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Sequências didáticas envolvendo conceitos de função do primeiro grau a partir das orientações curriculares nacionais: [manuscrito] perspectivas para o ensino de matemática

Hoyle, Lívia da Silva

Sequências didáticas envolvendo conceitos de função do primeiro grau a partir das orientações curriculares nacionais: perspectivas para o ensino de matemática [manuscrito] / Lívia da Silva Hoyle - Rio Branco 2017 - 170 f. il.

Orientador Edcarlos Miranda de Souza Coorientador Itamar Miranda da Silva

Dissertação (mestrado) - Universidade Federal do Acre, Mestrado Profissional em Ensino de Ciências e Matemática, 2017

Abstract: The main purpose of this study was to construct a didactic sequence with diversified activities that help Mathematics´ teachers in the development of concepts and representations of the first-degree Function. The present work is based on bibliographical research and, we take into account, mainly, in the theory of Registers of Semiotic Representations developed by Raymond Duval (2013) in order to understand the transformations of the mathematical object and the recommendations of the National Curricular Parameters (PCNs) for Secondary School. It was developed a workshop with a group of 6 students of the Technical Computer Course integrated to High School of the Federal Institute of Education, Science and Technology of Acre/Campus Sena Madureira, in February 2016, guided by the Didactic Engineering methodology that consists of four phases: the first stage consists of a preliminary analysis the second of structuring the didactic sequence and a priori analysis the third is composed of experimentation and the fourth and last phase of a posteriori analysis and evaluation, with the intention of exploring the multiplicity of representations of the firstdegree Function and identify the difficulties facing the object of research and to facilitate the definition of some proposals of activities. To fulfill the main goal of the research, the educational product implies the elaboration of a directed didactical material, that involves applications of the software GeoGebra and Excel, problem situations using an interdisciplinary approach, collection of issues of the ENEM which addresses the concepts of first-degree Function, an educational game and the application of axiomatic concepts and inherent mathematical properties. The material also presents, whenever possible, with the use of auxiliary videos for the development of some activities, making the text more interactive for some explanations. Our intention is to provide a number of approaching options concerning to the researched object for the Mathematics teacher, making it possible for her/him to use it according to the reality.


Função do 1º grau
Sequência didática
Software GeoGebra
Excel
Jogo educacional

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