DSpace Coleção:https://repositorio.ufpb.br/jspui/handle/123456789/11142026-04-08T14:25:49Z2026-04-08T14:25:49ZSéries de potências como método de solução de EDO: fundamentos e aplicaçõesCaio Vinicius Oliveira de Ponteshttps://repositorio.ufpb.br/jspui/handle/123456789/369422025-12-20T06:12:50Z2025-12-11T00:00:00ZTítulo: Séries de potências como método de solução de EDO: fundamentos e aplicações
Autor(es): Caio Vinicius Oliveira de Pontes
Orientador: Carlos Alberto Gomes de Almeida
Abstract: The study of Ordinary Differential Equations is extremely important for various fields,
such as Physics and Engineering. However, there are some Ordinary Differential Equations
(ODEs) for which the most well-known methods are not effective, making it necessary to
explore knowledge tools for an alternative approach. One of the tools that can be used is
solving through Power Series, which allows representing the solution of the ODE in the
form of Series around a specific point. In this context, we sought to investigate how the
power series method can be applied in solving second-order ODEs with variable coefficients.
To prove its functionality, the method was applied to two very important ODEs in the field
of mathematics, the Airy equation and the Legendre equation. As this study is related to
ODEs, it falls within the field of pure mathematics, specifically in the subfield of analysis.
Editor: Universidade Federal da Paraíba
Tipo: TCC2025-12-11T00:00:00ZA importância da prática reflexiva na formação inicial de professores de matemática: uma análise a partir de experiências no laboratório de ensino de matemáticaSilva, Ihellen Hértilla Sinésio Cândido dahttps://repositorio.ufpb.br/jspui/handle/123456789/333322025-02-04T06:07:02Z2024-05-07T00:00:00ZTítulo: A importância da prática reflexiva na formação inicial de professores de matemática: uma análise a partir de experiências no laboratório de ensino de matemática
Autor(es): Silva, Ihellen Hértilla Sinésio Cândido da
Orientador: Paiva, Jussara Patrícia Andrade Alves
Abstract: This study investigated the importance of reflective practice in the Mathematics Teaching
Laboratory for the initial training of teachers. Based on a qualitative, exploratory, and
bibliographic approach, the methodological procedures involved literature review, classroom
observation, and activity analysis. The results emphasized the relevance of reflective practice
in promoting the development of pedagogical skills and preparing future educators to face
educational challenges. The initial teacher training should integrate theory and practice,
fostering critical and collaborative reflection for more meaningful and inclusive teaching. The
research was conducted at Campus IV of the Federal University of Paraíba, with the
participation of Mathematics undergraduates, highlighting the importance of reflection in
problem-solving and the interaction between theory and practice. The findings contribute to
the improvement of pedagogical approaches in the context of the Mathematics Teaching
Laboratory and to the formation of more reflective and effective teachers.
Editor: Universidade Federal da Paraíba
Tipo: TCC2024-05-07T00:00:00ZAproximação em análise real: A fórmula de Taylor e o método de NewtonRocha, Reynald Nascimento dahttps://repositorio.ufpb.br/jspui/handle/123456789/333312025-02-04T06:07:04Z2024-05-06T00:00:00ZTítulo: Aproximação em análise real: A fórmula de Taylor e o método de Newton
Autor(es): Rocha, Reynald Nascimento da
Orientador: Campos, Jamilson Ramos
Abstract: The main goal of this work is to carry out a bibliographic and theoretical study on
two approximation methods in real analisys: Taylor's formula and Newton's method.
Initially, we present a brief historical review of the development of Calculus/Analysis and
the emergence of our objects of study. Essential concepts and necessary results for the
development of the work will be stated and the approximation techniques will be presented
in a slightly more detailed way, together with one or more applications.
Editor: Universidade Federal da Paraíba
Tipo: TCC2024-05-06T00:00:00ZEducação financeira: uma abordagem pedagógica do jogo piquenique no ensino fundamentalSilva, Crislayne de Araújohttps://repositorio.ufpb.br/jspui/handle/123456789/327012024-12-05T06:05:29Z2024-10-23T00:00:00ZTítulo: Educação financeira: uma abordagem pedagógica do jogo piquenique no ensino fundamental
Autor(es): Silva, Crislayne de Araújo
Orientador: Souza, Cristiane Fernandes de
Abstract: This Course Conclusion Paper presents research that aims to explore the pedagogical use of the
Picnic Game to approach Financial Education in the 9th year of Elementary School. It
references several authors, including Eker (2005); Sousa, Vaz and Pimentel (2018), Santos and
Araújo (2021), Rocha (2022), Brasil (2018), among others. In relation to methodological
procedures, the research is classified as qualitative and exploratory, aiming to answer the
question about the pedagogical impacts of using the Picnic Game in learning Financial
Education in the 9th year of Elementary School. Regarding data collection, the research is
characterized as a case study, as it allowed a deeper and more detailed study of Financial
Education knowledge through a proposed teaching sequence for students in the 9th year of
Elementary School. With the development of the sequence in the classroom, analysis of the
research data showed that this contextualized methodology promotes a more meaningful
interaction between students, favoring the development of critical thinking, mathematical
knowledge such as percentages and decision making in the context of Financial Education. This
research allows the exploration of other Mathematics themes and the search for strategies that
result in more meaningful learning, in which students feel truly motivated to learn in a practical
and contextualized way.
Editor: Universidade Federal da Paraíba
Tipo: TCC2024-10-23T00:00:00Z