were asked to think aloud during the graphing task. The results of the card-sorting task showed that 14 students used categories similar to the ones experts use, but had trouble in consistently categorizing all formulas. The thinking-aloud protocols showed that the students improved their recognition of basic functions and graph features, and their qualitative reasoning, which allowed them to give meaning to algebraic formulas.
Fichier principal
Vignette du fichier
TWG03_09.pdfx.pdf (479.68 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02416367 , version 1 (17-12-2019)

Identifiants

  • HAL Id : hal-02416367 , version 1

Citer

Peter Kop, Fred Janssen, Paul Drijvers, Jan van Driel. Graphing formulas to give meaning to algebraic formulas. Eleventh Congress of the European Society for Research in Mathematics Education, Utrecht University, Feb 2019, Utrecht, Netherlands. ⟨hal-02416367⟩

Collections

TICE CERME11
96 Consultations
69 Téléchargements

Partager

Gmail Facebook X LinkedIn More