From Concept to Teaching Resource

Abstract:

Through a historical overview, we show how a scientific in- novation can become a part of knowledge which is mature enough to be taught: set theory. This example shows through explicit representations across history how much richer knowledge is needed in order to be taught and, thus, to be made into a tutoring system than its scientific basis. The historical process explains us how an idea needs to be adjusted, to be turned into practical exercises, notations, teaching units, and practical recommendations to include it into the curriculum standards. The vary- ing representations are sketched, be them notational, graphical, haptic, textual, or even part of artists productions.
The paper sketches paths of how the cultures developed around a math- ematical concept needed to evolve in order to become teachable.

Published:

[PDF]CATS2024_LibbrechtDavenport_Concept_to_Teaching.pdf
[proceedings]program