Geometria e simetria nas rendas de bilro: contribuições para matemática escolar

A tese tem como objetivo descrever e analisar características e princípios dos padrões das rendas de bilro de modo a estabelecer relações com a Matemática escolar, principalmente, no que se refere aos tópicos como Geometria, simetria, isometria, área, perímetro, entre outros. Desse modo, elaboramos atividades didáticas, com base na Matemática explorada nos padrões da criação da renda de bilro, visando concretizar um exercício investigatório nas aulas de Matemática, de modo que, sejam estabelecidas relações conceituais entre a prática investigada e os conteúdos da Matemática escolar. Para satisfazer esses objetivos, buscamos apoio metodológico na pesquisa bibliográfica, do tipo documental em catálogos como o da Professora Valdelice Girão (1984) e também o de Dawson (1984). Realizamos também a pesquisa empírica durante as visitas ao Museu do Ceará e ao Centro das Rendeiras na Prainha, em Aquiraz, no Ceará. Para realizar as atividades didáticas, apoiamo-nos em Mendes (2009). Consideramos relevante essa abordagem de ensino porque pressupõe a experiência direta do aprendiz com situações reais vivenciadas, nas quais a abordagem instrucional é centrada no aluno. Desse modo, concluímos que para o ensino de conteúdos como Geometria, simetria, isometria, relação entre perímetro e área, entre outros que são abordados na Educação Básica, os modelos decorrentes da criação renda de bilro e outros modelos já descritos na tradição cearense podem ser usados como artefato cultural na criação de atividades didáticas

Guilherme de La Penha: uma história do seu itinerário intelectual em três dimensões

This study focuses on the central Brazilian historiography of science, focusing specifically on the life and work of a contemporaneous mathematician-physicist, and becomes part of the set of research results that investigate, organize and describe personal, intellectual and professional itineraries of Brazilian scientists and educators. The theme chosen for the study ran from seminars on Mathematics in Pará and is up to organize and describe the life history, education, professional experience and scientific production of William Mauricio Souza Marcos de La Penha (Guilherme de La Penha), considering their academic, professional and intellectual life history, so that their academic and intellectual production be spread over the Brazilian scientific and academic community. We adopted the historical research as theoretical and methodological base for the development of this study, rising arguments about the profile of Guilherme de La Penha to characterize him as a multiskill intellectual and to reveal that his thoughts about science, technology, training scientists and educators were in accordance with their writings and their professional practice in order to build a first story about the life and work of William de La Penha. In this sense, we took the theoretical aspects related to historical research, biographies, intellectual itineraries, files and inventories as sources and historical construction vehicles in order to point out the essential elements to form a profile of the transdisciplinary intellectual historians, ie a profile scientist who carries out the research, management and administration, as well as a committed educator to the on-going training and forming process. The results pointed in different directions, among which we highlight the creation of Seção Guilherme de La Penha at Universidade da Amazonia, producing several articles about the life and work of William de La Penha presented at national and international conferences and the proposal for documentary displays which could contribute to understanding the implementation of a scientific area in Pará State, an area that would not only be restricted to the production of knowledge, but more than that, it would include the spreading, which provides various means, primarily through education. Thus it was possible to ensure that La Penha has an intellectual profile that can be considered a multi-and transdisciplinary intellectual who defends the possibility of forming a scientist one and multiple, non-linear attitudes and dialogues with all other areas in order to be understood under a model scientist for the twenty-first century based on the model clearly inspired by the scientist authors with which he identified throughout their training and professional activities, like the three that stood out in their relationship science: Archimedes, Leonhard Euler and Cliford Ambrose Truesdell

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

Os jogos com regras na perspectiva do desenho universal: contribuições à educação matemática inclusiva

To think about a school that is for everyone has been a challenge for many people connected to education worldwide demanding from researchers of each level of knowledge an association to such effort. The study presented on this paper unites itself to the voices, movements and researches of these scholars, seeking to contribute on building possibilities on which mathematics can be thought and worked on schools in order for every student to learn, whether they have some sort of deficiency, disorders, syndromes or not. This essay has the goal to investigate the possibilities of inclusive pedagogical practices mediated by math games with rules, developed and used throughout the Universal Design perspective; a qualitative research took place with a collaborative methodology that involved managers, teachers and students from a public school situated on the city of Natal/Brazil. On the investigation math games with rules were developed and made according to the Universal Design concept, starting from initial studies which articulated theoretical groundings to the reality of school and the teacher s conceptions. After that, classes using these tools were planned collectively which oriented inclusive pedagogical practices of classes from the 1st to the 4th year of elementary school. Throughout the process many instruments such as: tape recording, video footages, notes from the researcher; the teachers and the students were used for constant work evaluation and also to record the research data. In the end, the data indicated effective contributions of the mediated pedagogical practices by games with rules under the perspective of Universal Design for Inclusive Mathematics Education

Do mestre aos discípulos: o legado educacional de Nestor dos Santos Lima (1910-1930)

Cette étude analyse La pratique pédagogique de l éducateur norte-rio-grandense Nestor dos Santos Lima, de 1910 a 1930, période ou se concentre son plus grand nombre de publications sur lês questions scolaires. Nous désirons comprendre de quelle forme cet intelectuel a contribué au développement du systeème d enseignement primaire à travers sés écrits sur lês principes et méthodes de l enseignement de la lecture et à l écriture, appliqués dans lês Groupes Scolaires de l État. Nestor Lima a joué um grand role dans la sociaété, à la tetê de fonctoins comme celle de La présidence de l Institut Historique e Geographique du Rio Grande do Norte (IHGRN), directeur de lÉcole Normale de Natal et du Dápartament d Education de État. Il a pulié de diverses oeuvres de caractere scolaire, comme lês Régiments Internes pour lês Groupes Scolaires, Écoles Isolées, Écoles Rudimentaires et Conseil d Education. Dans cette étude, nous mettons em évidence lês leçons de métodologique pour l enseignement de la lecture ET de évidence lês leçons de metodologie pour l enseignement de la lecture et de l ecriture, adresses aus eleves de lÉcole Normale de Natal, publiées dans la colonne Pádagogie du journal A República. Dans ces matièrs, nous observons que lês aspects qui composaient la pratique développe par Nestor Lima impliquaient lês questions Morales et civiques, la preocupation de la formation enseignante à l École Normale de Natal et le Célibat Pédagogique Féminin. Nous observons que la preocupations dês pratiques de lecture et lécriture sont presentes dans l oeuvre de cet éducateur comme legs important aux générations qui se succédent. Il est évident qu Il a cherché das sés productions une meilleure qualification dês enseignants pour que le niveau de l enseignement primaire puísse ainsi évoluer

As geometrias urbana e isoperimétrica: uma alternativa de uso em sala de aula

The main goal of the present study is to propose a methodological approach to the teaching of Geometry and, in particular, to the construction of the concepts of circle (circumference) and ellipse by 7th and 8th grade students. In order to aid the students in the construction of these concepts, we developed a module based on mathematical modeling, and both Urban Geometry (Taxicab Geometry) and Isoperimetric Geometry. Our analysis was based on Jean Piaget's Equilibrium Theory. Emphasizing the use of intuition based on accumulated past experiences, the students were encouraged to come up with a hypothesis, try it out, discuss it with their peers, and derive conclusions. Although the graphs of circles and ellipses assume different shapes in Urban and Isoperimetric Geometry than they do in the standard Euclidian Geometry, their definitions are identical regardless of the metric used. Thus, by comparing the graphs produced in the different metrics, the students were able to consolidate their understanding of these concepts. The intervention took place in a series of small group activities. At the end of the study, the 53 seventh grade and the 55 eighth grade students had a better understanding of the concepts of circle and ellipse

A Proficiência escritora em matemática trabalhada nos livros didáticos dos 4º e 5º anos do ensino fundamental

Universidade Federal do Rio Grande do Norte

Gêneros do discurso e escrita: o que as coleções didáticas de português (des)prestigiam no ensino da produção textual?

Through the examination of official indicators, it can be observed that writing is pointed out as one of the main problems concerning formal basic education. However, this teaching-learning object is one of the central objectives at school, having an essential role in different curricular components as well as in the interaction demands required by society. Such paradox indicates, therefore, the relevance of investigations which analyze the intrinsic elements of child development as written text producer. Hence, the main purpose of this research consists of analyzing the treatment given to the types of discourse and the teaching situations in which the written text are produced, concerning Portuguese language didactic material collections approved by Programa Nacional do Livro Didático (PNLD 2010) the Brazilian program of didactic book and worked at elementary school. Such materials correspond to the collections adopted in municipal education system schools from Natal, RN which were below the official education indicator IDEB 2009. Thus, the questions that guide this work are: 1. During writing production lessons, is the diversity of types of discourse effectively worked on didactic collections? 2. Which are the types of discourse and the social spheres prioritized when teaching writing production? 3. How is the situation addressed in the production of the written text should be produced? For this research, we retook the authors Bakhtin, Bunzen, Faraco, Freire, Rodrigues, Rojo, Schneuwly e Dolz and we made a list of all types of discourse and spheres contemplated in the propositions of the writing production in didactical books, concerning the eight collections which compounds the first moment of analysis. Then, we verified how the situation of production is oriented by examining two didactic collections if and how they express the elements referring to the social-historical, functional and linguistic-discursive context of the text to be produced. The data obtained indicate: lack of diversification of types of discourse in the collection that compounds the Aggregate Sample of the research; the conception of a diversity based on the didactic of visiting; the recognition of all canonical and hegemonic types of text as one of the privileged objects of study; the centralization on the standard variety of the language and the devaluation of the representative types of cultural diversity; the shortage of productions which retrace to written language related to different technologies of communication and information; and the little emphasis on the types of discourse related to public language practices. As for the situations of production, it is observed the predominance of the school as a producer of dialogic relationships, whose propositions present, for example, text addressees, enunciative positions, support and contexts of restricted circulation, especially at school. Two divergent situations are observed among the collections: the lack of a work in which the situation of production is under the perspective of the types of discourse as object of teaching-learning; the concept of the types of discourse as object of reflection, presenting a differentiated didactic orientation towards the situation of production. This research contributes, therefore, with a mapping of the existence and the treatment of the types of discourse on propositions of writing production in didactic books; with the critical analysis of the approach of written activities, considering the elements of the historical-social, functional and linguistic-discursive context; thus, through teaching, research and public policies, use and selection of didactic material for the area

Redução de danos e o saber-fazer de profissionais de um CAPS ad em Natal-RN

The present study had as a main objective to analyze how the professionals at a CAPS ad unit in Natal-RN conceive the knowledge-practice process with regard to the Harm Reduction Policy (HRP) towards alcohol and other drugs. For the accomplishment of this proposal, it was intended: 1) Verifying the possibilities and limits of the HRP implementation at a CAPS ad unit in Natal-RN; 2) Relating the professionals knowledge at a CAPS ad unit in Natal in regard to the Harm Reduction Policy; 3) Enumerating the HRP programmatic actions at the institution. The research had exploratory, descriptive and qualitative approach aspects, guided by the concepts of biopower and self care proposed by Michel Foucault. Data collection occurred in June and July 2011, in which the focal group technique was used. After that, collect field material was analyzed through the content analysis method proposed by Minayo. The results showed some conceptual and practical approach between the harm reduction strategy and the knowledge-practice of the professionals at this CAPS ad unit. The discursive models about drug usage, especially the moral-legal model, still have a significant role in the daily lives of these professionals, being amplified by some demands of their jobs or even through the instituted discourse. The individuals recognize the need for less prohibited practices and more socializing ones, identifying them with the Harm Reduction (HR) logic, when there is a coherent and well-founded understanding about HR among the professionals. Distorted and reductionist views about HR as considering the simple instrumental function of this strategy (distribution of basic supplies) among the professionals, represent one of the main barriers for its implementation. There are few programmatic activities that are related to the RD strategy at this CAPS ad unit which makes a more effective appropriation by the working team difficult to reach. The working processes and the postures adopted by this CAP ad unit professionals have been showing that many of their practices and conceptions were modified to the detriment of new necessities emerged from the demands. Consequently, the self care notion is revealed which brings the need for the valorization of these care agents roles, that is, their collective and individual contribution.

Fonte de energia alternativa: um estudo sobre a percepção ambiental, social e econômica do biodiesel com docentes do Centro de Tecnologia do gás da cidade de Natal RN

Meaning fuel and renewal energy source s derivative additives, the term biodiesel exists in Brazil since 1980, when it was signed its first patent by Expedito Parente. Since then, its importance has grown gradually due to the worsening of the ambient problems, since its use has became a highly promising alternative to the pollution decrease, as in the carbon dioxide issue as with the smoke and sulfur oxide. In Brazil, it was created the National Program of Production, whose objective is to insert the new product in the country s energy matrix, strengthening the economy and creating new employment opportunities, being an important product to the national energetic independence, since Brazil still imports diesel to its domestic consumption. This study aims to identify the ambient, social and economic perception of the teachers from the Technology Center of Natal city (CTGÁS-RN) to the biodiesel. For that, it was used a questionnaire closed questions, organized in the likart scale, directed to the tree spheres of the research analysis, the biodiesel and its social, ambient and economic nuances, totaling 31 questionnaires full answered. In its objectives, the research was descriptive and in its approach it was qualitative. To the data analysis it was used statistical tools (Statistic software, 6.1 version and Microsoft Excel 2003). The research revealed the predominance of the ambient aspect in the sight of the teachers, followed by the social ones. The economic factors represent a minor percentage in the analysis when compared to other

Ergonomia e Odontologia: determinantes da postura corporal dos estudantes da clínica-escola de uma Universidade Federal

Posture is one of the most worrying problems dentists face. That is because of the high incidence of low back pathologies regarding the professional activity, despite the development on the field of Dental Ergonomics. This work took place at the dental schoolclinic at a Federal University, and it was grounded on the Ergonomic Principles in the workplace. Its main objective was to analyze the determinants of inadequate posture adopted by students inasmuch as the adoption of non ergonomic methods at the school-clinic may influence them to develop inadequate postures in their working environment. The analysis of the activity showed us that it requires some complex procedures in the patient s mouth. Thus, when the students carry out the activity, they start to adopt, although unconsciously, inadequate postures which will make easier the visual accuracy and the access to the operation focus. In case there is no internal (body awareness) or external warning mechanisms (the professor s or the partner s counseling) regarding posture or possible risks which lead them to self-correction, the students become vulnerable to osteomuscle disorders. The time pressure, because the students are expected to perform their task in a predetermined clinical time. The facts related to each patient s variability as well as the stress caused by the expectations to get their work done in time make the students to advance it believing they will waste time if they help their partners or using an indirect view. We could also notice that there was no assistant to perform the job of minor ones, as well as there was no professor who could actually connect the knowledge on Ergonomics to its working practice. The conclusions of this work stand out the need of widen the discussion at the academic environment regarding health professionals in places such as universities. The ergonomic principles in the workplace aim a multidisciplinary analysis based on the experience of students, professors, staff members and janitors that can contribute to some reflection upon the issue and consequently actions which will bring positive changes at the working environment

Uma contribuição crítica para o redesenho de cadeiras de rodas adaptadas para crianças e adolescentes com paralisia cerebral

This work was aimed at making a critical analysis of the product wheelchair, both for using four different models, which were objects of study of the dissertation of Cláudia Regina Cabral Galvão, entitled Critical Analysis of the Mobility Products Seated a wheelchair - Used by Children and Adolescents with Cerebral Palsy in Natal / RN and other municipalities of Rio Grande do Norte . This product is considered an instrument in the social rehabilitation of great importance for people with physical disabilities. This study aims to position the issue and develop comments on technical up grading of certain models according to the needs of the user. Describes features of four models in search searched through catalogs in order to know its advantages and disadvantages of use. Were presented the definitions of ergonomics and ergonomic aspects to be considered on a design, the study of anthropometry and its recommendations. Discussions the methodology of project design in two parts: the first, on the structuring of design problem (formulation, analysis, synthesis and evaluation.) And the second on the project (design and development, implementation and evaluation and solution). With that review will include the possibilities for a new redesign of the wheelchair, based on forms of adaptation in order to achieve the target that was compressed by the average population studied. Seeks to that this project makes an improvement in quality of life of people in wheelchairs by including these people in society but also the improvement of rehabilitation

Qualidade da carne de fêmeas suínas alimentadas com diferentes concentrações de ractopamina na dieta

Analisaram-se as qualidades física, química e sensorial, bem como o perfil de ácidos graxos da carne de fêmeas suínas alimentadas com dietas com concentrações crescentes de ractopamina. Foram utilizadas 468 fêmeas, com peso inicial de 84,77±7,20kg, alojadas em 36 baias e alimentadas com dietas contendo 0, 5, 10 ou 15mg de ractopamina/kg. Após o período de 28 dias, dois animais de cada baia, depois de passarem por 15 horas de jejum sólido, foram abatidos. Uma amostra do músculo Longissimus da meia carcaça direita foi colhida para se avaliar as características de qualidade da carne. Não houve efeito (P>0,05) da adição de ractopamina às dietas sobre o pH, capacidade de retenção de água, força de cisalhamento, cor e oxidação lipídica da carne. Observou-se efeito quadrático (P<0,05) para perdas por cocção da carne, e não foi observada diferença (P>0,05) na análise sensorial da carne. Também não foi observado efeito (P>0,05) sobre a composição em ácidos graxos e sobre a relação entre ácidos graxos saturados:insaturados. A adição de até 15mg de ractopamina/kg de dieta não altera as características físicas, sensoriais e o perfil de ácidos graxos da carne de fêmeas suínas abatidas com 110kg de peso.

Avaliação econômica da utilização de diferentes níveis de polpa cítrica com ou sem adição de complexo enzimático nas dietas de suínos

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Impactos da certificação ISO 9000 no desempenho estratégico :um estudo em empresas brasileiras do setor químico

This thesis deals with analyzing the contribution grade of the ISO 9000 quality system to the strategic performance of the Brazilian firms in the Chemistry sector, using the Balanced Scorecard system as reference. An exploratory research is developed to get technical information about these two management systems, with emphasis in their integration. After, a quantitative research is implemented using a questionnaire, to know and to obtain necessaries data for improving statistical estimations of the multiple relationships between the variables and the strategic performance for the universe of 352 Brazilians firms that make use of ISO 9000 as quality system. The size of the sample totalized 111 firms, which represent more than 31% of the selected universe. The main results show different visions of directors and managers about the significant variables that contribute for the strategic performance of the analyzed firms. The ISO 9000 system presents a big contribution to the strategic performance, when referred by the four perspectives of the Balanced Scorecard: learning and growth; internal process; customer and financial. Better performance was verified in the learning and growth perspective and reasonable performance was verified in the financial perspective