Towards implementing Black Boxes in Mathematical Modeling an epistemological Approach Adapting models from science and science education - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2022

Towards implementing Black Boxes in Mathematical Modeling an epistemological Approach Adapting models from science and science education

Janina Just
  • Fonction : Auteur
  • PersonId : 1153976
Hans-Stefan Siller

Résumé

This article explores the concept of black boxes within mathematical modeling. First, we perform a literature-based clarification of the term black box, the use of a black box, and explore the use of this construct in science, and workplace. A black box is characterized by the following issues: (a) being believed to be distinct, (b) having observable (and relatable) inputs and outputs, (c) being black (that is, opaque to the observer). Afterwards, we demonstrate the uses of black boxes within mathematical modeling. We generalize these uses to a model of how black boxes can be implemented in mathematics education. Based on this model, we derive educationally relevant activities for using and opening such a black box. The application of these activities is illustrated in more details using an example of physical chemistry: the Arrhenius Equation.
Fichier principal
Vignette du fichier
TWG26_09_Just.pdf (586.07 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03745378 , version 1 (04-08-2022)

Identifiants

  • HAL Id : hal-03745378 , version 1

Citer

Janina Just, Hans-Stefan Siller. Towards implementing Black Boxes in Mathematical Modeling an epistemological Approach Adapting models from science and science education. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ⟨hal-03745378⟩

Collections

CERME12
44 Consultations
37 Téléchargements

Partager

Gmail Facebook X LinkedIn More