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
Navegar
Navegando Mestrado Profissional em Matemática em Rede Nacional por Assunto "Análise combinatória"
Agora exibindo 1 - 4 de 4
Resultados por página
Opções de Ordenação
- ItemA resolução de problemas como uma proposta de ensino de análise combinatória(Universidade Federal do Espírito Santo, 2019-12-13) Bassani, Jheimys Bezerra; Rosado Filho, Moacir ; https://orcid.org/0000-0001-7617-3133; http://lattes.cnpq.br/5049304126500678; https://orcid.org/0000-0001-9282-0441; http://lattes.cnpq.br/9797097614232929; Araujo, Alancardek Pereira; https://orcid.org/0000-0001-5183-8805; http://lattes.cnpq.br/2131363687907189This dissertation aims to address ways that facilitate the teaching and learning of combinatorial analysis through a problem-solving approach, pursuing broad and se quential solutions. It starts with the intuitive idea of counting, which will then be com plemented by the fundamental principle of addition and multiplication. After that, the concepts of simple, circular permutation will be presented, together with repeated ele ments and chaotic. We also address simple and complete combination, and Kaplansky’s lemmas by studying the main problems of combination. The problems proposed in the chapters were selected in order to complement the theoretical part- commonly omitted- and to demonstrate alternative resolution techniques, such as counting by inclusion exclusion and recurrence, always oriented to the pursuit of solutions that promote logical thinking and not the use of formulas
- ItemContribuições do teste de três camadas aplicado à avaliação de desempenho em matemática(Universidade Federal do Espírito Santo, 2024-12-05) Peixoto Júnior, Antônio; Rosado Filho, Moacir; https://orcid.org/000-0001-7617-3133; http://lattes.cnpq.br/5049304126500678; https://orcid.org/0009-0003-2304-572X; http://lattes.cnpq.br/8328142104521186; Magela, Mateus Mendes; https://orcid.org/0000-0003-1834-5720; http://lattes.cnpq.br/0824069190696297; Araújo, Alancardek Pereira; https://orcid.org/0000-0001-5183-8805; http://lattes.cnpq.br/2131363687907189This dissertation presents a proposal for a playful intervention, guided by the three-tier test, where an action plan will be developed based on the data collected. The objective of the study is to individualize as much as possible the difficulties identified through these data. The work begins with a brief historical context about the evaluation, also presenting the concept of the three-tier test in general. Then, the three-tier test is applied to the combinatorial analysis content, the data is collected and, with this data in hand, an action plan for the intervention with the students is developed. After the intervention, the students take a new three-tier test so that the developments can be analyzed
- 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
- ItemUma Proposta para o Ensino-Aprendizagem de Análise Combinatória para o Ensino Médio(Universidade Federal do Espírito Santo, 2021-05-20) Lauvers, Chargles dos Santos; Silva, Domingos Sávio Valério; https://orcid.org/0000-0001-6495-2498; http://lattes.cnpq.br/1046925007883007; https://orcid.org/; http://lattes.cnpq.br/8944105640501892; Rosado Filho, Moacir; https://orcid.org/0000-0001-7617-3133; http://lattes.cnpq.br/5049304126500678The objective of this work is to show the teacher/student that the theme Combinatorial Analysis is not to be summarized by formulas, but by simple reasoning in the vast majority of two cases without requiring the use in complicated formulas. This should be the main objective of this work, to show that the formulas take part of the process and not the main center of it. Thus, the problem solving methodology will be valued, in which the exercise will be presented and through it the theory will be introduced. With the evolution of the exercises, we will solve more challenging problems. Thus, the exhibition of this work will develop the main methods of counting, which have been presented during the period of high school.