Os robots na aprendizagem da trignometria

Este trabalho foi elaborado no âmbito do Mestrado de Ensino de Matemática do 3º Ciclo do Ensino Básico e Secundário da Universidade da Madeira, no ano letivo de 2012/2013. Os grandes objetivos deste estudo são os de analisar qualitativamente uma atividade, para compreender como é que os alunos aprendem trigonometria, utilizando os robots NXT da Lego. De igual modo, se procede também, de forma sucinta, à apresentação do trabalho desenvolvido pelo grupo de estágio, ao longo da Prática de Ensino Supervisionado. Para a realização da investigação, foram recolhidos dados pelo investigador, através de registos audiovisuais do trabalho dos alunos, com câmara e vídeo. Com o fim de melhor estudar o problema aqui apresentado, o mesmo foi dissecado em três questões de investigação: (a) Que aprendizagens os alunos realizam com a montagem, programação e interação com os robots? (b) De que forma é que os alunos aprendem trigonometria, quando utilizam os Robots? (c) Quais as dificuldades manifestadas pelos alunos na resolução de problemas? As questões de investigação iluminaram a análise dos dados. Das conclusões que advêm deste estudo destaca-se o papel essencial da robótica e dos materiais manipuláveis, na construção e concetualização do conhecimento dos alunos.

O uso de modelos no ensino de química: uma investigação acerca dos saberes construídos durante a formação inicial de professores de Química da UFRN

In the past twenty years, there has been a significant increase of researches about teacher s professionalization. In that context, the investigations concerning teacher s knowledge represent an important contribution, as they aim to identify and to rescue the base of knowledge that sustains the teacher s profession. In particular, the reflections and propositions of Lee Shulman have been constitute a fundamental subsidy to the teacher s professionalization in the sense of harnessing the pedagogic knowledge to the content s knowledge, establishing the pedagogic knowledge of the content that characterizes and differentiates the teacher and the bachelor in a certain field of knowledge. Among the indispensable knowledge for the Chemistry teacher's professional practice, in this research we have pointed out the pertinence of the knowledge on the use of models in Chemistry classes in the middle and high school. Those knowledges regard the comprehension of students concerning the understanding and models elaborated in science and the models implemented in the Chemistry teaching, as well as the abilities to plan didactic situations that use models. In this research, we aimed to identify the contributions and barriers during the Chemistry teacher education, in UFRN, in relation to the construction of knowledge that subsidize training teachers in the elaboration of teaching activities that involve the use of models. The investigation was accomplished in UFRN, in the Course of Degree in Chemistry, along with 13 student teachers that studied the subject Practice of Chemistry Teaching. For this research, the following instruments were used: questionnaires with open and closed questions, elaboration of a plan of activities for the Chemistry teaching and an interview to answer the established study s questions. The data was analyzed in an established criteria, classified and tabled. The results showed that the student teachers representations regarding scientific knowledge contemplated, among other topics, the idea of a method for his/her construction. In some cases, the models role was emphasized in that construction, as well as the social dimension in the validation of that knowledge. The scientific models were highlighted by most of the student teachers, as a representation method to explain, understand and interpret the chemical phenomena. On the other hand, the didactic models stood out, in most of cases, as a method of aiding the Chemistry students of the Basic Education to understand the scientific models. The representations regarding those categories contemplated important aspects, although in a superficial way, reflecting the limitations of reflections during the formative process. In the elaboration of teaching activities that use models, difficulties were evidenced, in the process of plan construction, relative to the didactic structure and to the proposition of activities that contemplated models, although the student teachers have mobilized different elements regarding the pedagogic knowledge of the content. Such verifications evidence the urge for the teacher development programs to promote changes in the teacher education in order to propitiate, during this process, reflections, discussions and propositions of activities regarding categories highlighted in this research, contributing to the construction of initial elements regarding the pedagogic knowledge of the content that will be developed throughout teaching, therefore corroborating to the teacher s professionalization

Olhares sobre a formação do professor de matemática. Imagem da profissão e escrita de si

The main focus of this thesis is the formation of a mathematical teacher at a college institution. The general aim is to describe and to analyze the formation process of a mathematical teacher which is an undergraduate student in Mathematics at the Instituto de Educação Superior Presidente Kennedy IFESP, in Natal-RN. It is based on a qualitative ethnographic approach, and has its theoretical anchorage in the (auto)biographical narratives, the social representative theories, and the mathematical education. The number of participants in this investigation was 12 undergraduate students, which corresponds to 25% of the total number of students. The corpus utilized in our analysis included 48 (auto)biographical essays, 12 (auto)biographies (formation's memories), and 12 contextualization files, besides the research's diary. The sources were obtained from the whole program of studies, i.e. from November 2003 to December 2006. The analysis revealed that the reminiscences of the 12 students' academic trajectory influenced their professional formation, since their images of a mathematical teacher were intrinsically related to the one they had before. These representations were being either demolished or constructed in a network along the assertive image of their profession, changing afterwards the mathematical representation and the teaching way of this discipline. Our study also shows that the beginning of their teacher career was marked by mechanical practices influenced by their old teachers. The (trans)formation of themselves and their teaching practices happened in a smooth way as soon as they increased their knowledgements in Mathematics, and it reflected upon the way they learned mathematics. The writing of their (auto)biographies helped the set up of new knowledgements, leaving to a self-consciousness as well as a self-formation, and contributed for the construction of a new way to see and to live the profession. Therefore, a mathematical teacher, for the undergraduate students of the IFESP involved in this work, is made at the interface of the familiar, academic, and professional context, besides the reflexive writings about the formation path, the way of life and the relationships among them

Nas asas de Ícaro: uma análise da Pedagogia Freinet do 2º ao 5º ano do Ensino Fundamental na perspectiva da ação docente continuada

Célestin Freinet was one of the most memorable educators of the twentieth century. He presented some educational alternatives that had the objective of stimulating the construction of pedagogic actions to promote the social development of the student based upon a work centered on the free expression as the way to self-structure the knowledge. With a permanent proposal of research based on the enquiry-based learning, Freinet set human capacity (cognitive, social-affective, psychometrical) taking cooperation in consideration on the processes of knowledge construction. Based on this referential, this present work has the objective to show Freinet s pedagogy in a continuous teaching action from 2nd to 5th grade focusing the teacher s discourse and also the educative practice of the students of a city public school in Natal. The observed work revealed the teacher s discourse and educative experience and delineated the students development while immersed into Freinet s educational practice. By virtue of the nature and specificity of the theme that guided our research, we chose a qualitative approach to it, as a way of conducting ourselves during our investigative process. We observed and analyzed the method that was used to conduct the activities in the classroom, as well as the ways of expression that the children used through drawings, words (oral text), or through writing. We highlight, among the written texts, the individual and collective texts, and also letters and notes, which during some moments served as a base to express a diversity of languages. The results, after a analyzing the research data, point towards a teaching practice that favors the construction of a significant learning process through the grasping of the school environment, on which all these factors are based: society, knowledge acquisition, abilities, attitudes and values. This learning process also strengthens human solidarity bonds and mutual tolerance, on which the student s social life is seated.

A formação / ação multiplicadora da prática infantil: um estudo das práticas formativas do PIDEPE RN.

This study examined the training of teachers in service developed by the Integrated Program for the Development of Early Childhood Education in Rio Grande do Norte - PIDEPE / RN - UFRN, whose central focus of action is the action of the multiplying practice within Natal. The methodology used is a reflection on the training strategies of the practice of early childhood education in order to build a knowledge that can be generalized to other formative experiences of teachers. The instruments used for data collection were the desk research and literature from the perspective of qualitative research. The study focused on the instrument were related to the structure and organization of the stage and the process of action multiplying of the infantile practice. We concluded that the process of training needs to be carefully reviewed. It is necessary to rethink the definition of objectives, criteria and tools for continuous evaluation that they wish to maintain and / or setting up on stage. Look not only for the formative role of education but also indicators of professionalization of teaching.

Professoras e projetos: concepções e práticas no ensino fundamental

The discussion we have established in this study is about how the practice is developing educational projects based on work with because the methodological choice of the teacher. The study of an ethnographic qualitative approach was conducted with a group of six teachers in two public schools in School Administrative Zone north of the city of Natal / RN. Data were constructed from semi-structured, reinforced by the direct observation of the practice of teaching of teachers. The goals outlined were to identify the reasons why the option for the project, listing the benchmarks that subsidized their construction, the observation of everyday experience in educational planning and development of projects developed. In the light of information we can notice a complex and even contradictory, which is confusing the concepts and practices are weakened. The analysis revealed inconsistencies between theory and practice in working with projects, the fruit of little theoretical development of teachers. The adoption of the project as a methodological option has meant a change in direction of the effective action didactic. Reflects on this situation, it was concluded that there is a need to broaden the understanding of the significance of this type of work, covering the different dimensions that involve the practice of research, research and training of teachers. Even preventing the intentions and initiatives of the teachers, it must be emphasized is the process of learning within an approach that focuses the process of learning in multiple dimensions, inter-relational, both the capabilities of students in the areas of knowledge.

Relações entre teorias da história e ensino de história: a compreensão de professores

This thesis has as an objective to think over the teachers` understanding of the school History of the Fundamental Teaching regarding the existent relations between the history theories and the teaching of the school History, as well as to think over how these teachers see the influence that their teaching practice gets from the history theories. The work is based on the postulates of the qualitative research and on the characteristics of the ethnography of the school practice. The main procedures of data gathering were the documental analysis, the semi-structured interviews, the field diary and the observations of classes. The scientific perspective of the multiple references is an important source in this research. The participants of this work are two teachers of the school district of Natal who work in the field of the school History in two schools on the North Side of the city. The accomplished analysis point to significant indications that didn't occur continuous and regular teaching situations in the initial and continuing education of these teachers that clearly showed the relations between the history theories and the teaching of the school History. They also suggest that their understanding about the influence that their teaching practice gets from the history theories, is not still explicit. We understand that the relations between the history theories and the teaching of the school History are important for the initial and continuing education of these teachers who belong in this knowledge field, even when these relations are not explicitly pointed by the teachers, because they will always influence the teaching practice that the teachers of the school History build

Ensino do processo de enfermagem: visão dos discentes de graduação de Natal/RN

The nursing process (NP) it s the systematized way of offering humanized care with the objective of reaching the expected results. The concern of the health and education institutions of elaborating implementation strategies of it is growing. The objective of this research was to know the vision of the senior students of the nursing graduation courses from Natal/RN, about the teaching of the NP. It s about a descriptive and exploratory study of the qualitative and quantitative type, done in five teaching institutions of the undergraduate nursing course of the municipality of Natal- RN in 2011. The research was composed by 48 students of the last 2 years of the nursing course. The gathering of the data was done through an online survey with open and closed questions via SurveyMonkey. For the quantitative data it was used the descriptive statistics from Microsoft Office Excel and for the qualitative data the Content Analysis of Bardin. The results pointed a predominance of female students (81,25%) with an age between 21- 39 years old (75,00%) and in the last year of the course (62,50%). As the opinion of the students about the NP two categories emerged: 1) Nursing Process as grounded method in scientific knowledge and established in two stages; 2) Nursing Assistance Quality, with two subcategories: Nursing Process as Nursing Practice and Nursing Process as instrument of improvement of the aid quality and promotion of well-being. In relation to the tuition of the NP the students (45,83%) said that the knowledge on the subject of the instructor was good; 81,25% reported that the professors use a traditional teaching methodology with the problem solving components and 45,83% answered that is addressed in specific disciplines in an isolated way starting from the professional line. The phase of NP that the nursing students have more difficulties of learning and implementing, being mentioned 22 times (29,70%). In relation to the student s difficulties, in the fields of supervised internships, in applying the NP it was stated for 83,50% that the barriers were related to the non implementation of the practice, overwork and the lack of trust of the nurse in the NP. The teaching-care strategies described as the internship fields were: the training of nurses to be able to contribute with the University in the implementation of the service and teaching; and the need of the universities to focus, continuously throughout the course, the NP with the involvement and incentive of the instructors in this process. These results show that the NP for the nursing students is a work methodology of the profession that needs to be implemented effectively in the practical reality for its teaching to turn effective and for the future professionals to be able to bring real contributions in the achievement of systematized actions trying to improve the assistance quality and the nursing actions. It is expected that this study could help bringing some strategies to facilitate the merging between theory and practice in teaching the NP and stimulate a discussion about the topic at the Nursing Schools where the research was held together with the coordinators, instructors and students

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

Desenvolvimento de um programa de ensino de Física Térmica para o nível médio

Neste trabalho de mestrado, detemos nossa pesquisa na elaboração e implementação de planos de aula, que pudessem contribuir para estimular a participação e o interesse dos alunos nas aulas de física. Utilizamos como principal recurso didático, textos provenientes da Internet, que proporcionasse aos estudantes acesso a leitura envolvendo conteúdos científicos, tentando amenizar a falta de qualquer forma de material didático de ciências para os alunos. Pudemos constatar também, deficiências por parte dos educandos, em atividades que envolviam leitura e interpretação de textos, o que nos preocupou bastante enquanto educador e nos motivou a provocar mudanças neste quadro. As atividades aqui propostas foram elaboradas e aplicadas numa turma do segundo ano do nível médio, atendendo conteúdos de física térmica mas com um enfoque interdisciplinar. Cada plano de aula proporcionou participação ativa de cada estudante, seja na realização de tarefas solicitadas ou na participação de discussões em sala de aula. Os resultados mais expressivos desta pesquisa foram aumento na participação dos alunos nas atividades fora e dentro da classe e uma mudança na forma de pensar e elaborar soluções para determinados problemas

Investigação histórica na formação de professores de matemática: um estudo centrado no conceito de função

In this study we analyzed the development of a teaching experience, involving students with a bachelor s degree in mathematics from UFRN, based on the history of mathematics and mathematical investigations with the aim of contributing to the improvement of the teaching-learning of mathematics. The historical investigation tasks were planned and applied in the classroom, focusing on functional thought. The results obtained during the experience were described and evaluated based on authors who support the assumption of investigation and history as an alternative to the learning of mathematics. We emphasize that the material of analysis consisted of a work diary, audio recordings, questionnaires with testimony of the students involved, and, in addition, the assessment of the teacher of that subject. With regard to the mathematical content, the study was restricted to the concept of function, forms of representation and notation. It was evident that students showed great improvement with regard to the necessary formalization of the mathematical contents which were focused on, and to the active involvement of the students at different stages of the study. We can affirm that the completed study certainly represents significant contributions to an approach in the teaching-learning of functional thought

As Ciências Espaciais, o saber e o fazer docente no ensino fundamental

This study aims to include topics related to Space Science in elementary education from an experiment that aims to rescue the science teachers in public schools of São Tomé, RN, a taste for experimentation and exploration of advanced technologies. During this research with teachers found that they knew enough about the subject, but this knowledge was restricted to the events disclosed by the media. Regarding scientific knowledge, that same surface, they had many conceptual difficulties which hindered the approach of these topics in their classes. To overcome this difficulty, a workshop was held where teachers had the opportunity to discuss the historical aspect of Space Science, some physical concepts related to it, and the conduct of experiments with PET bottle rockets that recover from the curiosity typical of how the science. The results were outlined in the form of Planning Didactic built by teachers and using themes related to space science, from there, discussing content already provided in the composition of the schools curriculum. Therefore, this work allowed the teachers a minimum training required for them to not only reproduce, but readjusted and build, from this, their own paths in the classroom at the fundamental level

A estratégia didática de resolução de problemas na formação de professores de química

In this work it is presented a research developed in the initial training of teachers of the chemistry graduation course at the Universidade Federal do Rio Grande do Norte (UFRN). The intervention was realized in two classes in the context of a discipline in the curricular structure with nineteen undergraduate students of chemistry. The study utilizes characteristics of the qualitative approach and uses observation, questionnaires, interviews and examination papers. The experiment involved a sequence of activities fundamented on the Problem Solving (PS) teaching strategy to approach chemical concepts. The proposal was planned and organized according to the theoretical presupposition of the work developed by the authors of the Science Education in PS, of teaching experience and from the initial hypotheses of the research. The goal was that the future teachers could experience the strategy and advance to the new meanings. The themes addressed in the activities were the difference between exercises and problems, exercises turning into problems, the steps of problem solving and some implications of the teaching strategy for the work of the teacher. The results showed evidence that through a process of collective reflection, and from the difficulties experienced in the strategy practice, the undergraduates are introduced to new perspectives of reflection and action of teaching practice, and understanding some benefits of innovative proposals for the teaching of chemistry. It also showed that, although this theme is approached, in some moments of the graduation, the future teachers don‟t know when or how to realize activities in this perspective. From the aspects that rose in research we highlighted the difficulties in the problem solving steps, the use of the strategy in school and the knowledge and skills of the teacher for planning activities in Problem Solving

Construção e aplicação de uma sequência didática para o ensino de trigonometria usando software geogebra

The present study aims to analyze the potentialities and limitations of GeoGebra software on what concerns trigonometry s teaching and learning processes. Taking the present resources of public school from the state of Rio Grande do Norte, the research intends to answer the following question: Could we use the current conditions of public school and the Geogebra software to optimize the trigonometry s learning and teaching processes situation? . To make it a possible to answer the question above, a module of investigative activities was created and applied. The methodological intervention was made among second year High School students from a public school in Natal, RN. The theoretical reference of Mathematics Didactics was taken was a base, adopting the conceptions of Borba and Penteado (2001), Valente (1999) and Zulatto (2002, 2007) about the use of Information Technology (IT) on Mathematics classrooms. In order to create the investigative activities helped us to understand how the students make their constructions and their visual perception through the process of dragging images on the computer screen. Furthermore, the activities done with the GeoGebra software s resources facilitate the resolution of trigonometry situations

Um hipermídia sobre fases da lua para o ensino de astronomia a distância

The interdisciplinary nature of Astronomy makes it a field of great potential to explore various scientific concepts. However, studies show a great lack of understanding of fundamental subjects, including models that explain phenomena that mark everyday life, like the phases of the moon. Particularly in the context of distance education, learning of such models can be favored by the use of technologies of information and communication. Among other possibilities, we highlight the importance of digital materials that motivate and expand the forms of representation available about phenomena and models. It is also important, however, that these materials promote the explicitation of student's conceptions, as well as interaction with the most central aspects of the astronomical model for the phenomenon. In this dissertation we present a hypermedia module aimed at learning about the phases of the moon, drawn from an investigation on the difficulties with the subject during an Astronomy course for teaching training at undergraduate level at UFRN. The tests of three semesters of course were analyzed, taking into account also the alternative conceptions reported in the literature in astronomy education. The product makes use of small texts, questions, images and interactive animations. Emphasizes questions about the illumination of the Moon and other bodies, and their relationship to the sun, the perception from different angles of objects illuminated by a single source, the cause of the alternation between day and night, the identification of Moon's orbit around the Earth and the occurrence of the phases as a result of the position of observing it, and the perception of time involved in the phenomenon. The module incorporated considerations obtained from interviews with students in two poles where its given presential support for students of the course, and subjects from different pedagogical contexts. The final form of the material was used in a real situation of learning, as supplementary material for the final test of the discipline. The material was analyzed by 7 students and 4 tutors, among 56 users, in the period in question. Most students considered that the so called "Lunar Module" made a difference in their learning, the animations were considered the most prominent aspect, the images were indicated as stimulating and enlightening, and the text informative and enjoyable. The analysis of learning of these students, observing their responses to issues raised at the last evaluation, suggested gains in key aspects relating to the understanding of the phases, but also indicates more persistent difficulties. The work leads us to conclude that it is important to seek contributions for the training of science teachers making use of new technologies, with attention to the treatment of computer as a complementary resource. The interviews that preceded the use of the module, and the way student has sought the module if with questions and/or previous conflicts - established great difference in the effective contribution of the material, indicating that it should be used with the mediation of teacher or tutor, or via strategies that cause interactions between students. It is desirable that these interactions are associated with the recovery of memories of the subjects about previous observations and models, as well as the stimulus to new observations of phenomena