Saberes docentes na organização do ensinio-aprendizagem: uma construção reflexiva com professoras do ensino fundamental

The present study has the objective to analyze with teachers from Elementary School the knowledge mobilized in the organization of the teaching-learning process, and its implications in the exploitation of that process. The investigation was developed with two teachers from the first years of the Elementary School, from a public school in Pau dos Ferros-RN. It adopts as basis the notion of knowledge as a set of individual and social relations that the individuals maintain with the world and with themselves, in the teaching and learning relation. (CHARLOT, 2000). It considers yet that the knowledges are immediate processes, reconstructed and mobilized by the practice of reflection, in dialogical and interactional contexts in contact with others. (BAKHTIN, 2002, 2003; VYGOTSKY, 1991, 2004, 2005). The collaborative approach was the theoretical and methodological background that oriented the investigative-educative process. By choosing a collaborative research as basis of the investigative pathway, it starts from the knowledge that the critical and collaborative reflection developed with the teachers from the first years of the Elementary School contribute to explicitate and resignify the meanings assigned to the knowledges that these teachers mobilize in the organization of the teaching-learning and its implications in this process. The results of the reflexive and investigative process developed with the teachers demonstrate that the familiar, scholastic, academic, professional, and the work knowledges lived, constitute the consciousness of being a teacher, and that these knowledges implicate in the dynamics of the process of teaching-learning, but not always the teachers take consciousness about these knowledges. The critical and collaborative reflection, mediated by the actions of describing, announcing, facing and reconstructing allowed to the participants of the research to realize the knowledges of themselves and of the other, the difficulties and possibilities in the organization of the teaching-learning process

Sequências de Fibonacci e a Razão Áurea - aplicações no ensino básico

This thesis aims to present a study of the Fibonacci sequence, initiated from a simple problem of rabbits breeding and the Golden Ratio, which originated from a geometrical construction, for applications in basic education. The main idea of the thesis is to present historical records of the occurrence of these concepts in nature and science and their influence on social, cultural and scientific environments. Also, it will be presented the identification and the characterization of the basic properties of these concepts and howthe connection between them occurs,and mainly, their intriguing consequences. It is also shown some activities emphasizing geometric constructions, links to other mathematics areas, curiosities related to these concepts and the analysis of questions present in vestibular (SAT-Scholastic Aptitude Test) and Enem(national high school Exam) in order to show the importance of these themes in basic education, constituting an excellent opportunity to awaken the students to new points of view in the field of science and life, from the presented subject and to promote new ways of thinking mathematics as a transformative science of society.