A Proposal for Reconstruction of the Holistic Meaning of the Antiderivative

Abstract

The present study reports the results obtained by analysing different problem-situations addressed throughout history and which allowed both the emergence and evolution of the anti-derivative notion. Such problem-situations and their solutions were identified by a historical documentary study and analysed by using some of the methodological-theoretical tools, which provided the theoretical framework known as Onto-Semiotic Approach (OSA) of mathematical knowledge and instruction. As a result, it was found that, throughout history, the anti-derivative notion adopted four partial meanings that together comprised a proposal for reconstruction of the holistic meaning for this notion.

Keywords:
Anti-derivative; Historical-epistemological study; Onto-semiotic approach; Holistic meaning; Epistemic configuration