Teodolito escolar: uma proposta de utilização para a exploração e aprofundamento das razões trigonométricas

Abstract

This Undergraduate Thesis presents research that, using concrete materials and exploratory activities, aims to investigate the potential and challenges of constructing and using a theodolite in the study of trigonometric ratios in a state high school in the city of Rio TintoPB, in 2nd-year classes. The main activities developed sought to progressively explore different mathematical concepts in Geometry and Trigonometry, in order to reframe and consolidate content already studied in previous grades. The activities developed and the sequence of classes analyzed in this study are the result of interventions experienced in 2024 in the Teacher Training Support Program of the Mathematics Degree course at the Federal University of Paraíba/Campus IV Litoral Norte. The data analyzed were collected through classroom observations and written activities carried out by the students. The analyses carried out were mainly based on theoretical research addressing the importance and use of concrete teaching materials in mathematics education, the constructive possibilities of such materials with low-cost resources, the development of investigative activities, and work on the structuring of teaching sequences. From this perspective, the research showed that the construction and use of the theodolite favored the participation and development of student autonomy in constructing meaningful learning experiences in measuring inaccessible heights, enabling the articulation between theoretical knowledge and practical situations.