Abstract

ALVAREZ ESTEVEN, Juan; ALONSO BERENGUER, Isabel  and  GORINA SANCHEZ, Alexander. Teaching-learning of inductive-deductive reasoning in mathematical problem solving of demostration. Conrado [online]. 2019, vol.15, n.68, pp. 249-258.  Epub Sep 02, 2019. ISSN 1990-8644.

The present work is part of a doctoral research and it has as its objective the presentation of a model of the dynamics of the teaching-learning process of inductive-deductive reasoning in mathematical problem solving of demonstration. The modeling was carried out using the systemic approach based on its holistic-configurational variant. The model obtained was structured in three dimensions: exploratory-inductive for the mathematical conjecture, validator-inductive and demonstrative-deductive mathematical conjectures, which are expressions of the internal movements of the aforementioned dynamics and must intentionally guided towards the formation of a solving competence in mathematical demonstration problems. This model serves as the basis for the elaboration of didactic instruments that allow the practical training of the aforementioned competence in university careers in the exact sciences that demand advanced levels of reasoning and a rigorous mathematical demonstration for the solution of variety of professional problems.

Keywords : Mathematical problems solving; demonstration; inductive reasoning; deductive reasoning; conjecture; validation; generalization.

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