Um estudo sobre a aprendizagem de números irracionais no ensino médio

The present study describes theoretical practical relationships between development and application of activities in Mathematics education. It s proposed a methodological approach to Mathematics in the first grade of Ensino Médio, supported by an experiment involving Irrational Numbers education by using constructive activities, applied obeying an educational sequence. Constructivism is used as an important theoretical reference in teaching learning process of Mathematics. The methodological intervention was done with two classes of students of the first grade of Ensino Médio, in two public schools, a state one and a federal one, located on the city of Natal, Rio Grande do Norte. The development, application and testing of the activities used on this experiment led us to think more profoundly about the value of constructivism ideas and understand that the use of activities that obey an educational sequence favors the learning. It s also discussed the research results, commented on a way to contribute to the advances of the proposal and it s more constant use. The participation and testing of the students were analyzed and judged using Skemp s Instrumental Understanding and Relational Understanding concepts. The results of the research were considered good, so we believe this methodological intervention can be used more frequently in the classes of Ensino Médio and also be applied to teachers in courses of initial education and continuous formation

O atendimento educacional especializado no processo de inclusão escolar, na rede municipal de ensino de Mossoró/RN

This dissertation aims to analyze the specialized educational services(AEE, Portuguese) implemented in four municipal schools of Mossoró/RN, with attention to the process of collaboration between regular classroom teachers and multifunctional resource classroom teachers. We use as theoretical reference the works of Vygotsky and others authors that write about education and collaboration. To accomplish the research we chose a qualitative approach, using as a methodological resources: study of cases, bibliographical, documental and field research. For the field research we make observations in regular and multifunctional classrooms. We produce group intervieus with regular and multifunctional teachers. From the analysis performed we identify that the concepts and the practices of teachers in regular classrooms changes, with integrationist predominance. The AEE s teachers had more inclusive conceptions and greater investment in continuing education than the regular classroom teachers. The practices of regular classroom teachers are more traditional, what makes the learning process more difficult for the students, even more for the students with disabilities and pervasive developmental disorders. Teachers of AEE was more interactive and creative, however, the attention to the students was more individual. In three of the four schools surveyed stand out the efforts of the teachers of specialist classroom to collaborate with regular school teachers, by notes, e-mails, phone calls and resource sharing. In one of the four was noted a good collaborative interactive between the AEE teachers and the regular school teachers. The school with the worst improvement was that in which the actions of the teachers of the AEE were limited to actions in multifunctional resource classroom. The resistance to these professionals was identified in the statements of the regular classroom teachers. Another issue raised was the lack of time for teachers to conduct AEE actions that contribute to the process of school students, because their working hours is restricted to the opposite turn in school. Transport difficulties for the students to attend the resource classroom multifunctional and the lack of dialogue with the health sector was challenges for the four schools. The families were with a practically constant interest to interact with the AEE teachers in the four schools. Thus, we believe that the presence of AEE school can make contributions to the educational process, however, it is necessary more attention to the collaborative process between teachers and the school community

Alfabetização de crianças e jovens: superando desafios da inclusão escolar

This work has its genesis in the life of a teacher. It contemplates the report of a great story that expresses the political will of anonymous people who sought/seek to overcome challenges and prejudices, a joint effort to make real the right to literacy. The reported story was developed in the Pedagogic Clinic Teacher Heitor Carrilho, Natal-RN which, concerned about the sentence of 'unable to learn the written language' attributed to children and young public school students, decided to invest in overcoming prejudices and fight against school failure of these underprivileged. The problem that motivated the study was thus set up: What particularities characterize a pedagogical practice which aims to teach literacy to children and youth from public schools, considered not capable of learning the written language? What theoretical and methodological procedures are shown as a boost to literacy in the development of a pedagogical practice systematically targeted to reflect the perspective of educating those students in public schools? Aiming to answer these questions, we conducted a qualitative research having as methodology, Life Stories and Research/Formation. For the construction of the data, it was decided to use the participative observation, semi-structured interviews and document analysis. Guided by the principles of content analysis the data analysis was built, from which emerged two categories: theoretical and methodological procedures aligned to the major axes of literacy and Procedures of the specific theoretical and methodological fundamentals of literacy. As subsets of the transverse procedures others were seized: didactic-pedagogic procedures; social affective procedures. Regarding these ones, the research shows the importance of the teacher to build a relationship of listening to the students and their families in order to organize the pedagogical work, looking at multiple dimensions of the subject: the intellect, the creative, the affective, moral, noting that between the methodology and didactics or as part of it, the links built represent great opportunities to promote literacy. Regarding the specific procedures, others were built: procedures that emphasize oral communication, procedures that favor writing and procedures that privilege reading. Under these procedures, the results of research show that you can only promote literacy if the teacher provides the students effective conditions of understanding the principles of alphabetical notation from the use of various kinds of texts, leading them to comprehend and use them in different contexts. Therefore, instructors must meet the learners' prior knowledge, their language, and the learning real needs that will bring new challenges consistent with their possibilities. The research confirms the importance of the Educational Support extra school. However, it is essential to emphasize that it is a function of the school to promote literacy for all students in the early years of schooling. It is recorded, however, that for the implementation of this desire, we must break the school model characterized by a rigid tradition, in which there is only room for those who learn the content taught in a minimum time. Unfortunately, despite the discourse of inclusion and ensuring the right to education, the school remains exclusive and selective separating the school learning of interpersonal relations and social integration and performance. On the one hand, research showed the difficulties of conducting studies and/or strategies that address the particularities of children and young people believed not capable of learning. On the other hand, the political commitment and motivation have increased the perception that it is possible to mitigate the existing deficits in the educational context, beginning with the everyday teaching practice, in which new knowledge can be learned, methodologies can be improved and, despite everything, the educational success can be built

Necessidades de formação de professoras principiantes da educação infantil/pré-escola

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

Trilhas da inclusão escolar percorridas por uma aluna com paralisia cerebral na EJA: concepções e práticas

On this qualitative study, it has been discussed the school inclusion paths done by a student with cerebral palsy, who we call Liz, and who was also the reference and indirect subject for this study. For the representation of landscapes found, it follows throughout historical, political and pedagogical paths, getting through the case study method references on the current Brazilian educational context, analyzing, which concepts are attributed to the inclusion and which practices are developed by educational managers and teachers in a regular school of the City of Natal/RN. The theory which based this research is supported on Vygotsky's central ideas (1991, 1997, 2004) and his followers. Furthermore, it was essential to bring to this investigative journey a literature which could dialogue with the most relevant aspects of the cultural-historical approach, emphasizing the assumptions of a progressive education tendency, which promotes the subject involvement of his/her work in the world and for the world. This way, it was necessary to seek for theoretical support on assistive technology and on alternative communication, in order to show the importance of establishing other communications, which is, to break away from the conventional pattern established by the school. On this journey it was used procedures for the data construction, such as: observation, conducting semistructured interviews and questionnaires; and document analysis that supported and legitimized the inclusion, besides the permanent field diaries record. On the access paths to this landscape it entered in the Youth and Adults Education (Educação de Jovens e Adultos - EJA), seeking to establish a dialogue among Youth and Adult Education and Special Education. It was verified that, still, there are large gaps in these policies articulation. Among the results obtained it was raised discussions on new scenery, in which Youth and Adults Education (EJA) emerges as prominent mode of the established relationships throughout the school inclusion process. There were target reflections on: the planning and evaluation systematic, the pedagogical articulation among the Youth and Adults Education (EJA) teachers and the multifunctional resource room teacher's actions and the continuous training importance of the educators involved. It was considered, therefore, that the necessary mediations for school inclusion may be sustained if the walkers are involved in a permanent contact with the nature of a proposal from the Special Education inclusive perspective

Um estudo sobre a aprendizagem de alguns conceitos algébricos e geométricos

The objective of the present work was develop a study about the writing and the algebraic manipulation of symbolical expressions for perimeter and area of some convex polygons, approaching the properties of the operations and equality, extending to the obtaining of the formulas of length and area of the circle, this one starting on the formula of the perimeter and area of the regular hexagon. To do so, a module with teaching activities was elaborated based on constructive teaching. The study consisted of a methodological intervention, done by the researcher, and had as subjects students of the 8th grade of the State School Desembargador Floriano Cavalcanti, located on the city of Natal, Rio Grande do Norte. The methodological intervention was done in three stages: applying of a initial diagnostic evaluation, developing of the teaching module, and applying of the final evaluation based on the Mathematics teaching using Constructivist references. The data collected in the evaluations was presented as descriptive statistics. The results of the final diagnostic evaluation were analyzed in the qualitative point of view, using the criteria established by Richard Skemp s second theory about the comprehension of mathematical concepts. The general results about the data from the evaluations and the applying of the teaching module showed a qualitative difference in the learning of the students who participated of the intervention

Ensinar/aprender a gostar de história: saberes docentes e construção do conhecimento histórico escolar com professores de Arez-RN

This dissertation aims to analyze the relevant knowledge in countryside History teachers practice in high school and understand how these teachers themselves construct school knowledge in History, from the mobilization of different knowledge that make up teaching practice. Tree teachers from State Jacumauma High School and the researcher himself worked together in order to carry out this survey. The main theoretical-methodological elements of this research are based on assumptions of a qualitative research in cooperation. This approach was used to make possible to construct knowledge between teachers and researcher considering a less oppressive relationship as well as to help a continuous school upbringing of the individuals what can make them to understand the professional practice as an aspect in which one can exercise autonomy and criticism. The empirical research procedures were oral individual interviews, reflexive sessions and cooperative observations. Individuals speeches have presented, in some moments, teachers concerns about the educational fragmented system in which there are few opportunities to dialogic interactions among educationalists making still more difficult the dialog between school and reality surrounds it. Their assertions pointed out that relevant knowledge can be identified during the daily educational work and that they find proper reasons from the aim that each knowledge exerts in relation to the construction of professional practice. Classroom connections points out to more intense interactions between teachers and students, by recognizing affection as an important tool in order to make the interactions not so authoritarian at all. Regarding the countryside teachers understanding, the school knowledge in History is produced by sharing concerns and senses assigned by the individuals who are involved in the teaching-learning process. The referential science knowledge pervade History teaching, however they take another meaning according to specific features of the school environment. The intense and complex dynamic of the educational context makes that historical knowledge acquires specific characteristics that are constantly changing. As they change, there are some marks of elaborations and re-elaborations not only the new but also the traditional

Avaliação da Usabilidade de Interfaces Web segundo Critérios Ergonômicos de Bastien e Scapin: Pesquisa com os Ambientes Virtuais de Educação à Distância Aulanet, E-Proinfo e Teleduc

Este trabalho tem dois objetivos: avaliar a usabilidade de três interfaces de ambientes virtuais de educação à distância através de duas técnicas avaliativas e identificar os fatores influenciadores da percepção de usabilidade dos ambientes avaliados. Os sistemas de educação à distância escolhidos foram o AulaNet, o E-Proinfo e o Teleduc, por serem desenvolvidos no Brasil e terem distribuição gratuita. A avaliação da usabilidade foi realizada através de duas técnicas documentadas na literatura. A primeira técnica de avaliação, do tipo preditiva ou diagnóstica, foi realizada pelo autor e um concluinte do curso de Sistemas de Informação do Centro Federal de Educação Tecnológica do estado do Piauí (CEFET-PI), mediante a observação de um checklist denominado Ergolist. A segunda avaliação, do tipo prospectivo, foi efetivada com o usuário sendo o próprio avaliador das interfaces, através de um questionário. A amostra foi composta de 15 professores e 15 alunos do CEFET-PI. Os resultados colhidos foram analisados a partir da estatística descritiva e testes de chi-quadrado. Os resultados mostraram que os ambientes apresentarem problemas de adaptabilidade, pois não possuem flexibilidade e nem levam em consideração a experiência do usuário. Na análise inferencial, foi constatado que o tempo de uso da Internet não afetou significativamente sua avaliação da usabilidade dos três ambientes, assim como na maior parte das variáveis de usabilidade não foram influenciadas pelo tipo de usuário , sexo e escolaridade . Por outro lado, em vários dos critérios ergonômicos avaliados, as variáveis de sistema tipo de ambiente e experiência com computador e a variável demográfica faixa etária afetaram a percepção de usabilidade dos ambientes virtuais de educação à distância

Balanced Scorecard como ferramenta de avaliação da consistência estratégica: um estudo em instituição de ensino superior privada

This Master of Science Thesis investigates in an exploratory modeling the idea of strategy consistency applying as an assessment tool a model of performance indicators of a higher education institution based on the balanced scorecard (BSC). It is carried on a review of conceptual BSC perspective hierarchy models and of studies on higher education institution in Brazil and worldwide. From a BSC model with three indicators at each perspective is carried on a case study with directors and coordinators of a private higher education institution with a descriptive and multivariate analysis using cluster analysis. The main findings point to a different perception of respondents on the importance level of the perspectives with a higher importance level given to Learning and Growth and Process that to Customer and Financial. Particularly, the financial perspective got a importance level significantly lower that the others, what suggests an inconsistency on the strategy deployment on the institution considered in terms of the perception of the managerial levels of the importance level of the perspectives

Uma avaliação comparativa de estratégias de arranjos físicos para estaleiros de construção de embarcações metálicas de pequeno porte

The present study aims to analyse, in different levels of demand, what is the best layout strategy to adopt for the small metallic shipbuilding. To achieve this purpose, three simulation models are developed for analyze these production strategies under the positional, cellular and linear layouts. By the use of a simulation tool for compare the scenarios, Chwif and Medina (2010) and Law (2009)´s methodologies were adapted that includes three phases: conception, implementation and analysis. In conception real systems were represented by process mapping according to time, material resources and human resources variables required for each step of the production process. All of this information has been transformed in the cost variable. Data were collected from three different production systems, two located in Natal RN with cellular and positional layouts and one located in Belém-PA with linear layout. In the implementation phase, the conceptual models were converted in computacional models through the tool Rockwell Software Arena ® 13.5 and then validated. In the analysis stage the production of 960 ships in a year vessels were simulated for each layout noting that, for a production of until 80 units positional layout is the most recommended, between 81 and 288 units the cellular layout and more than 289 units the linear layout

A química no ensino médio e a contextualização: a fabricação dos sabões e detergentes como tema gerador de ensino aprendizagem

El conocimiento químico es muy importante a la comprensión de procesos físicos y químicos que nos acercan, por una opción de una vida mejor con calidad, fomentando y acompañando el desarrollo tecnológico. Sin embargo, la formación de un pensamiento químico fruto de un aprendizaje significativo es hoy, en todo el país, un reto paro los educadores de química. Estúdios señalan la contextualización de los contenidos químicos como recurso para promover una interrelación entre conocimientos escolares y hechos/situaciones presentes en el cotidaiano de los alumnos, añadiendo significado a los contenidos escolares, proporcionando a los alumnos un aprendizaje significativo. Con tal objetivo, la siguiente pesquisa se realizó con la intención de contribuir con la enseñanza de química y con el propósito general de proponer un materila didáctico que presentase una forma contextualizada de trabajar algunos conceptos y contenidos fundamentales a la química, con tema generador de la enseãnaza y aprendizaje a la fabricación de jabones y detergentes. Con objetivo de justificar la elección del planteamiento de la contextualización y la elaboración del material didáctico, se hizo una pesquisa acerca de la enseãnaza de química en al red pública de educación y la relación de ésta con los contextos pertenecentes a la realidad de los alumnos. Se observó que la enseñanza de química actual en la red pública de educación es tradicional y descontextualizada. Los resultados de esta pesquisa muestran la necesidad de cámbios la forma de como se enseñan los contenidos químicos. En la segunda parte de la pesquisa, se produjo la elaboración de la unidad didáctica de enseñanza, con el objetivo de promover el aprendizaje significativo de conocimientos químicos a partir del tema de la fabricación de jabones y detergentes. Se observó que el trabajo alcanzó los objetivos propuestos. Una evaluación cualitativa mostró que los alumnos estuvieron más participativos e interesados al estudiar química de esta forma. Relatos y decalraciones de los alumnos también indicaron que hubo un aprendizaje significativo de los contenidos trabajados y que los alumnos son capaces de transferirlos para la comprensión de situaciones reales. Y una evaluación cuantitativa del material nos reveló que 87,09% de los alumnos obtuvieron apuntes iguales o superiores a la media necesaria para la aprobación. Esperamos que hayamos contribuído para mejorar la calidad de la enseñanaza de química y que este trabajo sea solamente un comienzo de una gran jornada

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

Investigação histórica nas aulas de matemática: avaliação de duas experiências

This study reflects on some procedural aspects about the development of mathematics learning from the experience with investigative activities concerning the resolution of second degree equation, which was tested a proposal for education, supported the use of texts in history of mathematics. The survey was conducted in two stages, taking the first-served basis for the second, which was carried out with a study group remainder of the first experiment. The intention was to investigate how the group participant, known as the study group, involved in the implementation of activities of research in mathematics, supported the use of the history of mathematics. Based on the results achieved during the study, it was possible to understand that the activities of research enable the development of students, range of learning mathematics and the development of skills and expertise for research as a vehicle for construction of their mathematical knowledge. This approach proposed research into the classroom is important, both for prospective teachers of mathematics and for students from elementary school, bringing a new phase for mathematical education that will come to schools

A prática interdisciplinar como estratégia de aprendizagem na formação continuada: uma experiência com professores da área das ciências da natureza

The school is a privileged locus of pedagogical reflection and, therefore, can and must be the best place for the process of continuing graduation for teachers. This process can be very productive if executed with an interdisciplinary group, once interdisciplinarity enables sharing different disciplines and also different personal stories. This study aimed to build a continuing graduation opportunity with an interdisciplinary group of teachers to Natural Sciences area, in a private school in the city of Natal - RN. This opportunity was build using as a tool the elaboration of interdisciplinary class called dialog-lesson. The methodology was in accordance with the principles of the qualitative approach of search-action, and the methodological way consisted of three stages that sought to meet the specific objectives: the definition of multidisciplinarity and interdisciplinarity, which had teachers in the Natural Sciences area; present a proposal that emerged from group discussions, identifying some elements of the limits and possibilities of the activity developed by the group of teachers from the Natural Sciences area. The results showed a studies lack on the subject by teachers and induced the reading and studing the Education legal documents (LDB, PCNEM and OCNEM). The planning of lessons led to the need for meetings that established the process of continuing graduation in exercising at the school. The interdisciplinary practice enable many gains, for example, the cohesion of the teachers, the perception need to constantly update and use of teaching units for planning. But it was also possible to observe limits, such as the difficulty of working with large classes and the danger of the content become superficial. The experience has shown that continuing graduation at school is possible and can be beneficial the use of interdisciplinary groups for this purpose, because it allows the exchange of experiences and pratice reflection of teaching in the itself exercise of this teaching

Trajetória do ifrn em inclusão escolar

Discussions over the topic of inclusion of handicapped people at school are considered recent, but they have become more and more frequent within the national and international scenario. Such discussion has also being inserted in the speeches and actions of the school institution and with the formation of educators. This investigation is made necessary as a way to collect elements to reconsider the actions for the inclusion of the special education need youth. In special the visually handicapped ones, at Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Norte (IFRN). The creation of a support unit functions as main vehicle for the actions of the institution. It is intended to know what young people with limitations have to say regarding their experiences as a way to signal paths to be and not to be followed by the support unit. Therefore, the experience which these young boys and girls have is of crucial importance. In order to accomplish the task, it was decided to use methodological elements based upon elements supported by the life reports of two deficient students here called Borges and Stéfano. Their reports are from childhood to their arrival at IFRN. From their reports, categories appeared: childhood and the role of family; school life and, finally, related to the actions of the support unit of IFRN, being divided in inclusive actions and obstacles. The first one takes a second look at the actions of the family within the learning-teaching process of these students. The second category presents the moment in which students started to receive formal education per se. The last category constitutes the cornerstone of the investigation, for it analyses the process of inclusion in the institution, according to the perception of the students with visual limitations. The results signaled the need for shared intervention between students with Special Education Needs and school professionals in the elaboration of the Educational Planning, which guarantees the defense of the rights to an efficient teaching practice and effective in the process of inclusion of these students