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.

O agrominerador familiar “Por detrás da Serra” de Parelhas, Seridó do Rio Grande do Norte

Unfavorable climatic conditions to family farming associated to the legal difficulty of retirement for workers who work exclusively in mining are indications provided by previous papers on this topic and guiding of such joint activities in a group that we have decided to call “agromineradores”, who are located “Behind de mountain” of Princess at Parelhas, Seridó do RN. However, in addition to these aspects, the research provides comprehensive analysis and thorough examination of other factors that link these families to such labor association. The theories of Habitus, field and trajectory from Pierre Bourdieu as well as the concept of institutions from Geoffrey Hodgson are central in this paper to explain the inclusion of these part-time farmers in an institutional environment shaped by social structures that influence in the choices of individual and collective behavior and leading to the relevance of the power structures within and outside the family, along with the role of public policies directed to family farmers and miners. The data analyzed showed that there is a crystallized structure that manifests themselves for years in this field, proving the link that exists between these agents and institutions that surround them in the composition of behaviors and routinizing of practices.