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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    Do plano ao espaço, o uso da geometria para compreender o funcionamento do GPS
    (Universidade Federal do Espírito Santo, 2025-06-25) Brezinski, Camila Andreatta da Silva; Dal Col Júnior, Alcebíades; https://orcid.org/0000-0002-1376-2229; http://lattes.cnpq.br/8804122683532679; https://orcid.org/0000-0001-5699-2895; http://lattes.cnpq.br/5677720876224157; CCoyllo, Rosa Elvira Quispe; https://orcid.org/0000-0002-0530-966X; http://lattes.cnpq.br/9178587038150097; Campana, Camilo; https://orcid.org/0000-0003-3417-0262; http://lattes.cnpq.br/9522838806768622
    In this dissertation we explore the basic concepts of Plane and Spatial Geometry that make it possible to understand how the Global Positioning System-GPS works. Furthermore, interdisciplinarity between the disciplines of Mathematics and Geography is also worked on. The GPS presence in smartphones helps to stimulate students’ curiosity as a starting point for Geometry learning. By making students reflect on how a cell phone can locate and be located, we open a path to show how basic content/knowledge is involved in the technology they appreciate so much. By showing that Geometry and Geography work together to make it possible to find a point on the Globe based on geographic coordinates, latitude and longitude, we hope that students will be able to understand concepts that previously seemed abstract and purposeless during classes. Encouraging the search for a connection between theoretical content and real life is a way for the school to remain relevant to the student who needs that “little push” to commit to their studies and learn effectively
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    Matemática financeira para a educação básica: letramento financeiro
    (Universidade Federal do Espírito Santo, 2025-07-10) Cardoso, Flávio Luciano; Rosado Filho, Moacir; https://orcid.org/0000-0001-7617-3133; http://lattes.cnpq.br/5049304126500678; https://orcid.org/0009-0005-6024-5274; http://lattes.cnpq.br/3270394040012788; Bayer, Valmecir Antonio dos Santos; https://orcid.org/0000-0002-3276-1328; http://lattes.cnpq.br/5381937275780405; Gadioli, Anderson Oliveira; https://orcid.org/0009-0005-9863-2093; http://lattes.cnpq.br/2141249711119797
    This work addresses fundamental concepts of financial mathematics with a focus on practical applications for everyday life and basic education. It begins with an introduction to more basic concepts, such as percentages and mental calculation, which are essential for understanding financial topics. Next, arithmetic and geometric progressions are explored, along with their applications in simple and compound interest, the shifting of amounts over time, as well as successive increases and discounts—key components for financial literacy. The work frequently emphasizes the development of tools for financial decision-making, comparing different scenarios and strategies to identify what is most advantageous for the citizen’s pocket. Concepts such as equivalent rates, fixed installments, and regular deposits are presented, along with tools such as the Citizen’s Calculator, which proves to be a fast and effective tool for applications involving regular deposits, fixed-payment financing, future value of capital, and value adjustment. The final chapters cover loans, amortization systems (Price and SAC), and retirement, offering guidance on the ideal time to start saving. The work concludes with a chapter of curiosities, expanding understanding in a light and didactic way. This study aims to provide the reader with both practical and theoretical knowledge, bringing examples with simple yet meaningful approaches, following the discussion and deduction of formulas to strengthen practical application. The work was designed to contribute to better financial resource management, consumption, and conscious decision-making
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    Estatística no ensino médio: um guia didático com teoria, aplicações e práticas
    (Universidade Federal do Espírito Santo, 2025-07-28) Luz, Débora Souza; Valentim, Fabio Júlio da Silva; https://orcid.org/0000-0003-2405-7696; http://lattes.cnpq.br/8745134398831488; https://orcid.org/0009-0008-7604-3505; http://lattes.cnpq.br/1075552662826661; Araújo, Alancardek Pereira; https://orcid.org/0000-0001-5183-8805; http://lattes.cnpq.br/2131363687907189; Prezotti Filho, Paulo Roberto; https://orcid.org/0000-0002-9332-4121; http://lattes.cnpq.br/4862283797284079
    This dissertation is dedicated to the development of a didactic-pedagogical guidance manual to support teachers in the planning and implementation of lessons on Statistics, a curricular component within the Financial and Fiscal Education track of the New High School model, in accordance with the guidelines of the Brazilian National Common Curricular Base (BNCC) and the official curriculum of the state of Espírito Santo. The research is based on the recognition of the challenges faced by teachers when working with new curricular components, often without having received specific training. The study examines the foundations of Statistics education as presented in the BNCC and offers practical suggestions aligned with school contexts, seeking to make learning more meaningful and contextualized. The use of local data from Espírito Santo is incorporated into several activities and examples developed throughout the work, aiming to enhance student engagement through contextual relevance. As its main contribution, the material provides both theoretical and practical support to strengthen teaching practices, promoting competencies such as critical thinking and informed decision-making.
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    Contribuições 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/2131363687907189
    This 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
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    Do algoritmo RSA à sala de aula: a criptografia como ferramenta de ensino
    (Universidade Federal do Espírito Santo, 2025-04-25) Silva, Laís Ramos Pereira da; Dal Col Júnior, Alcebíades; https://orcid.org/0000-0002-1376-2229; http://lattes.cnpq.br/8804122683532679; Rosado Filho, Moacir; https://orcid.org/0000-0001-7617-3133; http://lattes.cnpq.br/5049304126500678; Castro, Fidelis Zanetti de; https://orcid.org/0000-0001-9502-0220; http://lattes.cnpq.br/2373180848461397
    RSA cryptography is based on the difficulty of factoring large composite numbers into prime factors. As a relevant topic for high school education, its practical application connects to fundamental mathematical concepts. Its study explores topics such as prime numbers, the Euclidean division, and properties of exponentiation, thus promoting an interdisciplinary learning experience between mathematics and computer science. In the classroom, the topic can be introduced through its historical evolution, followed by accessible and simplified examples that demonstrate the generation of public and private keys, the process of encoding and decoding messages, and the simulation of secure information exchange among students. This approach helps them understand the importance of arithmetic in protecting computer data. Additionally, the curricular components covered stimulate critical thinking, problem-solving, and other related topics.