Abstract
In this paper we survey the historical and contemporary connections in mathematics between classical “conceptual” tools versus modern computing tools. In this process we highlight the interplay between the inductive and deductive, experimental and theoretical, and propose the notion of Situated proofs as a didactic tool for the teaching of geometry in the 21st century.
Kurzreferat
Dieser Artikel konfrontiert vor einem historischem und aktuellen Hintergrund überblicksartig die Spannung zwischen «klassischen» und modernen Computerwerkzengen. In diesem Zusammenhang wird das Zusammenspiel zwischen Induktion und Dekuktion, zwischen Experimentellem und Theorie herausgearbeitet, und für ein Konzept des kontextuellen Beweisens als didaktisches Werkzeug der Gemmetrielehre im 21. Jahrhundert plädiert.
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Moreno-Armella, L., Sriraman, B. Structural stability and dynamic geometry: Some ideas on situated proofs. Zentralblatt füur Didaktik der Mathematik 37, 130–139 (2005). https://doi.org/10.1007/s11858-005-0002-8
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DOI: https://doi.org/10.1007/s11858-005-0002-8