2026-11-042026-11-042025-09-16SILVA, Carlos Antonio Nascimento da. O ensino de análise combinatória no ensino médio por meio de atividades experimentais. Orientadora: Ana Kely Martins da Silva. Coorientador: Pedro Franco de Sá. 2025. 183 f. Dissertação (Mestrado Profissional em Ensino de Matemática) – Universidade do Estado do Pará, Parauapebas, 2025.https://portaldaposgraduacao.uepa.br/handle/riuepa/407AbertoEnsino médioEngenharia didáticaEnsino de matemática por atividade experimentalEnsino de análise combinatóriaHigh schoolDidactic engineeringTeaching mathematics through experimental activityteaching combinatorial analysisDissertaçãoCiências Humanas::EducaçãoCiências Humanas::Educação::Ensino-AprendizagemCiências Humanas::Educação::Ensino-Aprendizagem::Avaliação da AprendizagemThis work presents a research proposal on the teaching of Combinatorial Analysis at secondary level that seeks to answer the following research question: “What are the possible effects that the application of a Didactic Sequence, based on problem solving and the use of activities experiments, can have on the understanding and performance in solving questions on the subject in high school students?”, The objective of the study is to analyze the possible effects that the application of a Didactic Sequence, based on problem solving and the use of experimental activities, may have on the understanding and performance in solving questions on the subject in high school students. The research methodology that will be adopted is Didactic Engineering. The experiment is expected to be carried out in at least one high school class in the state network in the urban region of the municipality of Parauapebas in Pará. The theoretical framework adopted in our research is based, among others, on the work of Almouloud and Silva (2012 ), Artigue (2018), Rosas (2018), Sá (2019), Sá (2022) and Sá, Mafra e Fossa (2022). The results of the Preliminary Analysis indicate that according to teachers in the city, the subjects that students have the most difficulty with involve solving problem situations about Simple Arrangement and solving problem situations about Simple Combination. The review of studies on the subject shows that many issues related to the content on screen could be approached in different ways in the classroom, using different resources and adopting different methodologies, with the possibility of presenting better results in the teachinglearning process.PPGEM - Metodologia para ensino de matemática no nível médio