O Ensino de medidas e grandezas através de uma abordagem investigatória

This work relates our experience in an investigative practice in the classroom, carried out in State School Jorge Fernandes , located in Natal - RN, having as objective to validate the applying of a education module about Measures and Largenesses in Primary Teaching. We used the constructivist approach; using to Richard s Skemp (1980) theory in order to explicit the students learning according to their comprehension levels. Initially, we carry out an exploratory research to check the participant s previous knowledge. Then, we developed an intervention to validate an education module, structured from needs pointed out from results of the initial research, analyzing the students advances through the final evaluation, displaying growth stages of group front to the knowledge about the matter approached. Finally, we presented our reflections about our experience; putting forward suggestions of the teachers activities, aiming at contributing to the improvement of their practices in classroom during the approach of subject for us investigated

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

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

Investigação histórica nas aulas de matemática: avaliação de duas experiências

This study reflects on some procedural aspects about the development of mathematics learning from the experience with investigative activities concerning the resolution of second degree equation, which was tested a proposal for education, supported the use of texts in history of mathematics. The survey was conducted in two stages, taking the first-served basis for the second, which was carried out with a study group remainder of the first experiment. The intention was to investigate how the group participant, known as the study group, involved in the implementation of activities of research in mathematics, supported the use of the history of mathematics. Based on the results achieved during the study, it was possible to understand that the activities of research enable the development of students, range of learning mathematics and the development of skills and expertise for research as a vehicle for construction of their mathematical knowledge. This approach proposed research into the classroom is important, both for prospective teachers of mathematics and for students from elementary school, bringing a new phase for mathematical education that will come to schools

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

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

Educação científica no contexto pós-ontológico: por uma concepção plural de conhecimento e educação

The development of this work arises from the research of sociological and philosophical characters contemplating also other approaches which aims to answer the followingquestions: what is the responsibility of science teaching for the image one has about science? ; which scientific education should be designed for nowadays? . After considering the assumptions brought along by rationalism and the criticisms to the illuminist model proposed by sociology and philosophy of science, as well by the biology of the knowing process, going through discussions concerning post-modernity issues, one is given to understand that the image of science has become the central point of discussion in the last hundred years, including what concerns the area of science teaching, and that practically none of those discussions really reached natural science classes indeed. We adopt the term postontological to characterize the recent proposals on philosophy and sociology, because we evaluate that this term allows a better identification of the scientific realism crisis, which supports the existence of an ontological domain which science, and only science, is able to understand. One notices that the general public is not aware of those discussions, mainly if they are science teachers and students. So we believe that discussing the logic in which science is structured, the new understandings concerning the scientific undertaking, especially those of an externalist character, and the relationship between science and society, all of this contributes to build up a science teaching which contemplates a reflective contribution, besides allowing the inclusion of the study of other epistemologies in the educational practice. We argue that a revisionist posture seems to be the most appropriate for the contemporary scientific education, contemplating, besides the teaching of the usual science contents, discussions on the issues involving that knowledge, as well as respecting epistemologies alternative to the modern Western scientific one, in order one can work on the perception of local knowledge generated from other epistemological bases. We describe here practical activities we did involving teachers (short-term courses) and high-school students in an inland school in the Rio Grande do Norte state, in Brazil, as a way to demonstrate the possibility of interventions which can take those conceptions, discussions and changes to the classroom

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

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

Uma sequencia didática para o ensino da resolução da equação do 2. grau : adequação para o uso com professores

The present study aims to check whether the use of activities mediated by the History of Mathematics can contribute to improve the understanding of resolution the 2nd degree equation for teachers and undergraduates that reproduce methods of solving such equations, uncritically, without domain of the justifications for their actions. For this, we adapted a didactic sequence with activities that aims to cause a rediscovery of resolutive formula of 2nd degree equation through the method known as cut and paste. Finally, we presented the activity module containing the didactic sequence used during the study, as suggestion for use in the classroom, by the math teacher

Recorte dos produtos educacionais em história no ensino da matemática e em didática da matemática a partir das dissertações e teses defendidas no brasil entre 1990-2010

This work has the main purpose of conducting a survey of educational products present in dissertations and doctoral theses focused on the use of history in mathematics teaching and Didactics of mathematics with a French foundation produced in graduate programs in the strict sense of the Brazil between 1990 and 2010, the areas of Education, Mathematics Education, school of Natural Sciences and Mathematics and related areas, according to the research proposal of Mendes (2010). Our interest was to select the products that present concrete proposals for educational activities that can be used in the classroom of Basic Education and Training of Teachers of Mathematics. The research was implemented through a bibliographic study documents the Bank of dissertations and theses from CAPES, libraries and archives of some Postgraduate programs in the country who focus their studies on the subject object of this research, besides the Brazilian Digital Library Theses and Dissertations (BDBTD). From this survey we selected works that present educational products materialized in blocks of activities based on the use of teaching history of mathematics to the classroom as well as the sequence of activities based on the Teaching of Mathematics. In possession of material, produce a CD-ROM containing the selected activities, in order to help support the work of teachers regarding the use of these activities, as a supplementary material to textbooks in their math classes

Matemática Védica no ensino das quatro operações

This paper describes a study on the possibilities of teaching Vedic Mathematics for teaching the four operations. For this various literature sources were consulted considering three main aspects. The first of a historical-cultural, in order to gather information about the Mathematics originated from Vedic civilization, which highlight (Plofker, 2009), (Joseph, 1996), (Bishop, 1999), (Katz, 1998), (Almeida , 2009). This sought to emphasize relationships of the development of this culture with the math involved in the book Vedic Mathematics written by Tirthaji and published in 1965. In this respect the work brings notes on the history of mathematics on the development of mathematics in ancient India. The second aspect was related to teaching mathematics through research activities in the classroom, in this sense, I sought a bibliography to assist in the construction of a proposed activity to teach the four operations, based on the sutras of Vedic Mathematics, but within an investigative approach, assisting in the development of mental calculation strongly stimulated by the Vedic Mathematics Sutras. The authors were adopted (Mendes, 2006, 2009a, 2009b), Bridge (2003). The third aspect considered to search for books on teaching Vedic Mathematics, written by other authors, based on the book by Tirthaji. This revealed Vedic Mathematics textbooks adopted in schools and free courses in the UK, USA and India, all based on the book Vedic Mathematics of Tirthaji. From the bibliographical studies were prepared didactic guidelines and suggested activities for the teacher, to assist in teaching the four operations. The educational product, consisting of Chapters 4 and 5, is the body of the dissertation and consists of didactic guidelines and suggestions for activities that aim to contribute to the teachers who teach initial years of elementary school

Os artigos de Euler sobre os números amigáveis

Among the many methodological resources that the mathematics teacher can use in the classroom, we can cite the History of Mathematics which has contributed to the development of activities that promotes students curiosity about mathematics and its history. In this regard, the present dissertation aims to translate and analyze, mathematically and historically, the three works of Euler about amicable numbers that were writed during the Eighteenth century with the same title: De numeris amicabilibus. These works, despite being written in 1747 when Euler lived in Berlin, were published in different times and places. The first, published in 1747 in Nova Acta Eruditorum and which received the number E100 in the Eneström index, summarizes the historical context of amicable numbers, mentions the formula 2nxy & 2nz used by his precursors and presents a table containing thirty pairs of amicable numbers. The second work, E152, was published in 1750 in Opuscula varii argument. It is the result of a comprehensive review of Euler s research on amicable numbers which resulted in a catalog containing 61 pairs, a quantity which had never been achieved by any mathematician before Euler. Finally, the third work, E798, which was published in 1849 at the Opera postuma, was probably the first among the three works, to be written by Euler

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

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Referenciação anáforica: um estudo de produções textuais no ensino fundamental

Esta pesquisa trata da referenciação ocorrida pelas anáforas diretas e indire-tas em produções textuais de alunos do Ensino Fundamental. Como elemento pri-mordial de nossas investigações, ancoramo-nos na referenciação e estudos da aná-fora no âmbito da Lingüística Textual como fazem Mondada e Dubois (2003); KOCH (2003) e Marcuschi (2005). De acordo com estudos já realizados e envolvidos com a temática, defendemos a noção de referenciação como sendo um processo de cons-trução de sentidos que se realiza no discurso, isto é, em atividades interativas entre os sujeitos exigindo, portanto, uma ação colaborativa entre os interlocutores. Nesse aspecto, a interação precisa existir, visto que os referentes de um termo anafórico nem sempre se encontram na superfície textual; muitas vezes, são construídos a partir de uma representação ou modelo mental disponível na memória discursiva. Nessa perspectiva, procuramos analisar o processo de referenciação construído a partir de anáforas diretas e indiretas identificando as estratégias utilizadas em textos produzidos em situações de sala de aula. Dizemos que a anáfora direta, de modo geral, é definida pela relação de correferencialidade estabelecida entre o anafórico e seu antecedente, enquanto a anáfora indireta é vista como uma estratégia referenci-al de associação, sem referente explícito, tendo que se esforçar para estabelecer a continuidade referencial no texto e para isso utiliza-se da ativação (referenciação mental) de elementos novos e não de uma reativação de referentes já conhecidos, o que constitui um processo de referenciação implícita. Para alcançarmos nosso obje-tivo, utilizamos como subsídio teórico, o processo de informação na memória cogni-tiva, a referência e estudos da anáfora no âmbito da Lingüística Textual. O corpus deste trabalho constitui-se de sessenta textos escritos por alunos de 7ª série (atual 8º ano), dentre os quais analisamos o processo de referenciação ocasionado pelas anáforas diretas e indiretas em doze desses textos. Considerando os dados analisa-dos, dentre os tipos de anáforas estudados, constatamos que houve preponderância no uso das anáforas diretas, destacando-se entre elas a anáfora direta correferencial co-significativa, com maior manifestação no uso das retomadas diretas por pronomi-nalização

Variação, mudança e ensino: o caso dos pronomes possessivos da gente e nosso(a)(s) em uma abordagem sociofuncionalista

In this work, we analyze the variation and change phenomenon involving the possessive pronouns da gente and nosso(a)(s) in the light of the theoretical referentials of the North-american linguistic functionalism and of the variationist sociolinguistics. At first we present the phenomenon itself, highlighting the fact that few studies have considered it as an object, gap which we will try to fill in with our contribution. In the following chapter, we emphasize concepts and principles of the functionalism and the sociolinguistics that are used as our background for the data analysis. In the third chapter, we present what the normative grammars inform about our object of study, besides synthesizing some works on variation and change involving the personal pronouns nós and a gente. In the following chapter, we analyze the data. We used data from the Discurso & Gramática a língua falada e escrita na cidade do Natal (FURTADO DA CUNHA, 1998) corpus. In this chapter we present the results for the groups of social and linguistic factors which we can control. Grounded on these results, we specify the preferential contexts for employing the pronouns da gente and nosso(a)(s) and we observe that the social motivations, the valorization credited to the forms and the identity marks underly the restrictions exercised in their use by social factor groups, besides obtaining signs of ongoing changes in apparent time (from the age factor groups) and possible use specializations of each form, what helped us verify the course of the grammaticalization process of the referred pronouns in the community of Natal. In the sixth chapter, we make some considerations on the teaching of grammar and propose activities which can be carried on in the classroom involving the possessive pronouns da gente and nosso(a)(s) considering the variation and change issue

O portfólio na formação inicial do professor reflexivo de inglês como língua estrangeira: uma análise sistêmico-funcional

This research deals with the insertion of the portfolio as a resource to the development of the reflective action in training teachers of English as a Foreign Language (EFL). Its goal is to characterize linguistic marks that show the reflective process in learning narratives collected in portfolios following the considerations of the ideational metafunction of the Systemic-Functional Grammar (SFG) by Halliday (1994). Within the scope of analysis offered by SFG, the system of transitivity was chosen attempting to observe and study the lexicogrammatical choices made by participants to produce their learning narratives. The corpus was composed of twenty-six learning narratives produced by thirteen participants into two distinct modules, designated here as "First Assessment" and "Final Assessment. The analysis were performed using procedures related to Corpus Linguistics, with the aid of the computer resource WordSmith Tools 5.0 (Scott, 1999). The results seems to indicate that preservice teachers, when asked to reflect on activities written on the classroom, use in their narratives a significant majority of mental processes instead of material processes that are common in narratives from other nature. Meanwhile, the use of a portfolio in teacher training in EFL, can be considered as a trigger reflection tool, which allows future teachers' effective monitoring of all their learning process

Referenciação anafórica :as anáforas não-correfereciais no livro didático da língua portuguesa

On recent years, it has been observed an increasing interest on referentiation processes, which involves an important field of Text Linguistics and Discourse Analysis studies. The existence of a significant number of international and national publications which focus on this perspective corroborate this finding. Given the textbook importance as a teaching instrument, and the relevance of the referentiation processes to text production and comprehension, we realize that the study of these two topics articulation is taken as a relevant research theme, with consequences to the improvement of Portuguese Language teaching. Taking this into consideration, we intend to analyze the non-coreference anaphors in texts of Portuguese Language textbooks from fifth to eighth grades, adopted in many schools of Pau dos Ferros RN, considering the frequency, genre, kind of anaphor and manifestation form. This study is classified as a documental and qualitative research. We have found out that the indirect anaphor was used in more than a half of the corpus. We have found out, as well, that the literary and press genres do not favor the use of labeling and metadiscursive anaphors. On the other hand, concerning the indirect anaphor, it is clear its abundant use in the literary genre. In what concerns the manifestation forms, we have verified that on labeling and metadiscursive anaphors it is significant the predominance of demonstrative pronouns working as determiners. On the indirect anaphor, we have verified that most of the occurrences do not present a determiner, and for the ones which present it, the majority occurs under the form of definite and indefinite articles. We believe that this work can contribute to the activities which involve questions related to text production and comprehension, since the referentiation processes are intimately related to them