Produção do mestrado profissional em ensino de ciências naturais e matemática da UFRN (física e química/2005-2012): papel dos documentos oficiais e características dos produtos educacionais

The importance of the Professionals Master in the field of science education is revealed by the recognition that they provide, to practicing teachers, in particular, training spaces for reflection and application of knowledge. This work appears in the context of the project "Research and training in teaching science and mathematics: a cutout of academic production in the northeast and overview of formative action in basic education" on the Centre for Education program, which main objective was to conduct studies description, analysis and evaluation of the academic production of Postgraduate Programs in Science Teaching of UFRPE, UFRN and UEPB and investigate the contribution of continuing education in stricto sensu level, of graduated teachers to improve the quality of basic education . We sought to examine a cut of academic production PPGECNM / UFRN, taking as reference dissertations of Natural Sciences, finished between the years 2005 and 2012, which have developed and applied educational products for high school students. More specifically we sought to conduct a general characterization of the dissertations analyzed for basic descriptors, to understand if and how the official documents governing the Brazilian education, especially science education, subsidized development of dissertations and identify current trends for science teaching are addressed and which ones are used in preparing the product of dissertations. The survey was based on documentary analysis, a type of qualitative approach in which the documents are objects of study in themselves. The results revealed that most of the work was developed in public schools, on subjects of physics and chemistry. During analytical reading of the text of the dissertations was observed that, in its construction, most of them addressed somehow, official documents governing the Brazilian educational system, that the products are basically teaching units and teaching approaches that are more focused on Experimentation and History and Philosophy of Science

Elaboração de uma unidade de ensino potencialmente significativa em Química para abordar a temática água

The evidence of the water theme in news reports is configured as an important topic of interest to contextualize, problematize and/or generate meaning in the midst of discussion of a content from different levels of education and/or disciplines of basic education. The possibilities to use this theme in classroom is also highlighted in Brazilian official documents that guide the practice of teachers of all Brazilian curricular components of this educational level. So, the theme water can be used as subsidy to teach chemistry, since contextualises the teaching of this discipline aiding in the discussion of different chemical concepts. In this perspective, the meaningful learning theory, developed by David Ausubel, has constructivist nature and says that an individual learns significantly when he can relate new information with a specific knowledge structure that integrates the prior knowledge of its structure. In this sense, the use of water as a theme for the approach prior knowledge of chemical concepts has already been characterized as an important topic that can give meaning to the content of education in chemistry. In this dissertation, a teaching unit potentially significant (TUPS) is presented based on meaningful learning theory of David Ausubel approaching the theme water. approaching the theme water. The unit was used in a class of thirty-five students of the 2nd year of high school, a public school in the city of Extremoz-RN, metropolitan region of Natal / RN. Through it was possible to discuss an issue of interest to students of the school to address the chemical contents, such as solutions, physicochemical aspects and stages of water treatment. At first, an initial questionnaire was used to identify the students' previous ideas on the topic under study to the concept of chemical solutions. It was subsequently developed and implemented a series of activities based on students' ideas. To subsidize the sequence, it was prepared four booklets that worked the content of chemical solutions, contextualizing the theme water. The results of this work showed that the alternative conceptions that students have about concepts related to the chemical solutions are similar to the ideas of other students presented in the literature and that the development of the TUPS, allied to the contextualization strategy with the theme water, not only motivated the students for the teaching of chemical content, as yet provided the learning of chemical concepts not in isolation, but making a connection between their ideas and experiences with scientific knowledge. To this, beyond of dialogued lectures, were also used strategies as experimental activities, problem solving, group discussions and construction of concept maps. The final evaluation of the unit was conducted by a questionnaire based on the Likert scale, answered individually by students, who approved the unit as conducive to teaching and learning of chemistry process

Dificuldades de aprendizagem do conteúdo de soluções: proposta de ensino contextualizada

The study of solutions is considered very important to chemist’s education because most of the chemical reactions occur in aqueous medium, being also required to understand other subject such as chemical changes, electrochemical and chemical balance. Nevertheless, it is noticed that many students indicate learning difficulties related to the content of solutions, how to pass among the macro-submicroscopic knowledge levels, and how to solve quantitative problems that demanding the establishment of a stoichiometric ratios. This thesis defended considers the use of contextualized teaching strategies about some subject associated to the study of solution, can foster student learning through reflection and understanding of their own difficulties, besides to provide motivation and active participation. The target group is formed by students of the undergraduate distance education with major in chemistry education of the Universidade Federal do Rio Grande do Norte (UFRN), and they were chosen because this education system is expanding and its learning difficulties publications number is reduced as well. Thus, the first methodological stage was to identify the student’s main learning difficulties associated to the study of solutions through literature sources. Next, using an adapted script of the Plano Nacional do Livro Didático para o Ensino Médio (PNLEM, Textbook National Plan for High School), the approach of the content of solutions printed in educational materials used by the target group was analyzed. Afterward, a teaching unit was planned in the last methodological stage and, finally, a new teaching unite was given with a sequence of contextualized activities such as video presentation, dialogued lecture, questionnaires application, exercises, and an experiment, where the target group’s main difficulties related to learning of solution were identified. The participants of the teaching unit activities had some learning difficulties in understand concepts of compound, ion, charge, entropy and solubility, as well as to identify the ion charge, interpret statements, decode tables, use the chemical language, perform mathematical calculations and use concentration units, similar results raised in the literature sources. In order to work on these difficulties, these students were encouraged to expose, question and test their ideas about the phenomenon under study, allowing learn from their mistakes and reflect on the organization strategy of scientific explanatory models they use. Therefore, activities and information about learning difficulties presented in this thesis need to be critical reflection object, because it can help both students in the process of acquiring knowledge about the content of solutions and professors in the planning of their lessons.

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

Problemas e modelos que contribuíram com o desenvolvimento do cálculo diferencial e integral: dos gregos à Newton

This article refers to a research which tries to historically (re)construct the conceptual development of the Integral and Differential calculus, taking into account its constructing model feature, since the Greeks to Newton. These models were created by the problems that have been proposed by the history and were being modified by the time the new problems were put and the mathematics known advanced. In this perspective, I also show how a number of nature philosophers and mathematicians got involved by this process. Starting with the speculations over scientific and philosophical natures done by the ancient Greeks, it culminates with Newton s work in the 17th century. Moreover, I present and analyze the problems proposed (open questions), models generated (questions answered) as well as the religious, political, economic and social conditions involved. This work is divided into 6 chapters plus the final considerations. Chapter 1 shows how the research came about, given my motivation and experience. I outline the ways I have gone trough to refine the main question and present the subject of and the objectives of the research, ending the chapter showing the theoretical bases by which the research was carried out, naming such bases as Investigation Theoretical Fields (ITF). Chapter 2 presents each one of the theoretical bases, which was introduced in the chapter 1 s end. In this discuss, I try to connect the ITF to the research. The Chapter 3 discusses the methodological choices done considering the theoretical fields considered. So, the Chapters 4, 5 and 6 present the main corpus of the research, i.e., they reconstruct the calculus history under a perspective of model building (questions answered) from the problems given (open questions), analyzing since the ancient Greeks contribution (Chapter 4), pos- Greek, especially, the Romans contribution, Hindus, Arabian, and the contribution on the Medium Age (Chapter 5). I relate the European reborn and the contribution of the philosophers and scientists until culminate with the Newton s work (Chapter 6). In the final considerations, it finally gives an account on my impressions about the development of the research as well as the results reached here. By the end, I plan out a propose of curse of Differential and Integral Calculus, having by basis the last three chapters of the article

Utilizando processos geométricos da história da matemática para o ensino de equações do 2º grau

The present work had as principal objective to analyze the, 9th grade students understanding about the solutions of an equation of the 2° degree, using geometric processes of the History of the Mathematics. To do so, the research had as base the elaboration and application of a group of teaching activities, based on Jean Piaget's construtivism. The research consisted of a methodological intervention, that has as subjects the students of a group of 9th grade of the State School José Martins de Vasconcelos, located in the municipal district of Mossoró, Rio Grande do Norte. The intervention was divided in three stages: application of an initial evaluation; development of activities‟ module with emphasis in constructive teaching; and the application of the final evaluation. The data presented in the initial evaluation revealed a low level of the students' understanding with relationship to the calculation of areas of rectangles, resolution of equations of the 1st and 2nd degrees, and they were to subsidize the elaboration of the teaching module. The data collected in the initial evaluation were commented and presented under descriptive statistics form. The results of the final evaluation were analyzed under the qualitative point of view, based on Richard Skemp's theory on the understanding of mathematical concepts. The general results showed a qualitative increase with relationship to the students' understanding on the mathematical concepts approached in the intervention. Such results indicate that a methodology using the previous student‟s knowledge and the development of teaching activities, learning in the construtivist theory, make possible an understanding on the part of the students concerning the thematic proposal

Ateliês de história e pedagogia da matemática: contribuições para a formação de professores que ensinam matemática nos anos iniciais

This paper presents a discussion about the use of the History of Mathematics as an educational resource and conceptual mediator in the formation of teachers who teach mathematics in the years of elementary school. It was a qualitative action method, in order to show the importance of holding workshops of History and Pedagogy of Mathematics as contribution to overcome the conceptual difficulties of teaching and teachers regarding the content covered in the course of education and afterwards they have to teach in the early of elementary school. We assume that understanding the historical, social and cultural comprehension as a conceptual and didactic focus effectively nurture the pursuit of a teaching and learning of mathematics students safe and justified in order to contribute to overcoming the difficulties of teaching and learning usually occurred in the classroom of the early years. In this sense, we organized a study group formed by students of Bachelors in Education and Mathematics at the University of Piauí. We developed five training workshops in History and Pedagogy of Mathematics, with a workload of 20 hours each and four follow-up sessions and advicement, totalizing 180 hours. The purpose of workshops was to develop studies on the History of Mathematics that could support the formation of a conceptual and didactic group with a view to prepare teaching materials and activities based on information drawn from undertaken historical studies .The products designed were used in formation of the group itself and will later be used in training teachers of public school in Teresina, in the form of workshop of History and Pedagogy of Mathematics in order to overcome problems arising from teaching and conceptual this education degree in Education Based on the obtained informations it was possible to suggest new referrals procedural level of education and university extension that may contribute to the reorientation of initial and continuing training of teachers in the early years elementary school

A sistematização do conteúdo jogo nas aulas de educação física do ensino fundamental e médio

Since the enactment of LDBEN 9.9394/96, Physical Education began to be understood as a curricular component in school. Thus, we see the need for systematization of content. We observed that the physical education classes at the public schools in Natal/RN from the game content, teachers did not use the existing proposals for systematization. And it was on this reality that the study occurred, aiming to present and discuss a proposal to systematization the game content in physical education classes in elementary and secondary education. Accordingly, we departed of following question: What possibilities of systematization of the game content in school physical education classes?. The methodology used was the action research, which allowed us to structure the intervention plan for the game content, directed to a reflective didactic process. The dialogue with action research provided an opportunity to understand of the proposal of systematization, the knowledge of game content, the planning and process of teaching and learning in physical education lessons developed. We use the proposed systematization the book Educação Física Escolar e Organização Curricular , to direct and organize the lesson plans. As research technique, we use the participant observation, filming, photographic records and field diary, guiding us in the debates and discussions about the field of research. The applications of the lesson plans were carried out in three schools, all located in Natal / RN: Escola Municipal Professora Ivonete Maciel, Escola Municipal Professor Ulisses de Góis e Professor Escola Estadual Josino Macedo. The members of this study were students PIBID-EF-UFRN, teachers, supervisors and school. They made the bridge between research and action, theoretical foundation and pedagogical practice, university and school. The results were advanced for beyond the propositions submitted by the above-mentioned book. For the Elementary School 1, the proposed systematization broadened experiences and learning of knowledge of the game and of playful and body manifestations. Provided an opportunity to know and learn about game of make account, rules, popular games, cooperative games, among others. For Elementary Schools 2 and Middle education, systematized lessons allowed the practical, the incorporation of knowledge of the game and its features: such as rules, origin, meaning of the name, different denominations, among others. The students experienced and learned, popular games, pre-sport games, cooperative games, with recycled material, among others. The treatment from three dimensions of contents: procedural, conceptual and attitudinal, occurred parallel to approach the game content, and in conjunction with our interventions, not being done separately during practice, but an ongoing process during class. This new perspective of work the game, in a systematized way, with applying, description and discussion the activities, allowed elaborate a summary framework of thematizations for game content, by year of teaching

Dificuldades no processo ensino aprendizagem de trigonometria por meio de atividades

This study analyses the difficulties that teachers of high school face in the process of the teaching of trigonometry through activities in a construtivist focus. It contains a review of some publications and dissertations related with the study of trigonometry elaborated in the last years by several authors. It resorts to the study of teaching engineering as an instrument used in the research. It also presents a set of activities which will serve as sample to other teachers of mathematics; and points ways for the overcome of the difficulties found

Cosmoeducação: uma abordagem transdisciplinar no ensino de astronomia

This work proposes a transdisciplinary approach that integrates transpersonal psychology exercises with astronomy teaching, seeking to allow one to reintegrate the sky in his/her daily life, expand his/her environmental awareness and eventually experiment the unity between human and cosmos. This proposal intends to collaborate with the supplying of education, which lacks initiatives of this kind, with the promotion of an integration of the scientific knowledge with the human experience that transcends the materialistic and fragmentary objectives of the current educational system. As a result of that lack, the teachers formation is also poor as for an integral and transdisciplinary approach. Besides, we also approached in this research the necessity to propose alternatives so that the educators may work in a more assertive way with the environmental and anthropological crisis in which we are living. Our working hypothesis is that the contents of astronomy, when they are dealt in a holisticanthropological focus and are related with transpersonal psychology practices, can come to be an efficient cultural-academic vehicle, capable of propitiating an expansion of consciousness and changes in the way one conceives the world. Such changes are necessary so that a more solidary, fair and ecologically balanced life may come to exist and prevail in the planet. Part of the collection of data was done through the ethnographic method, once an anthropological interpretation is inextricably associated with this kind of educational intervention, which will naturally include ethno-visions of the universe as well as specific cultural elements. In the beginning the scope of this research was a group of students attending the Astronomy assignment in an undergraduate Geography course (UFRN), in which we accomplished participant observation, half-open interviews and the first experimental practices mentioned. After the evaluation of the first data collected from that initial group, we elaborated an academic extension course, Laboratory in Cosmoeducation, and we offered it to teachers of the 1st and 2nd cycles of the fundamental level of the Alceu Amoroso Lima State School, located in the North Zone of Natal. We prized self-experimentation in that course, so that the teachers could enrich their repertoire of personal experiences, stimulating meditative reflections and eventual changes in the ways of conceiving the world and in their pedagogical practice. The transdisciplinary attitude permeated all our educational action, because this approach transcends the boundaries of disciplines, seeking essentially the integral development of the human being. The process has made us realize that the practice of looking at the sky , as a way of reintegrating it into daily life, provokes a process of expansion of the consciousness and of reintegration of the self in a wider level of environmental interrelation. According to the results, the occurrence of conceptual and existential changes of the world vision of the participant teachers was evident, reassuring ourselves of the idea that the interface between astronomy teaching and the practices of transpersonal psychology can contribute to the recovery of a holistic relationship between the human being and the cosmos and to inspire the arising of a more wide-ranging ethics, based on universal, impartial and sustainable values

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

Elaboração e aplicação de uma estratégia de ensino sobre os conceitos de calor e de temperatura

This piece of work has investigated the alternative conceptions shown by students of secondary school, concerned to the concepts of warmth and temperature, aiming the elaboration and application of a learning strategy as of the diagnose risen from the conceptions present in students. The learning strategy was built up by a sequence of activities that involve History of Science and experiments, put in a course that had as a base the proposal of the Group of Redevelopment of Physics Teaching (GREF). We have used as the conductor wire of our research the development of thermo dynamics since the development of the first thermo machines, passing by the Industrial Revolution and the evolution of concepts of warmth and temperature. The learning strategy was applied to a group of second grade of secondary school in a public school in Mossoró (RN). By doing these activities we tried to become the concepts, which are part of thermo dynamics, more meaningful to the students. We have estimated that the application of the strategy has represented some profits to the students of the group, concerning to learning of laws and concepts of thermo dynamics (specifically the concepts of warmth and temperature), as well as what it is referred to the overcoming of its initial conceptions

As Concepções da mobilidade e acessibilidade urbana aplicadas à implementação do ensino de física: uma interface pedagógica para sedimentação de conhecimentos

Abstract:It boards a study about the methodology applied in the classroom, with emphasis at the Physic teaching, but could be taken to the other matters of high school, mainly to that alumns with school delay and that needs a pedagogics resources to get the aproach of them to the subject showed trying to improve their learnship. The study was developed through the bibliographic research methodology, associated to the induce resource that allows to evaluate the methods of teaching praticed actually at High Schools, as the private as the public, to give to the teachers the resources that should change the dificulties of learning with prejudice the classmates performances. The results reacheds demonstrated that is perfectly possible to augment the physic teaching body, taking in consideration the expansion of the profit at the teaching­learnig procces, besides having allowed to shows that this methodology porpouse could be takes to others subjects of the High School to became this phase of school more suitable to the necessities of society. It concludes that the brazilian Education could receive a lot of augments, from the professional criativity on always that inside the classroom, really close of the problems showed by the classmates about learning collecting

O espaço formativo na escola: um estudo com professoras dos 4º e 5º anos do ensino fundamental.

Es extensa, de parte de los docentes, la discusión sobre la articulación de actividades y estrategias de enseñanza que vengan a proporcionar una participación más activa del alumnado. Sin embargo tal tarea constituye un desafío para muchos profesores ya que, muchas veces, la formación inicial no siempre los prepara para esta perspectiva. Nosotros entendemos que es necesario desarrollar en los maestros una autonomía crítica, tomando la escuela como espacio formativo. El objetivo de este trabajo fue él de incentivar un espacio de discusión y reflexión para profesores en ejercicio de los 4° y 5° años de la Enseñanza Fundamental I. Ese espacio que era orientado para que ellos estudiasen y articulasen, entre otras cosas, el conocimiento disciplinar de Ciencias y la organización y sistematización de actividades de enseñanza que lleven a una participación más activa de los estudiantes. La investigación se realizó en una escuela privada de Natal/RN, que atiende a estudiantes desde la educación infantil hasta la enseñanza secundaria. Se desarrolló en cuatro fases: la 1ª, de familiarización, cuyo objeto de estudio se dio a través de la observación del salón de clase y del análisis de la planificación anual: la 2ª, de identificación de las dificultades de los maestros, teniendo como instrumentos encuestas con preguntas abiertas y elaboración de textos. La 3ª, en la perspectiva de proporcionar una intervención, se usó como instrumentos de investigación, el diario de clase y otras actividades como talleres, cursos y la elaboración de material didáctico. En la 4ª fase, para reconocer los posibles cambios en la práctica docente, ocurrieron nuevas observaciones en el salón de clase, el análisis de las planificaciones. Los datos obtenidos fueron organizados en tablas y clasificados. Los resultados señalan cambios en la práctica de esos profesionales, la introducción de la disciplina de Ciencias en el espacio formativo y el material didáctico elaborado ha sido un subsidio importante para ayudarlos en las clases

Questões objetivas sobre funções das provas de matemática do vestibular da UFRN dos anos de (2001 a 2008): um diagnóstico sobre os erros que os candidatos cometem

La dificultad que los alumnos encuentran en el aprendizaje de matemática viene siendo objeto de investigación por estudiosos en educación matemática, tanto en Brasil como en el exterior. El objetivo de este estudio consiste em investigar las dificuldades en el aprendizado sobre funciones matemáticas y la influencia de las concepciones alternativas a partir de los errores que los candidatos acerca de las cuestiones sobre funciones en la prueba objetiva de matemática del acceso a la universidad de los años de 2001 a 2008. Teniendo como cuestiones de estudio para alcanzar el objetivo propuesto: identificar la relevancia del tema funciones que son contemplados en las pruebas de acceso a la Universidad; asi como cuáles han sido los tipos de funciones más privilegiados y menos privilegiados; analizar si la contextualización de la pregunta y la presencia de elementos no textuales han influenciado en el aumento de tal dificultad; analizar si la representación semiótica agrega mayor exigencia a la pregunta; analizar respecto a la exigencia matemática de la pregunta; analizar lo que se refiere al desempeño de los candidatos para verificar cuál pregunta tuvo mejor desempeño y cuál el peor e identificar los errores más frecuentemente cometidos por los candidatos en esas pruebas. Las reflexiones de los estudiosos como: Radatz (1980), Cury (1994), Socas (1997), Borasi (1997), Franchi e Rincón (2004), Pochulu (2004) presentan las dificultades en el aprendizaje matemático, que aparecen a partir de los errores cometidos por los alumnos, quando estos errores reciben la influencia de las concepciones alternativas. El estudio que se presenta en esta disertación configura un análisis de los errores que los candidatos han cometido en las preguntas objetivas sobre el tema funciones de las pruebas de acceso a la Universidad de los años de 2001 a 2008, a partir de los relatorios de la Comissão Permanente do Vestibular COMPERVE/UFRN. Con la intención de alcanzar los objetivos propuestos para este estudio, fueran sido construidas categorías de análisis. Los resultados encontrados han sido: El tema funciones es el más frecuente entre los demás con (28,1%); el tipo de función priorizada durante esos años ha sido la función logarítmica con (24%); la contextualización de las preguntas exige una mayor comprensión por parte del candidato de lo que las situaciones directas; la caracterización semiótica posee elementos que estructuran esas preguntas que el educando debe saber asociar al texto; la exigencia matemática posibilitó analizar que el procedimiento medio ha sido el más requisitado; el desempeño de los candidatos ha sido en la mayoría bajo (50%); y los principales errores que ellos han cometido han sido de realizar traducciones incorrectas de las expresiones que aparecen en las situaciones-problema; utilizar todos los datos que aparezcan en el problema sin tomar en cuenta si el cálculo realizado responde a la pregunta solicitada; no interpretar coherentemente las informaciones del gráfico; decodificar incorrectamente los valores representados por literales en una recta numérica. Los resultados señalizan la necesidad de una revisión didáctico-metodológicas de la enseñanza de funciones a raíz de las cuales las dificultades en el aprendizaje se han presentado