Mestrado Profissional em Matemática em Rede Nacional
URI Permanente para esta coleção
Nível: Mestrado Profissional
Ano de início: 2006
Conceito atual na CAPES: 5
Ato normativo: Portaria MEC nº 609, de 14/03/2019, publicada no DOU em 18/03/2019, seção 1, página 63. Parecer CES/CNE nº 487/2018.
Periodicidade de seleção: Anual
Área(s) de concentração: Matemática na Educação Básica
Url do curso: https://matematica.redenacional.ufes.br/pos-graduacao/PROFMAT/detalhes-do-curso?id=1474
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- ItemO estudo da análise combinatória como ferramenta pedagógica na resolução de problemas do ENEM(Universidade Federal do Espírito Santo, 2025-10-23) Ribeiro Júnior, Carlos Augusto; Rosado Filho, Moacir ; https://orcid.org/0000-0001-7617-3133; http://lattes.cnpq.br/5049304126500678; https://orcid.org/0009-0008-3665-5814; http://lattes.cnpq.br/1469434598609356; Guimarães Filho, Florêncio Ferreira; https://orcid.org/0000-0001-7737-8763; http://lattes.cnpq.br/4147185115841521; Magela, Mateus Mendes ; https://orcid.org/0000-0003-1834-5720; http://lattes.cnpq.br/0824069190696297The purpose of this work is to present a didactic sequence focused on the teaching of Combinatorial Analysis, aiming to guide mathematics teachers in developing this topic, specifically in relation to solving problems from the National High School Examination (ENEM). The objective is to provide an alternative that fosters student engagement in carrying out activities, emphasizing creativity, patience, perseverance, and the development of skills necessary for solving such problems. The development of this dissertation seeks to assist teachers and students in the teaching-learning process and to make the teaching of Combinatorial Analysis more pleasant and less arduous. The dissertation is divided into chapters that address the National High School Examination (ENEM), the National Common Curricular Base (BNCC), and the teaching of Combinatorial Analysis. It briefly presents the definition of the main counting methods covered in ENEM in recent years. Finally, a selection of some Combinatorial Analysis questions that have appeared on ENEM exams in recent years is carried out. For each question presented, at least one solution is proposed, accompanied by a critical analysis
- ItemGrafos e redes sociais: relato de uma experiência didático-prática(Universidade Federal do Espírito Santo, 2025-08-15) Carneiro, Daniel Caxias; Valentim, Fábio Júlio; https://orcid.org/0000-0003-2405-7696; http://lattes.cnpq.br/8745134398831488; https://orcid.org/:0009-0002-0149-4316; http://lattes.cnpq.br/4057975076713924; Gonçalves Júnior, Etereldes ; https://orcid.org/0000-0002-7035-1792; http://lattes.cnpq.br/1967221536722003; Silva, Pedro Mattos; https://orcid.org/0000-0001-6239-1316; https://buscatextual.cnpq.br/This dissertation presents an exploratory approach to the application of Graph Theory to the analysis of social networks in a school environment. Based on data collected through a sociometric questionnaire administered to four high school classes, different graphs were constructed to represent relationships of leadership, dedication, collaboration in the classroom, and preferences for group work. Using centrality metrics such as PageRank and betweenness, the study investigates interaction patterns among students, relating these findings to the formal elections of class representatives. Additionally, the concept of the Erdős number is adapted to the school context. The results reveal relevant insights into the social structure of the classes and offer teachers quantitative tools to better understand and optimize collaborative dynamics.
- ItemO ensino de números binários na educação básica através de jogos(Universidade Federal do Espírito Santo, 2025-08-28) Gama, Abraão Moisés Matos; Ccoyllo, Rosa Elvira Quispe; https://orcid.org/0000-0002-0530-966X; http://lattes.cnpq.br/9178587038150097 ; https://orcid.org/0009-0008-9738-5790; http://lattes.cnpq.br/8277015906376667 ; Pinto, Tiane Marcarini; http://lattes.cnpq.br/9528109818221516 ; Caliman, Maria Clara Schuwartz Ferreira; https://orcid.org/0000-0001-9323-5041; http://lattes.cnpq.br/9245815665956760The main goal of this work is to conceptualize the Binary Number System, as well as present active methodology strategies, in the form of games, for the enforcement of this content in the basic education’s classroom. This research will be substantiated in literature review of published books and articles, as well as the author’s own teaching experience. Practical applications of the binary numbers in everyday situations will be cast and, by the end of the work, the results of the games’ enforcement in the classroom are going to be presented, as well as an observation of these results.
- ItemDivisibilidade e congruência: aplicações didáticas no ensino médio(Universidade Federal do Espírito Santo, 2025-10-03) Campos, Allan Golder; Ccoyllo, Rosa Elvira Quispe; https://orcid.org/0000-0002-0530-966X; http://lattes.cnpq.br/9178587038150097; https://orcid.org/0009-0007-8345-0945; https://buscatextual.cnpq.br/; Morais, Cássio Henrique Vieira; https://orcid.org/0009-0005-1520-4780; http://lattes.cnpq.br/2976593974420571; Prane, Bruna Zution Dalle; https://orcid.org/0000-0001-5380-6620; http://lattes.cnpq.br/4707006822711579This dissertation investigates high school students’ understanding of divisibility and congruences through a structured didactic intervention. Initially, a diagnostic activity was applied to identify the main difficulties and strategies used by students when solving problems involving modular arithmetic and cyclic patterns. Based on the results obtained, a sequence of four investigative lessons was designed, aimed at consolidating the fundamental concepts. Subsequently, a second application was conducted to assess students’ progress, revealing an increase in correct answers in questions related to simultaneous congruences, day-of-the-week cycles, and patterns of remainders in powers. The results indicate that the intervention contributed to the improvement of conceptual understanding and the ability to apply appropriate problem-solving strategies, although some more complex questions still posed significant challenges. The analysis highlights the importance of contextualized activities and continuous practice for the consolidation of mathematical reasoning at the high school level
- ItemA resolução de problemas como estratégia para o ensino da matemática para alunos do ensino médio(Universidade Federal do Espírito Santo, 2025-07-31) Santos, Gabriela Loureiro Lomonte Faria; Guimarães Filho, Florêncio Ferreira ; https://orcid.org/; http://lattes.cnpq.br/4147185115841521; https://orcid.org/0009-0001-8599-7959; http://lattes.cnpq.br/9790325280635179; Bayer, Valmecir Antonio dos Santos; https://orcid.org/0000-0002-3276-1328; http://lattes.cnpq.br/5381937275780405; Fernandes, José de Arimatéia ; https://orcid.org/0009-0005-8573-3987; http://lattes.cnpq.br/9776386122552122Resolution of problems is a skill that can and must be developed in everyone, because it can help to reach a sucess in professioanl and academic settings. When we talk about resolution of problems, we must not focus just find a solution, but we need identifying, analyzing and creating strategies. Involuntarily, we develop criative potential, critical thinking and autonomy. Math is the most disliked matter betwen students, and to understand better this subject we do a search using problem solving methodology.Firstly, a questionnaire was applied to know the main difficulty. After analyzing the questionnaire, we solved math problems using tips taken from the book “The art of problem solving” by George Polya. Finally, a second questionnaire was applied to kwon f the problem solving methodology made mathematics easier to students