Constructing mathematical proofs through abductive reasoning

SOFFIL WIDADAH, TATAG YULI EKO SISWONO, ROOSELYNA EKAWATI (Indonesia)

Abstract

This study aims to investigate the utilization of abductive reasoning in the construction of mathematical proofs among students. The research adopts a qualitative methodology, involving eight prospective teacher candidates with advanced mathematical proficiency. Data were analyzed by Toulmin's Argumentation Theory. The findings revealed that two participants employed abductive reasoning. These participants applied overcode abduction yet adhered to all the stages of abductive reasoning. Abductive reasoning can significantly contribute to the construction of mathematical proofs and facilitate the development of students' mathematical competencies. The implications of this study include the potential for developing instruments to measure abductive reasoning skills.

Keywords

Constructing proof, mathematical proficiency, abductive reasoning algebraic proofs

DOI: https://doi.org/10.26220/rev.5025

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Re S M ICT E | ISSN: 1792-3999 (electronic), 1791-261X (print) | Laboratory of Didactics of Sciences, Mathematics and ICT, Department of Educational Sciences and Early Childhood Education - University of Patras.

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