Obstáculos superados pelos matemáticos no passado e vivenciados pelos alunos na atualidade : a polêmica multiplicação de números inteiros

In Mathematics literature some records highlight the difficulties encountered in the teaching-learning process of integers. In the past, and for a long time, many mathematicians have experienced and overcome such difficulties, which become epistemological obstacles imposed on the students and teachers nowadays. The present work comprises the results of a research conducted in the city of Natal, Brazil, in the first half of 2010, at a state school and at a federal university. It involved a total of 45 students: 20 middle high, 9 high school and 16 university students. The central aim of this study was to identify, on the one hand, which approach used for the justification of the multiplication between integers is better understood by the students and, on the other hand, the elements present in the justifications which contribute to surmount the epistemological obstacles in the processes of teaching and learning of integers. To that end, we tried to detect to which extent the epistemological obstacles faced by the students in the learning of integers get closer to the difficulties experienced by mathematicians throughout human history. Given the nature of our object of study, we have based the theoretical foundation of our research on works related to the daily life of Mathematics teaching, as well as on theorists who analyze the process of knowledge building. We conceived two research tools with the purpose of apprehending the following information about our subjects: school life; the diagnosis on the knowledge of integers and their operations, particularly the multiplication of two negative integers; the understanding of four different justifications, as elaborated by mathematicians, for the rule of signs in multiplication. Regarding the types of approach used to explain the rule of signs arithmetic, geometric, algebraic and axiomatic , we have identified in the fieldwork that, when multiplying two negative numbers, the students could better understand the arithmetic approach. Our findings indicate that the approach of the rule of signs which is considered by the majority of students to be the easiest one can be used to help understand the notion of unification of the number line, an obstacle widely known nowadays in the process of teaching-learning

Apropriação da escrita por crianças em contextos sociais adversos

O presente trabalho tem origem em nossas vivências como professora alfabetizadora na escola pública em contextos de periferias urbanas, o que nos levou ao envolvimento com questões relativas à (não)aprendizagem das crianças em seu processo de alfabetização. Por outro lado, a inserção na vida acadêmica nos aproximou de perspectivas de compreensão dos processos de aprendizagem e desenvolvimento das crianças, bem como do papel que o meio sociocultural tem nesses processos. Dessas experiências, emergiram os questionamentos que guiaram nossa investigação: em que contextos/situações crianças que vivem em um meio socialmente adverso se apropriam de conhecimentos acerca da linguagem escrita? Onde, com quem, como e o que aprendem as crianças de tal meio sobre a escrita como prática cultural? Tendo como objeto de estudo os contextos/situações em que crianças que vivem em contextos sociais marcados por condições adversas de extrema pobreza se apropriam de conhecimentos pertinentes à linguagem escrita, definimos, como objetivo, Analisar contextos/situações (intra e extra-escolares) em que crianças que vivem em um meio social adverso interagem e se apropriam de conhecimentos pertinentes à linguagem escrita. O campo de estudo foi a comunidade Frei Damião, localizada na periferia do município de Caicó, RN, originária de um lixão e reconhecida na região por ser economicamente carente, com alto índice de analfabetismo e baixíssimo nível de qualidade de vida (escassez de condições sanitárias, serviços públicos de saúde, saneamento e segurança, dentre outros próprios de meios urbanos). Assumindo os princípios da pesquisa qualitativa e as características de um estudo de caso, tomamos como sujeitos do estudo, nove crianças, com idades entre sete e oito anos, residentes na comunidade e estudantes da escola no segundo ano do Ensino Fundamental. Além das crianças, foram também considerados como sujeitos, suas mães, a diretora e duas funcionárias da escola. Os dados foram construídos a partir de entrevistas semi-estruturadas, questionários e anotações em diário de campo. Da sistematização desenvolvida com base nos princípios da análise de conteúdo emergiram evidências de que, mesmo vivendo em um ambiente marcado pela escassez de bens materiais, como de práticas e materiais escritos, as crianças constroem conhecimentos significativos sobre a escrita, apresentando níveis avançados de conceitualizações sobre o funcionamento do sistema alfabético. Tais construções resultam de interações em que se envolvem em diversos contextos intra e extra-escolares em sua comunidade nos quais são mediados, tanto por seus pais, em suas casas, como pela professora, na escola. Mesmo analfabetos ou com pouca instrução escolar, verificou-se que os pais inserem as crianças em processos de letramento e alfabetização ao valorizarem a escrita e seu aprendizado. Enquanto contexto de interação e apropriação de conhecimentos destaca-se, na comunidade, a escola e suas práticas. Mediante parcos recursos e limites, a professora cria situações de aprendizado do funcionamento do sistema de escrita e de habilidades textuais, aproximando as crianças da escrita como linguagem. Esses resultados apontam para a necessidade de reflexões e reformulações acerca das possibilidades da escola pública na promoção de educação de qualidade para as crianças de meios populares

A função mediadora do planejamento na aula de leitura de textos literários

This dissertation sutdies the mediative function in the planning of literary text reading classes of Portuguese. Its main central focus proposes that planning favors the pedagogical reading work of literary texts in the teaching of Portuguese, for they are regarded as one of the mediative elements the teaching-learning process. It also allows for its subjects to rethink the practice, theorizing it. As a theoretical basis the studies on participative planning are used, especially the studies concerning dialogic planning. The language/literature teaching perspective adopted in this work is guided by the socio-interactive conception of language, in a way that reading is seen as a comprehensive and interactive activity. Given the research process, the analysis of the reading process involved the Reader s Response, once that this theory considers the role of the reader and her/his interaction with the text. The study is grounded upon the following research question: which role(s) does the pedagogical planning play as a mediator of the reading teaching-learning process? The main objective of this dissertation is to investigate the pedagogical planning activity as a mediative instrument in the practice of reading in the Portuguese classes. The study is constituted of three stages, the third being emphasized (2002/2005) in which the direction of the participative action-research was used, as a way of acknowledging the pedagogical role in the teaching plan, as an instrument capable of rendering reorganization in the teaching-learning process of reading classes. We have as participants teachers of Portuguese in the elementary school (Ensino Fundamental, 3º ciclo), besides other segments of public schools, in the city of Pau dos Ferros RN, in which the previous studies were developed. The results point to the relevance in the role of the teacher, as a more experienced reader, in developing of pedagogical strategies that may come to favor the teaching of reading, having in the pedagogical sphere an instrument of theoretical reflection and sistematization of activities to be implemented in the classroom. The conclusions highlight the class plan as the mediative instrument to be incorporated and internalized into the teaching practice, amplifying and modifying the teacher s intervention forms, favoring, thus, her/his pedagogical mediation

Diagnóstico sócio-produtivo-econômico da comunidade de catadores de resíduos sólidos do município de Codó-MA: um estudo de caso

The research was carried out in the urban area in Codó-MA, a small city the east part of Maranhão, which has 4,228.000 km2 (IBGE, 2000) and population of 113,768 hab. (IBGE, 2008). The city is also inside Codó-MA micro-region. The city is located in one of the lacking area in Brazil, where the Human Development Index (IDH) is approximately 0,558. It does not present an adequate model of management when talking about solid residue collecting. All of the solid residue produced and collected in the city is stored in an open area that they call lixão , which is located in a residence area in the suburbs. Because of that, a problem that involves public health and environmental areas, we understand it is necessary to investigate the way the local government treats and manages the solid residue collecting, as well as, the social, economical and productive reality of those who are directly involved in the collecting itself, its productive chain of the material, including the handling, transportation and its final destiny. It means a social, productive, economical diagnosis, that in a such way,the local society and the organs of inspection can act in a better way to control the problems that include solid urban residue and come from a bad administration. That way, this work proposes to carry out a study that has as result a diagnosis with feasible alternatives on management, taking as basis, social and economical aspects that compound this productive chain. This work can bring great contributions to a better local reality through the introduction of an integrated and supported system of management of solid residue that includes a selective collecting and the creation of a sanitary area. Taking that into consideration, we can contribute to minimize the environmental impacts in Codó Novo, caused by the garbage

Diagnóstico para implantação do sistema de gestão ambiental em postos revendedores de combustíveis no município de Paranamirim RN: um estudo de caso

natural resources that still enjoy, in the certainty that if we do not, could culminate at the end of that remains. The environmental contamination by fuels in the retail service of oil and biofuels, has been a subject of growing research in Brazil, due to the large pollution potential of this activity. The aim of this study was to evaluate the importance of implementing the Environmental Management System (EMS) in fuel retail service stations in the city of Parnamirim-RN, but also describe the current situation the same as licensing and environmental characterization; identify existing barriers to implementation of EMS on the costs, technologies, knowledge, vision, present the potential benefits for the implementation of the EMS (social, economic and environmental), to identify the existence of plans for future action to implement the EMS , as a subsidy to promote the implementation of it. The methodology was developed through analysis of documents provided by the environmental agency responsible for licensing of retail service stations and fuel pala ANP. For data collection, we used the questionnaire was applied directly to managers or managers of sub-stations. Data were collected in 12 of 30 posts in the municipality. For purposes of data treatment was performed a descriptive analysis with respect to the opinion of twelve managers (respondents). The data acquired, according to the Likert scale were tabulated and analyzed using software SPSS 17.0 and Excel 2003, it was generated tables and graphs to observe the behavior of the data. The results showed that most respondents have a schooling level higher (58.3%) of the jobs surveyed 50% work on average 6 to 10 years and 41.6% are in operation for over 11 years , 75.0% do not have a license to operate and 12 stations, 58.3% were sued for not having a license to operate and are therefore in full commercial activity, 83% of jobs have some practice environmentally responsible, 75% agree in making planning future action to implement 8 the EMS in their ventures, 70% in full agreement that the high cost is a form of impediment to implementation of EMS; 66.67% agreed that resistance to change is an impediment to implementation of EMS; 90.91% agreed that the implementation of EMS is very complex, 80% of respondents agreed in a very significant environmental legislation is also a key factor preventing the implementation of EMS is noteworthy that 100% of respondents agreed that the knowledge about the use of the EMS will help to solve environmental problems in the fuel retail service stations, the implementation of the EMS will benefit with increased efficiency of resources applied to the findings by the agreement of 91.66% of respondents, where only 8, 33% disagreed, there was also a percentage of 100%, agreed that the company's image will be a great benefit, but also a contribution to solving environmental problems in the fuel retail service stations. Thus, the importance of the implementation of EMS in the fuel retail service stations in the city of Parnamirim-RN, with an urgent need to be deployed. And the bodies responsible for policy on state-run and supervise more tightly and action, this type of activity, in order to regulate the sustainable functioning of retail service stations of fuel, thus promoting a better quality of life for the population of the municipality of natal-RN

Controle de estoques de sal: uma inovação da quantificação e no gerenciamento dos recursos naturais da indústria mineral

The strengthening of the domestic industry in Brazil required the modernization, mechanization and expansion of salt production. Thereafter the production of sea salt started to be made in a process of continuous flow, where the product is constantly stored in yards, with daily movements in and out of salt. Thus far, the major bottleneck found in this production process is the control of production, because due to the large amount produced and variety of losses existing in the various stages of production there are not a regulated and safe way to control inventories with accuracy and speed demanded. In a typical case with a salt marsh company of Rio Grande do Norte state, salt produced is stored in two open courtyards and inventory control of salt made by carrying input / output relationship of salt in each storage yard. This work developed a conceptual model of inventory control, based on topography, adopting surveys into one of the courtyards of the company. There were 25 biweekly survey measurements over a year book to generate digital models representing the stock. For each measurement, results were compared with the values of inventory accounting provided by the salt marsh in order to identify existing losses and mark out the sales department on the actual stock available at each measurement date. Inventories calculated by the model indicated losses of 6,349 tonnes for the period of one year book and 3,279 tonnes for the period between harvests, when compared to the accounting control

Análise de desempenho de sistemas distribuídos de grande porte na plataforma Java

The lava Platform is increasing1y being adopted in the development of distributed sys¬tems with higb user demando This kind of application is more complex because it needs beyond attending the functional requirements, to fulfil1 the pre-established performance parameters. This work makes a study on the Java Vutual Machine (JVM), approaching its intemal aspects and exploring the garbage collection strategies existing in the literature and used by the NM. It also presents a set of tools that helps in the job of optimizing applications and others that help in the monitoring of applications in the production envi¬ronment. Doe to the great amount of technologies that aim to solve problems which are common to the application layer, it becomes difficult to choose the one with best time response and less memory usage. This work presents a brief introduction to each one of tbe possible technologies and realize comparative tests through a statistical analysis of the response time and garbage collection activity random variables. The obtained results supply engineers and managers with a subside to decide which technologies to use in large applications through the knowledge of how they behave in their environments and the amount of resources that they consume. The relation between the productivity of the technology and its performance is also considered ao important factor in this choice

Algoritmo SOM com estrutura hierárquica e dinâmica aplicado a compressão de imagens

ln this work the implementation of the SOM (Self Organizing Maps) algorithm or Kohonen neural network is presented in the form of hierarchical structures, applied to the compression of images. The main objective of this approach is to develop an Hierarchical SOM algorithm with static structure and another one with dynamic structure to generate codebooks (books of codes) in the process of the image Vector Quantization (VQ), reducing the time of processing and obtaining a good rate of compression of images with a minimum degradation of the quality in relation to the original image. Both self-organizing neural networks developed here, were denominated HSOM, for static case, and DHSOM, for the dynamic case. ln the first form, the hierarchical structure is previously defined and in the later this structure grows in an automatic way in agreement with heuristic rules that explore the data of the training group without use of external parameters. For the network, the heuristic mIes determine the dynamics of growth, the pruning of ramifications criteria, the flexibility and the size of children maps. The LBO (Linde-Buzo-Oray) algorithm or K-means, one ofthe more used algorithms to develop codebook for Vector Quantization, was used together with the algorithm of Kohonen in its basic form, that is, not hierarchical, as a reference to compare the performance of the algorithms here proposed. A performance analysis between the two hierarchical structures is also accomplished in this work. The efficiency of the proposed processing is verified by the reduction in the complexity computational compared to the traditional algorithms, as well as, through the quantitative analysis of the images reconstructed in function of the parameters: (PSNR) peak signal-to-noise ratio and (MSE) medium squared error

Um sistema computacional para diagnosticar viroses de plantas usando a técnica de PCR com construção de primers espécie-específicos

It proposes a established computational solution in the development of a software to construct species-specific primers, used to improve the diagnosis of virus of plant for PCR. Primers are indispensable to PCR reaction, besides providing the specificity of the diagnosis. Primer is a synthetic, short, single stranded piece of DNA, used as a starter in PCR technique. It flanks the sequence desired to amplify. Species-specific primers indicate the well known region of beginning and ending where the polymerase enzyme is going to amplify on a certain species, i.e. it is specific for only a species. Thus, the main objective of this work is to automatize the process of choice of primers, optimizing the specificity of chosen primers by the traditional method

Viabilidades térmica, econômica e de materiais de um sistema solar de aquecimento de água a baixo custo para fins residenciais

An solar alternative system for water heating is presented. Is composed for one low cost alternative collector and alternative thermal reservoir for hot water storing. The collector of the system has box confectioned in composite material and use absorption coils formed for PVC tubes. The box of hot water storage was confectioned from a plastic polyethylene drum used for storage of water and garbage, coated for a cylinder confectioned in fiber glass. The principle of functioning of the system is the same of the conventionally. Its regimen of work is the thermosiphon for a volume of 250 liters water. The main characteristic of the system in considered study is its low cost, allowing a bigger socialization of the use of solar energy. It will be demonstrated the viabilities thermal, economic and of materials of the system of considered heating, and its competitiveness in relation to the available collectors commercially. Relative aspects will be boarded also the susceptibility the thermal degradation and for UV for the PVC tubes. It will be shown that such system of alternative heating, that has as main characteristic its low cost, presents viabilities thermal, economic and of materials

Projeto, construção e análise de desempenho de coletores solares alternativos utilizando garrafas pet

A solar alternative system for water heating is presented. It work on a thermosiphon, consisting of one or two alternative collectors and a water storage tank also alternative, whose main purpose is to socialize the use of energy mainly to be used by people of low income. The collectors were built from the use of pets bottles, cans of beer and soft drinks and tubes of PVC, ½ " and the thermal reservoirs from a drum of polyethylene used for storage of water and garbage placed inside cylinder of fiber glass and EPS ground between the two surfaces. Such collectors are formed by three elements: pet bottles, cans and tubes absorbers. The heating units, which form the collector contains inside the cans that can be closed, in original form or in the form of plate. The collectors have an absorber grid formed by eight absorbers PVC tube, connected through connections at T of the same material and diameter. It will be presented data of the thermal parameters which demonstrate the efficiency of the heating system proposed. Relative aspects will be boarded also the susceptibility the thermal degradation and for UV for the PVC tubes. It will be demonstrated that this alternative heating system, which has as its main feature low cost, presents thermal, economic and materials viabilities

Compósitos híbridos: desenvolvimento de configuração e efeitos de umidificação

The advantage in using vegetable fibres in place of synthetic fibres such as glass fibre, for reinforcements in composites are: biodegradability, low cost, low density, good tenacity, good thermal properties, low energy content and reduced use of instruments for its treatment or processing. Even though, problems related to low mechanical performance of some of the natural fibres, has caused difficulty in their direct application in structural elements. The use of alternative materials like hybrid composites has been encouraged, thus trying to better the structural performance of the composites with natural fibres. This work presents a comparative study of the strength and stiffness of hybrid composites with orthopthalic polyester matrix reinforced with E-fibre glass, jute and curauá. The experimental part includes uniaxial tension and three point bending tests to determine the mechanical properties of the final product. The hybrid composite was manufactured in a local industry and was in the form of laminates. All the samples were projected to withstand the possible structural applications as reservoirs and pipes. CH (laminated hybrid composite with glass and curauá fibres). The results obtained show clearly the influence of the hybridization in all the types tested and indicate a good mechanical performance of the composite with glass/curauá fibres in relation to the composite with glass fibres. Aspects in relation to the interfaces glass/curauá composites besides the fracture characteristics for all loading types were also analysed

Efeitos do envelhecimento ambiental acelerado em compósitos poliméricos

The advantages of the use of vegetable fibers on the synthetic fibers, such as glass fibers, in the reinforcements in composites are: low cost, low density, good tenacity, good thermal properties and reduced use of instruments for their treatment or processing. However, problems related to poor performance of some mechanical natural fibers, have hindered its direct use in structural elements. In this sense, the emergence of alternative materials such as hybrids composites, involving natural and synthetic fibers, has been encouraged by seeking to improve the performance of structural composites based only on natural fibers. The differences between the physical, chemical and mechanical properties of these fibers, especially facing the adverse environmental conditions such as the presence of moisture and ultraviolet radiation, is also becoming a concern in the final response of these composites. This piece of research presents a comparative study of the strength and stiffness between two composite, both of ortoftalic polyester matrix, one reinforced with fibers of glass-E (CV) and other hybrid reinforced with natural fibers of curauá and fiberglass-E (CH). All the comparative study is based on the influence of exposure to UV rays and steam heated water in composites, simulating the aging environment. The conditions for the tests are accelerated through the use of the aging chamber. The composites will be evaluated through tests of uniaxial static mechanical traction and bending on three points. The composite of glass fiber and hybrid manufacturing industry are using the rolling manual (hand lay-up) and have been developed in the form of composites. All were designed to meet possible structural applications such as tanks and pipes. The reinforcements used in composites were in the forms of short fiber glass-E quilts (450g/m2 - 5cm) of continuous wires and fuses (whose title was of 0.9 dtex) for the curauá fibers. The results clearly show the influence of aging on the environmental mechanical performance of the composite CV and CH. The issues concerning the final characteristics of the fracture for all types of cargoes studied were also analyzed

Fibras de sisal (Agave sisalana) como isolante térmico de tubulações

In the last decades there was a significant increasing of the numbers of researchers that joint efforts to find alternatives to improve the development of low environmental impact technology. Materials based on renewable resources have enormous potentials of applications and are seen as alternatives for the sustainable development. Within other parameters, the sustainability depends on the energetic efficiency, which depends on the thermal insulation. Alternative materials, including vegetal fibers, can be applied to thermal insulation, where its first goal is to minimize the loss of energy. In the present research, it was experimentally analyzed the thermal behavior of fiber blankets of sisal (Agave sisalana) with and without surface treatment with oxide hidroxide (NaOH). Blankets with two densities (1100/1200 and 1300/1400 g/m2) were submitted to three rates of heat transfer (22.5 W, 40 W and 62.5 W). The analysis of the results allowed comparing the blankets treated and untreated in each situation. Others experiments were carried out to obtain the thermal conductivity (k), heat capacity (C) and the thermal diffusivity (α) of the blankets. Thermo gravimetric analyses were made to the verification of the thermal stability. Based on the results it was possible to relate qualitatively the effect of the heat transfer through the sisal blankets subjected to three heat transfer rates, corresponding to three temperature values (77 °C, 112 °C e 155 °C). To the first and second values of temperature it was verified a considerable reduction on the rate of heat transfer; nevertheless, to the third value of temperature, the surface of the blankets (treated and untreated) in contact with the heated surface of the tube were carbonized. It was also verified, through the analyses of the results of the measurements of k, C e α, that the blankets treated and untreated have values near to the conventional isolating materials, as glass wool and rock wool. It could be concluded that is technically possible the use of sisal blankets as constitutive material of thermal isolation systems in applications where the temperature do not reach values greater than 112 ºC

Estudo da radiação ultravioleta na Cidade de Natal-RN

There were studied the variation of the solar ultraviolet radiation (UVR) in four wavelengths (305 nm, 320 nm, 340 nm e 380 nm) and erythemic dose, measured in Natal RN Brazil, from January 2001 until December 2007, using the ground ultraviolet radiometer of the Instituto Nacional de Pesquisas Espaciais / Centro Regional do Nordeste INPE-CRN, fixed on the roof of the Laboratório de Variáveis Ambientais Tropiciais LAVAT-INPE-CRN. It was verified that the mean value of the UVR in the city reachs the HIGH index before 09h00 a.m. and VERY HIGH before 09h40 a.m.; it was also verified that, except in the months of June and July, in the other months of the year the UVR reachs the HIGH index before 10h00 a.m., despite of the recommendations broadcasting in the media about the safe time to people stay ashore on the beaches of the city. After 14h30 p.m., the UVR reachs the MODERATE index in any month of the year. These evidence are valid to all years of the period studied, i.e., 2001 to 2007. The year of 2004 presented the lower mean values of UVR indices, and the year of 2007 presented the higher mean values of UVR index. It was prove, by means of the analysis of variance (ANOVA), the variation in the four wavelengths and in the erythemic dose. Considering that the city has high indices of skin cancer and cataract, the results of the research may be use as a data source to studies that intend to support programs of public health. At the same time, the results of the research may be applied to material science and agriculture studies