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

Números complexos: uma proposta de mudança metodológica para uma aprendizagem significativa no ensino médio

This work presents a proposal of a methodological change to the teaching and learning of the complex numbers in the Secondary education. It is based on the inquiries and difficulties of students detected in the classrooms about the teaching of complex numbers and a questioning of the context of the mathematics teaching - that is the reason of the inquiry of this dissertation. In the searching for an efficient learning and placing the work as a research, it is presented a historical reflection of the evolution of the concept of complex numbers pointing out their more relevant focuses, such as: symbolic, numeric, geometrical and algebraic ones. Then, it shows the description of the ways of the research based on the methodology of the didactic engineering. This one is developed from the utilization of its four stages, where in the preliminary analysis stage, two data surveys are presented: the first one is concerning with the way of presenting the contents of the complex numbers in math textbooks, and the second one is concerning to the interview carried out with High school teachers who work with complex numbers in the practice of their professions. At first, in the analysis stage, it is presented the prepared and organized material to be used in the following stage. In the experimentation one, it is presented the carrying out process that was made with the second year High school students in the Centro Federal de Educação tecnológica do Rio Grande do Norte CEFET-RN. At the end, it presents, in the subsequent and validation stages, the revelation of the obtained results from the observations made in classrooms in the carrying out of the didactic sequence, the students talking and the data collection

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

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

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

Dificuldades na construção de gráficos de funções

This study describes about graduation s students difficulties of to draw functions graph. Specifically, we intend to observe their abilities evolution, as well as their difficulties during Calculus I subject in engineering course. For that, we show them publications about the elaboration of graphs and its difficulties in obstacle terms and some researches witch contain this subject and that it was done during postgraduate studies in mathematical education. It shows by research methodology aspects related to French didatic s mathematic and some theories of cognitive psychology considering the high value between theoretical-methodological relation that was evidenced in both theoretical conceptions about ways to understand and teach mathematic. This methodology is based on didactic engineering purpose, that consist in preliminaries analysis, conception and didactic sequence analysis prior, trials by application followed analysis up and conclusion. We had also used pedagogicals actions and analysis of results achieved, to classify types of errors made by the 2005 s students during second semester, from conceptions related to the episthemologic and didactics obstacles

O laboratório de ensino de matemática temático centrado nos instrumentos de navegação: uma proposta para o IFRN de Mossoró-RN

This work presents a proposal to build a Mathematics Teaching Laboratory (MTL) whose main theme is the study, construction and use of instruments for navigation and location of mathematical content in an interdisciplinary way approach, and develop a notebook of activities focused on navigational instruments. For this it was necessary a literature review to understand the different conceptions of MTL and its pedagogical implications. The methodology used was literature research, construction and handling of instruments, and pedagogical experimentation. Lorenzato (2006) highlights the importance of an environment and suitable for a professional who can do a good job instruments. The implementation of an LEM can find some obstacles. The lack of support from other teachers or the management, the lack of a suitable place to store the materials produced, the lack of time in the workload of the teacher to prepare the lab activity, etc. Even in unfavorable or adverse conditions, according Lorenzato (2006), its implementation will benefit teachers and students. The lack of teacher training in their initial and continuing education, to use materials, and the lack of manuals with lab activities are also mentioned as factors that keep teachers from MTL. With propóposito assist the teacher of elementary or middle school in building a theme MTL prepared and we are providing a notebook of activities that provides a didactic sequence involving History and Mathematics. The book consists of four accompanied by suggestions for teachers activities, however the teacher has full autonomy to adapt the activities to the reality of your school. Among the instruments of navigation presented in this study chose to build the quadrant due to its simplicity, low cost of material and great teaching potential that this instrument has. But a theme lab is always being built and rebuilt as it is a research environment

Adaptação sociocultural de gestores espanhóis expatriados no Brasil

This study aims at understanding how sociocultural adjustment occurs in the case of managers, and their spouses, expatriated to Brazil by private and public Spanish organizations. To do so, it adopts as main theoretical frame the expatriate adaptation model proponed by Parker & McEvoy (1993), based on Black, Mendenhall & Oddou s model (1991), which establishes three dimensions of adaptation: adjustment to work; adjustment to general environment and adjustment to interaction with host country nationals. This work, of exploratory and descriptive nature, used field research to gather primary data subsequently analyzed with a qualitative approach. Data collection came from individual in-depth interviews with three Spanish managers expatriated in Brazil and two of their spouses. Resulting data were analyzed through one of content analysis procedures, thematic analysis. This research shows that adjustment is obstructed by cultural distance or cultural novelty rather than by work role characteristics, being more successful in expatriates that carry previous solid sociocultural knowledge about host country. It also verifies that the degree of expatriate adjustment is enhanced by the comprehension of cultural differences that originate values and behaviors different from those of the expatriate. It points out that individual factors such as perception and relation skills, flexibility, empathy and self-efficacy are positively linked to the three dimensions of adjustment: work, general adjustment and interaction adjustment. It finds expatriate adjustment to be lowered by spouse unsuccessful adjustment and shows that location in an environment perceived as short in key infrastructures is negatively linked to adjustment in expatriates coming from strongly urban environments. It concludes that expatriate adjustment occurs through progressive understanding of host country environment and through comprehension of the sociocultural context that explains differences between host country behaviors and values and those from the country of origin, a process which is favored by expatriate individual characteristics not directly linked to his/her technical qualification, such as perception and relation skills, flexibility and empathy, together with solid sociocultural knowledge about the host country. This research propones, therefore, that organizations involved in expatriation processes should include in their selection criteria the degree to which candidates possess personal characteristics and sociocultural knowledge that may facilitate adaptation

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

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).

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.

(Re)criando (mini)contos de terror: uma experiência de ensino de leitura e escrita de gênero multimodal

Given the multiplicity of languages and media present in contemporary texts, the work with digital genres characterizes itself as essential for teaching, reading and writing. Virtual media is already present in many dayly activities that require the use of language. This shows that the globalized world brings new demands of literacy and various reading practices. Given this perspective, we propose to work the multiliteracies present in the new texts from the enunciative discourse Bakhtinian assumptions. For this, we chose to be as the object of research / intervention, the horror flash fiction multimodal discursive genre, because it is a multissemiótico digital statement of virtual circulation. In this context, this study aimed to understand how the teaching of this kind can contribute to the development of knowledge related to reading and text production, required by multiliteracies, by performing a Didactic Sequence in the classroom, specifically for two classes of elementary school, 7th and 8th grades of public school. The research was based on Bakhtin's theory and the Circle (2009, 2011) on gender perspective in a dialogic and the proposed Dolz and Schneuwly (2004) for the text of teaching through sequences Teaching. We also use the precepts of multiliteracies focused on Rojo (2012, 2013). The methodology used was based on a qualitative approach. We consider the analysis of minicontos produced by students, it's own hibridism of multiliteracies, the discursive characteristics such as composition, style and subject content, in addition to relations dialogicity present in these statements. At the end of the study, we realized that our intervention contributed to the expansion of knowledge of the subjects involved related to reading and multimodal genre production.

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.

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

Do picadeiro ao céu : o riso no teatro de Ariano Suassuna

The analysis of this work seeks to investigate the meaning of the laughter in the paraibano writer Ariano Suassuna s armorial theater. The study departs, firstly, from an argumentation which centers its content in the theory of the many theoreticians of the question: Henri Bergson, Vladimir Propp, Jolles, Freud, Bakhtin. The essence of the laughter in Suassuna and its esthetic relations are commented, because those elements are responsible for the strength of the literary text. On the condition of scholar about Esthetic and Art History, Suassuna always puts the methods of the estheticism in favor of the loud laughter bearing in mind that it is a source of improvisation, i.e., it may have many senses depending on what it is pretended to transmit to the reader/viewer. The laughter is a mask which is changed to each new situation, representing that way own human condition. Because the theater is an art subjected to recreation, the laughter also is. And because it is a great party where other arts (the dance, the music, mamulengo e the bumba-meu-boi) are present, united to compose a confluent and hybrid language, the meaning of hilarity during the popular celebrations is studied mainly those that happened in Medieval Europe. Thus, in the second part, the basis of the research is the Russian Mikhail Bakhtin s theory that helps to link Suassuna s laughter to the popular party, showing the language used in them and the jokes that give life to the joy of the folk. Soon after, the importance of Suassuna s laughter to the Brazilian Culture, is examined making a reflection about its function at the sociocultural context of the country