Uma justificava da validade do teorema fundamental da álgebra para o ensino médio

Among several theorems which are taught in basic education some of them can be proved in the classroom and others do not, because the degree of difficulty of its formal proof. A classic example is the Fundamental Theorem of Algebra which is not proved, it is necessary higher-level knowledge in mathematics. In this paper, we justify the validity of this theorem intuitively using the software Geogebra. And, based on [2] we will present a clear formal proof of this theorem that is addressed to school teachers and undergraduate students in mathematics

A relação de Euler para poliedros

In this paper we analyze the Euler Relation generally using as a means to visualize the fundamental idea presented manipulation of concrete materials, so that there is greater ease of understanding of the content, expanding learning for secondary students and even fundamental. The study is an introduction to the topic and leads the reader to understand that the notorious Euler Relation if inadequately presented, is not sufficient to establish the existence of a polyhedron. For analyzing some examples, the text inserts the idea of doubt, showing cases where it is not fit enough numbers to validate the Euler Relation. The research also highlights a theorem certainly unfamiliar to many students and teachers to research the polyhedra, presenting some very simple inequalities relating the amounts of edges, vertices and faces of any convex polyhedron, which clearly specifies the conditions and sufficient necessary for us to see, without the need of viewing the existence of the solid screen. And so we can see various polyhedra and facilitate understanding of what we are exposed, we will use Geogebra, dynamic application that combines mathematical concepts of algebra and geometry and can be found through the link http://www.geogebra.org

Equações de segundo grau e mudança de variáveis

In this work are presented, as a review and in a historical context, the most used methods to solve quadratic equations. It is also shown the simplest type of change of variables, namely: x = Ay + B where A;B 2 R, and some changes of variables that were used to solve quadratic equations throughout history. Finally, a change of variable, which has been used by the author in the classroom as an alternative method, is presented and the result of this methodoly is illustrated by the responses of a test that was done by the students in classroom

Natal Condomínio Clube : inovação espacial nos eixos de valorização da zona sul da cidade

This dissertation is about new real estate development in the southward expansion area in Natal, Brazil, by use of high-rise condos, so-called club-condominiums. The area includes part of the neighboring municipality, Parnamirim, and focuses on the role played by urban developers in the housing market. The main feature in these condos are common areas filled with leisure equipments, allegedly to grant quality of life, comfort and tranquility to residents. The rapid development of the area takes advantage of large plots of land available as well as of urban infrastructure. Overall preference of middle-class sectors for the South area of Natal (and adjoining part of Parnamirim) is also a factor worth of note. For this reason, this part of the city constitutes one of the preferred areas of urban developers. This dissertation includes a discussion of Henri Lefebvre s production of space, emphasizing its tridimensional features. It draws on David Harvey s works to deal with transformations of the built environment regarding the dynamics of real estate markets; in particular, it considers the idea of creative destruction. Finally, the dissertation discusses the concepts developed by Pedro Abramo regarding the forms of operation by urban entrepreneurs, in particular the concepts of urban convention and spatial innovation. For the empirical work, a number of interviews with key entrepreneurs and civil servants were undertaken. In more general terms, it is worth observing that there is a direct relationship between the location of such developments and the process of spatial fragmentation, seen both as a consequence and a strategy of the way urban developers operate

As dunas eólicas de Natal/RN: datação e evolução

The main purpose of this study is to present complementary information on eolian systems that occur in the Center-South portion of the city of Natal, Rio Grande do Norte State, Brazil. The investigation focused on the identification of eolian units, absolute luminescence dating of eolian sediments, to geophysical analysis by Ground Penetrating Radar (GPR), as well as qualitative identification of the use and terrain occupation in the study area. A map was elaborated in order to separate eolian geological units, and describe their deposicional and erosional characteristics, by aerial photo-interpretation. The study lead to the identification of six main units: Unit I - Blowouts (BW), Unit II - Active dunes field (DA), Unit III - Fixed dunes field (DF), Unit IV - Parabolic dunes field (DP), Unit V - Red parabolic dunes field (DV) and Unit VI - Devastated dunes surface (SD). Were analised by Termoluminescense (TL) Method Eight samples from units I, III, IV and V. The largest number of samples with similar or close resulted yielded ages about 15,000 years. Two GPR profiles were obtained in areas of the Dunes Park, near the "Natal s Conventions Center". Results showed the migration a new dune generation over on older one, the geologic contact between dunes and the Formação Barreiras (FB), and the groundwater level inside the dune unit. The qualitative study on the use and terrain occupation of the soil in some dunes fields in the study area, it was possible identify some use and occupation, as the following ones: the construction of residential and commercial buildings, dunes fields cutted for construction to access road and garbage deposition

Estudo evolutivo das condições ambientais da região costeira do município de Guamaré - RN

The work concerns on the evolutionary study of the environmental conditions of the coastal area of Guamaré-RN, where was investigated the geo-environmental transformation occourred in this region, whose primordial purpose was to diagnose the changes verified in the temporary space of five decades (1950 to 2001). With the objective of evaluanting the action of the active coastal processes (currents, waves, tides and winds), in order to understand the generating mechanisms of the erosion/sedimentation, evidenced by constant morphologic changes. The adopted methodological procedure consisted of a succession of stages, involving bibliographical and cartographic study, aereal photographs study, digital treatment of images, field work (sample collection, beaches profiles, characterization of the beach environment and morfodynamics), mapping correction and laboratory analyses (granulometry). The evolutionary study of the morphologic features indicated significant variations in the studied period, mainly, in the dunes, sea terraces, variation of the shore line and tidal flat, evidencing the largest transformations in the temporary space between 1988 and 2001. The analyses of the beach profiles showed a sedimentation tendency in the area of the profiles P1, P2 and P3, however in the monitored pediod, it was observed in the referred profiles, erosive and depositionals intervals evidencing a need of more effective monitoring. The results of the granulometric analyses indicate a predominance of mean to coarse sand in the backshore and estirancy area, as in the shoreface, the analyses indicated medium to fine sand. The morfodynamic state, showed that beach of Minhoto is intermediate state, with alternancy to reflective. The areas of larger vulnerability and sensibility are the tidal flat, shore line, barrier island and mobile dunes, that actually is suffering great environmental impact with expansion of the carcinoculture, urban presence and natural impacts (erosion of the shoreline)

O uso da representação cartográfica e a cartofobia: analisando a prática e a formação inicial docente na Geografia do ensino público em Teresina-PI

This word has objective to analyzer the relevance of the use of the cartographic representations, in the constructions of the geographical knowledge, during the process of the teaching-learning in the classes of the Geographic of the High School, drawing liam with the formation docent of the regulars courses of teacher training in the regular courses of Degree in Geography. Delimit is the area of empiric search to College State Zacarias de Goes (CEZG) Liceu Piauiense, and to regulars courses of Degree in Geography of the University Federal of the Piauí (UFPI) and University State of the Piauí (UESPI), educational institutions of the public network, located in the city of the Teresina Piauí. Expression of the problematic searched is gaps to been demystified on the vision cartofógica, when has reference to use of the cartographic representations, in the practice, and the initial formation docent in the Geography. To analyze the dynamics of the use of the cartographic resources, tried demystify the Cartography while of the space during the teaching of discipline Geography. So, the lyam with the initial formation in the begree search understand the impasses of construction to academic know and the possibilities of the didactic transposition to the restructure of the know scholar to teacher who works in the Geography, trying to make the teaching of this discipline more interesting and value

A produção capitalista do espaço: os loteamentos, os condomínios fechados e o seu papel na formação do Bairro de Nova Parnamirim/Parnamirim-RN

This work exposed desired to investigate the function of evolution of closed allotment, of market of the earth and of forms of extraction of the lace of earth, in the processes capitalist production of urban space in Nova Parnamirim, community of Parnamirim/RN. This tendentious urbanization were marked for an expressive increase of number of horizontal and vertical closed residences joint ownership concerning at social groups more privileged financial position. Go after, set off, a temporal investigation, based in the forms of appropriation of space in the middle intermediate by action of the several producers agent of capitalist capital. This way, make necessary understand the past of local structure earth, in order that to make possible analyze the beginning of the process. Not enough, appealed the publics institutions as immobile notary s office and secretary municipal for to collect the more important information, and in the field through of application of formulary together the population of ward, in order that of examine the motivation of residential establishment inside. Make this, confirmed that the actual spatial organization of ward of Nova Parnamirim started of two allotments: the Vale do Pitimbú Park and Eucaliptos Park, both divided in several little allotments. Before of begin the ward, allotments reproduced set off from that native has been consigned during the 80, 90 decade s and begin the actual century, resigning a complicated urban structure earth, dynamized by exploration of a promising residential area. Leashed of this, confirmed the installation of logic of segregation and auto-segregation conducted by an immobile market which exclude the poor class and absorb rich class, motivate by perspective of obtaining of urban lace of earth by immobile promoter. However, perceived that the growth this market was promoted by migration of groups of capital, interior of state and others regions of country. Not distant, horizontal and vertical closed residences represent production forms of a new form of residence, corresponding the pattern architectonic as socioeconomics, strengthened by ideal of security, quality of life, necessity of reclusion and of proximity of Natal. Is in the capital which this individual found possibilities of attend satisfactory minimum of yours necessity in relation a consumption of bens and specialized and specifics services. Before this qualitative perceive that the social and spacial differential of Nova Parnamirim was the responsible by soil and habitation valorization of ward, that reinforce the promotion of segregation and of auto-segregation, and consequently, of capitalist reproduction of urban space

Do mundo como norma ao lugar como forma: o uso do território pela estratégia da saúde da família

This work aims to check whether there is a congruence between the purposes of regulations imposed by SIAB and the materiality constitution of places where your information is produced, since our hypothesis is that there is a mismatch between the rules and forms, which means, between reality as it is in places and how the territory is scrutinized by the Family Health Strategy (FHS) as for the performance of their teams as to the generation of their information. For this, the methodology used was the literature, documentary and empirical research, in special about territorialization of the Family Health strategy of Natal-RN. From the empirical mediation was possible to see the gap between full exploration and information produced by the ESF and the reality of the places. Thus, we highlight the importance of considering the conditioning of geographical forms as a guiding principle of the strategy for Family Health

As praças públicas de Natal/RN no âmbito dos problemas socioambientais urbanos

This paper presents the public square as a subsystem of the city for the potential integration of elements 'natural' and built environment. But sometimes the suitability of projects and the social processes involved are not compatible and favorable to their real functions in urban space. The city of Natal, with a population of 803,739 inhabitants has 253 public parks not uniformly distributed in the urban area, but mostly in central areas and their absence in some peripheral neighborhoods. In this sense, the objective of this paper is to analyze the quality and spatiality of the city's public squares within the urban socio-environmental problems. For this, use of simple random sampling to define the sample and the proportional allocation of districts, totaling 168 squares to be raised. We prepared a form to collect data on the field that includes aspects of leisure, infrastructure and environment. For each square sampled was calculated Square Quality Index (PQI), then calculating the average per IQP neighborhood. The rates found were crossed with census data and Municipal Public Administration by neighborhood, using multivariate analysis. We generated maps, charts and tables, considered appropriate to each question format, focused comparison. The public square appears as an indicator of environmental challenges present in intra-urban spaces of the city. Their spatial distribution is not consistent demand population, both by disposition and by how much. In terms of quality are characterized by different levels of inadequacy and degradation aspects of leisure, environmental and infrastructure, often causing disfigurement, abandonment and improper occupation in such spaces. Multivariate analysis point to a central concentration and their problems in certain administrative units, not only as regards the public squares, but also to aspects of education, income, and other violence, perpetuating the problem. The various levels of inadequacy and degradation of public squares have been more blatant in the poorest neighborhoods of the city, pointing to a structural pattern associated with the intrinsic characteristics of the neighborhood and the socioeconomic profile of the local population. These are problems of social and environmental dimensions, threaded in and influenced the political, economic and broader social process of transformation of the city and the urban. Based on an uneven process in which space necessarily reflect the contradictions inherent in the active forces and interests. Thus evidencing the importance of managing the necessary public effectively engaged with the problems that are present there, in order to equate them, without being prioritized certain areas of the city at the expense of others

Um olhar sobre o cotidiano e as re-definições espaciais no Bairro Potengi, Natal/RN

This work aims to conduct an analysis on the production of space and the dynamics between social agents that act and interact, albeit in different ways, in the production and re-production space in the Neighborhood Potengi in Natal, Rio Grande do Norte. The neighborhood is undergoing a process of dynamism undeniable and has a daily marked by heterogeneity, especially as a neighborhood in transition. So your analysis, from the perspective of the dialectical method, contributes to the understanding of the production space can be analyzed through the study of the forms and content, and may contribute to its real apprehension. After all, the city reflects forms, assumes functions, features and content that dynamic influences and is influenced by human relationships. Thus, this research seeks to analyze the production of space, based on the observation and study of the rich daily life of different social agents that operate within concrete quoted

A regionalização da saúde no Rio Grande do Norte: Elementos para a compreensão da dinâmica dos lugares

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Fato e ficção em Crônicas de fim do milênio, de Antonio Callado

Ao examinar os textos de Antonio Callado publicados na Folha de S. Paulo e reunidos no livro Crônicas de fim do milênio (1997), buscamos investigar de que maneira Callado lança mão de textos literários diversos para constituir seu ponto de vista nos comentários que faz sobre os dados do jornalismo e da história. Mais que uma ilustração do conteúdo das crônicas, essas obras apresentam-se como organizadoras de sua argumentação, revelando-se como um dispositivo de descoberta do mundo, por meio do qual o autor revê a história do Brasil. Nesse contexto, este trabalho aborda a trajetória da crônica brasileira e a obra geral de Antonio Callado, as quais apresentam um ponto fundamental de convergência com as crônicas do autor: a vinculação entre o texto literário, os fatos jornalísticos e os dados históricos, aspecto que se constitui como um dos eixos centrais de nosso estudo.

Sistemas de colheita e manejo da palhada de cana-de-açúcar

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Seletividade de produtos fitossanitários sobre o ácaro predador Agistemus brasiliensis Matioli, Ueckermann & Oliveira (Acari: Stigmaeidae)

Os ácaros predadores das famílias Phytoseiidae e Stigmaeidae constituem-se nos principais inimigos naturais de Brevipalpus phoenicis (Geijskes) em citros. Este ácaro-praga causa sérios prejuízos na produção, devido à transmissão do vírus da leprose dos citros (CiLV). Apesar do grande volume de informações sobre a sensibilidade de ácaros Phytoseiidae a agrotóxicos, praticamente não existem informações sobre o efeito desses compostos em ácaros Stigmaeidae no Brasil. Sendo assim, o trabalho teve por objetivo avaliar o efeito dos principais agrotóxicos utilizados em citros sobre o ácaro predador Agistemus brasiliensis Matioli, Ueckermann & Oliveira (Acari: Stigmaeidae), em condições de laboratório. Arenas de folhas de citros da variedade Pera, contendo 25 fêmeas adultas de A. brasiliensis, foram pulverizadas em torre de Potter. Avaliaram-se as mortalidades dos ácaros 72 horas após a aplicação. O efeito dos produtos na reprodução do acarino e a viabilidade dos ovos também foram avaliados. Quanto à seletividade, conforme proposta da Organização Internacional para o Controle Biológico (IOBC), os produtos foram classificados como: classe 1 - inócuo (E<30%), acrinathrin, bifenthrin, carbosulfan, deltamethrin; 2 - levemente nocivo (30%99%), calda sulfocálcica, cyhexatin, flufenoxuron, hexythiazox, óxido de fenbutatin, propargite, pyridaben e spirodiclofen. Estudos conduzidos em condições de campo ainda são necessários para se compreender melhor o efeito desses agrotóxicos sobre o ácaro predador.