Communication Dans Un Congrès Année : 2025

A framework for refutations to recipes and algorithms

Michael Fischer
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Résumé

In many areas of mathematics, a systematic approach following a recipe or algorithm can be applied. Ideally, the individual steps, in the sense of a deductive structure of mathematics, should not only be mastered but also their validity should be justified through reasoning. In this way, conceptual knowledge can also be activated for procedural tasks. For this I adapt a framework developed for proofs and refutations to outline a task-based Lakatos-style intervention aimed at promoting conceptual argumentation. I accompany it with first results from an interview study.

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hal-05081328 , version 1 (23-05-2025)

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  • HAL Id : hal-05081328 , version 1

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Michael Fischer. A framework for refutations to recipes and algorithms. CERME14, University of Bozen, Feb 2025, Bozen, Italy. ⟨hal-05081328⟩

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