Mémoire de Maîtrise
DOI
10.11606/D.55.2017.tde-03022017-113829
Document
Auteur
Nom complet
Juliana Malta de Sousa
Unité de l'USP
Domain de Connaissance
Date de Soutenance
Editeur
São Carlos, 2016
Directeur
Jury
Galvez, Americo Lopez (Président)
Ebert, Marcelo Rempel
Pires, Benito Frazão
Titre en portugais
Funções Trigonométricas e suas aplicações no cálculo de distâncias inacessíveis
Mots-clés en portugais
Distâncias
Paralaxe
Trigonometria
Resumé en portugais
Titre en anglais
Trigonometric Functions and their applications in inaccessible distances calculations
Mots-clés en anglais
Distances
Parallax
Trigonometry
Resumé en anglais
This paper aims at motivating teachers who teach Trigonometry in high school by suggesting ways and teaching proposals that can make it easier to lead the students into developing their abilities so as to master trigonometric functions in order to make use of such knowledge for solving everyday life problems. The teaching of Trigonometry as it has been done is not generally enjoyable for the most part of the students who resent the demands of memorization of a volume of information which can hardly find any practical applicability day to day. The suggestion presented in this thesis is based on freeing one from such a methodology that requires memorizing definitions and formulas without correlating fact and concept and from employing mechanical solving of exercises and by doing so avoid mandatory memorizing of algorithms. This work has been done in two complementary phases: a theoretical and an experimental one. Within the theoretical part we have brought in the definitions of trigonometric functions; the definitions of measurement of angles both in degrees and radians in order to demonstrate and explain the reason for the existence of two different measurement units for angles as well as the differences and the more advantageous forms each of them presents for the representation of a trigonometric function. In the experimental part a practical application of the concepts studied was done such as the calculation of inaccessible distances using the Parallax method. In this phase we have done a simulation of common real life situations using the similarity of triangles. After we showed situations in which one can make practical and contextualized use of Trigonometry. For such we invited some students from the NGO Pedra Dura - LapidandoTalentos. The activities done are easily applicable and showed significant results when they optimized the teaching and learning process and extrapolated the classroom limits once the methodology used for the building of knowledge was not restricted to a board, a piece of chalk, a notebook and the classroom.The approach given has brought forward a practice capable of bringing new meaning to contents for the students by making the teaching of Trigonometry more involving because, although there is extensive literature about this subject there is not a detailed description or interpretation of teaching practices aimed at such contextualization. A step by step was thus built on how to develop situated learning sequences making use of simple and low cost resources.

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Date de Publication
2017-02-03

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