Um estudo sobre a apreciação do raciocínio matemático na formação inicial de professores

The present work focused on developing teaching activities that would provide to the student in initial teacher training, improving the ability of mathematical reasoning and hence a greater appreciation of the concepts related to the golden section, the irrational numbers, and the incommensurability the demonstration from the reduction to the nonsensical. This survey is classified itself as a field one which data collection were inserted within a quantitative and qualitative approach. Acted in this research, two classes in initial teacher training. These were teachers and employees of public schools and local governments, living in the capital, in Natal Metropolitan Region - and within the country. The empirical part of the research took place in Pedagogy and Mathematics courses, IFESP in Natal - RN. The theoretical and methodological way construction aimed to present a teaching situation, based on history, involving mathematics and architecture, derived from a concrete context - Andrea Palladio s Villa Emo. Focused discussions on current studies of Rachel Fletcher stating that the architect used the golden section in this village construction. As a result, it was observed that the proposal to conduct a study on the mathematical reasoning assessment provided, in teaching and activity sequences, several theoretical and practical reflections. These applications, together with four sessions of study in the classroom, turned on to a mathematical thinking organization capable to develop in academic students, the investigative and logical reasoning and mathematical proof. By bringing ancient Greece and Andrea Palladio s aspects of the mathematics, in teaching activities for teachers and future teachers of basic education, it was promoted on them, an improvement in mathematical reasoning ability. Therefore, this work came from concerns as opportunity to the surveyed students, thinking mathematically. In fact, one of the most famous irrational, the golden section, was defined by a certain geometric construction, which is reflected by the Greek phrase (the name "golden section" becomes quite later) used to describe the same: division of a segment - on average and extreme right. Later, the golden section was once considered a standard of beauty in the arts. This is reflected in how to treat the statement questioning by current Palladio s scholars, regarding the use of the golden section in their architectural designs, in our case, in Villa Emo

Ingressar na ufrn: trajetórias escolares e universitárias de estudantes egressos da educação básica da rede pública

On the beginnings of the XXI century the brazilian universities was claimed by the Government and by the society to rebuild your ways of selecting students. Many questions are behind this theme, that goes since the concernings of the higher education institutions about select and graduate students, and now also students from disadvantaged sectors of the society; but also about personal issues, like concerns of the everyday of millions of youngs that integrates the brazilian society and that need to decide about your professional future after the finish of the Basic Education. The present thesis has as objective analyse the processes of the transition between the Basic Education and Higher Education on the point of view of students that achieved a place on the public university. This study was accomplished on the Federal University of Rio Grande do Norte [UFRN on the original language], that implemented an Access and Social Inclusion Policy (PAIS [on the original language]) on the year of 2003, and since than a series of social actions had been developed. Among the main, we highlight the Inclusion Score action, an adicional score [on the entrance selection exam] for graduated students from public schools, which considers social and economic criteria and the academic development of these candidates on your Basic Education. Through quizzes and interviews with the graduated university students from public network, we could know the social, economic and academic profile of the students that entered on the UFRN by the time of the development of your PAIS, your schools and university trajectories, revealing some of the dilemmas, strategies, difficulties and personal cost of those that try to remain on the educational system besides the adversity conditions of schooling. For the theory foundation, we use authors like Bourdieu (1992, 1996, 2003); Coulon (1993, 2008); Ramalho (2004, 2007, 2008, 2010); Ramalho, et al (2011); Charlot (2001, 2003, 2005); Zago (2011); Nogueira, Romanelli e Zago (2011), among others, that contributed for a better analysis and understanding of thought and actions of the students in your own formative trajectories. Although we know that the educational inequalities are many, we found that the UFRN policy brought and is bringing many significant results, on the perspective of contribute with the increase of access for graduated students from the public network, and with the inclusion of these on the university

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

Quando as professoras se encontram para estudar matemática: saberes em movimento

This text results of a research in an Education Doctorate about teachers, professional background, formation, teaching knowledge and abilities. In this text, it s described the history of a study group in mathematics education composed by teachers who teach mathematics in the 2nd cycle of Ensino Fundamental (5th year of schooling), all belonging to the same school of the municipal public schools network. It presents the trajectory of the collaborative group, in all particularities, singularities, and the constant search to become collaborative. This trajectory was marked by the stories of it s participants in the ceaseless path to constitute teachers, by the sharing of knowledge, by the process of collaboration, by the thinking about the teaching practice, and by the personal and professional improvement of the teachers that form the group. The interpretative and qualitative research had as its investigation field the study group. The data supplied by the collect instruments indicate us that the collaboration between the teachers, the access to specific knowledge of mathematics area, the reflections about the teaching practice in a given context, are paths that lead to and make possible the re-elaboration of the teaching skills by teachers that teach mathematics to the first years

Análise de necessidades de formação: uma prática reveladora de objetivos da formação docente

In recent years, in Brazil, researches in the area of education have been focused on the study of the necessities of formation, by the practice of necessity analysis, to subside the continued teacher formation programs. This research on the necessity of the formation of literacy teachers in the initial years of primary education originated in our discussions in academia, regarding the issues of retention and evasion related to basic literacy teaching in Brazilian public schools. We defined as a goal: to know the necessities of the formation of literacy teachers from Odila Leite Municipal Elementary School, Natal/RN, which focuses on the literacy teaching on that level of education and in Adult and Youth Education. The object is the necessities in these teachers formation. The thesis is that the literacy teacher reveals/constructs formation necessities when speaking of her practice, when exerting said practice or even when producing teaching materials which subside that practice; in other words, when making the theoretical/practical relation related to literacy teaching. The approach is qualitative, according to which the natural environment is the source for data collection; the focus of interest is the process of knowledge construction, and fundamental importance is given to the meanings constructed by the subjects. We comprehended that necessity is a socially constructed subjective phenomenon, and that necessity analysis allows the revelation of formation objectives. We used the case study as a methodological strategy which permits: studying a well-defined entity, [ ] as well as an academic institution; the global comprehension of the phenomenon of interest; discovering what is most essential and characteristic in the object. We counted with 17 teachers, 3 of which had their teaching practices observed. We observed the school routine, analyzed the main class documents and plans and interviewed the 17 teachers. We triangulated the data obtained by the routine observation, the observation of the three teachers practices and by the document analysis, next, we triangulated this data with the data from the analyzing the interviews with the 17 teachers. Such procedures reveal formation necessities in those teachers , such as: studying child cognitive development; reviewing the concepts of literacy teaching; reviewing fundaments of written language psychogenesis; reflecting on reading practices and literature; reflecting on the practice of daily planning; reflecting on the school s material conditions and the family/school relation. We concluded that researches of this nature contribute to the orientation of teacher formation programs

O Programa Pró-Letramento e a formação de alfabetizadores: repercussões nas concepções e práticas de professores cursistas

This paper intents to investigate the repercussions of the Pró-Letramento - Alphabetization and Language Course Program in the practices and conceptions of alphabetization of learning teachers, according to their own perspectives. The program, part of the National Formation Network of the Education Ministry, in partnership with public universities since 2006, is destined to aid the formation of teachers acting in the first three years of public basic education, with the goal of qualifying them to work with alphabetization and improve quality of learning processes and results. This investigation adopted the qualitative research paradigm as well as the Case Study methodology, being our empirical field a Belém do Brejo do Cruz/PB public school. The subjects are five Program graduation female teachers, including the tutor-trainer and four graduated teachers that already teach in the first three years of basic education. The data, gathered with documental analysis, individual and collective semi-structured interview, and non-participant observation, were analyzed according with Speech Analysis principals. Based on those principals, we intersected teachers enunciations, observation sessions registries and the Program s propositions and built interpretations based on theorization taken as fundaments of the investigation, among which we highlight: studies on a criticalreflexive perspective of a teacher s formation; continued formation as a permanent development process; the principals of historical-cultural approach on alphabetization processes and development with the centrality of language; alphabetization in a interactionist approach. The analysis focused on the Program s repercussions: 1) in the teachers conceptions about: 1.1) learning; 1.2) Alphabetization and literacy; and in the practices and conceptions related to: 1.3) alphabetization in a literacy perspective and 1.4) appropriation of the writing system. The corpus analysis evidenced relations of continuity and discontinuity, approach and distancing between the teachers conceptions and the Program s propositions, as well as conceptions/significance of their speeches and related or observed practices. Observing teachers elaborations evidences the repercussion of the Program s formation, whilst also showing gaps and mismatches in their appropriation process in concepts/assumptions as well as teaching propositions. These mismatches involve interaction relationships between teachers and students, with their possibilities and limitations surrounding the Program s knowledge objects complexity, also linking to the social, economical, political, and cultural conditions that involve both the implementation of the Program in each context and the conditions in which alphabetization in public schools are developed, demanding permanent and accompanied formation processes, investments to improve work conditions and valuing teaching

A função mediadora do planejamento na aula de leitura de textos literários

This dissertation sutdies the mediative function in the planning of literary text reading classes of Portuguese. Its main central focus proposes that planning favors the pedagogical reading work of literary texts in the teaching of Portuguese, for they are regarded as one of the mediative elements the teaching-learning process. It also allows for its subjects to rethink the practice, theorizing it. As a theoretical basis the studies on participative planning are used, especially the studies concerning dialogic planning. The language/literature teaching perspective adopted in this work is guided by the socio-interactive conception of language, in a way that reading is seen as a comprehensive and interactive activity. Given the research process, the analysis of the reading process involved the Reader s Response, once that this theory considers the role of the reader and her/his interaction with the text. The study is grounded upon the following research question: which role(s) does the pedagogical planning play as a mediator of the reading teaching-learning process? The main objective of this dissertation is to investigate the pedagogical planning activity as a mediative instrument in the practice of reading in the Portuguese classes. The study is constituted of three stages, the third being emphasized (2002/2005) in which the direction of the participative action-research was used, as a way of acknowledging the pedagogical role in the teaching plan, as an instrument capable of rendering reorganization in the teaching-learning process of reading classes. We have as participants teachers of Portuguese in the elementary school (Ensino Fundamental, 3º ciclo), besides other segments of public schools, in the city of Pau dos Ferros RN, in which the previous studies were developed. The results point to the relevance in the role of the teacher, as a more experienced reader, in developing of pedagogical strategies that may come to favor the teaching of reading, having in the pedagogical sphere an instrument of theoretical reflection and sistematization of activities to be implemented in the classroom. The conclusions highlight the class plan as the mediative instrument to be incorporated and internalized into the teaching practice, amplifying and modifying the teacher s intervention forms, favoring, thus, her/his pedagogical mediation

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

Fundef (1996-2006): a remuneração dos professores do ensino fundamental da rede pública municipal de Natal/RN

This work discusses about the teacher salary in the primary school after the creation of the Fundo de Manutenção e Desenvolvimento do Ensino Fundamental e Valorização do Magistério (Fundef), in the public schools in Natal/RN, from 1996 to 2006. The salary is considered one of the politic dimensions of the valorization of teaching. We aim to analyze the implication of this fund to the teacher remuneration, with different levels of training, in the early career, comparing it to the annual minimum salary, during the same period. This study has a historic-critic approach, establishing the relationship between the elements into a particular context (valorization of teaching/ teacher salary) and the elements from general contexts (financing/ Fundef). Analyzing data of the teacher remuneration from municipal payroll and comparing them to the annual national minimum salary gave us the result that the teachers, in their early career, do not have remuneration with a satisfactory evolution. Teachers that finished high school received until three minimum salaries before the creation of Fundef (1996-1997), after that (in 1998) they received under two minimum salary. In addition to this, independently of the level of the teacher training, their remuneration is under three minimum salaries. Hence, we can infer that the politic of funds is distant from the ideal to valorize the professional of the municipal teaching

Educação de jovens e adultos na cidade do Natal: uma reflexão sobre sucesso e insucesso

This essay proposes to research the success and failure in Education for Youth and Adults (known as EJA), based on the approval, failure and evasion rates in public schools belonging to the city of Natal, RN. Reflecting upon the reasons why some pupils from this program were dropping out of school while others kept on studying was a necessity. Therefore, we seek to know these subjects and their school environment. In the search this data, we set off by approaching the EJA politics, going through a historical path, highlighting significant facts to Brazilian and Natal history. While bringing together the pieces of information for this essay, we were lead to the State and City Education Department, in search of approval, failure and evasion rates from the year 2009. Based on these rates, two schools have been chosen: the first with a high failure rate and the second with a failure rate lower than the city average. The schools work was researched throughout the year 2010, through interviews with pupils, teachers, managers and employees; school files analysis; the analysis of files the establish the rules for EJA programs in the city of Natal. Nethertheless, this essay points to inner and outer factors which might come to contribute to the failure or success of pupils from the researched schools, emphasizing that the difference between those are in the team work present in the school with low failure rate

A concepção de paisagem de professores de geografia em escolas do município de Parnamirim (RN)

This work is an exploratory study based on the principles of qualitative research aiming at the conception of landscape by Geography teachers in the city of Parnamirim (RN), as well as the pedagogical implications originated from such conceptions on the formation of students. In order to start our investigative process, we used, as theoretical and methodological reference, some principles of historical and dialectical materialism by Triviños (2007) and historical cultural approach of education by Freire (1987; 1996) e Vygotsky (1993; 2001; 2007), as well as the meaning of conception by Morin (1996) and Ferreira (2007) and the critical approach of geography by Moraes (2005), Santos (1988; 2004; 2006) and Silva (1989; 2010). Also, we used oral history as a research technique such as Moraes (2004), Bertaux (2010), Ferraroti (2010) and Nóvoa (2010) and semi-structured interviews as data collection tools. Our empirical reference is made of four teachers working in four different public schools in the city mentioned above, providing the needed data to start our research. The objective of such interviews is not the verification of the teachers‟ practice in class or outside them, but it highlights the transitoriness of the evidences mentioned in the research. Thus, we conclude that the conception of landscape mostly accepted by the teachers, once it is a process built along their lives and surrounded by their pedagogical practice, prioritizes the visual and morphological aspects and the sentimental livings related to the conception which is situated in a descriptive level of conception. Effectively, the pedagogical implications of these conceptions at school point to a materialization of geography teaching centered on the non-critical reproduction of school subjects which very little instigate the learners to process, via dialogicity, the re-significations of their essential and multiple attributes despite the several attempts and possibilities of some theoretical and methodological renovations on the application of geographical knowledge about landscape, expressed on the report of the interviewees

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

Prática do enfermeiro do Programa Saúde da Família PSF na promoção da saúde do adolescente

Attention to the health of adolescents, based on paradigm flexneriano, needs to be overcome. Since the International Conference of Ottawa (1986), the literature is developing a discussion of the promotion of health, based on the paradigm of social production in health, suggests a design to overcome the health care traditional practices. Program Health of the Family PSF has this purpose to transmute the model of existing assistance, where the nurse is an essential element to the work done in the program. Around this context, it is our purpose to analyze the practice of nurse of the PSF for the promotion of health of adolescents, produced by a search of descriptive quantitative approach with the inclusion of qualitative data. Interviews were conducted with 9 nurses 3 units of health of the family USF, Mossoró-RN and applied questionnaires with 74 teenagers aged between 15 and 19 years old, with some nearby public schools where USF operate these nurses. The quantitative descriptions were transformed on tables, pictures and graphics using the program Excel (Microsoft) and the qualitative were worked through the technique of analyzing the content of Bardin (2004). The review was realized using the reference to promote health brought by the study. The results show that the most common problems that happen with teenagers are the drugs (33,8%), pregnancy (27,0%) and political problems-socio-economic-cultural issues (24,3%). Adolescents are spontaneous demand and rarely seek the USF. The actions presented by the nurses as, lectures and groups, are nothing comparing to the macro-problems presented by adolescents, and verticalized irregular. The nurses know the promotion of health generally, not explaining how operate it from its daily practice. Concluded that the practice of nurse of the PSF has not yet reach the promotion of health of the adolescent, being necessary to scheduling modules on the subject to continuous training of teams, professionals from USF, as well as teachers and other staff of schools, giving space to the participation of academic. The discussions should be socialized with the community to discuss possibilities of confrontation of the problems, which also require socio-structural changes. This research can contribute as work-diagnosis, which experienced the reality of care in nursing PSF to a specific group

Reflexões e contribuições para o ensino de gravitação clássica no nível médio

The subject of Classic Gravitation is part of the actual curriculum for High School in Brazil, and it is taught in the first year of that education level. This master thesis presents a research regarding the subject Classic Gravitation in High School. This research was based in two complementary guidelines of research and action. The first guideline was the analysis of 21 didactic books of physics which are the more frequently used in High School, in the city of Natal/RN. The second guideline, worked after being verified the most common deficiencies presents in the didactic books, was the elaboration, followed by a practical application, of a course suggesting how to approach that subject in the classroom. The Parâmetros Curriculares Nacionais para o Ensino Médio (National Curricular Parameters for High School PCNEM) defend that Classic Gravitation is very important in the student s formation and that its study helps the comprehension of many nature s phenomena. Because of this vision of that subject by the PCNEM, the 21 analyzed books were separated in two groups: the first one, containing 10 books, was edited before the spreading of PCNEM, and the second, with 11 books, after that spreading. Whatever the group to which the didactic books belonged, the great majority of them let that subject in a second plan; two of them even suggesting, in the teacher s orientations, that the subject Gravitation can be suppressed in case of insufficient time . These analyses points that the PCNEM had produced no changes in the conception of the authors that wrote books regarding that subject. To analyze the didactic books, we elaborated a script which was used as an analysis tool, in which we put in evidence the relative importance of the historic and philosophic contextualization of the subject, the quotidian experience of the students and the interdisciplinary approach, among other aspects. It became evident that the didactic books give very little emphasis to historic aspects of the knowledge construction, to the relations with the day-by-day questions and to the interdisciplinary character of the subject Gravitation. It calls attention the non concordance among the authors opinions regarding the necessary previous knowledge or prerequisites the students should fulfill in order to begin to study Gravitation. The course we elaborated was given to a group of teachers as well as to students. In those courses we treated theoretical and practical aspects and emphasized historical questions and the ones which are related to people s daily life. The course for teachers was realized as an extra-mural activity of the UFRN and was given by the author of this thesis at the Escola Estadual Francisco Ivo Cavalcanti (a state public school in Natal/RN). There were 23 teachers present, from several public schools and several fields of knowledge. The thesis supervisor and the master degree s colleagues of the author acted as collaborators , reporting the participants opinions and speeches. The course to the students, on the other hand, had the participation of 300 regular students who belonged to 6 different 1st year classes of the High School Escola Marista de Natal (RN), in which the author acts as a physics teacher. The student s course was realized as part of the regular curriculum activities, in which three classes stood under the responsibility of the author and other three classes in charge of another Marista s teacher, who participated as a collaborator . The teacher s course as well as the students one were given in two stages, with five hours each. The first stage was divided in two moments, the first one focused on the survey of the spontaneous conceptions about gravitation, in which we worked basically with experiments of free throwing and pendulum, and the second one focused in theoretical presentations and quarrels about universe s models. In the second stage of the course we improved the study of Kepler s laws and the Newton s Universal Gravitation law, and we used as motivating tools some practices involving the construction of the solar system in scale. As instruments for evaluating both courses we used questionnaires and reported the speeches with participants opinions, beyond usual written evaluations in the course for the students. The teachers who participated in the course showed very good wills in realizing interdisciplinary practices; nevertheless, according their own speeches, they frequently came across the difficulty of how to do . From the experience we had in both courses, we conclude that the approach we propose hear to the teaching of the subject Classic Gravitation , supported on the tripod theory, practice and historical and philosophical aspects, is viable and effective. One hopes that this research may contribute in the formation of a opinion, among the teachers, concerning how to approach the subject of Classic Gravitation, and may offer suggestions in order those who want to apply that approach may develop classroom practices aiming to improve the teaching of that subject, which has a singular importance in the formation of High School students

O uso pedagógico de uma seqüência didática para a aquisição de algumas idéias relacionadas ao conceito de números complexos

The aim of the present work is to contribute to the teaching-learning process in Mathematics through an alternative which tries to motivate the student so that he/she will learn the basic concepts of Complex Numbers and realize that they are not pointless. Therefore, this work s general objective is to construct a didactic sequence which contains structured activities that intends to build up, in each student s thought, the concept of Complex Numbers. The didactic sequence is initially based on a review of the main historical aspects which begot the construction of those numbers. Based on these aspects, and the theories of Richard Skemp, was elaborated a sequence of structured activities linked with Maths history, having the solution of quadratic equations as a main starting point. This should make learning more accessible, because this concept permeates the students previous work and, thus, they should be more familiar with it. The methodological intervention began with the application of that sequence of activities with grade students in public schools who did not yet know the concept of Complex Numbers. It was performed in three phases: a draft study, a draft study II and the final study. Each phase was applied in a different institution, where the classes were randomly divided into groups and each group would discuss and write down the concepts they had developed about Complex Numbers. We also use of another instrument of analysis which consisted of a recorded interview of a semi-structured type, trying to find out the ways the students thought in order to construct their own concepts, i.e. the solutions of the previous activity. Their ideas about Complex Numbers were categorized according to their similarities and then analyzed. The results of the analysis show that the concepts constructed by the students were pertinent and that they complemented each other this supports the conclusion that the use of structured activities is an efficient alternative for the teaching of mathematics