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 SENO AND COSENE FUNCTIONS FOR GEOGEBRA INTEGRATION FROM A STUDY AND SURVEY WITH MATH LICENSE STUDENTS

PALAVRAS-CHAVES:

Sine and cosine functions; Anthropological Theory of Didactics; Study and Research Path; 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 mathematics graduates integrate technological instruments for the study of sine and cosine functions, through a Study and Research Pathway-PEP. To achieve this, let's look at epistemological aspects of sine and cosine functions; analyze based on a Praxeological Reference Model-MPR as the dominant model presents the teaching of sine and cosine functions; integrate technological resources as an instrument for teaching sine and cosine functions; mathematically model periodic physical phenomena for the study of sine and cosine functions; analyze 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 Chevallard's Anthropological Theory of Didactic-TAD (1999). This research presents as methodology the Engineering of PEP. The context of the research are students of the 1st semester of the Mathematics undergraduate course of the Precalculus discipline and students of the 2nd semester of the Mathematics undergraduate course of the Instrumentation for Mathematics II-INEM II which aims to to work on teaching sine and cosine functions with students. 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 sine and cosine functions, which consequently may influence the students' difficulties with this content. Thus, we built an Epistemological / Praxeological Reference Model - MPR based on the theoretical framework used to support the construction of our PEP, from a device for the study of sine and cosine functions, integrated to the geogebra, through phenomena. periodic physicists. The results indicate that the integration of geogebra from a PEP for modeling periodic phenomena allowed the undergraduates in mathematics to build didactic systems for the study of sine and cosine functions, in order to rescue the raison d'être of this mathematical object. We emphasize that the study through research, allowed the reconstruction of mathematical and didactic praxeologies, allowing them to integrate the paper and pencil environment with the geogebra, and thus having a greater preference for the dialectic of questions and answers to build their possible practices while future teachers.

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