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

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

Uma sequência didática a partir da temática terremotos com ênfase em CTS

Throughout its history the population of the region of Mato Grande, which includes the city of João Câmara, in Rio Grande do Norte, was subject to earthquakes. These events are caused by a geological fault, known as fault Samambaia. In the 1980s there was an intensification of this phenomenon culminating in an earthquake 5.1 on the Richter scale in the early hours of November 30, 1986, causing researchers from Brazil and other countries to shift to the region to conduct research in Seismology. During this period there was a strong interaction between scientists and local people. With the aim of studying how people experienced that moment that marked the history of the city of João Câmara, from interviews with some individuals who witnessed the incident, is that this research was developed. Taking as a theoretical approach to Science, Technology and Society (STS), aimed to thus carry the theme in a systematic way to the classroom, promoting ways to help teachers with the scientific training and guidance to students in case of occurrence of earthquakes

Propriedades dos sistemas de numeração: uma sequência didática em uma abordagem histórica

This paper aims to describe the construction and validation of a notebook of activities whose content is a didactic sequence that makes use of the study of ancient numbering systems as compared to the object of our decimal positional numbering system Arabic. This is on the assumption that the comparison with a system different from our own might provide a better understanding of our own numbering system, but also help in the process of arithmetic operations of addition, subtraction and multiplication, since it will force us to think in ways that are not routinely object of our attention. The systems covered in the study were the Egyptian hieroglyphic system of numbering, the numbering system Greek alphabet and Roman numbering system, always compared to our numbering system. The following teachung is presented structured in the form of our activities, so-called exercise set and common tasks around a former same numbering system. In its final stage of preparation, the sequence with the participation of 26 primary school teachers of basic education

Inércia e Natureza da Ciência no Ensino de Física: uma sequência didática centrada no desenvolvimento histórico do conceito de inércia

During the last decades the area of science education has discussed issues related to the inclusion of the History and Philosophy of Science (HFS) in the practice of science teaching. Among the arguments put forward in favour of this approach, it is pointed out the possible enhancement of scientific content learning and the understanding of the nature of Science (NoS). In spite of such considerations, we still have a very small number of research papers reporting results of practical interventions that utilize the historical approach, moreover, there is a lack of teaching materials in this perspective. Our work has sought to contribute to this area with regard to two aspects: on the one hand, with the production of didactic material, by drawing up texts on the history of inertia for graduate students. On the other hand, we investigate whether the arguments mentioned above in relation to the didactic use of HFS sustain themselves, in a particular context. We developed and applied a didactic sequence, using the texts that we built, to teach the concept of inertia and discuss selected contents of NoS. The didactic sequence was applied in two graduate classes, one from a course of Geophysics (BSc.) and another from the Physics (teaching formation), both from the Federal University of Rio Grande do Norte (UFRN). An initial survey exposed that students, even having approached the concept of inertia in basic education, presented conceptions of common sense regarding the relationship between force and motion. The questionnaire also allowed us to identify the existence of elements of concepts considered inadequate as regards to NoS. At the end of our research, our data indicated a greater number of positive hits on the issues concerning the concept of inertia. Regarding the aspects of NoS, we were able to identify, in a few cases, a move towards a more appropriate understanding, however, certain distortions persisted, highlighting the limitations of the approach used

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

"Quem sou eu?": uma (re)construção do sujeito por meio da narrativa autobiográfica - proposta didática com um olhar nas interações em sala de aula

As we are aware, the classroom is emerging as a continuous build learning experiences and environment, however, for students also it functions as a place also to be due to socializing with friends. However, not always these elements complement each other, so as harmoniously as we are aware that there are many difficulties, both in the act of learning as in interpersonal relations between them. From this, we understand that it is for the school to seek ways to contemplate such issues so that they feel inserted both with regard to this learning as well as being able to interact with themselves and with others, in a participatory manner, to live well socially. Thus, we find ourselves facing a similar situation with a 9th grade class where the students had certain limitations to have a good relationship with one another, causing thus problems in learning. On the other hand, this difficulty as affectively interact with each other, also, was increased by the difficulty that some students had to speak for themselves and to show their feelings and emotions, getting even more difficult this interaction at school. Thus, we found ourselves obliged to act immediately and need to bring about change in this picture. So it came out the idea of the application of an intervening action which started taking shapefrom a pedagogical project that we developed in other classes in previous years, this time adapted to the situation experienced by the group. The project, framed in the qualitative research and characterized from the action research approach took shape, and elected as its main objective to seek possible alternatives to develop the communicative competence of students, which is why we invest in exercise oral communication (speaking and listening) in order to promote the use of language, the interpersonal involvement facilitating thus their participation both in the classroom and in social life. To fulfill this goal, we set out to develop a didactic book whose support materialized through the autobiographical narrative (molded in writing production) and worked along a structured instructional sequence in three distinctstages that dialogued with each other. Therefore, we base our study from the socio-historical conception and dialogue proposed by Bakhtin in line with the sociodiscursivo interactionism of Bronckart and resort to other scholars as Dolz and Schneuwly, Marcuschi among others. The development of all stages of the project not only has had an immediate effect on what we proposed ourselves as also yielded us very gratifying moments reinforcing to us that the classroom environment goes far beyond the fact ministering content. And that work with orality, with views on affective interaction of these students resulted in a project, so to speak, exciting.

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.

A etnomatemática em uma cerâmica da região do Seridó/RN

This work has as objective to describe mathematical knowledge used as tools in the manufacture and marketing of tiles of red ceramic by potters of the Currais Novos village/ RN, located 250 km from the capital of Rio Grande do Norte. For us to reach our objective, we rely on conceptions ambrosianas of Ethnomatematics, besides of the qualitative research in an ethnographic approach. In the empirical part of the research, that went it accomplishes in the period from 2009 to 2012 in the Currais Novos Village, we support the following tools for data collection, semi-structured interviews, field diary, photographs, audio recordings and participant observations. In the analysis of the collected data, we can conclude that there are mathematical knowledge in the management of manufacture and marketing of tiles, often different from the academic mathematics, mainly in the wood cube, on cube of the clays, in the handler with the measures time, the count method , in the arrangement of tiles, in the preparation of the ceramic mass and sale of tiles. Theses knowledge were described and analyzed in the light of the theoretical Ethnomatematics, also supported in official documents, such as Parameters Nacional Curriculares. The analyzes of these knowledge generated subsidies for elaboration of an educational product - a proposal of didactic sequence destined to the Teaching of Mathematics in Elementary and Middle levels for the community schools and region, this proposal is in the Appendix to this work

Letramento literário na escola: o poema na aula de língua portuguesa no ensino médio

Esta investigación está incluida en las discusiones sobre las relaciones entre literatura y enseñanza, recortando el lugar de las escritas poéticas en las clases de Lengua Portuguesa en la Enseñanza Media. En términos epistemológicos, nuestra reflexión problematiza, entre otras cuestiones, el desplazamiento que ocurre cuando las manifestaciones literarias se apartan de sus soportes originales y se adentran a las escenas de la clase de lengua materna, transformándose en objeto de enseñanza y contenido didáctico. En el ámbito de las prácticas escolarizadas de la lectura literaria en la Enseñanza Media, nuestra reflexión tiene como objeto la didactización del género textual poema. En esa etapa de la enseñanza, el poema como componente curricular aún no está definido. Eso es ocasionado, de modo general, por dos razones: por la naturaleza específica del género y por los procedimientos didácticopedagógicos utilizados cuando se hace la lectura del poema en clase. En relación al modelo consagrado de la enseñanza de literatura en la Enseñanza Media, apoyado en la descripción de la historia de la literatura brasileña a través de esquemas cronológicos de movimientos estético-culturales, pretendemos hacer un desplazamiento en lo que respecta a ese abordaje y situar el letramiento literario a partir de las formas líricas recurrentes en la producción literaria en Brasil, en la perspectiva de la enseñanza de la lengua mediada por el estudio del texto. Para tanto, utilizaremos como aporte teórico las siguientes áreas del conocimiento: la teoría literaria, la lingüística aplicada y la pedagogía de la enseñanza de lengua materna

Entre salinas e maledicências: uma leitura do romance Macau e sua aplicabilidade ao ensino de literatura

The objective of this research is to present a reading of the novel Macau (1934), authoring of Aurélio Pinheiro, situated in the context of Brazilian literature produced in the 30s of the last century and analyze the settings of language that reveal individual and social conflicts related to tensions arising of the modernization of a city in the interior of Rio Grande do Norte, in view of the applicability of this knowledge in the educational context. The discussions on the teaching of literature led to an internship experience in the higher education, with the guiding literary reading of the novel Macau. In this sense, this research, bibliographic, analytical and empirical, is in discussions between literature and education that allow us, in addition to a critical reading about Macau romance, a look both in basic education and in teacher training, which justifies linking this thesis in the research line “Reading of the literary text and teaching”. The objectives were met from literary readings of the text, brief study of the author, analysis of the tensions expressed by language, literature defense as a universal right, panoramic review of research on the teaching of literature, reading official documents governing the Brazilian education, discussion of teacher training, training in higher education with application of a didactic sequence, receipt of that novel by teachers in training directed to the applicability in basic education. For this, the research was the theoretical framework primarily the studies of Antonio Candido (1976; 1995), Luís Bueno (2006), Walter Benjamin (1985), Mikhail Bakhtin (2010), Hans Robert Jauss (1994), Theodor Adorno (2006), Antoine Compagnon (2009), and Rildo Cosson (2009).

Literatura: o espaço da criação e transformação identitária na sala de aula

Este trabajo pretende señalar maneras de cambiar el concepto de que los estudiantes de una clase de noveno grado de la escuela primaria en la Escuela de Estado Dr. José Gonçalves de Medeiros, en la ciudad de Acari-RN, tienen de sí mismos, de su entorno cultural y su capacidad de producción poética. Además, las referencias a las desigualdades sociales en Brasil utilizando como eje motivador de leer la poesía de Conceição Evaristo relacionada con la memoria, la lucha y la apreciación de ascendencia africana. Las aportaciones teóricas sobre la situación socio-interaccionismo, la poesía, la poesía en la escuela y la secuencia didáctica colaboran para afirmar que el estudiante de escuela pública en su discurso revela influencia del entorno familiar, social y cultural, sino también el entorno educativo, así como los primeros signos de sentimiento nacional: una mayoría excluida. Su poesía haciendo tiene sus raíces en el entorno socio-cultural y geográfica, lo que denota un principio revuelta, sin embargo, con el reconocimiento de las contribuciones de las clases desfavorecidas para la construcción de nuestro país, el estudiante tiene otras cuestiones, como el mestizo, la identificación África y el orgullo de su origen, la memoria y la cultura. Por lo tanto, se confirmam la relación rizomáticas entre las dos realidades. La elección de la investigación de intervención, en la confluencia con la investigación-acción y la investigación participativa se debe al hecho de que el intercambio de experiencias en la investigación científica es rica y significativa. Con el uso de una secuencia didáctica, cuyo eje sentir la poesía, analizar textos y hacer poesía, el estudiante es llevado a la percepción de las ventanas del universo contenida en este género literario, que es una herramienta comunicativa que ofrece numerosas posibilidades expresión, conocimiento del otro y reconocer mutuamente.

Minicontos: uma prática de letramento emergente na escola

Like numerous other mini ficçion genres, the Flash fiction is configured as a concise and brief genre, but it can still preserve some elements of the traditional tale, such as: narrator, space-temporal unit, characters and plot. For some authors, the emergence of this genre is strictly connected to the speed and diversity of forms of communication in the current social context, that require the reader other skills in addition to reading and writing. Considering the importance of these skills in a literate society and recognizing this genre as potentially effective tool for the development of literacy, this research has as objective to describe the development and implications of didactic sequence directed the literacy practices with the Flash fiction genre. Thus, the research becomes effective in an elementary school vespertine class in 9th grade from Escola Estadual Dr. José Gonçalves de Medeiros, located in the city of Acari-RN. As theoretical assumptions, it will be used fundamentals from Literacy Studies as social practice, especially that ones discussed by the writings Kleiman (1995), Hamilton (2000), Soares (2012), Mortatti (2004) and Rojo (2012). To subsidize the literary literacy, it will be used the theoretical contibutions of Borges (2000), Candido (2004), Pinheiro (2001) and Silva e Silveira (2013). In what relates to the study about the storytellers, it was taken by support the postulates of Gotlib (2006), Bosi (1997), Cortázar (1999), Talbot (2002), Poe (s/d), Luzia de Maria (2004), as well as studies by researchers and writers as Spalding (2007; 2008; 2011), George (2007), Freire (2004) and Trevisan (1994), among others who are dedicated to study Flash fiction. In the methodological field, the proposed perspective anchors itself in an action-researching guidelines (MOREIRA; CALEFFE, 2006) and in the approach of a qualitative data (BOGDAN; BIKLEN, 1994), since it talks to interpretation of diagnosed situation, implementation of intervention actions organized in didactic sequence (SCHNEUWLY; DOLZ, 2004; BARROS; RIVERS-registry, 2014), including description and evaluation of results achieved from the implementation of such actions. The discussions generated indicate that the work with Flash ficition, developed by means of didactic sequences, contributes to the reflection on teaching strategies of Portuguese, used to prepare the students to meet the demands of reading and writing of contemporary society.

A leitura e a produção textual no ensino fundamental I: uma proposta de como trabalhar com os gêneros textuais

The little interest in reading and the large presence of deviations in writing observed in the texts of students of the 5th grade of a public school in RN, led us to question the motives of this problem. Thus, the idea to organize and develop teaching sequences with a variety of possibilities of reading and production through the text genres. The practice with the textual genres in elementary school extends the use of reading and writing and improves the quality of learning. In this way, the school, as one of the most active spheres in social practices of the language, we justify this work with the use of text genres as facilitators for teaching and learning the mother tongue. For this purpose, we draw as the main objective to talk about the work with textual genres from the development of didactic sequences, as well as encourage students to take a more reflexive attitude toward language and its uses, as discursive social practices. The development of the study with the text genres was made through the application of didactic sequences in the school context of elementary school classes, from 5th grade. Specifically were chosen, the letter, note, music, poetry, fable and the tale. The study is anchored in the reflections of the following theorists and researchers: Bakhtin (2011), Miller (1994), Marcuschi (2008) and Bronckart (1999) on the text genres; Marcuschi (2005) and Dolz and Schneuwly (2004) that approve a teaching-learning proposal focused on textual genres, giving a meaning to language in the construction of the knowledge and Dolz and Schneuwly (2004) regarding the didactic sequence; other theoretical orientations: PCN (1998), Lerner (2005), among others. The methodology followed the action research guidelines, in a qualitative approach perspective. The instruments of research included questionnaire, observations, readings and productions. The results pointed the students' interest in relation to the activities developed in the didactic sequences and consequently improvement in the students‘ own writings. In this sense, we reiterate the need to contamplate in the teaching activities the diversity of texts and genres and, not only due to its social relevance, therefore the student should be able to use the language in various way and adapt their texts to situations of oral and written interlocution.

Explorando a matemática dentro da calculadora

This dissertation aims to suggest the teacher of high school mathematics a way of teaching logic to students. For this uses up a teaching sequence that explores the mathematical concepts that are involved in the operation of a calculator one of the greatest symbols of mathematics.