THE ARGUMENT AND DEMONSTRATION EXEMPLIFIED IN A MATHEMATICAL DIALOGUE

Luisa Morales Maure (1*) - [ http://orcid.org/0000-0003-3905-9002 ]
Marcos Campos Nava (2) - [ http://orcid.org/0000-0002-7534-3193 ]
Orlando García Marimón (3) - [ http://orcid.org/0000-0002-0334-6133 ]
Jaime Gutiérrez (4) - [ http://orcid.org/0000-0002-5941-3892 ]


(1) Universidad de Panamá, SNI-I, Secretaría Nacional de Ciencia tecnología e Innovación SENACYT, Panama
(2) Autonomous University of the State of Hidalgo, Mexico
(3) Universidad de Panamá, Panama
(4) Universidad de Panamá, Panama
(*) Corresponding Author


Abstract


The teaching-learning process is analyzed in a course for a group of professors who were taught subjects on Calculus, to study the episodes of problem-solving in them, focused on the identification of patterns and argumentation using counterexamples. The explanation and the argument in the classroom can be used together so that the argument (issued as a counterexample) supports the explanation (conjecture). Developing the mathematics class so that the above occurs is a form of interaction and how to encourage students to move from explanation to argumentation (placing a hybrid system). Furthermore, both forms of reasoning can influence dialogue protocols and strategies. In this work, the dialogue model is described as a tool to address the problem that arises when working with students.

Keywords


Argument; Conjecture; Counterexample; Dialogue

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References


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DOI: https://doi.org/10.22460/infinity.v11i2.p211-222

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