Elaboração de atividades didáticas para o ensino de matemática a partir de livros antigos: o exemplo do leçons élémentaires de Lagrange

De nombreuses études sur l`utilisation pédagogique de l`histoire des mathématiques viennent a identifier les arguments qui sous-tiennent ces actions éducatives comme une façon d`aborder les mathématiques scolaires afin de mener les élèves à un apprentissage réflexif et significatif des mathématiques. Cherchant a vérifier, de manière pratique, comment ces relations entre histoire des mathématiques et l`enseignement des mathématiques peuvent se matérialiser sous la forme d`activités didactiques, nous avons effectué un sondage sur les oeuvres du mathématicien Joseph Louis Lagrange (1736-1813) et identifié le potentiel d`exploration éducatif, de l`oeuvre Leçons élémentaires sur les mathématiques données a l`École Normale en 1795, de cet mathématicien. L`objectif principal de notre étude était de faire des recherches sur le potentiel d`une oeuvre antique dédié à l`enseignement des mathématiques et de la considérer comme support conceptuel et didactique pour la création d`un modèle d`activités didactiques pour l`enseignement des mathématiques, dans la formation des enseignants de mathématiques et aussi en ce qui concerne l`apprentissage des mathématiques des élèves de l`école primaire. Nous avons fait une lecture, la traduction et l`ajout de notes et commentaires sur le travail et une recherche bibliographique sur la relation entre l`histoire des mathématiques et l`enseignement des mathématiques, de façon a comprendre les aspects conceptuels et didactiques pour l`élaboration d`um module activités didactiques pour l`enseignement des mathématiques basée sur certains chapitres du livre de Lagrange. À cette fin, l`oeuvre a été utilisé comme source primaire et a été étudié sous un fondement théorique appuyer sur les travaux des Institut de recherche sur l`enseignement des mathématiques IREM. Dans le module élaboré, les activités apportent les contenus dans une suite integrée à une logique de classe, à partir de la lecture directe des découpages du texte original, disposés entre les questions et les situations-problémes , historiquement mis en contexte avec la période et associés à des contenus spécifiques. Comme il s`agit d`une recherche basée sur l`exploitation de livres anciens, nous croyons que des modules d`activités basées sur des source primaires peuvent être utilisées comme un matériel pédagogique pour la formation des enseignants de mathématiques ainsi que pour les dernières années de l`école élémentaire, reformulées ou accrues d`autres questions telles l`intérêt de chaque enseignant qui l`utilise

Medicina filosófica: as relações entre medicina e filosofia na Grécia antiga e em Kant

This work deals with the relationship between medicine and philosophy, which has existed since Antiquity, and will also be discussed here from Kant s perspective. It presents the historical context formed by reciprocal influences of common notions regarding health/disease, balance/justice, and just measure, which are present in the medical discourse as much as in the philosophical one. It considers that Hippocratic medicine emerges from concerns about dietetics, thus creating the link between philosophy and medicine, which is important for our analysis on Kant s contributions to Hippocratic legacy. Taking into account these considerations, the work distinguishes between two aspects which are associated within the dietetics presented by Kant in his work The conflict of the faculties, studied here in the light of his Doctrine of virtue, particularly the duties to oneself in regard the care of one s body and the teleological conception. In this sense, the work indicates the role of Kantian thinking not only to enrich medical dietetics, by lending to it moral value, but also to enrich philosophy by highlighting its therapeutic effects

A festa da urbe e o nascimento da cidade: A Cidade Antiga como prelúdio da modernidade

This work is a result of an research that aims to understand in which way the work The Ancient City of the French historian Fustel de Coulanges built a moral model for the institutions and for the construction of the French territory in the century XIX understood like The Modern City . Our intention is to present a study on the way like the ancient city it was built, when nationalist of century XIX is taking into account his connections with the space reforms and the discussion in France. In this sense, we go besides the works of the historiography of the century XIX on this subject and of the articles and tests of the beginning of the century XX, when urbanity planner tied the narrative Scientifics of Fustel with the discussion in France of this period and his contribution, through this connection between history and space, with the national education of the individuals and the formation of the French identity. In this way, we understand which History, Nation and Space were the bases of sustenance of the theory of Coulanges about The Ancient City and of the formation of the French territory. Besides, the discussion historiography between Frenchmen and Germans on the origins of his respective nations influenced Coulanges the perspective of narrating a history of the Antiquity, taking into account the cultural approach of the past and the modern Institutions

...Em busca da realidade... : a experiência da etnicidade dos Eleotérios (Catu/RN)

The south region of the Rio Grande do Norte has been historically recognized as a place of old indian villages. Inhabitants of the edges of the Catu River, border between the cities of Canguaretama and Goianinha, the Eleotérios in the threshold of 21st century had passed to be seen and self recognized as "remaining indians" of the RN. Their ethnic mobilizations, when becoming public had placed to the intellectual and political fields an old question to be reflected on: the asseverations concerning the "indian disappearing" in the State. This item brings with it other implications. Accessed by a para-oficial indigenism, the Eleotérios had started to establish political relations with the Potiguara indians of the Baía da Traição/PB and the Indian Movement, feeling stimulated to produce and to reproduce forms of social differentiation. In this context, this research is worried about elucidating the process of construction of the ethnicity among the Eleotérios, percepted from the social relations and politics kept with the amplest society, into a particular historical situation involving sugar cane fields owners, proprietaries, militants, researchers, ambiental agencies. The effects of these political and social relations had been extended, making Eleotérios appear to the society as susceptible social actors to the specific policies for the aboriginal populations

A cultura de índio, seu menino, vem de longe aqui : formação histórica e territorialização dos Tremembé/CE

This dissertation is based on the ethnography of a strategic selection of three Tremembé ethnic situations, which are situated in the backlands of Acaraú and Itarema, municipalities located in Ceará State (Northeast Brazil). My main aims are the following. Firstly, I reconstitute the historical and social formation of three localities, called Lagoa dos Negros, Telhas, and Queimadas, related to a particular origin myth which refers to Almofala, an extinct colonial Aldeamento in the seashore, where the Tremembé indians and other native populations were converted and gathered under missionary administration. According to the origin myth, these three localities were set up after a strong drought which happened in 1888 (the so called three eights) when a group of Tremembé families moved to the countryside and established close to the Lagoa dos Negros and, later on, they were segmented into smaller groups which started to live in other areas and places not far from the former location. Notably, I develop an anthropological approach to understand the historical formation of these three localities. Secondly, I analyze some processes of territorialization, which were emerged from the 1980s and had important consequences to these indigenous families throughout the next two decades. This historical dimension is re-appropriated and ressignified in ethnic terms. A third point of my work is the analysis of the construction of territorialities and also the cultural and symbolic dimensions which are formulated by the Tremembé Indians who live in these localities. Therefore, I investigate some cultural traditions and rituals, such as the Torém dance, but I also examine their multiple semantics, which constitute a transversal direction throughout the history understood by the Tremembé of the different social situations I researched. To sum up, there is a process of cultural actualization, which is still going on and presents itself through the ludic sphere as well as their political and religions dimensions, which are usually associated to the ritual presentation of the Torém

Povoações, freguesias e vilas na Paraíba Colonial: Pombal e Sousa, 1697-1800

The towns presently named Pombal and Sousa, located in the hinterland of the State of Paraíba, Brazil, still keep vestiges of the colonization process they went through along the 18th and 19th centuries, when they both emerged as settlement nuclei in the extreme West of the then captaincy of Paraíba and attained the status of freguesia and vila in a later period. This research aims to comprehend the process of urban formation and development of the colonial urban nuclei of Pombal and Sousa as they became povoados (hamlets), freguesias (parishes) and vilas (small urban communities with a local government), according to territorial expansion policies implemented by the Portuguese government from 1697 to 1800. The choice of the two urban settlements for this survey lies in the fact that they were part of the great conquest and colonization program undertaken by the Portuguese Crown. Another aspect that was considered was the fact that those towns are the oldest urban nuclei of Paraíba s hinterland. They came into being as early as in the times of the colony, thus producing a favorable environment to the study of the changes that occurred in the captaincy s hinterland scenery resulting from the process of formation and development of the colonial urban space. Three fundamental categories of analysis were defined since they have a direct bearing upon the urban configuration of the two colonization nuclei: povoado, freguesia and vila. The three of them are related to civil and ecclesiastic jurisdictions. Field, documentation and bibliography surveys were undertaken in order to develop the study. They allowed for the finding of vestiges of the old, colonial urban structures and for the development of theoretical analysis based on present-day studies of issues relating to the colonial urban history. The study purposes were, therefore, to try to understand how the old urban nuclei of Pombal and Sousa fit in the territorial expansion policies undertaken by the Portuguese government; to relate the process of urban formation and development of such nuclei with the categories of analysis povoação-freguesia-vila by discussing the relations and influences they exert over one another and their territory, as well as to unveil, as much as possible, the configuration the urban spaces that were shaped along the 18th century

Estudo comparativo de dois tipos de cultivo: monocultivo (camarões) versus cultivo integrado (algas/camarões)

The integrated culture of seaweed and aquatic animals is an ancient practice in Asian countries. The expansion of this practice to western countries is consequence of the recognition of this system as a sustainable alternative that allows economical diversification and mitigation of environmental impacts generated by effluents of aquaculture. This study evaluated the growth of the seaweed Gracilaria caudata and of the shrimp Litopenaeus vannamei in monoculture (shrimps) and integrated culture (shrimps and algae) systems, and accessed the effect of the seaweed in the water quality. There were two treatments in the experiment: monoculture (shrimps) and integrated culture (shrimps/ algae). The organisms were cultured in 6 aquaria (10L) filled with seawater (35.0±0.0 PSU and 28.1±0.4°C) for 28 days. The nutrients of water (PO43-, NH4+, NO2-, NO3- and DIN), the biomass and the relative growth rate (RGR, % day-1) of seaweed and shrimps were measured weekly. The parameters pH, temperature, salinity and dissolved oxygen were measured daily. The concentration of NH4+ in integrated culture (62.8±25.2µM) was lower (Mann-Whitney p<0.001) than in monoculture (85.6±24.3µM). The mean of PO4- in monoculture (10.4±4.6µM) was markedly higher (Mann-Whitney; p=0.024) than that in integrated culture (8.7±4.1µM). The level of dissolved oxygen in integrated culture (6.0±0.6mg/L) was higher (t-Student; P=0.014) than that in shrimp monoculture (5.8±0.6mg/L). The mean values of the parameters pH, NO2-, NO3- and DIN were 7.5±0.2, 10.1±12.2µM, 24.5±3.2µM and 120.17±30.76µM in monoculture, and 7.5±0.2, 10.5±13.2µM, 27.4±3.5µM and 100.76±49.59µM in integrated culture. There were not differences in these parameters between treatments. The biomass and RGR of seaweed reached 15.0±1.9g and 7.4±2.8% day-1 at the end of the experiment. The performance of shrimp was favorable in monoculture (1.5±0.8g; 5.7±1.6% dia-1) and in integrated culture (1.5±0.7g; 5.2±1.2% dia-1), and the rate of survival was 100% in both treatments. The tolerance and favorable performance of Gracilaria caudata suggest that this seaweed might be integrated into shrimp (Litopenaeus vannamei) culture systems

Estudo da incorporação da cal em composições binárias de solo-cimento para produção de tijolos maciços

The use of binders in the soil for the production of solid bricks is an old construction technique that has been used by several civilizations over time. At the same time, the need for environmental preservation and the tendency of scarcity of natural resources make the construction invest in researching new concepts, methods and materials for building systems for the sustainability of their economic activities. Thus arises the need to obtain building materials with low power consumption, capable of reducing the growing housing shortage of rural and urban population. Currently, research has been conducted on this topic to better understand the cementitious and pozzolanic reactions that occur in the formation of the microstructure of the soil-cement when added to other materials such as, for example, lime, and the relationship between microstructure and formed interfaces with the physical, mechanical and chemical analysis in compounds made from these ternary compositions. In this context, this study aimed to analyze the results of the influence of the incorporation of lime to the soil-cement to form a ternary mixture to produce soil-cement bricks and mortar without structural purposes. From the inclusion of contents of 6 %, 8 %, 10% and 12% lime to the soil, and soil-cement mixes in amounts of 2 %, 3 %, 4 % and 5 % were shaped-bodies of -cylindrical specimens to determine the optimum moisture content and maximum dry apparent specific weight. Then they were cured, and subjected to the tests of compressive strength, absorption and durability modified. Compositions obtained the best results in the tests performed on the bodies-of-proof cylindrical served as a parameter for molding of solid bricks, which underwent the same experimental methodology previously cited. The raw materials used, as well as compositions in which the bricks were molded solid, were characterized by physical and chemical tests, X-ray diffraction and scanning electron microscopy. The results obtained in the study indicate that the compositions studied, that showed the best results in terms of compressive strength, water absorption and durability ternary composition was soil, 10 % cement and 2 % lime

Predição não-linear de curvas de produção de petróleo via redes neurais recursivas

One of the main activities in the petroleum engineering is to estimate the oil production in the existing oil reserves. The calculation of these reserves is crucial to determine the economical feasibility of your explotation. Currently, the petroleum industry is facing problems to analyze production due to the exponentially increasing amount of data provided by the production facilities. Conventional reservoir modeling techniques like numerical reservoir simulation and visualization were well developed and are available. This work proposes intelligent methods, like artificial neural networks, to predict the oil production and compare the results with the ones obtained by the numerical simulation, method quite a lot used in the practice to realization of the oil production prediction behavior. The artificial neural networks will be used due your learning, adaptation and interpolation capabilities

ANÁLISE COMPARATIVA DO CONHECIMENTO, ATITUDES E PRECONCEITOS DE UNIVERSITÁRIOS DOS CURSOS DE PEDAGOGIA, EDUCAÇÃO FÍSICA E MEDICINA EM RELAÇÃO À EPILEPSIA

Epilepsy is a chronic disorder of the central nervous system, most frequently characterized by abnormal electrical impulses in the brain. It is the oldest recorded neurological disease and has been surrounded by myths, mistaken beliefs and preconceptions. Three professionals work with epileptic patients on a daily basis: teachers, physical educators and physicians . This study aimed to analyze and compare the level of knowledge, preconceptions and attitudes of undergraduate students in the courses of Pedagogy, Physical Education and Medicine, future professionals who will deal with epileptic patients. This descriptive observational study was conducted with 286 university undergraduates of both sexes (women 99/34.6% and men 187/65.4%) from the first to fourth year of Pedagogy, Physical Education and Medicine courses at the Universidade Estadual Rio Grande do Norte (UERN), with mean age of 23 years. A validated and adapted 17-question questionnaire, divided into nine knowledge-based questions, five related to preconceptions and three on attitudes, was applied. Results allowed elaboration of a manuscript entitled Comparative Analysis of Knowledge, Attitude and Preconceptions in University Undergraduates of Pedagogy, Physical Education and Medicine Courses in Relation to Epilepsy. The findings of this article show that knowledge of epilepsy in the three groups is very satisfactory. The low level of preconception indicates that educational or clarifying information is being transmitted, albeit by television, a layman s information vehicle, which has undoubtedly contributed to reducing the stigma of epilepsy through educational information. Results also suggest a lack of knowledge on how to act during a seizure, especially in education professionals. Although there are limitations in our sample, the relevance and contribution of this study is to call attention to the importance and need for these future professionals to be informed and learn correct attitudes with respect to epilepsy during their academic formation. This is essential at a time when the disease is being brought out of the shadows. This research was supported by the Office of the Dean of Teaching, and Deans of Pedagogy, Physical Education and Medicine at UERN. The research was made possible by the multidisciplinary interaction among a physical educator, child neurologist and statistician, all contributing to achieving the aims set out here

Ensino de matemática, história da matemática e artefatos: Possibilidade de interligar saberes em cursos de formação de professores da Educação Infantil e anos iniciais do Ensino Fundamental.

This work is located at the shield of research that defends the use of Mathematics History, based on the utilization of historical artifacts at teaching activities, at Mathematics classrooms, and at graduation courses for teachers of Elementary School and of the first grades of High School. The general objective is to examine the possibility of the use of historical artifacts, at teaching activities, at graduation courses for teachers of Elementary School and of the first grades of High School. Artifact, at this work, is comprehended as objects, documents, monuments, images and other kinds of materials that make sense to the Human actions at the past and that represent what have been said and done at the Human history. At the construction of the theoretical-methodological way of the research we have based ourselves upon the ideas of the authors that are engaged at the teachers formation; at researchers adherents to the use of Mathematics History (MH) as a methodological resource, and at studies accomplished that elucidate the role of the artifacts at the history and as a mediatory element of learning. We defend the thesis that the utilization of historical artifacts at teaching activities enables the increasing of the knowledge, the development of competencies and essential abilities to the teacher acting, as well as interact at different areas of the knowledge, that provides a conception of formation where the teacher improves his learning, learning-doing and learning-being. We have adopted a qualitative research approach with a theoretical and pratic study disposition about the elements that contribute to the teachers works at the classroom, emphasizing the role of the Mathematics history at the teacher s formation and as a pedagogical resource at the mathematics classroom; the knowledge, the competencies and abilities of the historical artifacts as an integrative link between the different areas of the knowledge. As result, we emphasize that the proposition of using the MH, through learning activities, at the course of teacher graduation is relevant, because it allows the investigation of ideas that originate the knowledge generated at every social context, considering the contribution of the social and cultural, political and economical aspects at this construction, making easy the dialog among the areas and inside of each one The historical artifact represents a research source that can be deciphered, comprehended, questioned, extracting from it information about knowledge of the past, trace and vestiges of the culture when it was created, consisting of a testimony of a period. These aspects grant to it consideration to be explored as a mediatory element of the learning. The artifacts incorporated at teaching activities of the graduation courses for teachers promote changes on the view about the Mathematics teaching, in view of to privilege the active participation of the student at the construction of his knowledge, at the reflection about the action that has been accomplished, promoting stimulus so the teachers can create their own artifacts, and offer, either, traces linking the Mathematics with others knowledge areas.

Escafandristas do tempo: narrativas de vida e regeneração da memória em São Rafael-RN

In the late 1970s, the semi-arid region of Rio Grande do Norte was the setting of Projeto Baixo-Açu whose highlight was the building of the dam Eng. Armando Ribeiro Gonçalves, designed to collect 2.4 billion cubic meters of water. Presumably, such an initiative would bring economic and social development for thousands of potiguares who suffered the hardships of drought. However, the dam would reach several cities in the region, reaching to cover one of them: São Rafael. As a result, the early years of the 1980s, nearby, a new town was built by DNOCS. This thesis aims to discuss how the population of São Rafael recalls this fact and reconstructs its history by speaking, writing and computing, after three decades. Based on the prospect moriniana method as a strategy, visits were made to the city of São Rafael and open interviews (individual and collective) with two groups of subjects: one composed of those who lived in their ancient homeland, and another, with young people who were born in the new city. Besides the reports of these subjects, they were observed the visual narratives presented by images, mostly photographic, available on a profile created for the city in the orkut social network. As sources for this study, they were also considered the dialogues between rafaelenses accessing the above profile. Having as a central observation by Edgar Morin about what does not regenerate, degenerates . This study is the central argument that the idea of orkut has performed, today, a dual and interdependent role: being a tool that promotes a collective intelligence through cooperation, exchange of ideas and reconstitution of visual and written narratives. Far from a frozen conception in a historical perspective, it has defended the thesis that orkut has regenerated, repaired, reproduced, restored, reorganized and renewed the memory and history of a city that has succumbed to the immensity of the waters of a dam for almost thirty years

Um estudo sobre a apreciação do raciocínio matemático na formação inicial de professores

The present work focused on developing teaching activities that would provide to the student in initial teacher training, improving the ability of mathematical reasoning and hence a greater appreciation of the concepts related to the golden section, the irrational numbers, and the incommensurability the demonstration from the reduction to the nonsensical. This survey is classified itself as a field one which data collection were inserted within a quantitative and qualitative approach. Acted in this research, two classes in initial teacher training. These were teachers and employees of public schools and local governments, living in the capital, in Natal Metropolitan Region - and within the country. The empirical part of the research took place in Pedagogy and Mathematics courses, IFESP in Natal - RN. The theoretical and methodological way construction aimed to present a teaching situation, based on history, involving mathematics and architecture, derived from a concrete context - Andrea Palladio s Villa Emo. Focused discussions on current studies of Rachel Fletcher stating that the architect used the golden section in this village construction. As a result, it was observed that the proposal to conduct a study on the mathematical reasoning assessment provided, in teaching and activity sequences, several theoretical and practical reflections. These applications, together with four sessions of study in the classroom, turned on to a mathematical thinking organization capable to develop in academic students, the investigative and logical reasoning and mathematical proof. By bringing ancient Greece and Andrea Palladio s aspects of the mathematics, in teaching activities for teachers and future teachers of basic education, it was promoted on them, an improvement in mathematical reasoning ability. Therefore, this work came from concerns as opportunity to the surveyed students, thinking mathematically. In fact, one of the most famous irrational, the golden section, was defined by a certain geometric construction, which is reflected by the Greek phrase (the name "golden section" becomes quite later) used to describe the same: division of a segment - on average and extreme right. Later, the golden section was once considered a standard of beauty in the arts. This is reflected in how to treat the statement questioning by current Palladio s scholars, regarding the use of the golden section in their architectural designs, in our case, in Villa Emo

A organização do dots em um distrito sanitário de Natal/RN, 2009

Tuberculosis is an ancient disease that remains a serious problem of Public Health, requiring a pressing attention. Advances in the knowledge and technology available to control it has not been sufficient to significantly impact on morbidity and mortality, especially in developing countries. To enable patient compliance with TB treatment, preventing the abandonment of this to ensure the correct use of medicines has been suggested the DOTS (Directly Observed Treatment - Short course) or directly Observable Short Course Treatment. This study focuses on the incorporation of two technical components of the DOTS strategy at the Family Health, namely, active search for respiratoy symptoms and Supervisioned Treatment (ST). The West Sanitary District was considered best suited to be the focus of study because it is assumed that those sites that were better structured would provide better information about the situation of the strategy in the municipality. Its purpose is to analyze the organization of DOTS as the active search for respiratory symptoms and Directly Observed Therapy in Health Teams Family belonging to a Health District in the city of Natal, Brazil. An exploratory descriptive study with a quantitative approach which involved health professionals from 11 units of Family Health, West Sanitary District, Natal, Rio Grande do Norte. We interviewed 62 professionals on the professional category, their involvement in the DOTS strategy, managers' contributions to the sustainability of the strategy, actions Search for symptomatic diagnosis and supervised treatment of TB cases and difficulties and facilities for the sustainability of the DOTS strategy. It is concluded that the actions taken by the professionals of the FHS West Health District are organized in more supervised treatment, a fact noted in their perceptions about DOTS

Algoritmos para o problema de localização de uma facilidade com distâncias limitadas e restrições de atendimento

The objective in the facility location problem with limited distances is to minimize the sum of distance functions from the facility to the customers, but with a limit on each distance, after which the corresponding function becomes constant. The problem has applications in situations where the service provided by the facility is insensitive after a given threshold distance (eg. fire station location). In this work, we propose a global optimization algorithm for the case in which there are lower and upper limits on the numbers of customers that can be served