Euler's theorem under the microscope

In this article Geoff Tennant summarises the first half of Imre Lakatos's seminal 1976 book, "Proofs and refutations: the logic of mathematical discovery". Implications are drawn for the classroom treatment of proof.

Doação : uma figura estratégica para o marketing

Este trabalho analisa diversas correntes de pensamento acerca do tema estratégia e apresenta o modelo de análise estratégica originalmente desenvolvido pelo professor Luciano Zajdsznajder - ex-professor da cadeira Pensamento Estratégico na Escola Brasileira de Administração Pública. As doutrinas estratégicas aqui abordadas pertencem a duas áreas de atuação: militar e empresarial. Na área militar, analisamos os principais elementos das obras de Sun Tzu, Carl von Clausewitz e B.H. Liddell Hart. Na esfera empresarial, são analisados os seguintes autores: Michael Porter, H. Igor Ansoff e Francisco Gracioso. O modelo do professor Zajdsznajder é, então, apresentado e analisado. Este modelo fundamenta-se na análise das cinco principais possibilidades de orientação estratégica - ou seja, o pensamento, os modelos mentais que determinam as ações e decisões estratégicas -, que são: o conflito, a coerção, a competição, a negociação e a doação. São fornecidos diversos exemplos de empresas cujas estratégias fundamentam-se em cada uma das cinco orientações e são observadas, inferidas e analisadas as conseqüências dessas opções. Finalmente, concluímos que a orientação da doação apresenta, no atual ambiente de mercado, vantagens sobre as demais orientações como fundamento para a formulação de estratégias de marketing.

As influências das práticas de gestão de pessoas na cultura organizacional

Este estudo teve por objetivo verificar como as práticas de gestão de pessoas estão influenciando cultura das organizações brasileiras. Para possibilitar identificação análise, os meios utilizados foram pesquisa de campo bibliográfica. Também foi considerada experiência de mais de 25 anos deste pesquisador como profissional da área de recursos humanos, como consultor como professor da disciplina Gestão de Pessoas em cursos de pós-graduação. pesquisa de campo forneceu dados que possibilitaram identificar que as práticas de gestão de pessoas nas organizações instaladas no Brasil, estão se refletindo de forma diferenciada para o desenvolvimento de uma cultura organizacional voltada para resultados nas empresas que compõem os setores privado, multinacional, estatal público, pesquisados.

O perfil do professor de ensino supletivo: um estudo com enfoque nas suas representações contextuais reveladas pela categoria "linguagem"

Esta pesquisa promoveu-se na área da Educação, especificamente num setor de Ensino: o Ensino Supletivo. Foi realizada com o principal objetivo de definir o Perfil do Professor neste segmento educacional. Através de uma rede de informações obtidas, tanto na literatura encontrada sobre o assunto como em entrevistas gravadas durante a realização da Pesquisa de Campo, procurou-se numa metodologia dialética, investigar dentro de um contexto sócio-politico-econômico-cultural, as projeções representativas emanadas da prática do profissional de Ensino Supletivo, em escolas de Ensino Supletivo Público Estadual, no Municipio do Rio de Janeiro, do Estado do Rio de Janeiro. A pesquisa desdobrou-se em duas grandes vertentes: la Questão teórica - onde se teve a oportunidade de verificar que a questão do Ensino Supletivo é pouco pesquisada, talvez por falta de uma politica educacional, ocasionando desmotivação entre os docentes e um consequente baixo desempenho entre os alunos. 2a Pesquisa de campo - situação do Supletivo Neste item checou-se de perto o ambiente de trabalho deste profissional de ensino, seus anseios, suas mágoas, suas frustrações e principalmente a vontade de mudar e libertar o Ensino Supletivo dos rótulos de "margi nal" e "ineficiente". Na parte final apresentam-se as conclusões, onde se pretende ter chegado ao objetivo da Pesquisa: o levantamento do Perfil do Professor de Ensino Supletivo. Há ainda, na parte de anexos, o total particularizado, em cada Nucleo de Educação Comunitária, do numero de escolas, professores e alunos. Na parte de Conclusão a sugestão de uma Proposta Pedagógica. Como toda proposta não deverá ser cogitada sua implantação, mesmo a nível experimental, sem antes ser submetida aos principais interessados: professores, especialistas em Educação e alunos. Uma das categorias de análise trabalhada na Pesquisa de Campo e, posteriormente analisada, foi a linguagem utilizada pelos Professores de Ensino Supletivo. Procurou-se, atraves desta categoria, desvendar os misterios que envolvem as relações deste profissional com o Sistema de Ensino, seus pares e alunos. Este trabalho tenta mostrar toda a carga simbólica, representativa no uso da linguagem a nível pedagógico. Não se espera ter esgotado o assunto estudado, pelo contrário, pretendeu-se abrir um espaço para uma discussão mais ampla, onde outros possam, de alguma forma, contribuir para a melhoria deste setor de ensino.

Globos e mapas ao alcance das mãos : ensino de matemática numa perspectiva de alfabetização funcional na EJA

The following dissertation has as its main advantage the privilege of visualizing the literacy processes through the angle of the functional perspective, which does not see the literary process as a practice solely based on the decoding of alphabetical codes, and then allows for the opening of ample spaces for the allocation of mathematical skills in the realms of the functional literacy. The main object of this study was to investigate which are the contributions that a sequence of activities and of methodologies developed for the teaching of Geometry could provide for a part of the functional literacy process in mathematics of youngsters and adults of EJA, corresponding to the acquisition or to the improvement of skills related to the orientation capacity. The focus of the analyses consisted in the practice of these activities with the young and adult students of an EJA class belonging to a municipal public school of Natal/RN. The legacies of Paulo Freire about the redimensioning of the role of the teacher, of the students, of the knowledge and of their connections within the teaching-learning process, prevailed in the actions of the methodology implemented in the classroom and, especially, in the establishing of dialogic connections with the students, which directed all the observations and analyses regarding the collected information. The results indicated that the composition of articulations between the teaching of mathematics and the exploration of maps and the earth globe enabled the creation of multidisciplinary learning environments and situations, where we could observe, gradually, the development of procedures and attitudes indicating the evolution of space-visual type skills

Tear identitário:a prática docente em arte como conhecimento compartilhado

This investigative tissue is about the formation of identification processes of teachers and pedagogical practice of Art, in Teresina city. This search comprised the sum of the needs presented, agreed upon with the teachers engaged in the process, it was developed through the establishment of interactive environment Loom Team where collaboration and critical reflection were steering actions to promote the understanding of existing connections or relations within the processes of identifications and the pedagogical practice of Art. The tissue is formed by the polyphonic plot of the critical reflection of nine teachers of Art who engaged voluntarily and this investigation of formative nature and a production of knowledge. All these teachers have degree and the course of artistic education and especial qualification in Fine Arts and/or Drawing. The texture, which we denominated Identification Loom: The pedagogical practice of Art as share knowledge is (de) (re) construction of knowledge resulting from the critical reflection, in an environment of collaboration, which may have implications and ethical political attitudes in the pedagogical practice of the group. Within this context, we pose the following question: - How does the pedagogical practice in Art influence and/or be influenced by the identification processes of the teachers, and how do they interfere with the search and manifestation of the knowledge involved and the investment in professionalization? In view of this query, we make use of the cooperative investigation, having social history as theoretical reference and as analytic perspective of interactive and dialogical-reflexive processes. Thus, social historic theory, cooperative approach and pedagogical practice were the major components of the plot. The methodological texture counted on the threads of dialogical reflexion, of mediation and of collaboration. The conceptual formulation, the recording in videos of classes and the narratives of formations were the main threads of the analytic substrate of the investigation. With this articulation, theses threads appear as developers of processes leading to a major approximation of the thought on the identity/alterity dialectical pair of the participants involved. The language within this plot had a decisive importance in all the moments of the search of signification, embracing and connecting the identification/alterative processes, the pedagogical practice of Art and the knowledge shared. In such processes involving (de) (re) construction, one can notice a close correlation of the triad social identity, pedagogical practice and knowledge shared. For this reason, the vigotskian, guetmanovian and kopnian theoretizations were the major framework for the analysis of conceptual formulations; and, as for discourse analysis, Baktin and Orlandi were our masters. For these teachers, the experience shared throughout the process of this typology of tri-axial investigation focused the experience of many theoretical and practical assumptions. Such an experience enabled them to state that this, with collaboration, can make reflection on the practice a starting and promoting element, within the individual level of self-management, in addition to being a space of (de)(re)construction of meanings, of knowledge and of reinvention per se

O ensino da história e o pensamento reflexivo-crítico da professora no 3º ano do Ensino Fundamental

This collaborative research is a qualitative approach, from historical and cultural perspective, made about a teacher of third grade of basic education in the area of history, in the municipality of Caicó / RN. It has as objective to investigate, in a collaborative action, if the design process of teaching and learning the discipline of history based on the relationship before / after allows the development of critical reflective thinking of the teacher in school practices. The theoretical and methodological approaches are supported in the postulates of Vygotsky (1998), Rubinstein (1973) and Linblinskaia (1979), among others, whose understanding has led us to reflect if the teacher develops the reflective critical-thinking in history discipline classes. The complexity of the study led us to an analysis exercise, using different methodological procedures, such as: bibliographic review of the literature, considering also the literature of the history area, interviews, observation in the classroom, video recordings and reflective sessions, enabling clarify the construction and reconstruction of thought that the teacher had been developing during the process of teaching and learning. The test results point to a dichotomy between theory and practice, and also to a certain fragility in the position of professor in teaching and learning the discipline of history, at the third grade of basic education. The teacher recognizes that she requires a theoretical deepening with more intensity, as a process of continuous training to improve the practice of teaching in history school, though, stating in her speech that her teaching practice is based on critical reflection. However, she presents serious limitations in classroom practices. We conclude that, although she has shown willing to work on a critical perspective of reality, showed also poor change at school practices, starting to reflect about her own actions, pointing her limits and the changes needed that didn t become reality yet. It s necessary a formative process for her. The study therefore showed that even with the sessions and reflective of deepening theoretical studies, the teacher does not change its profile, while maintaining its traditional vision in any pedagogical action. This research recommends the formation of school groups for further studies and discussion on the practices of education in history area from a reflective-critical thought perspective as a mean of personal and professional development

Ser professor de português: o que dizem os discursos reguladores, os alunos e os professores no contexto da formação inicial (UMINHO/Portugal e UFRN/Brasil)

The constitution of being a teacher of Portuguese occurs in a dynamic process involving various factors, such as the requirements of regulatory documents, the context of teacher formation, and the configuration of current society, per se. This study is aimed at reflecting on the initial formation of teachers of Portuguese and on official documents that face this formation, raising the following questions: (1) what does it mean to be a Portuguese teacher? (2) what is the vision of the subjects (teachers and students) involved with the formation of teaching the Portuguese Language? (3) how do these individuals deal with official documents? and (4) how do these subjects discourses relate? To understand the context of the formative processes and the knowledge inherent in them, first we take the studies of Garcia (1999) and Tardif (2002) as a theoretical framework, and to understand and interpret the utterances of the interviewees, we were grounded in the writing of Bakhtin (2003), for whom the object of the Humanities, the sciences of man, is the text, since man is, by nature, an expressive being. We situate this study in the framework of qualitative research. It is a multiple case study that focuses on two contexts: formation of teachers of Portuguese at the University of Minho, Portugal, and the Federal University of Rio Grande do Norte, Brazil. The data that make up the research corpus come from documents elaborated by the Ministries of Education of Portugal and Brazil and were adopted by the two teacher formation institutions cited, from individual interviews involving eight trainer teachers (four from each university), and from two group-interviews (one in each institution), done with students in training. Our analysis is divided into three stages: first, document analysis; second, analysis of the discourse of the teachers in both contexts studied; and, third, analysis of the speech of the students in training. It is noteworthy that our purpose in this research was not to come out with a definition like being a teacher of Portuguese is X, but we are interested, above all, in discussing the issues surrounding initial formation, seeking different points of view, and hearing voices coming from different social positions for better understanding our object of study. Our analysis reveals that the initial formation of teachers of Portuguese, both in Portugal and Brazil, occurs in a complex way, under the influence of various factors, including: (a) difficulties in having the individuals involved adapt to the demands of regulatory agencies; (b) students and teachers adequacy to the organizational model of the post-secondary institution; (c) teachers difficulties to deal with the learning problems of students who have limited schooling basis and come from distinct socioeconomic realities; (d) a search for the establishment of methodologies for teaching and learning the Portuguese Language more adequate to reality; and (e) a search for a definition of professional knowledge needed for the teaching practice

Habitus, representações sociais e a construção do ser professora da educação infantil da cidade de Campina Grande - PB

We present here the results of a study whose objectives were to identify the social representation of being a professor of early childhood education in Campina Grande - PB, in the public state and municipal levels, and detect structural diagrams of a possible mental habitus of professorial faculty of education child, which would form the basis for the construction of this representation. As a theoretical base, we adopted the model developed by Domingos Sobrinho (1998, 2000, 2003, 2010, 2011), which articulates the Theory of Social Representations, Serge Moscovici, and the foundations and concepts of Pierre Bourdieu praxiology. It is based also on the Central Nucleus Theory, which focuses on the structural approach of social representations. Thus, puts in evidence the relational dynamics and symbolic, through which individuals come into contact, describe, understand and reproduce the outside world in his image and likeness. 199 teachers participated in the study of child care and pre-schools of Campina Grande - PB and 109 of the state. The methods and techniques used were: a) participant observation of everyday life of teachers of kindergartens and preschools, b) semi-structured interview, c) free associations of words with inducing the expression 'being a professor of early childhood education is ...' and d) semi-structured questionnaire. The data were analyzed in the case of interviews through the categorical content analysis, as proposed by Bauer (2010); free-associations, using the software Ensemble L'Analyse des Programmes Permettant evocations (EVOC), developed by Vergès (2002), which combines frequency and average order of recall (or association) and the questionnaire data, the Statistical Package for the Social Sciences (SPSS). It was verified the existence of a unique social representation shared by the population studied, but its content is structured differently. For local teachers, the centrality of the content is given by the elements commitment, dedication, responsibility, and rewarding teachers for this state revolves around the elements of love, patience, and rewarding responsibility. However, it is constructed mainly based on the related produced by a religious habitus and maternal habitus, which are part of the genesis of the establishment of professorial habitus in focus, among other cultural references of secondary influence. We conclude that a teacher of early childhood education actually researched, is materialized in the practices of educating and caring, in a clear fusion of the role of teacher and mother

Da representação social do ser professor da EJA à descoberta de seu aluno como referente

Evidence of learning object like representation to social teachings that active in the education of young and adult with the point of view of the ―To be teacher‖ in this modality of teaching, to direct the intention, this research is way, understand the existence of this representation in center acting teachers in the initial periods of the EJA in the Rio Grande do Norte and its reasoning the theories of social representation (MOSCOVICI, 1978, 2003; JODELET, 2001; ABRIC, 1998). We interviewed one hundred and ten (110) teachers who work at schools in the Metropolitan Regions of Natal. We use two procedures: focal group (GATTI, 2005) and multiple classification analysis MCA (ROAZZI, 1995).Thus us with the focal group, attended by eight (08) teachers and seek to know understanding their ideas about EJA, what was possible from the content analysis (BARDIN, 1977; FRANCO, 2007) of the following category: the teacher s view of the EJA context. Developing the MCA, we met twenty (20) teachers in the first stage, free-word association technique FAT (ABRIC, 1998), and ninety in the second stage, including the participants of the focal group. The results of this procedure were submitted to multidimensional analysis and content analysis. The first showed three facets: having and being teacher dimension (ideal), which was about the example teacher s characteristics and behaviors; teacher/ student relation which was about the difficulties and doubts of this relationship as well as its success; at last, conflicting dimension from/ with practice, based on the conflicts experienced by the teachers as EJA workers. Content analysis based on the theme organization from the interpreted data showed four categories: resources to be a teacher which also brought out the definition of an ideal teacher; talk about teaching which disclosed teachers thoughts about the knowledge and being a teacher; obstacles to EJA which showed situations and conditions that prejudice EJA development; and also admission as EJA teacher: viewing reasons which revealed the reasons why teachers went to EJA even though they were formed to deal with children. The conjoint analysis us evidenced the little the dominion of the teachers a participation these search at respect of origin, of the meaning of the character while the singular of EJA modality of teaching the conformation of the social representation from the ―To be‖ on the general vision dissociating with it of inexistence of a social representation of ―to be teacher of the EJA‖ white striking element in the reference at singularity that define the related modality of teaching

A formação de conceitos no ensino de graduação em enfermagem à luz da teoria da aprendizagem significativa

The Theory of Meaningful Learning (TML) described by David Paul Ausubel offers a proposal for the teaching strategies to provide a more active and effective student learning. The projection of the TML practice is demonstrated through the development of concept maps (CM) technique, created by Joseph Donald Novak, which presents as a strategy, method or schematic feature, which is an indicator to identify the cognitive organization of the knowledge acquired by students. The survey was conducted in the light of TML in relation to learning concepts involving students of undergraduate nursing in a public university in the state of Rio Grande do Norte. Thus, the study aimed to compare the concept learning of students of undergraduate nursing, when subjected to different forms of education, to point approaches that promote more effective and meaningful results. It was a quasi - experimental study with a qualitative analysis, conducted with students of the Undergraduate Nursing of the Universidade Federal do Rio Grande do Norte (UFRN), approved by the Research Ethics Committee/UFRN Certification of Presention for Ethics Appreciation (CPEA) in 11706412.3.0000.5537. The study took place at two different times and involved content on complications mediate postoperative surgical wound in the same discipline with students who attended the 5th semester of the degree course in Nursing. For the viability of data collection, in the second half of 2013, we used the technique of CM, to represent the concept of complications mediate postoperative surgical wound covered in the classroom. CM were built at a different time from that of the discipline, with the support of tutors and preceded by a brief description and explanation about the form of preparation and application. In this study were subjected, 31 students of undergraduate nursing, registered in the discipline of Integral Attention to health I. In the first stage, 18 students participated in the survey, they had the teaching intervention based on TML, and in the second stage, all students participated in the lesson provided curriculum with the responsible teacher of the subject, on the same issue occurred. At the end of each meeting, the students 11 developed concept maps with the aid of software Cmap Tools®. Data analysis happened upon the technique of content analysis, supported by a conceptual map "glass", previously developed by researchers and aid in the preparation of the categories in which the concepts found were classified. The study found that the teaching intervention based on TML with the help of CM, managed to develop in students a more expressive teaching learning process than just classroom curriculum with the traditional teaching method, and also that the association between the intervention motion teaching with the traditional method and the use of the technique of CM encourages the student the ability to articulate the various acquired knowledge as well as apply them in real situations

A modelagem matemática como alternativa de ensino e aprendizagem da geometria na educação de jovens e adultos

This is work itself insert in the mathematics education field of the youth and adult education to aim to practitioners of the educational action into the mathematics area performing to with this is teaching kind, adopting to as parameter the Mathematics Molding approach. The motive of the research is to draw up a application proposal of the molding mathematics as teaching and learning geometry alternative in the youth and adult education. The research it develops in three class of the third level (series 5th and 6th) of he youth and adults education in the one school municipal from the Natal outskirts. Its have qualitative nature with participating observation approach, once performing to directly in to research environment as a mathematics teacher of those same classes. We are used questionnaires, lesson notes and analyses of the officials documents as an basis of claim instruments. The results indicates that activity used the mathematic moldings were appreciated the savoir-faire of the student in to knowledge construction process, when search develop to significant learning methods, helping to student build has mathematics connections with other knowledge areas and inside mathematics himself, so much that enlarges your understanding and assist has in your participation in the other socials place, over there propitiate to change in student and teacher posture with relation to mathematic classroom dynamics

A Informática como recurso didático para a aprendizagem de Física no ensino médio

The accomplishment of this work was motivated by our concerns, while teacher of Physics discipline, in the medium teaching and in the higher education, where we have been observing a lot of difficulties in the students' acting, to the they try to give pursuit out to their studies of the classroom, because of the lack of appropriate equipments, or even, of a laboratory where they can put in practice the studied contents. The work aims at to build and to test an educational software that it serves as tool auxiliadora in Physics learning in the Medium Teaching, in the area of electricity, with emphasis in the study of the electrodynamic in resistors. The developed software comes as an alternative to the learning problems, putting the computer science as auxiliary tool, because, besides being an alternative in the middle of the technological expansion, endowed with several resources, it stimulates the significant learning, according to David Ausubel's perspective. A software containing a program destined to the applicability of physics contents in the branch of the electricity is presented as an auxiliary tool, where the student can, not just, to review the contents presented at room, as well as for in practice, through a virtual laboratory, some of these contents, besides testing their knowledge through a bank of discursive subjects. The evaluation of the developed software was made submitting him/it to the professionals' of physics area appreciation. Equally, through continuous evaluations, they were made comparisons among the students' of five different groups acting, in the same school, that you/they were used of the program as tool of his auxiliary learning, and the acting of those that didn't use it