Estudos da relação entre fromaçãodocente e desenvolvimento do pensamento: redimensionando o olhares

Este trabajo trata de un estudio sobre la relación entre la formación continuada de los profesores y el desarrollo del pensamiento teórico. Es nuestro objetivo comprender la relación entre la formación profesional de los profesores de los años iniciales de la Enseñanza Primaria y el desarrollo de su pensamiento. En términos específicos pretendemos reconstruir los procesos formativos de las profesoras, identificando sus necesidades y los elementos que interfieren en su práctica pedagógica; diagnosticar la fase del desenvolvimiento del pensamiento y dar inicio al proceso formativo de desenvolvimiento del pensamiento; además de analizar la conexión entre ese proceso y la elaboración conceptual, tomando como referencia el concepto de pensamiento. La referencia empírica se constituye de profesoras de la Escuela Municipal Professor Arnaldo Monteiro Natal/RN, que actúan en los grados iniciales de la Enseñanza Primaria y da Educación Infantil. Para desencadenar el proceso investigativo utilizamos como referencial teórico el materialismo histórico-dialéctico como método para análisis de los fenómenos, por entender que a través de esa lógica es que podremos buscar los elementos que nos darán sustentación a una mediación pedagógica que puede posibilitar mayor eficacia en la comprensión de los fenómenos. Recorreremos a pesquisa colaborativa, una vez que es nuestra intención desenvolver una acción investigativa compartida, teniendo en vista buscar medios para resolver los problemas que la práctica pedagógica nos impone. La investigación colaborativa posibilita al sujeto partícipe reflexionar, ser investigador y co-constructor da su práctica. Así, algunos procedimientos metodológicos fueron considerados adecuados para que pudiésemos alcanzar los resultados deseados, como Reuniones, Sondeado Diagnóstica, Ciclos de Estudios Reflexivos, Sesiones Reflexivas y la Autobiografía de Formación. Ni todas las profesoras están en el nivel de elaboración conceptual, en función del proceso vivido a lo largo de nuestras vidas, aún así, toda a trayectoria de la pesquisa posibilitó la descubierta de aspectos significativa sobre nuestro objeto de investigación. Para hacer el análisis de ese proceso nos utilizamos de las teorías de Vigotski, Guetmanova, Kopnin, Rubinstein. Podemos decir que, en la perspectiva de la colaboración, la reflexión sobre la práctica puede desencadenar una nueva mirada del profesor sobre su proceso de formación, el desenvolvimiento de su pensamiento y la acción desarrollada con su alumno. No fue posible verificar, en la práctica, los resultados de nuestro trabajo, ya que, ese no era nuestro objetivo, mas nuestras fallas presentan mudanzas teóricas significativas. Entretanto, resaltamos que las conclusiones a que llegamos están lejos que se acaben , una vez que es un tema complejo, que puede posibilitar el surgimiento de nuevos estudios, de nuevas pesquisas, de nuevos conocimientos

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

Como se fora brincadeira de roda: a ciranda da ludopoiese para uma educação musical humanescente

The present work concerns an auto-ethnographic study based on life experiences and reflections of an educator at Escola Viva Preschool and Elementary-Middle School, located in the city center of Natal, Rio Grande do Norte. As a cognitive model of operation, we use the metaphor of the Circle Dance. The objective of this study is to identify, interpret and describe the ludopoetics that are achieved through a Musical Education program, which we denominate, Humanescent. The data of this investigation was derived from the music making by Preschool and Elementary-Middle School students at Escola Viva during 2007, 2008 and 2009, from which 20 learners were selected to form the corpus, along with the description and interpretation of photos of their experiences and sand tray scenes. We justify the methodological systemization of the research based on our own pedagogical practice, which supports Musical Education in the schools based on the principals of Embodiment, Autopoesis and Flow. The methodological systemization was developed through an Action Research model and on the concepts of Systemic Development, with the goal of re-reading the context investigated through the structuring of categories of Ludopoesis: Self-esteem, Self-territory, Self-connectivity, Self-realization and Selfworth. We used an observant-participant research approach with regard to the perception of emergent knowledge, the surroundings, the experience lived and the contextual and vibration of the circumstances. Besides this, we used projection to interpret the experiences lived, in the form of drawings, short poems, letters or sand tray scenes as symbolic interpretations of experience. In the unfolding of the Ludopoetic Process (Selfesteem, Self-territory, Self-connectivity, Self-realization and Selfworth) we draw conclusions about the relevance of the ludic musical experience, which foments the formation of the self based on music learning, and which is demonstrated in the Embodiment of the learners. In the auto-formative process (of learners and educators) we observe the importance of pedagogical work based on Musical Humanescent Education that gives value to the music making path to the construction of music and performance in play, creativity, and sensibility. The experience of making music in a playful way allows for organization of the self and its autonomous production in the joy of living within a ludopoetic process. These findings highlight the educator as in a permanent state of selfformation, which generates moments of flow. However, in Musical Humanescent Education, music is learned collectively, doing a circle dance, experiencing love, fostering an expansion of the creative spirit, and giving recognition to playfulness as a necessary condition for education and to the value of music made with the true nature and sensibilities of the educators

A escrita e a criança com síndrome de Down: uma relação possível na escola regular

The school inclusion is based on respect for diversity and the belief that everyone has the capacity to learn and develop, for this the school needs to prepare itself to meet the differences and provide a meaningful learning for everyone, including those with Down syndrome. It is in the interaction with others that children develop their skills and exchange substantial experiences to learn the school and non school knowledge. Among the knowledge the school must offer students, there is one that is indispensable to the present society; the writing, because writing is a way to Interact, to communicate and to build autonomy to relate in society. Before exposed, the research that started this study aimed to investigate the level of the writing conceptualization of children with Down syndrome during the literacy process in a regular school of the private school network in the city of Natal/RN. For carrying out this study, initially we conducted a qualitative research, using the bibliographical as a methodological recourse, seeking to the deepening of information, based on the literature about the subject, which allowed us to collect data about people with Down syndrome, their education and the process of the writing acquisition. Later, a case study was performed, involving free observation in the room and interviews with teachers and children, trying to verify how this writing acquisition process occurs by children with Down syndrome. The data analyzed and information recorded demonstrated that the school inclusion, when taken seriously, benefits the learning of writing for children who have intellectual deficit, and, mainly, they develop in this environment and are able to learn to write, as long as their own pace are respected

Um estudo sobre o estágio supervisionado na formação inicial de professores de matemática na Bahia

This work arose from our concerns with the issues of teacher training for early childhood education. From the difficulties encountered as a novice teacher in elementary, we deem important to research training needs of these professionals. Thus, we define the objective of this research to investigate the training needs of novice teachers teaching Early Childhood Education/Elementary school. Our work fits in Educational Research Qualitative Approach, and its construction procedures of the semistructured interview data and document analysis. Our empirical field was made up of schools in the metropolitan region of Natal / RN, offering kindergarten / elementary school. The subjects are five teachers who act as holder of the elementary school class and have 0-3 years of teaching practice, characterizing the second Huberman (2007) as novice teachers. Data analysis, based on principles of content analysis, three themes emerged: Beginner Teaching Professor in Early Childhood Education / Preschool; Reasons explaining the difficulties Faculty / Formative Needs Teaching and Training in Early Childhood Education / Elementary school, from the Training Needs Analysis, with their respective categories, subcategories, contributing to our understanding of the subject matter. The entry into the profession is marked by mixed feelings of euphoria and fear, where there seems to be a "clash" with reality. The difficulties are related to the planning / execution of activities, meet the individual needs of learning and assessment of children. As a strategy to overcome the difficulties the teachers exercise the action-reflection-action in their practices and seek continuous updates in the theoretical and methodological framework of early childhood education. The reasons that define these difficulties may be related to the teacher, school, family, and students of these institutions. In experiencing these difficulties has outlined the need for teacher training, among which stand out studies on ethics in teaching with children, the concept of children and their childhoods, peculiarities of teaching / learning in preschool, toys and legal determinations on early childhood education, multi-language and expressions in early childhood education, specific content areas of knowledge, among others. Furthermore, studies on the theoretical as Piaget, Vigotsky, Maria Carmen Barbosa and Emily Smith. For these professionals to be a professional early childhood education is: like children, be patient and careful, have specific theoretical and practical training for teachers in kindergarten, being able to improvise with seriousness and competence and get updates on continuing education. The surveys, together with the authors and teachers, to confirm our understanding that the training needs of beginners may be related to shortcomings in the initial and continuing education

É preciso estar atento: um estudo da relação entre desenvolvimento da atenção e aprendizagem

Se discute en este estudio la relación entre o desarrollo de la atención y el aprendizaje de la lengua escrita realizada con los alumnos del 5º grado de la Enseñanza Primaria, compuesta de 25 alumnos, con la edad entre 9 e 13 años, de la Escola Municipal Professor Arnaldo Monteiro Natal/RN. Para el desarrollo de este proceso investigativo, utilizamos como aporte teórico el materialismo histórico-dialéctico, pues ese método posibilita el análisis de los fenómenos y, a través de esa lógica, se revelan los elementos que dieron sustentación a la mediación pedagógica y comprensión de los fenómenos con mayor eficacia. También fueron usados los estudios de Vigotski (1991), Rubinstein (1973), Ferreira (2003), Ibiapina (2007), y otros que convergen con ese posicionamiento. Se adoptó la pesquisa colaborativa que supone la construcción de un objeto del conocimiento entre investigador y profesor y también asocia al mismo tiempo actividades de producción del conocimiento y de desenvolvimiento profesional, proponiéndose una mediación entre comunidad de investigadores y comunidad de profesores. Utilizamos como elementos metodológicos el diagnóstico de la atención, el diagnóstico de la producción escrita del texto narrativo, siguiendo las etapas elaboradas por Infante (1998), los diarios reflexivos, el planeamiento y las sesiones reflexivas (con alumnos y con los pares). Para análisis del desarrollo de la atención, utilizamos las categorías definidas por Luria (1991): volumen de la atención, estabilidad de la atención, oscilación de la atención. El análisis de la producción textual tuve como parámetros las categorías de cohesión y coherencia (COSTA VAL, 1999). Para esto, se reflexionó con ellos sobre la importancia del desenvolvimiento de la atención para aprendizajes más efectivas. Propusimos situaciones de aprendizajes que posibiliten el desarrollo de la atención de esos alumnos y el dominio de la producción textual; y se analizaron las interrelaciones entre desenvolvimiento de la atención y la producción de textos narrativos. Los resultados presentados en los textos permiten afirmar que es notoria la relación entre la atención y el aprendizaje de la escritura. Vale resaltar que la reflexión no puede tener un fin en si mismo o entonces ser usada apenas para justificar una acción, mas debe tener como objetivo mejorar la enseñaza y tornar los profesores más conscientes y, por lo tanto, más capacitados para ejercer su profesión

O ensino de artes nos anos iniciais do ensino fundamental: (re)pensando a prática docente

This paper aims to investigate the formative needs of Elementary School Arts teachers at municipal public schools in Natal, Rio Grande do Norte, working in the initial grades. The research was developed using the qualitative approach and the investigation can be classified as an action research-inspired collaborative, distinguished by mutual collaboration among all participants, as well as a reflection upon their practice. Conducted with four Arts teachers of Municipal Education de Natal/RN, this work triggered a (re)thinking of teaching practice in Arts, discussing the teachers' formation and encouraging a group reflection about their academic and professional path. Their motivation towards teaching was also discussed, as well as the way their progress as Arts teachers and the contributions and limits of college education, also including experiential knowledge as a possibility of formation. The main formative needs suggested by the research were knowledge on child development and child learning, and the need of an Arts curriculum proposal for the initial grades of Elementary School. From those data, a reflexive context was built with the participant teachers to give a new meaning to Arts teaching practice in the first years of Elementary School. Finally, it was shown that the Arts teacher formation must be broad and involve not only specific knowledge on Arts, but also knowledge about childhood. It was also clearly shown that a curriculum review in education undergraduate courses must be considered, besides the offering of a continual formation to teachers already giving classes. Concerning the Arts curriculum proposal, it should be done based on a work joining officials of Municipal Education, research and formation institutions and teachers working in the first years of Elementary School. Finally, the work highlights the Arts are essential in all levels of Elementary School, since its first years, and it must be taught and learnt since childhood

Da resistência à ação política, a educação pelo consenso: a ação educativa de Pe. Sabino em Mãe Luiza Natal/RN

This study focuses on a methodology of unchained action by Father Sabino Gentili in Mãe Luiza, suburb of Natal-RN, which has enhanced social participation in what Castells calls project identity. The perception of collective actions, focused on the development of subjects from the perspective of Alain Touraine occurs continuously in a popular neighborhood, whose history marked by conflict mainly related to the resistance in the remaining living space. It is argued that there was an appropriation of resistance identity, which was already present in the community of Mãe Luiza, in order to channel it to create a project identity, through an implicit methodology that has been identified as Pedagogy of Consensus, based on Paulo Freire s concepts of dialogue and participation. Therefore, by means of qualitative research, using tools such as semi-structured interviews and documented sources, we tried to describe the intent of the action of a social actor and the political and educational strategies that motivate the collective action aiming a social change, observing the elements present in this action that allowed the continuity of organizational and participating processes through the dynamics of Mãe Luiza s neighborhood

A aproximação entre educação escolar e trabalho: a experiência da Casa do Menor Trabalhador

It aims to consider the possible relationship between formal school education and work, from the experience of the State School House of the Minor Worker CMT of Natal-RN in this first decade of the 21st century. In this institution, children and adolescents are enrolled in the Fundamental Teaching sponsored by the State Public System studying the regular curriculum contents defined for this level of teaching, and in the opposite shift they take part in career workshops which are kept by members of a religious congregation. CMT has had as its object, since its foundation, to take children and adolescents from the streets and to provide them with a full time education associating basic education and training/qualification for the job market. In our research, we tried to learn a little bit of the expectations, concerns and knowledge of the young participants of two workshops: carpentry and bakery, so that we could gain sufficient understanding of the learning process of these youths, while still keeping an approximation with the reality of the aforementioned subjects. It was possible for us to conduct a description of the contexts and of characteristics of the subjects which make up CMT, capturing concrete aspects and aspects of the thoughts of students, teachers, instructors and coordinators. The main point of our research was: how does the approximation between formal school education and work take place in the House of the Minor Worker? To search for possible answers we have made use of basic techniques for the data construction - questionnaire, observation, conversation groups, assessment drills which allowed an approximation and a good dialogue with the participants. We also discussed the job world in the context of the capitalist exploration, from the contributions of Mèszáros (2005), Frigotto (1989); (1993); (1999); (2002); Ferretti (1994); (2004); Kuenzer (1989); (1997), in order to understand the skills demanded of the worker and the necessity of an education which allows the professional qualification of youths eager to enter the job market, through the first job. In this perspective, the study that we have systematized here aims to show the relevance of an education which manages to take a firm and conscientious stand in connection with the hegemonic capitalist project and to provide for a humane, ethical, responsible, critical and civic background

As relações de poder na gestão da Escola Estadual Presidente Kennedy em Natal/RN: as ações decisórias dos órgãos colegiados - o conselho de escola e o caixa escolar

The present study examined the relations of power in the management of the Escola Estadual Presidente Kennedy, including the deliberate decisions on the School Council and School Fund, which guided the organization of the school. We sought to understand the management models that influenced the school organization, promoting contradictions in the decision making process. The school management is intensely marked by management models from the business logics as in the case of managerialism of bureaucracy. The formulation of educational policies based on managerialism has proposed a school-centered management with intense accountability of the school community in planning and monitoring the public services. The influences of these models subsidize hierarchical power relations that undermine the actions of decision-making of the collegiate bodies for the democratization of school management. To develop a research on the power, the investigation was based on studies of Bourdieu and Foucault. These authors understand the power in a relational system in a double sense, both in terms of discipline and the possibility of resistance. A theoreticalmethodological matrix was developed focusing on literature review, document analysis, structured interviews with twelve representatives of the segments belonging to the School Council and School Fund, as well as observations in meetings with the production of field notes. It was found that power relations experienced in the organization and activities of the school boards are marked by changes in public management over the years, promoting the contradictions between the concepts of corporate management originated in the business logics and the perspective of democratic management subsidized by official legislative documents at the national and state levels. The observations in meetings and analysis of the records showed that representatives related to management (president and manager of the school) have a privileged position with regard to exposure of their propositions, and are more likely to take a position in the political game of the collegiate bodies of work. It was also seen that the irregularity of meetings, particularly of the School Fund meetings, limits the experience of operation of the representatives in discussions concerning the planning and monitoring the actions of school management. Reports from representatives of the School Council showed that certain segments related to the management recognize their power of decision, however others have little interfere in the decision-making process in order to expound the desires of those who are represented by them. In the School Fund, the analysis of the records and interviews showed restricted moments of the meeting of representatives, and these only being aimed at choice or approval of the implementation plan prepared by the school management. The results showed no indications of moments of reflection to study the best chance for applicability of resources. This collegiate body (School Fund) has a questionable action when planning and monitoring the applicability of the financial resources of the School. To sum up, it was found that the Escola Estadual Presidente Kennedy still lives hierarchical power relations that undermine the institutionalization of democratic management in the various representative segments may take place in the game of political decision-making processes necessary for the organization of the school

Sobre a ação do docente: os sentidos dados ao planejamento e formação continuada por professores de uma escola pública municipal de Natal

Este trabajo tiene como objetivo comprender los sentidos dados a la relación entre el planeamiento y el proceso de formación continuada por profesores de una escuela pública municipal de la ciudad de Natal (RN). La conjetura guía es la percepción de que los profesores parecen no concebir el planeamiento escolar como espacio de formación colectiva y continuada. Así, esta conjetura es motivo de reflexión a medida que el planeamiento puede ser visto como un proceso cargado por tensiones y conflictos estructurales reprimidos en la escuela. Nuestro principio teórico metodológico es una interpretación de múltiples referencias que parte de conceptos en diferentes modelos de análisis en la comprensión de una realidad en que diferenciadas dimensiones están entremezcladas. Adoptamos como metodología de investigación la Entrevista Comprensiva, en que el objeto de la investigación se construye por medio de la elaboración teórica de las hipótesis surgidas en el campo de la investigación. El investigador busca dominar y personaliza los instrumentos y teoría a un proyecto concreto de investigación, cuya imagen más cercana es lo que se denomina de artesanía intelectual . En el proceso de construcción comprendemos la necesidad de entender el registro de un saber social incorporado por los individuos a su historicidad, a sus orientaciones y definiciones de su acción en relación al conjunto de la sociedad. En este sentido, los profesores entrevistados comentan su entendimiento revelando sentidos sobre cómo hacer efectivo un planeamiento que atienda las realidades del cotidiano de los alumnos. Observamos en nuestros análisis que parte del grupo de profesores tiene consciencia de hacer del planeamiento como base del trabajo docente no apenas dirigido al aspecto práctico elaboración y ejecución -, sino relacionado a un proceso de otros aspectos simultáneos como la reflexión acción-reflexión sobre la acción. De este modo, existe la posibilidad de mejorar el planeamiento transformándolo en más dinámico y participativo a través de los proyectos de trabajo como alternativa de enseñanza y de acercar la práctica pedagógica a la realidad de los alumnos, por ese motivo el planeamiento diario es de fundamental relevancia, ya que el espacio escolar es complejo y dinámico. Sin embargo, percibimos que existe incomprensión del planeamiento como espacio de formación continuada en la escuela en consecuencia de prácticas sin reflexión, y por eso, el proceso de planeamiento tiende a ser visto apenas como técnico y no un proceso político que apunta hacia la acción reflexiva. Por estas razones surgen tensiones externas e internas, unidas a las incertidumbres del trabajo docente en el cotidiano escolar, asociada a los sentimientos antagónicos que pueden ser elementos que dificultan y limitan el trabajo profesional de los docentes, llevándolos a la improvisación. Los profesores sugieren la construcción de la propuesta pedagógica dirigida a la formación continuada, coligada a la introducción de una práctica reflexiva que considere a la colectividad, siendo incluidas la autonomía, la flexibilidad y la abertura del planeamiento, y resaltan la actuación mediadora del coordinador pedagógico como de fundamental importancia para fortalecer el trabajo colectivo en la escuela y de enfatizar practicas reflexivas

Quadrinhos nas aulas de ciências: narrando uma história de formação continuada

Located at the intersection of Science Education, Teacher Training and use of didactic Comics (HQ), the text aims to discuss the problem which thus sets: - What is the contribution of the incorporation of comics in the continuing education of teachers Natural Sciences of the early years of elementary school? - May be the comics for enabling science teaching? - How to contribute to a reflexive training of teachers of the early years? - In order to answer these questions, there was a collaborative action research in a school located in the city of Natal / RN, with three teachers who teach natural science in the early years of elementary school. The study involved the conduct of 13 meetings of in-service, under the focus on reflective practice, with the purpose of discussing topics underlying the teaching of science and the use of comics as a methodological strategy. All meetings were recorded on audio and transcripts. The teachers finally recorded the meetings by writing a portfolio. The teachers made use of 10 sessions with reading comics in science classes, which were video recorded and later watched by the educators in autoscopy sessions followed by individual interviews. From the collected data, several aspects that have emerged can be grouped into three categories: The difficult concept of science, teachers' work and the obstacles and possibilities of comics as a teaching strategy. In this sense, are woven assessments taking as its founding, look for the reflective and dialogic practices exercised in the classroom. In the analysis of the data, we can see the conceptual difficulties, methodological and pistemological questions of teachers for teaching science, but also the limitations of comic books for teaching. Learning more relevant appointed by the teachers is related to the importance of collective work to mitigate the training needs of teaching. Finally, signals that the HQ has a great potential for use in science classes, provided that the teacher conduct a careful planning for this, but that the meetings of continuing education promote moments of reflection on teaching practices that are capable of giving rise to new attitudes before the difficulties they depict

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

O currículo escolar: uma análise na perspectiva da inclusão de alunos com deficiência intelectual

A mid the many transformations and advances that the contemporary society is going through, the right to education is a topic that does not end and becomes increasingly present, given the urgency of including students with disabilities in education. Given this new reality, schools are challenged to receive them with quality, and implement actions that promote favorable conditions for their development at school. Accordingly, it is fundamental the organizational restructuring of education to meet the specific needs of students. Thus, it is imperative that educational institutions defining the type of person who intend to form and the society proposing to build. These are aspects that precede any question, since the knowledge covered in the curriculum will contribute directly to the creation of human beings are involved there. Based on this theme, this assignment reports aspects of a survey of a local public school, located in Natal/RN, which deals with the analysis of the curriculum and its implementation in teaching practice in the classroom, before the inclusion of students with disabilities intellectual. Thus, to undertake a study of case with five professionals at school, involving documentary analysis and observation of the curriculum of the pedagogical practice of teachers in the classroom, as well as conducting an interview with all stakeholders. To this end, the data analyzed shows that, although the right of citizens with disabilities is guaranteed by constitutional law, the school, locus of this study, have not realized the extent of conquest. Does not recognize the fact of being in school and learn together with others is also a right of persons with disabilities. Thus, while your resume is to present a progressive vision, believed to be open, concerned with the selection and organization of content, with flexibility in defining the goals, with the search for diversification of the procedures adopted, as well as the planning activities teaching and learning based on the level of student learning, this is not effective in teaching practice, either through ignorance of the guidelines defined either by lack of knowledge about the proposal and an inclusive curriculum can provide answers to all educational students, including those with intellectual disability

Pensando e agindo: estudo da relação entre o dsenvolvimento do pensamento e prática pedagógica

Este trabajo, intitulado pensando y actuando: estudio da le relación entre el desarrollo del pensamiento y la práctica pedagógica del profesor, tiene como objetivo investigar la relación entre el desarrollo del pensamiento teórico y la práctica pedagógica de una profesora de la educación pre primaria que actúa en una escuela pública de Natal / RN, con niños de edades variables de cuatro a cinco años. En términos específicos, pretendemos propiciar la continuidad de un proceso de formación que le permita elaborar el significado de los conceptos que componen los conocimientos curriculares, específicamente, el concepto de familia; tener el dominio de los procesos y procedimientos lógicos inherentes al desarrollo del pensamiento y la formación del concepto; mediar de forma consciente y planeada las etapas necesarias para que se efectiven los procesos de elaboración conceptual propicios al desarrollo del pensamiento. Para desencadenar el proceso investigativo, utilizamos los principios del materialismo histórico-dialéctico mientras que para el método de análisis, porque comprendemos que, a través de esta lógica, es que podremos buscar los elementos que darán sustentación a una mediación pedagógica que permita mayor eficacia en la comprensión de los fenómenos. Recurriremos a la investigación colaborativa, una vez que era nuestra intención desarrollar una acción investigativa compartida, teniendo en vista buscar medios para resolver los problemas de la práctica pedagógica. La investigación colaborativa posibilita al sujeto participante reflexionar, ser investigador, coadjutor-constructor de su práctica. Así, algunos procedimientos metodológicos fueron considerados adecuados para que pudiéramos alcanzar los resultados deseados, como Reuniones, Planeamientos, Ciclos de Estudios Reflexivos, Observación Colaborativa, y Sesiones Reflexivas. Utilizamos la metodología conceptual de Ferreira (2009) como soporte para el análisis del concepto de familia elaborado. Para hacer el análisis de ese proceso nos utilizamos de las teorizaciones de Vigotski (2009, 1998), Rubinstein (, Liublinskaia, Ferreira, Freire, entre otros. Podemos decir que, en la perspectiva de la colaboración, la reflexión sobre la práctica puede desencadenar una nueva visión del profesor sobre su práctica pedagógica y el desarrollo del pensamiento de su alumno. Los resultados obtenidos nos muestran que este fue un trabajo bien sucedido en el sentido de que percibimos una relación estrecha entre lo que la profesora realizó y los aprendizajes adquiridos por los alumnos. El sentido que la participante da a su hacer posibilitó la abertura de caminos para el desarrollo del pensamiento, a partir del trabajo con la metodología conceptual, revelando la conciencia del significado de su acción, y dialogando con las necesidades del alumno y trabajando las. Destacamos la importancia de la colaboración y del proceso reflexivo para la formación y la práctica del profesional profesor y los aprendizajes adquiridos con relación al reflexionar crítico y colaborativamente, en la argumentación y en la reformulación de nuestras ideas. Afirmamos que lo que realizamos es apenas el comienzo de nuevos caminos que surgirán por la necesidad que tenemos de busca, de descubiertas, y por las ganas de desarrollar acciones productivas, propicias de condiciones para la expansión de la formación profesional y de la práctica pedagógica del profesor. Las conclusiones a que llegamos están lejos de que se acaben, ya que es un tema complejo, que puede posibilitar el surgimiento de nuevos estudios, de nuevas investigaciones, de nuevos conocimientos