Licenciatura em Matemática (Sede)
URI permanente desta comunidadehttps://arandu.ufrpe.br/handle/123456789/24
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APP - Artigo Publicado em Periódico
TAE - Trabalho Apresentado em Evento
TCC - Trabalho de Conclusão de Curso
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Item Equações polinomiais do I ao IV grau: uma breve história do seu desenvolvimento(2024-10-02) Santos Neto, José Pio dos; Souza, Cícero Monteiro de; http://lattes.cnpq.br/7540654793551489; http://lattes.cnpq.br/5113765752328533The present work aims to present a History of Algebra, with an emphasis on the evolution of concepts and the formalization of polynomial equations from the first to the fourth degree, as well as to analyze the solution methods developed over time. Initially, the algebraic contributions of primitive civilizations are presented chronologically, covering the crucial moment of the systematization of mathematics by the Greeks until the fall of the Roman Empire. Then, with the arrival of the Middle Ages, the Arab invasions, the establishment of the House of Wisdom, and the translation centers, mathematics became accessible to all peoples, and consequently, algebra began to gain significant importance in problem-solving, especially in commercial transactions. By the end of the Middle Ages, first- and second-degree algebraic equations could already be solved, although negative roots were still not considered. Finally, in the 16th century, the concept of imaginary roots and the solution of third- and fourth-degree equations were developed. However, it was only with the French mathematician François Viète (1540 – 1603) that algebra began to evolve into modern algebra, with the creation of a literal notation for the representation of numbers, whether known or unknown, through letters.Item Estratégias utilizadas por alunos de 8º ano ao resolverem tarefas exploratórias de expressões algébricas(2023-09-21) Lima, Jonathas Vinícius Barbosa; Rodrigues, Cleide Oliveira; http://lattes.cnpq.br/6322702078126682Item Níveis de pensamento algébrico de licenciandos em Matemática na resolução de problemas de partilha(2021-12-20) Ferreira, Tharsis dos Santos; Almeida, Jadilson Ramos de; http://lattes.cnpq.br/5828404099372063; http://lattes.cnpq.br/9376670418775000The objective of this work was to identify the level of development of algebraic thinking in mathematics undergraduate students when solving quantity-sharing problems. For that, the model developed by Almeida (2016) was used as a basis, which proposes four levels of development of algebraic thinking in relation to sharing problems, level 0, absence of algebraic thinking; level 1, incipient algebraic thinking; level 2, intermediate algebraic thinking; and level 3, consolidated algebraic thinking. The research subjects were 64 students from the 1st period of the Mathematics Licentiate Course at a public university in the State of Pernambuco. Data collection took place through a test consisting of six sharing problems, which are characterized by having a known quantity that is split into unknown and unequal quantities. We found that most of the participants, 73%, found themselves with consolidated algebraic thinking when faced with a problem of sharing. However, some students arrive at the degree course in mathematics with this way of thinking without being fully developed, since 5% of the subjects are at level 1, that is, it mobilizes three characteristics of algebraic thinking, 8% of those surveyed find it if at level 2, that is, it mobilizes 4 features of algebraic thinking. It was also possible to notice that 14% of the research subjects are at level 0, that is, they cannot establish the necessary relationships to respond to a sharing problem, a problem that is related to a polynomial equation of the 1st degree, a mathematical object studied in elementary school.