2026-10-222026-10-222025-04-28SANTOS, Matheus de Albuquerque Coelho dos. Ensino de relações métricas de triângulos retângulos através de atividades no GeoGebra. Orientadora: Cinthia Cunha Maradei Pereira. 2025. 122 f. Dissertação (Mestrado Profissional em Ensino de Matemática) - Centro de Ciências Sociais e Educação, Universidade do Estado do Pará, Belém, 2025.https://portaldaposgraduacao.uepa.br/handle/riuepa/379AbertoRelação métricaTriângulo retânguloGeoGebraRegistros de representação semióticaTPACKMetric relationRight angled TriangleSemiotic representation registerDissertaçãoCiências Humanas::EducaçãoCiências Humanas::Educação::Ensino-AprendizagemCiências Humanas::Educação::Ensino-Aprendizagem::Tecnologia EducacionalCiências Exatas e da Terra::MatemáticaThe integration of Digital Information and Communication Technologies (DICT) in education has significantly changed pedagogical practices, especially in the teaching of mathematics. Among these tools, GeoGebra stands out as a widely used software due to its dynamic and interactive interface that allows for visual and investigative exploration of mathematical concepts. This study aims to analyze the applicability of an activity guide developed with GeoGebra for teaching metric relations in right triangles, based on Raymond Duval's Theory of Semiotic Representation Registers (TRRS) and Shulman's TPACK model. The research is characterized as applied, exploratory and qualitative-quantitative, structured through a theoretical review, the development and application of the activity guide, followed by the analysis of responses from teachers in public and private schools in the state of Pará, Brazil. The results show that the use of GeoGebra improves the visualization and understanding of metric relationships, promotes the integration of different registers of mathematical representation, and strengthens teaching through more dynamic and meaningful practices. The study also highlights the importance of educational materials, such as the proposed activity guide, and points to the feasibility of its application in different educational contexts, contributing to teacher training and student learning. Finally, it recommends the development of new guides for other mathematical topics, such as systems of equations, quadratic functions, triangle similarity, and analytic geometryPPGEM - Metodologia para ensino de matemática no nível fundamental