Learning about black-boxes: A mathematical-technological model

André Greubel (1) , Hans-Stefan Siller (1)

1 University of Würzburg

Technology fastly becomes more relevant, both in real life and within mathematical and technological education. In everyday life, this technology frequently comes in form of a black-box, a system whose inner-workings are (partly) unknown to the user. In this paper, we argue that we should emphasize teachings about black-boxes in technological and mathematical education. This is because a black-box conception of technology is neglected by current teachings, but crucial for everyday life. To bridge this gap, we present a model that can be used as a basis for such teachings. We argue why the containing conception and analysis techniques are useful for mathematical and technological education. More precisely, we argue that such a model can be used as meta-informational knowledge to reflect upon technology, especially in cases with incomplete information.

Mots clés: black-box conception; black-box analysis methods; mathematical-technological education; curriculum development; teaching models

Domaines: Mathématiques [math]

André Greubel, Hans-Stefan Siller. Learning about black-boxes: A mathematical-technological model. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ⟨hal-03748388⟩