Banca de DEFESA: TIAGO WESLEY DE JESUS MACHADO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : TIAGO WESLEY DE JESUS MACHADO
DATA : 14/04/2023
HORA: 14:00
LOCAL: Campus Imperial, Salas H
TÍTULO:

MATHEMATICS IN ASTRONOMY: USE OF HELIOCENTRIC PARALXIS IN THE TEACHING OF RIGHT TRIANGLE TRIGONOMETRY

PALAVRAS-CHAVES:

Item Response Theory. Teaching Trigonometry. Display of Parallax

PÁGINAS: 153
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

This work uses Astronomy as a motivating agent in the teaching of Mathematics, more specifically in the teaching of Trigonometry in the Rectangle Triangle for High School students, as well as using an evaluation instrument to quantify the degree of students’ learning. A bibliographical research was carried out in the official educational documents of the Ministry of Education and the State Department of Education of Mato Grosso in order to know what is expected of high school students when learning Trigonometry in the Rectangle Triangle. A survey of the development of Trigonometry throughout history was also carried out, passing through ancient peoples and reaching the present day. The application of this work took place with the three classes of the 2nd year of High School of 2022 at the Escola Estadual Militar Tiradentes “Sd PM Adriana Moraes Ramos”, where the proposal was presented to the students and, after their acceptance to participate, Initially, three pre-tests aided by the IRT were carried out, one on Measurement Units, another on Astronomy and another on Trigonometry in the Right Triangle in order to diagnose the proficiency that these students already had. A didactic sequence was built with the aim of leveling students with regard to the necessary prerequisites for the development of activities, and the material was made available through a Virtual Learning Environment. As a way of transforming mathematical learning, which is abstract, into something tangible, the students built a rudimentary Parallax Display, which they used to indirectly measure short distances inside the school yard, making a report in which they demonstrated how they arrived at such a distance. After this indirect measurement experience, data from some stars were given to the students so that they could calculate the distance between these stars and the Earth using the Heliocentric Parallax method, producing a final report with the calculations used. After the intervention, the students were submitted to a post-test of Trigonometry in the Rectangle Triangle in order to serve as a comparison with the initial pre-test and to better analyze the effectiveness of the didactic sequence applied. As a way of measuring the students’ opinion regarding the didactic sequence, a satisfaction questionnaire was applied in which they answered objective and discursive questions regarding the approach. This application provided students with a different way of learning Trigonometry in the Right Triangle, reflecting directly on the learning rates which can be observed in the comparison between the pre-test and the post-test on Trigonometry in the Right Triangle. As a contribution to the Teaching of Trigonometry in the Right Triangle, a manual was developed for the construction and use of a Parallax Display for indirect measurements of distances. Finally, all the materials necessary for the development of this work, such as the evaluation questions, can be found in the annexes and appendices.

MEMBROS DA BANCA:
Presidente - 200181001 - SILVIO CESAR GARCIA GRANJA
Interno - 47607013 - INEDIO ARCARI
Externo à Instituição - MAURO ANDRÉ DRESCH - UFMT