DSpace Coleção:
http://www.repositorio.ufc.br/handle/riufc/4747
Fri, 27 Jan 2023 14:07:20 GMT2023-01-27T14:07:20ZSistema permanente de avaliação do Ceará: detalhamento da matriz referência de matemática do 9º ano do ensino fundamental
http://www.repositorio.ufc.br/handle/riufc/70252
Título: Sistema permanente de avaliação do Ceará: detalhamento da matriz referência de matemática do 9º ano do ensino fundamental
Autor(es): Azevedo, Luiz Felipe Araújo
Abstract: This work aims to present a study on the Permanent System of Evaluation of Basic Education in Ceará (SPAECE), focusing on the reference matrix of mathematics for the 9th year of the final years of elementary school. The evaluation characteristics are presented, such as: Reference matrix, item, proficiency scale and descriptors. In the last section, the research reference matrix is detailed, 1 item is presented as an example, exploring the possibilities of thoughts on the part of the students, as well as discussions and strategies to improve the teaching of the Descriptor. The main contributions are referenced by the Secretary of Education of Ceará and by SPAECE itself, either through the website or through the pedagogical bulletins, in addition to several authors on mathematics teaching, assessment and education.Sat, 01 Jan 2022 00:00:00 GMThttp://www.repositorio.ufc.br/handle/riufc/702522022-01-01T00:00:00ZO teorema da aplicação inversa e aplicações
http://www.repositorio.ufc.br/handle/riufc/70186
Título: O teorema da aplicação inversa e aplicações
Autor(es): Zacarias, André Pinheiro da Silva
Abstract: The Inverse Application Theorem (IAT) is an important analysis result that establishes, even if locally, the existence of a continuously differentiable inverse map. Given its importance, this work aims to show in detail its demonstration. Before, we will expose all the necessary prerequisites and, soon after, we will analyze some applications such as the Implicit Function Theorem and the Lagrange multipliers method. In order to give a broader idea and show that the TAI is valid in other environments, we will give a basic but sufficient view of Euclidean surfaces and then we will enunciate and give the due proof of the TAI between Euclidean surfaces of the same dimension. From there we will further extend our environment to differentiable manifolds.Sat, 01 Jan 2022 00:00:00 GMThttp://www.repositorio.ufc.br/handle/riufc/701862022-01-01T00:00:00ZTeoremas fundamentais da matemática: história, demonstrações e aplicações
http://www.repositorio.ufc.br/handle/riufc/70130
Título: Teoremas fundamentais da matemática: história, demonstrações e aplicações
Autor(es): Rebouças, Raphael Lima
Abstract: This work presents some fundamental theorems of Mathematics, some demonstrated decades ago and others more modern. Proportion will be addressed, an idea widely used by ancient artists and scientists, and nowadays practically in everyone's daily life. We will also observe the range of possibilities for applying combinatorics, going through the main counting techniques. We will understand the importance of prime numbers in the formation of composite numbers, as well as working with multiples and divisors.
We will also show the idea of limit, exposing some fundamental limits in the study of differential and integral calculus, also approaching the trigonometry present in it and the main theorem of this branch of Mathematics. The objective of this research is to show the importance of these theorems, exposing applications in everyday life, both in Mathematics and in other sciences.Sat, 01 Jan 2022 00:00:00 GMThttp://www.repositorio.ufc.br/handle/riufc/701302022-01-01T00:00:00ZDízimas periódicas: números cíclicos e teorema de Midy
http://www.repositorio.ufc.br/handle/riufc/69894
Título: Dízimas periódicas: números cíclicos e teorema de Midy
Autor(es): Alves, Diego Pereira
Abstract: The present work aims to present the cyclic numbers, Midy's theorem and the relationships between them and the recurring decimals. Initially, we show the possible decimal forms of a rational number a/b. Next, we present the definition of cyclic numbers along with examples and, later, we show curiosities about the cyclic number 142857. Next, we relate the repeating decimals to these numbers showing that if a fraction 1/b generates a repeating decimal whose length of period is b -1, so b is prime and the number representing the period is cyclic. Subsequently, we demonstrate Midy's Theorem and present its applications in the determination of decimal periods. Finally, we present suggestions for didactic activities applicable in Basic Education and that use the previously mentioned concepts.Sat, 01 Jan 2022 00:00:00 GMThttp://www.repositorio.ufc.br/handle/riufc/698942022-01-01T00:00:00Z