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

Formação continuada de professores de ciências para o ensino de astronomia nos anos iniciais do ensino fundamental

Situated at the intersection of Continuing Formation, Science Teaching and content of astronomy, the research aims to discuss this problematic : What are the challenges encountered in a continuous formation in service of science teachers of the early years of elementary school with contents of astronomy? Aiming to answer this question, we carried out a collaborative action research in a school of Natal / RN, with 6 teachers who teach or lectured Natural Sciences in the early years of elementary school. The study involved 14 encounters of continuos formation in service, to enable a better understanding criticism and propositive concerning the teaching science, especially some content of astronomy for the initial years, through a shared discussion. To this end, we consider that more profound understanding of astronomical knowledge allows the establishment of relationships and connections between theoretical knowledge and the daily teaching practice. All discussions were recorded on audio and transcripts. This research was realized using questionnaires and diary, however, the audio recording was its principal working instrument. About the data collected, several issues emerged as the little field of conceptual content, several misconceptions among teachers about the content of astronomy, lack of adequate space in the school environment to study and the need for collective reflection on the practice. Finally, is indicated that the contents of astronomy should be used in classrooms of Sciences, provided that teaching plan of action consider the existence of diverse alternative conceptions about the subject, among both teachers and students, and the need of permanente continuing education in the teaching

A prática pedagógica de professores de alunos com transtorno de déficit de atenção/hiperativadade

This study is inserted at the Line of Strategical Research of Thinking and Knowledge production which scientific projects about the relation of thinking and knowledge production are realized. The accomplishment of this dissertation involved an empiric research at a school of the municipal district of Natal RN. Our purpose was to investigate the practice of the staff working with students who present Disabilities and Attention Deficit Hyperactivity (DADH) at regular classes due to the organization of thinking in pedagogical strategies. The object of this study is presented at the center of the questions which involves the conscious analysis of the problems and needs that emerge at the school. Considering the specialty of the theme, we choose a methodology whose focus is the dialogue and the sharing of meanings with the partners of this research through the observation of the activities developed at class/school and interviews/conversations with six teachers of first and second cycles of primary education. According with the study, some theoretician presumptions of Mr. Freire (2001), Mr. Nóvoa (1995), Mr. Bohm (2005) and son on. The results reveled at the research indicate the fragility of a continuous formation directed to the development of critical-reflexive thinking of the teachers.The teachers revel conceptions due to formation, pedagogical practices and the relation with the parents and coordinators, through their performances and speeches, allowing us to identify some pedagogical strategies used. We identified some negative response about the process of learning-developing of these pedagogical strategies such as the one we call unconcern . The strategy of sitting the student at the front row chairs can have positive and negative responses depending on the way the teacher act and follow the student. Other strategies identified as positive response bringers at the learning-developing process and that should be reinforced by the staff are the playful and the group assignments . At this perspective, the school needs to develop a collective project between the pedagogical team and teachers to overcome the needs of all students, and as a consequence, of the staff and improve the positive strategies, minimizing the negative ones and allowing the organizations of new strategies that promotes the improvement of learning-teaching process of the students with DADH

A fábrica de professores e a padronização do conhecimento

This paper concern the general subject of teacher career construction, since the period of the initial formation in the teaching course of pedagogy crossing the first effectives experiences of professional performance, until the reflections about the results of the continuous formation propositions. The specifics subject is the formative quotidian in the teacher s life beyond of the traditional stereotypes about individuals and institutions bring up for discussion a micro sociological approach about the professionals uncertainty and the personal hopes, the teacher displeasures and the pedagogical satisfactions. The epistemological reflection about the different formatives experiences, taking as example the Programa de Formação de Alfabetizadores PROFA (Alphabetizers Formation Program) developed by the Secretaria Municipal de Educação of Natal City, consider the ambiguous tension between the knowledge that the teachers acquire in their formation and the concrete teachers practical since those experiences. The study methodology is based in the qualitative comprehensive research, sustained by observations, impressive reflective accounts, and also in the theoretic analyses with contemporary references to the critical pedagogical through and education sociology. I used the autobiographic reflective account by the writer-researcher in her owner academic and professional way. I propose an image of a teacher s factory in such a way for its conformist aspects to the continuity stands as much the internal contradictions of the system. Gears, pieces and manual instructions are the educational components of this factory as ideological, institutional and technical structures to aim at to limit the critics and the changes. However the teachers thinking and acting with their owner creativity to adapted uncontexted professional knowledge s to their pedagogical lives. Under those analogies I propose the problem of this research the teacher s formation and theirs pedagogical practices- and also examine briefly its theoretic-philosophical and methodological basis. From the analysis and interpretation of my owner experiential life as teacher s educator I put the necessity of re-thinking the teacher s formation in terms to rebound more meaningfully in their pedagogical actuation. I believe an important part of the teacher s formation process is the personal wish to learn more about the office, explicitly connected to human convictions and values such as to a positive professional identity. Thus, the teacher able to reflect about your owner educator life can find the best way to help the students to think critically about their culture and history, valorizing creative exits by themselves to face the conformist social stands connected with school education

Mediação biográfica: propostas para a formação docente

This work aims at studying the biographical mediation taken as the progress of people in formation process who develop a biographical work on their own experiences with the help of a former (PASSEGGI, 2006, 2011). The research was carried out on a curricular component from Curso de Formação Inicial e Continuada (initial and continuous process of formation of teachers) with teachers from public schools developed by Instituto Federal de Educação do Rio Grande do Norte (IFRN/ Ipanguaçu). The target audience featured diversity of professionals and experiences of formation. The general objective studied the potentials of procedures and devices used to mediate the reflection about the necessary knowledge to teaching practice based on their own experiences (auto-biographical) and the experience from the others (hetero-biographical). The study tried to respond to the following questions: how do teachers in formation relate themselves to the knowledge from experience? What procedures and devices contribute on the teachers‟ formation on the three different dimensions of biographical mediation (initiatory, maieutic, hermeneutics)? How to provide the auto-formation and hetero-formation? The theories and methods of this work are based on studies and researches that place the person in formation in the center of investigation and formation and analyze their reflective, re-inventive and self-re-inventive capacity. (FREIRE, 1987, 1996, 2001, 2011; JOSSO, 2008, 2010, 2012; DELORY-MONBERGER, 2006, 2008, 2012; CHARLLOT, 2000; CATANI, 2001; PASSEGGI, 2008; 2010; 2011; 2012). We selected six teachers who participate entirely on the meetings of the program. They discussed on the study topics, shared narrations that integrate their formation and the themes related to the course. The empirical material is composed by the narrations of the six participants and hearing boards done by themselves at the moment of the narration sharing process. The analysis followed three steps: a) the path of the program and the procedures of biographical mediation; b) the relations former/teacher on the three dimensions of biographical mediation; c) the hearing board as a device of biographical mediation. We concluded that the procedures and devices used for biographical mediation made possible specific learnings that are sources for the practice of initial and continuous teachers‟ formation, as well as for the formation of the former-researcher about the work with autobiographical narrations. Thus, it allow the co-investment of participants into the process of auto-formation and hetero-formation.

O Probásica e a formação de professores no Pólo de Parnamirim: política de formação profissional no Rio Grande do Norte?

This work studies the thematic of the politics of formation of teachers in the Program of Professional Qualification for Basic Education (PROBÁSICA) developed in the City of Parnamirim, Rio Grande do Norte. It has as its main objective to identify and to analyze the contribution of this politics of initial formation for the professional formation of teachers. To install the work, we will use the procedures of bibliographical research, documentary analysis, comment, structuralized interview, questionnaire-script and virtual research. In the analysis of the data, we trace a general view on PROBÁSICA while initial formation along with the continued formation, pedagogical research, collaborative research and the exercise of the teaching profession, identifying the possibilities and limits of the Program in the direction to reach the objective considered in this work. From the inquiry, we construct the institutional land scope of the program in question, also focusing, the organizational aspects of its functioning. We have to take care about the results, we evidence that PROBÁSICA is making the possible to access of the teachers in the educational service to the University, what the main aspect that consists, trying to prove eminent weak points in its systematic due to give to the organizational structure of this educational politics that does not count with curricular, institutional and financial the necessary conditions for the success of the professional formation of the teachers. The research will try to understand that the operationalization of the politics of formation in Parnamirim will be belong with it the main idea of the Educational Reformation in years of 1990, articulated to the neoliberal interests, that the responsibility for the problems of the public system of education attributed to the teachers, and that are not answered completely through the purpose of the professional formation, and ti seems that it does not define one global national politics that deals with seriousness to the questions the initial formation, permanent formation, pedagogical research, , career and conditions of work for the teachers

As ciências da educação e a prática: sentidos atribuídos por estudantes do curso de Pedagogia

This study focuses on the initial formation of the pedagogue in college, especially the formation that takes place in the Pedagogy Course. It is bound by the following question: what senses are attributed by the Pedagogy Trainees regarding the relation between the Education Science knowledge and the Pedagogic Practice knowledge developed in the Pedagogy Course of UESB, in order to build up teaching knowledge and practice? Therefore it aims to reflect on the relations between the Education Science framework and the Pedagogic Practice under the supervised classes that belong to the Pedagogy Course. It presents the implications and contextualizations concerning the pedagogue formation as a historic and cultural process, emphasizing the current moment of this formation. It is based on the idea that the senses trainees, future pedagogues, attribute to their own formation process reflect on the learning of theorical and practical knowledge that validates the process of teachers formation, especially the pedagogue formation. Accordingly, it believes that the senses attributed by the students of teachers initial formation courses regarding the Education Science knowledge and Pedagogic Practice knowledge are essential as organizers in the construction of teaching knowledge and practice while the supervised classes take place. The theorical and methodological option is based on the studies of Qualitative Epistemology by Gonzalez Rey. Empiric studies took place at the Pedagogy Course of Universidade Estadual do Sudoeste da Bahia (UESB), located in the city of Vitória da Conquista/Bahia. The students who took part in this research were six graduating ones, enrolled in the last two semesters of the referred course, stage when the supervised classes happen. The procedures used in the organization of collected information consist of analysis of documents such as the mentioned course curricular project and the students reports, besides interactive and provocative talks to the students. The results show the senses students attribute to Educational Science theorical basis to practice to Pedagogic Practice opportunity of feeling as if they were teachers and to the relation between Education Science and Pedagogic Practice opportunity of experiencing the relation between theory and practice. Besides, the theorizations students have about the relation between theory and practice in teachers formation are also presented. Consequently, it is emphasized that the supervised classes are the moments in which the trainees might understand the relations between thought and pedagogic practice, building the senses attributed to the relation between the Education Science knowledge and the ones of Pedagogic Practice as organizers in the teaching knowledge and practice. In this context, the trainees build some knowledge regarding what it means to be a teacher, which is not written or published, due to its subjective dimension, but circumscribed in their pedagogic practice while the supervised classes take place and when professional teaching practice becomes effective

As Ciências da Educação e a prática pedagógica: sentidos atribuídos por estudantes do curso de Pedagogia

This study focuses on the initial formation of the pedagogue in college, especially the formation that takes place in the Pedagogy Course. It is bound by the following question: what senses are attributed by the Pedagogy Trainees regarding the relation between the Education Science knowledge and the Pedagogic Practice knowledge developed in the Pedagogy Course of UESB, in order to build up teaching knowledge and practice? Therefore it aims to reflect on the relations between the Education Science framework and the Pedagogic Practice under the supervised classes that belong to the Pedagogy Course. It presents the implications and contextualizations concerning the pedagogue formation as a historic and cultural process, emphasizing the current moment of this formation. It is based on the idea that the senses trainees, future pedagogues, attribute to their own formation process reflect on the learning of theorical and practical knowledge that validates the process of teachers formation, especially the pedagogue formation. Accordingly, it believes that the senses attributed by the students of teachers initial formation courses regarding the Education Science knowledge and Pedagogic Practice knowledge are essential as organizers in the construction of teaching knowledge and practice while the supervised classes take place. The theorical and methodological option is based on the studies of Qualitative Epistemology by Gonzalez Rey. Empiric studies took place at the Pedagogy Course of Universidade Estadual do Sudoeste da Bahia (UESB), located in the city of Vitória da Conquista/Bahia. The students who took part in this research were six graduating ones, enrolled in the last two semesters of the referred course, stage when the supervised classes happen. The procedures used in the organization of collected information consist of analysis of documents such as the mentioned course curricular project and the students reports, besides interactive and provocative talks to the students. The results show the senses students attribute to Educational Science theorical basis to practice to Pedagogic Practice opportunity of feeling as if they were teachers and to the relation between Education Science and Pedagogic Practice opportunity of experiencing the relation between theory and practice. Besides, the theorizations students have about the relation between theory and practice in teachers formation are also presented. Consequently, it is emphasized that the supervised classes are the moments in which the trainees might understand the relations between thought and pedagogic practice, building the senses attributed to the relation between the Education Science knowledge and the ones of Pedagogic Practice as organizers in the teaching knowledge and practice. In this context, the trainees build some knowledge regarding what it means to be a teacher, which is not written or published, due to its subjective dimension, but circumscribed in their pedagogic practice while the supervised classes take place and when professional teaching practice becomes effective

Formação de professores de assentamentos rurais do Rio Grande do Norte: representações, memórias e práticas de letramento

This work has as study object the representations that teachers have about literacy, and schooling, as well as their memories and their reading and writing practices in the formation process of teachers in rural areas of the State of Rio Grande do Norte. We focused our discussion in literacy practices constructed on language workshops, assumed as necessary for the teacher formation, the existence of a pedagogical context that allows developing the appropriate teaching action. These workshops aimed at creating a space of constant reflection and action. The corpus is composed of letters written by teachers in formation workshops and interviews emphasizing questions of literacy, schooling, memories and reading and writing practices. These teachers make use of literacy practices related to the plots which they belong to. This research is informed mainly by studies that discuss the Literacy (Street, 1984, 1995; Barton, 1998; Freire, 1978, 1980, 1990, 1996), focusing its political character and of inclusion to the literate world, the Social Representations (Moscovici, 1978) and the studies on genre as a discoursive practice (Fairclough, 2001). Methodologically, this research is of critical ethnographic nature (Cameron, 1992). The letters are disclosed as identity practices - pictures of life histories of the teachers. The analyses of the interviews, in turn, show the literacy multifaceted character, evidencing innumerable views on the phenomenon

Reelaborando conceitos e ressignificando a prática na educação infantil

In this research we described the path of thirty one teachers involved with elementary school, amog which we included ourselves, looking for professional formation that allowed us to understand the function of educating childen. In this sense, this group of teachers begins a process of intentional, systematic and voluntary reflection, in an attempt to give new meanings to daily concepts of life and work, and linking them to their socialpractices. Having as reference the theoretical and methodological principles of socio-historical approach and collaborative research, the Group of Studies: The Dialogue Reflection as Re-meaning of Pedagogical Practice: a continuous education proposal, motivated by the willing and the necessity of re- elaborate knowledge about collaboration, reflection, infant education, playing and development which meets the new and goes the inverse way revisiting concepts and conception already consolidated, confronting and re-meaning them enlightened by one s own effort and the collaboration of pairs, mediated by Cycles of Reflexive Studies and Inter/intrapersonal Sessions. We can affirm that these tools helped the process of reflexivity put into practice by participants, which most important consequence was the theoretical re-meaning and practice in the ambit of infant education. During this investigation, we could see some theoretical and practice presuppositions which permitted to attribute to the exercise of reflexivity in collaboration the means into which the involved people could rescue the actions taken, justified their choices, confronted their theoretical options with their peers and with the systematized knowledge would question their certainties and rebuild in intra-psychological level, the knowledge elaborated socially. To this group which main activity is the docent profession, the personal and professional development constitutes the objective in which actions were articulated and operations which made learning possible as well as professional development

Narrativa autobiográfica como prática de formação e de atualização de si : os grupos referência e o grupo reflexivo na mediação da constituição identitária docente

The thesis: "autobiographical narrative as practical continuous training and updating of itself: the groups-reference and the reflexive group in the mediation of identity construction of teaching" begins in the founder matter: "What are the implications of groups-reference in the process of identity formation and the teaching role of teachers which is participating of the research? This object of study deals with the continuing education of teachers of Basic Education and the role of the reflective group as space-time of (re) construction of educational knowledge, for the recognition of yourself. The thesis defends that the autobiographical narrative, as a pedagogical tool and research, for the initial and continuous training, is presented as theoretical and methodological foundation necessary for identity formation of the teacher. The research is limited to the qualitative approach with a focus on the autobiographical narrative. The participants are six teachers, three teachers and three students-teachers. The corpus comprises six autobiographical narratives, six reports of successful experiences, two studies on the biographical work, and six individual testimonials about the impact in personal and professional life. The data analysis was to reference Dausien and Alheit (2006), Bruner (1997), Contreras (2002), Delory-Momberger (2007), Freire (2005), Giddens (2002), Josso (2004), new (1988, 2002), Passeggi (2001, 2002), Pineau (2004), Ricoeur (2004), Souza (2006), Tardif (2002) and Vygotsky (2005). The research revealed that the formation of identity as a teachers of the educators occurred in the reference group, involving the formal, non-formal and informal of the processes of knowledge , in a movement of alternation training that includes yourself, the other and the ambient. Also revealed that the pedagogical choices of the teachers studied aimed at minimizing educational gaps that were lived in both field personal and social; that the personal identity is configured as an identity narrative and the methodology of the biographical work, through the mimesis of continuing education, provided the passage from the group reflective to the group of reference

A (re)significação conceptual nas práticas colaborativas com professores do Ensino Fundamental

The work objectified to apprehend the degree of the teachers' concept concerning the territory concept and to intervene with situations of critical reflections to accompany and to analyze the process of conceptual elaboration. It contemplates on the (new)meaning of knowledge and (new)elaboration of the concept in study done inside a pedagogic intervention. The Municipal School Dr. Julio Senna - Ceará-Mirim/RN and six (6) teacher-collaborators that taught in the 3rd and 4th grades of the fundamental teaching, constitutes the empiric field of the research. Its theoretical-methodological contributions are built in the studies of Vigotski (2000a, 2000b and 2001) on the formation process and development of concepts; in the methodology colaborate (Ibiapina (2004), Bartomé (1986), Kemmis and Mctaggart (1988), Arnal, Del Ricon and Latorre (1992), Pepper and Ghedin (2002), among others) and in the critical-reflexive conception of the Geography (Soares Júnior (2000 and 1994), Silva (1998), Raffestin (1993), Santos (1994), Felipe (1998), among others). The accomplishment of the work presupposed starting from the reflections on the following subjects: which the teachers' understanding in the school space concerning the territory concept? How does happen the process of conceptual construction territory for the teachers? The analysis of the teachers' previous knowledge on the concept in study, evidenced that its apprehensions on the attributes of the referred concept went mentioned the to light of the perceptible dimension of the real-concrete relationships of the reality linked to the degree of the spontaneous concepts and followed by the ideas of the traditional, humanistic and cultural geographical conceptions (positivism and phenomenology), restricting the territory meaning the notion of State-Nation and place of the men's dwelling. In the intervention process, it was verified to real possibility of the acquisition of indispensable scientific concepts to the process of (new)meaning conceptual of geographical knowledge through the continuous practice of the educational formation, when it was evidenced that the teacher-collaborators acquired high degrees of attributions of the significance of the territory concept to the they elaborate generalizations by means of analyses and syntheses of the concept-attribute (essential and multiples) of the reference conceptual in study

Ludopoiese e humanescência no educador infantil

This research has as study objective the development of humanescent experience in the process of self-formation of the teachers of the Infantile Educational Unit of the Education Center of the Federal University of Rio Grande do Norte. It has as general objective the description and analysis of how the humanscent experience of life contributes and is manifested in the children educator in his way of being, living and in his pedagogical practice. As specific objectives, the identification of the contributions of the humanescent experiences in the children educator in his way of being, living and in his pedagogical practice; the analysis of the contributions of the humanescent experiences to the children educator from the ludopoetic categories self-esteem, selfworth, self-realization, self-territory and self-connectivity. It is a descriptive study of qualitative nature understood as an existential action research that uses the principles and fundamentals of the etnomethodology and phenomenology. Sixteen teachers six that are effective teachers, six substitute teachers and 4 interns - took part in this investigation. Six humanescent experiences were carried out with them. As main tools we point out: the participative observation, the sand game, the photographic register and the semi-structured interview. The analyses were centered in the categories of the ludopoetic system, described above and referred to in the theoretical fundamentals selected for the study. From the analyses and to the answers to the objectives of the study, we make clear the following considerations: the reports of the teachers reveal that the humanescent experiences have contributed to make them more ludic, sensitive, emotional and lovely people, and this has reflected in their educational practice and has been making sense in their and their students lives. In this way, we make evident that the humanescent experiences have contributed to improve the ludopoesis of the teachers, revealing in the embodiment changes in their way of being, of living together and in their educational practice. In relation to the contributions of the humanescent experiences to the children educator from the ludopoetic categories self-esteem, selfworth, self-realization, self-territory and self-connectivity, we emphasize the following aspects: with the self-esteem, teachers have become more creative, rebuilding their possibilities of intensely experiencing the pleasure of living; in the context of selfterritory, the teachers have provided the realization of the wishes and expresson of oneself while lively interacting with the environment and with the other different territories of the educational process, in a continuous process of demarcation. Concerning the self-connectivity category, we emphasize that the teachers started to become more tuned with themselves, with the environment and with the other teachers because of the general well-being to the success of personal, pedagogical and institutional objectives, promoting a harmonic, lovely and ludic environment. Concerning the self-worth category, the teachers have valued the struggle for a school that is more committed with the search for happiness. From the self-realization, the teachers have shown self-recognition while ludic beings, playing with the beauty in their lives, allowing the flowing in its completeness, the other possibilities of analysis, the educational formation and development. We would like to emphasize that the considerations above are not over after what has been presented because of the richness of experiences revealed in the research

Formação continuada de professores que ensinam matemática: o papel do ábaco na ressignificação da prática pedagógica

The present dissertation performs a study about abacus part on the continuous education of Elementary School s Mathematic teachers on what concerns the basic operations of addition and subtraction with (re)unification by using the manipulative and/or informatical abacus. Therefore, the research intends to answer the following question: How does a teacher reframe the pedagogical practice while teaching the Decimal Numeral System and the conventional operations of addition and subtraction with (re)unification through manipulative and informatical abacus? In order to do so, we rely ourselves on the Guy Brousseau s Theory of Didactic Situations (TDS) from 1996 that affirms the necessity to trace a way in accordance with the teaching situations that lead the student s learning; and on the work of Pierre Lévy (1993), in which the poles of communication oral, written and virtual create three ways of communication through which the learning process happens. The methodology of this paper was based on the Strategic Research-Action of Franco (2005). The didactic sequence was elaborated in accordance with TDS and used the manipulative and informatical abacus as didactic resource. With the application of the didactic sequence, it was verified that the continued formation of Elementary School s teachers concerning the operations of addition and subtraction on the initial years/levels is pertinent once it has been observed some difficulties of the teachers concerning this mathematical subject. Besides, the analysis of the didactic sequence has allowed one to realize that teachers had some difficulties concerning the numeric representation with order zero, the resolution of operations of addition and subtraction using the manipulative and informatical abacus and the realization of (re)unification on the subtraction with meaning. These observations has been discussed with the teachers and, after that, it has been done some didactic-methodological routings of the operations of addition and subtraction with re(unification) that contributes with the teaching and learning process.