Parabola or second-degree polynomial function exploration in initial teacher training: Integrating intuition and didactic situations
Renata Teófilo de Sousa 1 * , Francisco Régis Vieira Alves 2 , Helena Maria Barros de Campos 3 4
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1 Secretary of Education of Ceará, Sobral, BRAZIL2 Federal Institute of Science, Education and Technology of Ceará, Sobral, BRAZIL3 University of Trás-os-Montes and Alto Douro, Vila Real, PORTUGAL4 Research Centre on Didactics and Technology in the Education of Trainers-CIDTFF, University of Aveiro, PORTUGAL* Corresponding Author

Abstract

This work is the result of a master’s investigation in Brazil, which discusses the teaching of the parabola in the initial training of mathematics teachers. Our theoretical framework addresses the relationship between intuition and the dialectics of the theory of didactic situations, which supports the analysis of the results of this study Its objective was to identify and register categories of intuitive reasoning manifested by the subjects when solving a didactic situation involving the parabola with GeoGebra software contribution. The methodology adopted was didactic engineering, experimented with eight students in initial training at a Brazilian public university, among 6th and 9th undergraduate semesters. The posterior analysis and validation allowed us to verify the need to discuss the parabola, articulating its geometric, algebraic, and analytical views, as well as to reinforce the importance of its teaching with the use of technology.

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

PEDAGOGICAL RES, Volume 9, Issue 2, April 2024, Article No: em0198

https://doi.org/10.29333/pr/14340

Publication date: 01 Apr 2024

Online publication date: 08 Mar 2024

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Article Downloads: 501

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