A matemática do sensível pelas mãos do artesão: marcas da aprendizagem matemática e da cultura material dos ceramistas de Icoaraci

Esta tese aborda a discussão a respeito do raciocínio matemático manifestado no saber/ fazer dos artesãos ceramistas do Distrito Municipal de Icoaraci (Belém/ PA), visando o entendimento cognitivo e cultural desta prática, para abstrair contribuições à educação matemática – área de conhecimento na qual se inscreve, especialmente no âmbito da educação matemática. Trabalhado essa última, a tese analisa a realidade dos sujeitos mediante a Teoria dos Campos Conceituais, do educador matemático Gérard Vergnaud, que desenvolve estudos na linha construtivista, do psicólogo da educação Jean Piaget, possibilitando abordar na prática cotidiana do artesão, seus Campos Conceituais, a possibilidade ou não da existência de teoremas e conceitos-em-ato, fato esse que irá constatar ou não a essência ou „matematicidade‟ dos estudos educacionais matemáticos trabalhados por etnomatemáticos, pedagogos, especialistas de modelagem matemática, sociólogos e arqueólogos matemáticos. A epistemologia da educação matemática, disciplina filosófica, surge norteando esse entendimento sobre o raciocínio matemático, através da matemática do sensível, que acha origens na antiguidade grega, através dos ideários pitagórico, platônico e aristotélico, estendendo essa visão à matemática do mundo presente. Assim, a tese procura explicitar a manifestação de um raciocínio matemático por parte do artesão, que no seu fazer predominantemente não conhece e/ ou não utiliza a matemática acadêmica ou formal, como comprovado em outros estudos. Essa presença ou não de entendimentos matemáticos será constatada através de abordagem etnográfica e qualitativa, sob o enfoque fenomenológico, utilizando técnicas de observação, anotações de campo, inventário cultural e entrevistas, no intuito de analisar as representações existentes em suas obras e o fazer/ pensar manifestados nessa produção.

Técnicas de reforço estrutural para edificações antigas: estudo de caso na cidade de Rio Branco – Acre

Este trabalho visou a demonstrar o dimensionamento e verificação de cálculo da NBR 6118 (ABNT, 2007) com as suas características geométricas, cobrimento da armadura, armaduras, flambagem e a resistência de pilares à compressão centrada dos pilares em concreto armado, apresentando na revisão bibliográfica as principais técnicas de reforço estrutural de pilares de concreto armado para edificações antigas, identificando as principais metodologias e técnicas utilizadas no Brasil e apresentando os pontos positivos e negativos de cada técnica:encamisamento de concreto, perfis metálicos, chapa de aço colado, manta/tecido de carbono, aramida e vidro e polímeros reforçados com fibras de carbono (PRFC). Os pilares com aumento da seção transversal retangular, com adição de armação e concreto, sendo mais usual e prática a técnica apresenta dificuldades em obras antigas, geralmente devido à necessidade arquitetônica de permanecer o mais fiel a sua forma original. Justificando-se a necessidade de conhecimento das diversas técnicas de reforço estrutural descritas neste trabalho com aumento de capacidade de resistência, sem que haja aumento substancial, na seção transversal dos pilares e objetivando a análise do reforço proposto através dos cálculos do projeto, programa – PDOP 2.0 e parâmetros de cálculo da NBR 6118 (ABNT, 2007). Os resultados obtidos através da análise comparativa do reforço executado no estudo de caso “revitalização do casarão” - com relação à análise dos pilares retangulares submetidos à flexão composta oblíqua, esforços cortantes e torsores quanto à NBR 6118 (ABNT, 2007) utilizando o programa para dimensionamento otimizado de pilares – PDOP 2.0 - indicaram que a técnica de reforço estudada foi eficiente, pois todas as peças reforçadas tiveram uma capacidade portante maior que a do pilar original sem o reforço.

Etnobotânica de Leguminosae entre agricultores agroecológicos na Floresta Atlântica, Araponga, Minas Gerais, Brasil

This study describes the richness of Leguminosae used by 21 traditional farmers in coffee agroforestry systems (AFS) and forest fragments of the Atlantic Forest, in the municipality of Araponga, Minas Gerais, Brazil. It also presents the use categories, relative importance and the species similarity between the AFSs. Data were collected through semi-structured interviews and participant observation, between August 2005 and November 2006, directed during random walks in seven AFSs and forest fragments surrounding the State Park of Serra do Brigadeiro. The farmers cited 59 species of Leguminosae, of which 86% are native to the Atlantic Forest and used in ancient cultural practices, such as to make bullock carts. Twelve categories of use were established, among them the most important were fertilizer and firewood (21 spp each); in the AFSs, species used for soil fertilization (18 spp) are the most utilized, and in the forest, the species for firewood and technology (17 spp.) The relative importance index showed that in the forest, Piptadenia gonoacantha showed 83% of agreement for the use as wood for fencing pastures, while in the AFSs, Inga edulis scored 100% as food. The AFSs studied show little similarity of species (0.42 of the Sorensen scale), due to the selection promoted by the farmers, thus, providing room for the conservation of useful species of Leguminosae.

Institucionalização cognitiva e social da Organização e Representação do Conhecimento na Ciência da Informação no Brasil

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Sílabas métricas em Terenciano Mauro, De Syllabis, 997-1299

This monograph addresses to the study of Latin metrical notions and concepts as showed in the volume VI of Heinrich Keil’s work, entitled Grammatici Latini (GL): Scriptores Artis Metricae. From that book, it was chosen Terentianus Maurus’s work for corpus, particularly the excerpt between verses 997 and 1299 of De Syllabis, a part of Terentianus’s De Litteris, De Syllabis, De Metris, which is a metric manual written in verses. Until now, there are only three translations of that text into modern languages: two in Italian (one of them was used for comparison with the translation prepared for this monograph) and a French one. That work still contains many reference notes whenever Terentianus Maurus uses ancient authors to demonstrate his explanations on Metrics. Thus this research intends to join in other analysis made on Latin metrical manuals that have already been translated or are still going to be, as well as to notice the importance and the specific value of meter in ancient poetry

O valor mágico do olhar no capítulo 35 do livro I do 'Opus agriculturae' de Paládio

Blood is one of the most important and powerful elements in magical and religious symbology. As it is an essential substance for animal survival, it does not sound strange that through the ages blood has been given many significant symbolic values (both positive and negative). It can provide life, protection and prosperity in the same proportion that it can cause calamities, destruction and even death. In Opus agriculturae, a farming treatise written by Palladius (V AD), more specifically in Book I, Chapter 35, the author presents prescriptions to protect farms against scourges and climatic phenomena. He mentions some procedures in which blood is a fundamental component in the success of the prescriptions. The aim of the present article is to identify any magic power associated with these practices, their specific symbolic value, especially when related to menstrual blood and to other feminine elements with some magical or religious value. An evaluation is also made of the extent of these symbologies in the context of other practices and situations linked not only to agricultural magic, but to religion and to the ritual practices of other communities, whether in ancient times or not.

A magia em um texto técnico agronômico da antiguidade romana: o 'Opus agriculturae', de Paládio

This work analyses the chapter 35, book I, of the agricultural treatise Opus agriculturæ, written by Rutilius Taurus Aemilianus Palladius (V C.E.). In that chapter the author presents some recipes, called remedia, to protect the farm and the garden against weeds and weather phenomena, as blight and fogs. The magical practices are identified according to both the fundamental principles of magic (similarity, contiguity, contrariety), which rule magical thought, and some elements of magical symbology. As the author seems not to distinguish magic and science, for he brings together both kinds of recipes, the analysis of some remedia emphasizes a specific study on the materials and substances employed in those recipes and their value in Science today. This leads to the discussions of how magical thought works, what are the limits (if they actually exist) between Magic and Science and between Magic and Religion. This work covers the subjects above and it has the following pourposes: demonstrate the characteristics that authorize the remedia described by Palladius to be classified as folk magic; identify the relations between this kind of practice with more complex forms of magic, as with religion, with science; demonstrate the contribution of the folk magic in ancient Rome farming for the formulation of more apropriated criteria of evaluating magic in comparison to religious and scientific thought.

O valor mágico do sangue no capítulo 35 do livro I do 'Opus Agriculturae' , de Paládio

Blood is one of the most important and powerful elements in magical and religious symbology. As it is an essential substance for animal survival, it does not sound strange that through the ages blood has been given many significant symbolic values (both positive and negative). It can provide life, protection and prosperity in the same proportion that it can cause calamities, destruction and even death. In Opus agriculturae, a farming treatise written by Palladius (V AD), more specifically in Book I, Chapter 35, the author presents prescriptions to protect farms against scourges and climatic phenomena. He mentions some procedures in which blood is a fundamental component in the success of the prescriptions. The aim of the present article is to identify any magic power associated with these practices, their specific symbolic value, especially when related to menstrual blood and to other feminine elements with some magical or religious value. An evaluation is also made of the extent of these symbologies in the context of other practices and situations linked not only to agricultural magic, but to religion and to the ritual practices of other communities, whether in ancient times or not.

Geomorfologia e evolução quarternária da calha do Alto Rio Paraná, no segmento livre de barramentos, entre os reservatórios de Porto Primavera e Itaipu

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O livro que divulgou o papiro Rhind no Brasil

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Ecos de Euclides: notas sobre a influência d Os Elementos a partir de algumas doutrinas filosóficas

Based on the study of some philosophical schools – such as the Cartesian Racionalism, the Empiricism of Hume and Kant’s Criticism – and of some brief remarks on Mathematics in ancient world – particularly the greek Mathematics – this paper intends to understand how the euclidean ideas have been taken for a long time as a model of how to geometrize and of what Mathematics is.

Carbon isotope fractionation during calcium carbonate precipitation induced by urease-catalysed hydrolysis of urea

Stable carbon isotopic fractionation during calcium carbonate precipitation induced by urease-catalysed hydrolysis of urea was experimentally investigated in artificial water at a constant temperature of 30 degrees C. Carbon isotope fractionation during urea hydrolysis follows a Rayleigh distillation trend characterized by a C-13-enrichment factor of -20 to -22 parts per thousand. CaCO3 precipitate is up to 17.9 parts per thousand C-13-depleted relative to the urea substrate (-48.9 +/- 0.07 parts per thousand). Initial CaCO3 precipitate forms close to isotopic equilibrium with dissolved inorganic carbon. Subsequent precipitation occurs at -2 to -3 parts per thousand offset from isotopic equilibrium, suggesting that the initial delta C-13 value of CaCO3 is reset through dissolution followed by reprecipitation with urease molecules playing a role in offsetting the delta C-13 value of CaCO3 from isotopic equilibrium. Potentially, this isotopic systematics may provide a tool for the diagnosis of ureolytically-formed carbonate cements used as sealing agent. Moreover, it may serve as a basis to develop a carbon isotope tool for the quantification of ureolytically-induced CO2 sequestration. Finally, it suggests carbon isotope disequilibrium as a hallmark of past enzymatic activity in ancient microbial carbonate formation. (C) 2012 Elsevier B.V. All rights reserved.

Climatic and stratigraphic paleoindicators from the Canary Island

[EN] The last 5 Myr  are characterized by cliamatic variations globally and are reflected in ancient fossiliferous marine deposits visible in the Canary Islands. The fossils contained are identificated as paleoecological and paleoclimatic indicators. The Mio-Pliocene Transit is represented by the coral Siderastrea micoenica Osasco, 1897; the gastropods Rothpletzia rudista Simonelli, 1890; Ancilla glandiformis (Lamarck, 1822); Strombus coronatus Defrance, 1827 and Nerita emiliana Mayer, 1872 and the bivalve Gryphaea virleti Deshayes, 1832 as most characteristic fossils  and typical of a very warm climate and littoral zone. Associated  lava flows  have been dated radiometrically  and provides a range between  8.9 and about 4.2 Kyr. In the mid-Pleistocene, about 400,000 years ago, the called Marine Isotope Stage 11, a strong global warming that caused a sea level rise happens. Remains of the MIS 11  are preserved on the coast of Arucas (Gran Canaria), and associated with a tsunami in Piedra Alta (Lanzarote). These fossilifeorus  deposits contains the bivalve Saccostrea cucullata (Born, 1780), the gastropod Purpurellus gambiensis (Reeve, 1845) and the corals Madracis pharensis (Heller, 1868) and Dendrophyllia cornigera (Lamarck, 1816). Both sites have been dated by K-Ar on pillow lavas (approximately 420,000 years) and by Uranium Series on corals (about 481,000 years) respectively. The upper Pleistocene starts with another strong global warming known as the last interglacial or marine isotope  stage (MIS) 5.5, about 125,000 years ago, which also left marine  fossil deposits exposed in parallel to current in Igueste of San Andrés (Tenerife),  El Altillo, the  city of Las Palmas de Gran Canaria  and Maspalomas (Gran Canaria),  Matas Blancas, the Playitas and Morrojable (Fuerteventura ) and in Playa Blanca and Punta Penedo (Lanzarote ). The fossil coral Siderastrea radians (Pallas , 1766 ) currently living in the Cape Verde Islands , the Gulf of Guinea and the Caribbean has allowed Uranium series dating. The gastropods Strombus bubonius Lamarck, 1822 and Harpa doris (Röding , 1798 ) currently living in the Gulf of Guinea. Current biogeography using synoptic data obtained through satellites provided by the ISS Canary Seas provides data of Ocean Surface Temperature (SST) and Chlorophyll a (Chlor a) . This has allowed the estimation of these sea conditions during interglacials compared to today .

Aspetti innovativi per la valutazione e la misura della porosità nei materiali dell'edilizia antica e moderna. La geometria frattale della porosità

New concepts on porosity appraisal in ancient and modern construction materials. The role of Fractal Geometry on porosity characterization and transport phenomena. This work studied the potential of Fractal Geometry to the characterization of porous materials. Besides the descriptive aspects of the pore size distribution, the fractal dimensions have led to the development of rational relations for the prediction of permeability coefficients to fluid and heat transfer. The research considered natural materials used in historical buildings (rock and earth) as well as currently employed materials as hydraulic cement and technologically advanced materials such as silicon carbide or YSZ ceramics. The experimental results of porosity derived from the techniques of mercury intrusion and from the image analysis. Data elaboration was carried out according to established procedures of Fractal Geometry. It was found that certain classes of materials are clearly fractal and respond to simple patterns such as Sierpinski and Menger models. In several cases, however, the fractal character is not recognised because the microstructure of the material is based on different phases at different dimensional scales, and in consequence the “fractal dimensions” calculated from porosimetric data do not come within the standard range (less than 3). Using different type and numbers of fractal units is possible, however, to obtain “virtual” microstructures that have the fraction of voids and pore size distribution equivalent with the experimental ones for almost any material. Thus it was possible to take the expressions for the permeability and the thermal conduction which does not require empirical “constants”, these expressions have also provided values that are generally in agreement with the experimental available data. More problematic has been the fractal discussion of the geometry of the rupture of the material subjected to mechanical stress both external and internal applied. The results achieved on these issues are qualitative and prone to future studies. Keywords: Materials, Microstructure, Porosity, Fractal Geometry, Permeability, Thermal conduction, Mechanical strength.

Dall'involucro all'invaso. Lo spazio a pianta centrale nell'opera architettonica di Adalberto Libera

An archetype selected over the centuries Adalberto Libera wrote little, showing more inclination to use the project as the only means of verification. This study uses a survey of the project for purely compositional space in relation to the reason that most other returns with continuity and consistency throughout his work. "The fruit of a type selected over centuries", in the words of Libera, is one of the most widely used and repeated spatial archetypes present in the history of architecture, given its nature as defined by a few consolidated elements and precisely defined with characters of geometric precision and absoluteness, the central space is provided, over the course of evolution of architecture, and its construction aspects as well as symbolic, for various uses, from historical period in which it was to coincide with sacred space for excellence, to others in which it lends itself to many different expressive possibilities of a more "secular". The central space was created on assumptions of a constructive character, and the same exact reason has determined the structural changes over the centuries, calling from time to time with advances in technology, the maximum extent possible and the different applications, which almost always have coincided with the reason for the monumental space. But it’s in the Roman world that the reason for the central space is defined from the start of a series of achievements that fix the character in perpetuity. The Pantheon was seen maximum results and, simultaneously, the archetype indispensable, to the point that it becomes difficult to sustain a discussion of the central space that excludes. But the reason the space station has complied, in ancient Rome, just as exemplary, monuments, public spaces or buildings with very different implications. The same Renaissance, on which Wittkower's proving itself once and for all, the nature and interpretation of sacred space station, and thus the symbolic significance of that invaded underlying interpretations related to Humanism, fixing the space-themed drawing it with the study and direct observation by the four-sixteenth-century masters, the ruins that in those years of renewed interest in the classical world, the first big pieces of excavation of ancient Rome brought to light with great surprise of all. Not a case, the choice to investigate the architectural work of Libera through the grounds of the central space. Investigating its projects and achievements, it turns out as the reason invoked particularly evident from the earliest to latest work, crossing-free period of the war which for many authors in different ways, the distinction between one stage and another, or the final miss. The theme and the occasion for Libera always distinct, it is precisely the key through which to investigate her work, to come to discover that the first-in this case the central plan-is the constant underlying all his work, and the second reason that the quota with or at the same time, we will return different each time and always the same Libera, formed on the major works remained from ancient times, and on this building method, means consciously, that the characters of architectural works, if valid, pass the time, and survive the use and function contingent. As for the facts by which to formalize it, they themselves are purely contingent, and therefore available to be transferred from one work to another, from one project to another, using also the loan. Using the same two words-at-issue and it becomes clear now how the theme of this study is the method of Libera and opportunity to the study of the central space in his work. But there is one aspect that, with respect to space a central plan evolves with the progress of the work of Libera on the archetype, and it is the reason behind all the way, just because an area built entirely on reason centric. It 'just the "center" of space that, ultimately, tells us the real progression and the knowledge that over the years has matured and changed in Libera. In the first phase, heavily laden with symbolic superstructure, even if used in a "bribe" from Free-always ill-disposed to sacrifice the idea of architecture to a phantom-center space is just the figure that identifies the icon represents space itself: the cross, the flame or the statue are different representations of the same idea of center built around an icon. The second part of the work of clearing the space station, changed the size of the orders but the demands of patronage, grows and expands the image space centric, celebratory nature that takes and becomes, in a different way, this same symbol . You see, one in all, as the project of "Civiltà Italiana" or symbolic arch are examples of this different attitude. And at the same point of view, you will understand how the two projects formulated on the reuse of the Mausoleum of Augustus is the key to its passage from first to second phase: the Ara Pacis in the second project, making itself the center of the composition "breaks" the pattern of symbolic figure in the center, because it is itself an architecture. And, in doing so, the transition takes place where the building itself-the central space-to become the center of that space that itself creates and determines, by extending the potential and the expressiveness of the enclosure (or cover) that defines the basin centered. In this second series of projects, which will be the apex and the point of "crisis" in the Palazzo dei Congressi all'E42 received and is no longer so, the symbol at the very geometry of space, but space itself and 'action' will be determined within this; action leading a movement, in the case of the Arco simbolico and the "Civiltà Italiana" or, more frequently, or celebration, as in the great Sala dei Recevimenti all’E42, which, in the first project proposal, is represented as a large area populated by people in suits, at a reception, in fact. In other words, in this second phase, the architecture is no longer a mere container, but it represents the shape of space, representing that which "contains". In the next step-determining the knowledge from which mature in their transition to post-war-is one step that radically changes the way centric space, although formally and compositionally Libera continues the work on the same elements, compounds and relationships in a different way . In this last phase Freedom, center, puts the man in human beings, in the two previous phases, and in a latent, were already at the center of the composition, even if relegated to the role of spectators in the first period, or of supporting actors in the second, now the heart of space. And it’s, as we shall see, the very form of being together in the form of "assembly", in its different shades (up to that sacred) to determine the shape of space, and how to relate the parts that combine to form it. The reconstruction of the birth, evolution and development of the central space of the ground in Libera, was born on the study of the monuments of ancient Rome, intersected on fifty years of recent history, honed on the constancy of a method and practice of a lifetime, becomes itself, Therefore, a project, employing the same mechanisms adopted by Libera; the decomposition and recomposition, research synthesis and unity of form, are in fact the structure of this research work. The road taken by Libera is a lesson in clarity and rationality, above all, and this work would uncover at least a fragment.