2026-10-292026-10-292025-06-23PEREIRA, Israel. Ensino do cálculo de grandes áreas com auxílio do teodolito caseiro. Orientador: Fábio José da Costa Alves. 54 f. 2025. Dissertação (Mestrado Profissional em Ensino de Matemática) – Centro de Ciências Sociais e Educação, Universidade do Estado do Pará, Parauabebas, 2025.https://portaldaposgraduacao.uepa.br/handle/riuepa/397AbertoEnsino de matemáticaCálculo de áreaTeodolito caseiroEnsino médioPrática pedagógicaMathematics teachingArea calculationHomemade theodoliteHigh schoolPedagogical practiceDissertaçãoCiências Humanas::EducaçãoCiências Humanas::Educação::Ensino-AprendizagemCiências Humanas::Educação::Ensino-Aprendizagem::Métodos e Técnicas de EnsinoThis dissertation presents the results of a research that aims to investigate the potential of applying a didactic sequence based on Mathematical Modeling and the creation and use of a homemade theodolite to assist in teaching calculation of large areas in high school. The research question was defined as: What is the potential for learning the area, in high school, through the use of a homemade theodolite? The research was carried out in a public school located in the rural area of the municipality of Parauapebas, southeast of Pará. The subjects were 2nd grade students. Audio and video materials were used to collect data, in addition to written materials produced during the experiment. Data analysis took place through the production of proposed activities, where students made the necessary observations and notations and subsequently the data were analyzed in the classroom. To prepare the activities present in the didactic sequence, a trend in Mathematics Education was used: Mathematical Modeling. From the results collected and analyzed from the application of the educational product (didactic sequence), it was possible to conclude that the use of the homemade theodolite has great potential to be explored as a didactic tool for teaching large area calculations, as it encouraged students to mobilize knowledge, in addition to sharpening students' interest in the topic. The results considered have great foundation in the innovative way of approaching the mathematical object through the homemade theodolite. This work has positive implications for teaching Mathematics due to its innovative and functional character, so it is hoped that other teachers or researchers can make use of this innovative methodology, teaching major calculus or in an adapted way with other topics, according to the need. Based on the research results, an educational product was developed in the form of a teaching sequence for teachers to use in the classroom.PPGEM - Metodologia para ensino de matemática no nível médio