História para "ver" e entender o passado: cinema e livro didático no espaço escolar (2000-2008)

This study aims to diagnose and analyze the use of film in school space, more precisely, in the teaching of history, from the theoretical perspective of the German historian Jörn Rüsen and thus try to observe together with the assumptions of the Didactics of History elements such as public uses that are made for cinema history. In this sense, research propositions movies found in textbooks of history, paths to offer insights about the impacts caused by learning the historical film narrative, this being a learning also occurs in everyday life of students and not just in school space. For both, the textbooks present in Memorial do Programa Nacional do Livro Didático (PNLD), approved in the following editions PNLD/2005 and PNLD/2008 were used. To perform this diagnostic use, in addition to books, the Call Notices and Guides Textbook PNLD as a way to understand how to perform the theoretical and methodological discussions and recommendations about the potential of cinematic narrative for history lessons and these possible approaches to the theory of history.

Correspondências científicas como uma relação didática entre história e ensino de matemática: o exemplo das cartas de Euler a uma princesa da Alemanha

Lettres àune Princesse d'Allemagne sur divers sujets de physique et de philosophie (Letters to a Princess of Germany on various topics of physics and philosophy) is the work taken as an object of study of this thesis. It is a literary success written in the eighteenth century by the Swiss mathematician and physicist Leonhard Paul Euler (1707-1783) in order to meet a request from the Prussian king, Frederick II, the Great (1712-1786) to accept to guide the intellectual education of his niece, the young princess Anhalt-Dessau (1745-1808). The method of teaching and learning through letters elected to the education of the German monarch resulted in a collection of 234 matches in which Euler theory is about music, Philosophy, Mechanics, Optics, Astronomy, Theology and Ethics among others. The research seeks to point out mathematical content contained in this reference work based on the exploitation and adaptation of original historical works as an articulator of development activities for teaching mathematics in basic education and in accordance with the National Curriculum Parameters of Mathematics (NCP) work. The general objective point out the limits and didactic potential of Lettres à une Princesse d'Allemagne sur divers sujets de physique et de philosophie as a source of support for teachers of basic education in developing activities for teaching mathematics. The discussions raised point to concrete possibilities of entanglement between the extracted mathematical content of the bulge of the work with current teaching methodologies from resizing the use of letters according to Freire's pedagogical perspective of the correspondence, and especially the use of new communication channels in the century XXI, both aimed at dialogue and approximation between those who write and those who read.

Ensinar e aprender História na relação dialética entre interpretação e consciência histórica crítica

Teaching and learning History in dialectical relationship between interpretation and critical historical awareness has investigated the triggering of a theoretical-practical training process developed with a history teacher, her mediation in the teaching and learning of the discipline process, related to the appropriation of history text interpretation and the development of critical historical consciousness by public school 8 th-grade students of elementary level. It aims to analyze the relationship between mediation of teaching activity and ownership by the student on this level, the interpretation of history texts and development of this consciousness. It has been opted for collaborative research, as training and strategy, and was employed as procedures for the formation of knowledge: Meeting, Cycles of Reflexive Studies, Planning (with teachers), Observation performed in real life and portfolio (involving students). The teacher appropriated of contributions of the theory by P. Ya . Galperin and critical historical consciousness and developed a teaching process using a methodology grounded in theoretical constructs this author. The students appropriated the interpretation of history texts and demonstrated to be in a process of developing a critical historical consciousness. Performance of the students occurred more consistently in the interpretations implemented in groups, with teacher guidance and support of the activity map. Training processes, performed in and about teaching and student activities, revealed an improvement in teacher's professional development and the knowledge and expertise of the students. It has contributed to this, the critical reflection experienced in the investigative process. Given these findings, as needs of new thinking, research recommends the development of teaching and learning processes in other years of elementary school, involving the interpretation of history texts and the development of critical historical consciousness of students.

História da matemática na formação de professores: sistemas de numeração antigos

This essay aims to present and describe a proposal of insertion of Mathematics History into teachers undergraduation. Such addition proposal is expected to take place as curricular component to be taught on initial undergraduation for mathematics teachers. The selection of contents for the proposal has been based on the national Curriculum Guidelines (DCN, 2001, acronym in portugueses) for bachelor’s degree in Mathematics; the National Curricular Guidelines for Elementary School (PCNEF, 1998, acronym in Portuguese); and the National Curricular Guidelines for High School (PCNEM, 1999, acronym in Portuguese). The curricular component now presented is supposed to take a 60 hour workload, and includes the following topics: History of Ancient Numbering Systems, History of Trigonometriy and History of fuctions. For the sake of exemplification, the topic History of Ancient Numbering Systems is discussed and analysed in detail as practice for the new curricular component.