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ESTUDO DAS FUNÇÕES SENO E COSSENO POR MEIO DEUM MODELO DIDÁTICO ALTERNATIVO INTEGRADO AO GEOGEBRA

Abstract : The aim in this research is to analyze how an alternative didactic model using GeoGebra favors the study of sine and cosine functions. To achieve this goal, one will: analyze epistemological aspects about sine and cosine functions; one will analyze based on a Praxological Reference Model-PRM, showing as the dominant model presents the teaching of sine and cosine functions; integrate GeoGebra for teaching sine and cosine functions; mathematically model periodic physical phenomena for the study of sine and cosine functions. We will also analyze the effects of a new didactic configuration from technological environments for teaching-learning process of sine and cosine functions. The present research is part of the current works developed within the Anthropological Theory of Didactics - TAD by Yves Chevallard and using the Study and Research Pathway - PEP as methodology. The context of this research encompasses students of the 1st semester of mathematics undergraduate course in Precalculus discipline. The analysis of the evolution of the concept in the trigonometric field revealed the loss of the raison d'être of the teaching and learning sine and cosine functions, which consequently can influence the difficulties of students with the related content. Thus, through the dominant model revealed with the conditions and restrictions, we used an Epistemological/Praxological Model of Reference - PRM based on the theoretical framework used in order to establish our PEP, through a device for the study of sine and cosine, integrated with GeoGebra, through periodic physical phenomena. The results reveal that the integration of GeoGebra from a PEP for modeling periodic phenomena allowed undergraduate mathematics students to build didactic systems for the study of sine and cosine functions, in order to retrieve the raison d'être of this mathematical object, integrating the circular model with the oscillatory model. One emphasizes that the study through investigation allowed the reconstruction of mathematical and didactic praxologies, allowing the students to integrate the paper and pencil environment with GeoGebra, and thus having a greater predilection for the dialectic of questions and answers for the construction of their possible practices as future teachers.
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https://hal.archives-ouvertes.fr/tel-03747885
Contributor : ELIANE SANTANA DE SOUZA OLIVEIRA Connect in order to contact the contributor
Submitted on : Monday, August 8, 2022 - 11:48:18 PM
Last modification on : Wednesday, August 10, 2022 - 3:09:56 AM

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Eliane Santana de Souza Oliveira. ESTUDO DAS FUNÇÕES SENO E COSSENO POR MEIO DEUM MODELO DIDÁTICO ALTERNATIVO INTEGRADO AO GEOGEBRA. Education. Universidade Federal da Bahia (Brésil); Universidade Estadual de Feira de Santana (Brésil), 2020. Portuguese. ⟨tel-03747885⟩

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