Elaboração de uma sequência didática sobre os conceitos geométricos preliminares ao estudo da trigonometria

This study is qualitative, including literature search and preparation of teaching materials. Your goal is to report the study of geometric problems of character presented in the application of trigonometry and work on the preparation of detailed activities that help in overcoming these difficulties. For this, we read some papers on teaching and learning of trigonometry in order to identify the difficulties encountered during their journey. Then separate the geometric difficulties of character and prepare a list of geometric content and procedures associated with them. Thus, we can organize a notebook with activities that would address most of these concepts. Finally we present the specification of activities called Activity on introductory concepts to the study of trigonometry

Abordagem de temas em saúde pública por meio de atividades lúdicas com professoras da educação infantil

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Um estudo de práticas matemáticas históricas e sugestões de uso na matemática escolar

This dissertation aims to contribute on teaching of mathematics for enabling learning connected to the relationship among science, society, culture and cognition. To this end, we propose the involvement of our students with social practices found in history, since. Our intention is to create opportunities for school practices that these mathematical arising from professional practice historical, provide strategies for mathematical thinking and reasoning in the search for solutions to problematizations found today. We believe that the propose of producing Basic Problematization Units, or simply UBPs, in math teacher formation, points to an alternative that allows better utilization of the teaching and learning process of mathematics. The proposal has the aim of primary education to be, really forming the citizen, making it critical and society transformative agent. In this sense, we present some recommendations for exploration and use of these units for teachers to use the material investigated by us, in order to complement their teaching work in mathematics lessons. Our teaching recommendations materialized as a product of exploration on the book, Instrumentos nuevos de geometria muy necessários para medir distancia y alturas sem que interuengan numeros como se demuestra em la practica , written by Andrés de Cespedes, published in Madrid, Spain, in 1606. From these problematizations and the mathematics involved in their solutions, some guidelines for didactic use of the book are presented, so that the teacher can rework such problematizations supported on current issues, and thus use them in the classroom

Obras complementares: um elo entre a leitura e os conteúdos matemáticos

The Federal Government through its Plans and Programs invests in various policies intended to achieve the main goal of the millennium, provide basic education for all. Among them, we highlight in this paper The National Textbook Program, with emphasis on Complementary Works. These works are presented through different genres, such as poems, poetry, short stories, parables, novels, literature, educational materials etc.. providing a range of possible teaching work. However, little is known about the levels of education of teachers as intended. Based on the discussions and studies in this direction, sparked concerns us in the process of teaching and learning in math classes. This made us pay attention to a possibility of study where reading could be included in this process. In this sense, the present study aims at investigating the potential of conceptual and didactic use of Complementary Works on developing the skills of reading and writing mathematics of the first three years of elementary school, and from there, propose a courseware with guidelines for use of these works by teachers of 1st to 3rd year of elementary school. For this, we outline the issues of reading and understanding of mathematical interests as those of our study. In this sense, the proposal was built from the bibliographic works that address the contributions of reading for learning mathematical content, like Machado (2001), Nacarato (2009); Dantas (2011), Smole and Diniz ( 2001). As a result, we created the Guidance for the use of Complementary Works for Teachers to Teach Mathematics with a view to support the practice of teachers and future teachers who teach mathematics. Supported the use of Complementary Works, especially those distributed in public schools by the National Textbook - PNLD and have mathematical content, this guide is intended to present some of the possible use of this feature in math classes. (Education Observatory - Capes / INEP. Ed. 038-2010. TELL Research Group - UFRN - PPGED / PPGEL / PPGECNM - PROPESQ)

Citologia: uma proposta formativa na EaD - UFRN a partir de concepções alternativas

Learning difficulties can have a direct influence on the teaching-learning process of students by reducing their school performance. One factor that may contribute to this negative influence on learning refers to the presence of alternative conceptions, which may have different origins in the educational process. It is of paramount importance, for teachers, for example, to identify the concepts and the difficulties of their students in order for that knowledge can be able to contribute significantly to improve the teaching and learning process. From the following considerations, the present study (still in progress) aims to investigate aspects related to the concepts and difficulties of graduating students in relation to the contents of Biology. The participants of the research were undergraduate students in Biological Sciences from UFRN, studying by Distance Learning (Educação a Distância). To develop the survey, questionnaires were developed to identify the contents in Biology that these students have more difficulties as well as an interview to raise misconceptions regarding the content of cytology. Another tool developed was a textbook evaluation form, which was applied in conjunction with a questionnaire in workshops (short courses) in order to identify possible errors and mistakes that could jeopardize the process of teaching and learning, such as the importance that these learners assign to textbooks in the educational process. From the data collected, a booklet on the content of cytology was developed as a product. It is expected that it can be applied in classrooms in order to improve the teaching and learning in references to Biology, to minimize, for example, alternative conceptions than can occur related to the theme

A leitura de fontes antigas como possibilidade didatica: um exemplo a partir do Almagesto de Ptolomeu

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

A etnomatemática dos trabalhadores das cerâmicas de Russas-Ce e o contexto escolar: delineando recomendações pedagógicas a partir de uma experiência educacional

It is still common among contemporary educational proposals an overemphasis abstraction, to the formalism and symbolism of mathematical knowledge at the expense of the sociocultural aspects of Mathematics. Coming up by questioning some academic mathematical tenets and valuing knowledge developed in different sociocultural contexts within Mathematical Education, the Ethnomatematics is consolidating itself as a research field. Despite its contributions to the educational context, because its philosophical character and the paucity of debates about the subject, the implementation of educational proposals for basic education are scarce. Given this situation, this dissertation comes up with a view to develop an educational intervention in the light of Ethnomathematics in a class of 6th grade of an elementary school from a red ceramic industries workers community, located in a countryside from Russas-CE and from this intervention, to develop a set of pedagogical recommendations aiming basic education teachers. Adopting a perspective of qualitative research, particularly guided by action research, this study used observation, field diary, interviews and activities with students as tools for data collection. It was found that the use of field research as part of teaching and learning favored the placement of students as critical subjects of their own reality . Furthermore, the educational experience culminated in the development of a method of teaching based on a relationship between protocooperational Ethnomatematics and the Resolution of Problems. It is necessary to broaden the debate about the ways in which the Ethnomatematics can contribute to the school context, bringing proposals closer to the reality of basic education teachers in order to help the promotion of an education which values cultural diversity without taking away the students from the access of the academic knowledge

A organização da interação professor-aluno em sala de aula: turnos e o par pergunta-resposta

Este trabalho tem como foco principal a interação em sala de aula, especificando aspectos da organização linguístico-discursiva, na produção conjunta da fala da professora e dos alunos, materializada em turnos, ressaltando o par pergunta-resposta na aula de Língua Portuguesa. Para alcançarmos esse objetivo, inspiramo-nos em alguns trabalhos acerca da organização da interação que adotaram a perspectiva dos estudos interacionais e a abordagem etnográfica, a fim de explicitar o conhecimento nos espaços de ensino e aprendizagem. Entre eles, citamos as pesquisas de Galvão (1996, 2004) e de Matêncio (2001). Nessa direção, descrevemos o processo de interação em sala de aula em uma escola pública, analisando e interpretando as ações de linguagem realizadas pela professora e pelos alunos. Teoricamente, embasamo-nos, principalmente, na Análise da Conversação, ancorando-nos no estudo pioneiro de Sacks, Schegloff e Jefferson ([1974] 2003); nos postulados de Marcuschi ([1986] 2007a); nas pesquisas de Kerbrat-Orecchioni (2006), dentre outros. Explicitamos uma tipologia de perguntas e respostas em sala de aula, quanto à sua forma e função, conforme os postulados teóricos de Stubbs (1987), Araújo (2003), Fávero, Andrade e Aquino (2006), Silva (2006) e Koshik (2010). Analisamos a organização da tomada de turno, seguida de uma investigação sobre perguntas e respostas no discurso desenvolvido face a face. Na tentativa de compreendermos o cotidiano dos envolvidos no cenário de sala de aula, adotamos a abordagem etnográfica e o método indutivo, nas perspectivas de André (2010) e Chizzotti (2006). Os dados foram gerados através de pesquisa de campo, por meio de gravações (em áudio) de aulas de Língua Portuguesa, posteriormente transcritas e transformadas no corpus de pesquisa. As análises demonstraram que a interação entre professora e alunos organizou-se em trocas de turnos, na maioria das vezes, controladas pela professora, evidenciando-se uma relação de assimetria entre os participantes. Esses turnos concretizados, geralmente, no par adjacente pergunta-resposta revelaram como a construção do conhecimento se realiza em sala de aula. Por fim, observamos que a interação em sala de aula de Língua Portuguesa é organizada por aspectos sociais e pedagógicos intrinsecamente imbricados

Procedimentos de abertura e fechamento de tópicos na interação em sala de aula

This study is part of interactional perspective, focusing on Conversation Analysis theories, from the Textual Interactive Perspective and Text Linguistics . This research, from its guiding questions, aims at understanding the interaction between teacher and students in the process of the knowledge construction as well as at describing, analyzing and understanding aspects of topical organization speech in the classroom in elementary school, observing the opening and closing procedures of the speech topics in that particular space. Considering that the procedures for opening and closing of discursive topics occur through language marks, we tried to identify which speech marks are used in the opening and closing of the topics studied in the classroom, in interaction during the collaborative process of the discourse established between teacher and students. Therefore, this study is based on authors who analyze specific questions of the text in real context of language use: Koch (1993, 1999), Jubran et al (1991), Jubran (2006), Pine (2005), Penhavel (2010), Galembeck (2012), Barros (1991), Marcuschi (1986 , 1990, 1991 , 1998 , 1999, 2003 , 2004a), Kerbrat - Orecchioni (2006), Favero (1999, 2002) and Galvão (2004, 2010). As a methodology of investigation, the study is focused on the postulates of ethnographic research in order to carry out data collection, through audio and video recordings which were transcribed, according to the NURC project proposal, with some adaptations. Data analysis showed that the procedures for opening and closing of the speech topics occurred by the use of discourse markers, in particular the marker "then", allowing us to understand that these elements are important in the topical organization speech, contributing to ensure textual cohesion and coherence. We conclude that the organization of the discursive topic in the classroom occurs through events that support the explicitness of the content of teaching and learning, considering the diverse necessity of an institutional academic plan, whose main objective is the construction of knowledge

Representações discursivas de Ficar e Namorar em textos de vestibulandos e pré-vestibulandos

This doctoral thesis investigate the way vestibulandos and pré-vestibulandos construct their discursive representations of Ficar and Namorar in their textual production. At the same time, aims to discuss its implications for the ATD and for the teaching and learning of textual production in the context of Portuguese Language classes. Its theoretical framework is inspired mainly by three sources: textual linguistics, the textual analysis of discourses (ADAM, 2008), as well as by frames semantics (FILLMORE, 2006; FELTES, 2007). The methodology is based on a combination of qualitative and quantitative approaches (VIANNA et al., 2008). The data is composed of 168 empirical texts written by the vestibulandos of PSV/2005 da UFRN, Natal, RN, and by secondary school students who attended Escola Estadual Juscelino Kubitschek (EEJK), Assú, in the 2008 school year. The results indicate different categories of discursive representations of Ficar and Namorar , such as designation of referents, prediction, aspectualization, spatial-temporal circunstances , and metaphor, which reveal the influence of factors such as: the encyclopedic knowledge, the culture, as well as the cognitive components related to textual production. These results point out to the necessity of a teaching practice which enables the interaction among students, the discussion of current themes, as well as the student involvement with different textual genres, mainly the work with textual production in the classroom, so that it enables the students do acquire the textual production strategies. Thus, the overall goal is the (re)construction of their discursive representations, so that they can cope with new contexts of communicative interaction.

Foucault e a arte do cuidado de si: uma nova possibilidade de Discussão para a formação continuada de professores de língua inglesa

This thesis proposes a new thinking on the English teacher and their continuing education, leaving the picture emerging of a new professional, who is producing and being produced. From this perspective, I present an analysis of self writing of thirteen student-teachers, teachers on how they position themselves to be discursively constituted as subjects in the context of continuing education. As part of Applied Linguistics, the theory and method that supports the analysis of data are articulate key elements of Foucault notions, namely:The care of the self, seeking their connection with one another and care of and the self writing. In the theoretical notions of these elements are implied notions of others, such as speech, ethics, technology of the self, subject and truth. (Foucault, 1984, 1995, 2004c, 2006), and questioning the ethics of the subject. I propose to examine selected excerpts from the self writings of student teachers with a specialization in Teaching and Learning the English Language, seeking linguistic processes in the material production of subjectivities.In order to analyze the process of subjectivation, I examine the discursive statements of selected cuts, aiming to learn more specifically, the points of identification and fragments of the uniqueness of the teachers, showing how they care for themselves and reflect upon them in building their subjectivity from the technologies of the self, to occupy the position of English Language teachers. The results show that, in the exercise of self writing, the subject falls, and a practice of asceticism, discursively construct her/his subjectivity

Função Afifim: Teoria e aplicações

In this work we present a proposal to contribute to the teaching and learning of affine function in the first year of high school having as prerequisite mathematical knowledge of basic education. The proposal focuses on some properties, special cases and applications of affine functions in order to show the importance of the demonstrations while awaken student interest by showing how this function is important to solve everyday problems

Aprender e ensinar na escola inclusiva: desafios na construção da identidade de pedagogos

The democratization of Brazilian education and discussion about the educational rights of persons with disabilities in refer to reflection on the conceptions of teaching and learning and the folding of these concepts in practice and in the formation of professional identity of the teacher educator. Thus, the proposed research in this dissertation aimed to describe educational processes developed by educators in classrooms in which they are enrolled students with disabilities a view to considering how these processes affect the construction of their professional identity of the pedagogue. As the methodology used to research is classified as Case Study. This methodological approach enables the analysis of singularities of educational contexts. In this work, the case investigated consisted of the analytical study of the pedagogical practices developed in classrooms where there are students with disabilities and their relation to the establishment of the professional identity of the teacher in a school linked to a non-governmental organization supporting people with disabilities in the city of Natal / RN. The Data were collected through the use of the following instruments: exploratory questionnaires, observation and respective registration in the field diary of research and interviews with educators in different professional cycles proposed by Huberman. The data reveal didactic and pedagogical aspects common in educational processes in the observed classes and differences concerning the specifics of pedagogues in the teaching profession in different moments of their professional careers. The analysis of the conceptions tell us the nuances of meanings constructed on teaching and learning and its interface with the reflection on teaching practice. As to the meaning assigned to be pedagogue research highlights the professional identification related to the meanings of teaching and learning in school. The experiences in the teaching profession according to the survey data point to changes in teachers conceptions about teaching and learning disabled people in the perspective of inclusion. Therefore, the study concludes that the pedagogical practices with students with disabilities the different experiences add up and can transform conceptions of teachers about teaching and learning interfering with constant reflection on practices and the construction of professional identities of pedagogues.

A motivação no teatro musical sob a perspectiva da teoria da autodeterminação

Este estudo teve por objetivo geral investigar os processos motivacionais dos participantes de um grupo de Teatro Musical sob a perspectiva da Teoria da Autodeterminação - TAD (RYAN; DECI, 2004; REEVE, 2006). Os pesquisadores Edward Deci e Richard Ryan (1985, 2000, 2008a, 2008b) afirmam que todos os indivíduos possuem uma propensão inclinada à autorregulação. Por esse motivo, a TAD analisa as razões pelas quais os indivíduos podem se envolver ou evitar participar de determinadas atividades, e adota um conceito de internalização que é representada por um continuum de autodeterminação, evidenciando os diferentes tipos de motivação previstos na miniteoria da integração organísmica. Os tipos de motivação podem ser identificados de acordo com o nível de autodeterminação dos indivíduos, através da satisfação de três necessidades psicológicas básicas: a necessidade de autonomia, a necessidade de competência e a necessidade de pertencimento. Esta pesquisa tem uma abordagem qualitativa e escolheu-se o estudo de entrevistas como estratégia de investigação, utilizando a entrevista semiestruturada como principal técnica de coleta de dados. A pesquisa foi realizada com 12 participantes de um grupo de Teatro Musical de uma universidade do Estado Rio Grande do Norte, referida na pesquisa com o pseudônimo de Companhia Musicale. Os resultados apontam que a principal motivação dos alunos não era a intrínseca. Portanto, a motivação foi considerada complexa e multifacetada, pois os participantes passaram por internalização do comportamento dependendo das condições situacionais. As complexidades nas interações puderam promover a satisfação das necessidades psicológicas básicas dos integrantes que apresentaram maior internalização dos comportamentos autodeterminados. Assim, os integrantes com maior desempenho nas tarefas foram os que internalizaram a importância e o valor das atividades. O estudo busca contribuir para futuras pesquisas e colaborar no sentido de perceber a importância de investigar e promover a motivação de alunos, professores, diretores, regentes, coordenadores e participantes de grupos artísticos em geral, trazendo esclarecimentos que ressaltam as contribuições e a importância que a motivação tem sobre o ensino, a aprendizagem musical e o envolvimento de participantes de grupos artísticos em diferentes atividades.

A motivação no teatro musical sob a perspectiva da teoria da autodeterminação

Este estudo teve por objetivo geral investigar os processos motivacionais dos participantes de um grupo de Teatro Musical sob a perspectiva da Teoria da Autodeterminação - TAD (RYAN; DECI, 2004; REEVE, 2006). Os pesquisadores Edward Deci e Richard Ryan (1985, 2000, 2008a, 2008b) afirmam que todos os indivíduos possuem uma propensão inclinada à autorregulação. Por esse motivo, a TAD analisa as razões pelas quais os indivíduos podem se envolver ou evitar participar de determinadas atividades, e adota um conceito de internalização que é representada por um continuum de autodeterminação, evidenciando os diferentes tipos de motivação previstos na miniteoria da integração organísmica. Os tipos de motivação podem ser identificados de acordo com o nível de autodeterminação dos indivíduos, através da satisfação de três necessidades psicológicas básicas: a necessidade de autonomia, a necessidade de competência e a necessidade de pertencimento. Esta pesquisa tem uma abordagem qualitativa e escolheu-se o estudo de entrevistas como estratégia de investigação, utilizando a entrevista semiestruturada como principal técnica de coleta de dados. A pesquisa foi realizada com 12 participantes de um grupo de Teatro Musical de uma universidade do Estado Rio Grande do Norte, referida na pesquisa com o pseudônimo de Companhia Musicale. Os resultados apontam que a principal motivação dos alunos não era a intrínseca. Portanto, a motivação foi considerada complexa e multifacetada, pois os participantes passaram por internalização do comportamento dependendo das condições situacionais. As complexidades nas interações puderam promover a satisfação das necessidades psicológicas básicas dos integrantes que apresentaram maior internalização dos comportamentos autodeterminados. Assim, os integrantes com maior desempenho nas tarefas foram os que internalizaram a importância e o valor das atividades. O estudo busca contribuir para futuras pesquisas e colaborar no sentido de perceber a importância de investigar e promover a motivação de alunos, professores, diretores, regentes, coordenadores e participantes de grupos artísticos em geral, trazendo esclarecimentos que ressaltam as contribuições e a importância que a motivação tem sobre o ensino, a aprendizagem musical e o envolvimento de participantes de grupos artísticos em diferentes atividades.