Banca de DEFESA: ELIANE SANTANA DE SOUZA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE : ELIANE SANTANA DE SOUZA
DATA : 14/04/2020
HORA: 14:00
LOCAL: FACED
TÍTULO:

STUDY OF THE SINE AND COSINE FUNCTIONS THROUGH AN ALTERNATIVE EDUCATIONAL MODEL INTEGRATED TO THE GEOGEBRA

PALAVRAS-CHAVES:

Sine and cosine functions. Anthropological Theory of Didactics. Study and Research Course. GeoGebra.

PÁGINAS: 200
GRANDE ÁREA: Ciências Humanas
ÁREA: Educação
SUBÁREA: Ensino-Aprendizagem
ESPECIALIDADE: Métodos e Técnicas de Ensino
RESUMO:

The objective of this research is to analyze how an alternative didactic model using GeoGebra favors the study of sine and cosine functions. To achieve this, we will contemplate epistemological aspects about the sine and cosine functions; analyze, based on a Praxeological Reference Model - MPR, how the dominant model presents the teaching of sine and cosine functions; integrate GeoGebra for teaching sine and cosine functions; mathematically model periodic physical phenomena to study the referred functions; and to analyze the effects of a new didactic configuration from technological environments for the teaching and learning of sine and cosine functions. We adopted, as a theoretical framework, the Anthropological Theory of Didactics - TAD by Chevallard (1999). This work presents the methodology of PEP Engineering. The research context includes students from the 1st semester of the degree course in mathematics of the discipline of Pre-calculus. The analysis of the evolution of the concept in the trigonometric field, revealed the loss of the raison d'être in the teaching and learning of the functions in question, which, consequently, can influence the students' difficulties with the mentioned content. Thus, through the dominant model evidenced with the conditions and restrictions, we use an Epistemological / Praxeological Reference Model - MPR, based on the theoretical framework undertaken, in order to establish our PEP, through a device for the study of functions sine and cosine, integrated with GeoGebra, through periodic physical phenomena. The results show that the integration of GeoGebra, based on a PEP for modeling periodic phenomena, allowed undergraduates in mathematics to build didactic systems for the study of sine and cosine functions, in order to rescue the reason for being of this mathematical object, integrating the circular model with the oscillatory model. We emphasize that the study, through investigation, made possible the reconstruction of mathematical and didactic praxeologies, allowing the undergraduate students to integrate the paper and pencil environment with GeoGebra, thus having a greater predilection for the dialectic of questions and answers for the construction of their possible practices as future teachers.

 

MEMBROS DA BANCA:
Interno - 2226324 - ANDREIA MARIA PEREIRA DE OLIVEIRA
Externo à Instituição - CORINE CASTELA
Externo à Instituição - JOSE DILSON BESERRA CAVALCANTI - UFPE
Interno - 071.811.595-34 - JOSE LUIS DE PAULA BARROS SILVA - UFBA
Externo à Instituição - JOSÉ MESSILDO VIANA NUNES - UFPA
Externo à Instituição - LAERTE DA SILVA FONSECA - IFSE
Presidente - 2138504 - LUIZ MARCIO SANTOS FARIAS