SEQUÊNCIAS NUMÉRICAS A PARTIR DA GEOMETRIA FRACTAL PARA LICENCIANDOS EM MATEMÁTICA Santa Maria 2017

• Ano de defesa: 2017
• Autor(a) principal: Batista, Bárbara Regina da Silveira
• Orientador(a): Leivas, José Carlos Pinto
• Banca de defesa: Nehring, Cátia Maria, Dorow, Thais Scotti do Canto
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Centro Universitário Franciscano
• Programa de Pós-Graduação: Programa de Pós-Graduação em Ensino de Ciências e Matemática
• Departamento: Ensino de Ciências e Matemática
• País: Brasil
• Palavras-chave em Português: investigação matemática, geometria, geometria fractal, sequências numéricas, formação inicial, ensino superior.
• Palavras-chave em Inglês: mathematic investigation; geometry; fractal geometry; numerical sequences; initial formation; higher education
• Área do conhecimento CNPq: Ciências e Matemática
• Link de acesso: http://www.tede.universidadefranciscana.edu.br:8080/handle/UFN-BDTD/595

This dissertation is a result of a mathematic investigation carried out in an university, located in Santa Maria/RS, that had as objective investigate which contributions of Fractal Geometry, when was used to introduce the content of numerical sequences, to Mathematics students. This is a mathematical investigation, as a research methodology, for systematization of teaching, complemented by the qualitative approach. Fractal Geometry allows the integration of many Mathematic fields and others sciences and, when inserted in teaching process, can develop the experimental side of students and understand as a facilitator to apropration of numerical sequences concepts. The data collect was by means of photographical register, notes, material made by participants and constructions and performed registered activities in a field journal, during two horas in each workshop. Previously, the application was developed in a pilot Project, with a activities sequence, involving three licenced Mathematics professor, belonging at the institution that the researcher acts and they had experience with calculation, Statistics, discrete mathematics, analytical geometry and linear algebra subjects. Such professors never had worked with fractal geometry, even though they had some superficial knowledge about the subject, without however using it in their activities. Workshop application with professor allowed a reflexion of the referrals given by the researcher and provided the correction of ways to posterior reapplication with the graduates.in a first meeting, the researcher made a survey about the students framing on a logical sequence of graduation, concluding every graduates had finished some calculation subject. At the same meeting, explored a fractal construction by materials resources as ruler and compass, recovering some contents, forgetted by them. In the second meeting, was resumed the Snowflake fractal, builded at first meeting, to obtain sequences, involving perimeters and áreas. In a survey, applied to participants, was verified the relevance of project to recover knowledges of numerical sequences convergence, that the same indicated possibilities of using in a future professional practic, since the application was made in Mathematic Analysis and the focus in the workshop had given a new sight about the contente in a direction of teaching, main object of professor training.