RCAAP Repository

To teach classes on the conic 3rd year of high school, always observed that most students did not recall the main de nitions, and had great di culty. To improve learning this, think of a proposed intervention that did the student work in a more pleasant way this content. With the advent of computing and software GeoGebra, elaborate didactic itineraries practices, so that they could revise and deepen the main concepts of conic. This work was then developed in order to make the students could visualize and deepen the knowledge previously studied in books, aiming at a better xation of the content. It is designed with questions, so that students examine the de nitions, discuss the results, and from there to better understand the content, and know a little of the appearance, the history and evolution of knowledge on conic.

The present work is a study of Teodoro spiral, for the geometric aspects of the curve. At rst, the construction of Teodoro spiral in two and three dimensions is made. And through the softwares, GeoGebra and wxMaxima were developed respectively, the geometric constructions and the necessary calculations. With the possession of the spiral of concatenation, observe the pattern of behavior of growth and position, the collared peccary in the n - th triangle. Going through measurements of Teodoro spiral with other spirals such as the Archimedean, we come to denote behavior patterns in expanding spiral. The following is an arithmetic study on the spiral obtained by the length of the branches of the same, both perfect and imperfect hits with square also spaced apart relationship between them allows us to observe numbers as the . The distribution of prime numbers is seen as the nal part of this study, where you see speculatively allowing the formation of new curves on the spiral, as parabolas.

This paper deals with some peculiarities involving mathematical writing that generate many communication problems through different perspectives. In a time where the Internet is increasingly used and where it is common to see people on the streets carrying tablet computers, smartphones and even laptops, it is unacceptable that there is no simple and common knowledge way to insert a mathematic equation on a web search. Initially we address the interaction between people with special needs, especially those who make use of applications or devices for easy communication, then treat the virtual communication applied to the form of distance education, whether instantaneous or not instantaneous. Following deal about differences between Mathematics written in Portuguese and other languages as well as inconsistencies in mathematical notation observed in Brazil. Then treat the common text input forms used in Information and Communication Technologies to finish with a rough draft agreement that meets the needs exposed at work.

In this work, we show basic results about the so-called trans nite numbers and their cardinal arithmetic. For these purpose, we also show some results involving the set theory, as well as equinumerosity, nite sets, in nite sets, countable sets and uncountable sets.

In this work we study some applications of the Poncelet's Theorem for teaching geometry. One of our main motivations for this work is that in some the high school leved math courses the study of geometry is slightly used and in certain circunstances the theorems are not demonstrated to the knowledge of the theories discussed. Finally, a list of exercises is proposed.

Here we present a research about fractals, its history, mathematical concepts and applications. Some constructions were developed using some basic concepts of the Theory of Numbers, Trigonometry and Linear Algebra that can be applied in High School. We presented some activities that can be applied in High School’s classes in order to develop mathematical concepts such as geometric transformations, Geometry, Trigonometry, Logarithm, notions of limit among other topics. Keywords: Fractal Geometry, Geometric Transformation, Logarithm, Pascal Triangle, Arrays, Linear Algebra, High School.

This work, after a brief history and theory of probability, approaches the subject geometric probability. We believe it is an important branch of probability theory and we had the opportunity to present some examples. Initially, we studied the most famous problem in geometric probability, which is the problem of Bu on's needle. After a few years, the application of this problem allowed Allan MacLeod Cormack and Godfrey Newbold Houns eld, Nobel Prize winners in Medicine, the invention and development of computed tomography. This work also presents an interesting way to calculate areas of no elementary gures by using the geometric probability via the Monte Carlo Method. Another topic addressed concerns probabilistic paradoxes. The paradoxes presented are those which are contrary to common sense.

With the help of GeoGebra software, as didactic resource to illustrate a family of curves and its Envelope. In the rst chapter presents some examples of getting the equation of a curve family (segments, polyline, circle) and some Envelopes (line, circle, ellipse, parabola, Hyperbola, lemniscate equilateral, cardioid) of these family of curves, as well as the deduction of some properties of the parabola and the Hyperbola. In the second chapter we present a procedure for the determination of the equation of this envelope with some examples of algebraic manipulations to determine it.

The literary reading becomes increasingly scarce in school, and the work with the classic texts face resistance from students, and even among some teachers, who take a sacralized attitude before the canonical work, spreading the false idea that literature is something reserved only for the brightest minds. This paper discusses the use of literary adaptations in elementary school as a way to stimulate literary literacy practices that arouse interest in the fiction texts. We recognize that reading a rewriting never replace the reading of the work in its integrality, however, we also believe that it is a school’s duty, as the main literacy agency and privileged space for literary approach, make known to his students as many possible narratives, from the early grades. At the end of the discussion, we present a pedagogical proposal with a classic condensed version, seeking attest the relevance of the work with the rewriting for the development of new approaches to literature in the classroom, making possible to discuss it in the different levels of education. The work is intended, therefore, to all who are interested in the issue of literary readers formation in school and in the use of rewriting as reading incentive materials.

This work has the broad objective to investigate theoretical foundations about memories and identities that are supporting the pedagogical intervention project. This intervention aims to record the memories and its contribution to the community, from the design to recover the past and tradition is a way to give meaning to their own existence through the discovery identity. We show the methodology of the practical application of the intervention design and the analysis of textual productions developed in the classroom with students from 9th grade of elementary school. The theoretical support of this research is based on Bergamaschi (2002) Memory: between the oral and the written, Hall (2011), Cultural identity in postmodernity, Le Goff (2013) History and Memory, Matos (2014) The word of the storyteller: his educational dimension in contemporary times, Schnneuwly; Dolz (2011) Genres oral and written texts in school and has support from the works of Casimiro de Abreu (1999); Manuel Bandeira (2004); Cecilia Meireles (2004); José Lins do Rego (2008), among others. From this study was drawn up intervention project that provides a record of personal and family memories, starting from speaking, as a team, for writing mode. The exercise of orality first occurs spontaneously and disengaged, without formal concern, then is recorded on video. Motivating texts are presented, especially the novel Menino de Engenho (Plantation Boy), by José Lins do Rego, in which the protagonist narrates situations with family, exposing the respect, admiration and the delight of the affectionate familiarity, still exposes the storytelling marked its childhood. The writing activity takes place in order to record data about the life of each one, from birth to the present day, and your social life, thus creating a report of memories. Another time are narrated events lived with relatives - parents, siblings, cousins, grandparents, uncles ... - significant for your memories and identity formation. The corpus analysis of the research made it possible to prove that the proposed objective was achieved.

This work makes a significant approach to the presence of African-Brazilian literature in elementary education and more specifically a proposed intervention for the 9th year of Elementary School located in a town in the hinterland of Paraíba/PB. Such work as main objectives to discuss aspects related to official documents that underlie the law 10,639 / 03, to bring out the problematic insertion of African-Brazilian literature in the classrooms of elementary school and especially the 9th grade and suggest activities that may intervene practice of the Portuguese Language teachers in regard to the literature approach in the classroom. The study is based on the Federal Constitution of 1988, in the LDB, Law 10,639 / 03, texts and BEZERRA and COSTA, (2013); COSSON, (2014); PCN's / 1997; PLURALIDADE CULTURAL (1997); LEITE (2011) among others. The intervention proposal consisted of two questionnaires and five literary workshops in the classroom with students. These workshops were conducted as described order and numbering and questionnaires were administered one before and another after the workshops.

In this work we present some resolution techniques of equations whit intergers coefficients. Such equations although they' re very similar, presents quite different techniques from each other. we show wich are the interger solutions of the equations like x²+y² = z² e x-² + y-² = z-², as the are know as the Pythagorean equations. we also present brief history about the Fermat' s last teorem and we show that the equation x + y4 = z4 has no interger solution.

This work is about research done Fibonacci's Numbers. Initially it presents a brief account of the history of Leonardo Fibonacci, from his most famous work,The Liber Abaci, to the relationship with other elds of Mathematics. Then we will introduce some properties of Fibonacci's Numbers, Binet's Form, Lucas' Numbers and the relationship with Fibonacci's Sequence and an important property observed by Fermat. Within relationships with other areas of Mathematics, we show the relationship Matrices, Trigonometry and Geometry. Also presents the Golden Ellipse and the Golden Hyperbola. We conclude with Tribonacci's Numbers and some properties that govern these numbers. Made some generalizations about Matrices and Polynomials Tribonacci.

This study aimed to analyze if the relationship between phonological awareness and the acquisition of writing is productive for the literacy process. It is a study of qualitative, descriptive and interventionist nature, which was developed with students belonging to the initial cycle of literacy from a public rural school in Curral de Cima (PB). To achieve our purpose, the research was conducted in three stages: the first we apply a pre-test to diagnose levels of phonological awareness and writing of the surveyed students and, by analyzing, observing the difficulties presented written; in the second stage, we developed and applied a proposal of didactic intervention based on the Pacto Nacional Pela Alfabetização na Idade Certa, PNAIC (BRASIL, 2013), with activities that promote the development of phonological awareness and writing; and the third step, we apply a post-test in order to verify the performance of students in relation to the acquisition of writing. Data collected constituted the corpus of this research and the results allowed us to understand how the relationship between phonological awareness and the writing acquisition process is productive to the process of literacy; but for this, it must prioritize the teaching methodology that seeks to provide students an understanding of the alphabetic writing system, through the development of phonological awareness. To give theoretical support to this work were fundamental studies developed by: Smith (2003-2014), Cagliari (2009) and Morais (2012), which based our design on literacy and literacy. Also contributed to the understanding and analysis of the data the reflections of Alves (2009), Capovilla and Capovilla (2010-2011), Lemle (1991), Morais (2012), Kato (1993) and the PNAIC (BRAZIL, 2012-2013) on phonological awareness and written language. From the results of this study, we reflect on our practice of the classroom, correlating the phonological awareness of contributions and written language to reframe the literacy process.

This study aims to develop a reading and text production project using the discursive genre ‘comic strip’, applied in a 5th grade class of elementary school, composed by twenty students, in the municipality of Santa Rita - Paraiba, and to present the results of the project. After a diagnosis made with the present group, we confirmed the deficiencies in reading and writing production of the comic strip genre. Furthermore, we noticed that the teaching guidelines in textbooks aimed at the production of written comic strips are still scarce, which also justified the development of a pedagogical intervention project, aiming at overcoming these difficulties. The teaching of Portuguese Language from genres presents an indicator of the main limitations in reading and writing present in the classroom, in addition to serving as a guide to conduct the teacher in his teaching acting and development of teaching material facing these mishaps. Thus, this study was anchored by theoretical assumptions of Bakhtin (2011) and Fiorin (2006) about discursive genres, the research of Marcuschi (2008), the study of Solé’s reading strategies (1998), the research on the teaching of reading and text production from genres by Koch and Elias (2012, 2013), among others, and following the guidelines of the PCN (1998). Following the model of the didactic sequence proposed by Lopes-Rossi (2011), the project was divided into two stages: 1st) reading project, which was divided into four moments; 2nd) written production project, divided into six moments. Regarding the methodological procedures used as the basis for the analysis of our corpora, which are the reading activities and strips produced by the students at the end of the project, we made a comparative analysis between the diagnosis activity and the written productions, after the application of the didactic sequence, paying attention to the discursive and compositional aspects of the gender comic strip. Confirming our hypothesis, the analysis of the results indicates that after the development of the intervention project, there have been significant advances in the reading and written production of the students.

This dissertation is an interventionist and applied research aimed to equip students in the 9th grade of elementary education at a public school in the city of João Pessoa-PB, in order to become competent writers and critics of their own texts, through a proposal for teaching and production of the opinion article genre, guided by the approach of didactic sequences. The implementation of this procedure took into account the context of production and reception of that genre and primarily focused on its linguistic and discursive features, from a procedural conception of writing activity. In this perspective, to accomplish our research, we resorted to Bakhtin (1986 [1977], 2011 [1992]) and Marcuschi (2008), regarding the understanding of sociointeractionist nature of language and the concept of textual / discursive genre as well as to Dolz, Noverraz, (2004), regarding the didactic sequence proposal. We also recurred to the contributions of Antunes (2003, 2006, 2009) and Passarelli (2004, 2012), aimed to reflect on the process of teaching and learning of writing at school. The analysis was based on the very textual production of the students involved in the investigation. In this sense, the analysis corpus consisted of ten (10) opinion articles produced by the students, in two versions: in its first version and last, totaling 20 texts. In the analysis of the initial production, we found problems related to the genre structure under study, to the informativeness and to the standard use of the language, which were worked out in the modules / workshops, step envisaged in the didactic sequence proposed. This intervention was followed by the rewriting of the original text, whose difficulties were largely overcome. The results allow us to state that the didactic and pedagogical procedure that we have adopted contributes to develop a linguistic-discursive competence of students.

Life of Human beings, currently, is totally linked to new technologies which, definitely, come to stay, attracted people attention. Those technologies made daily activities easier and faster. All these facilities propose a virtual environment a place of interaction and research, particularly concerning how language is handle by youth. In this context, the way to develop teaching school has been hard and considered like a disadvantage competition being school far from away student’s reality: these use technologies frequently day by day. Considering this fact, we decided to work on this issue in a primary school in the city of João Pessoa, with the main objective, to understand that the use of the media favors the educational practice, when the orientation is focused to the conscious use of the virtual environment to encourage research and systematization of information on the network for the construction of knowledge. Seeing all these statements, we took as theorical background of studies as Levi (2010), Schmitd-Cohen (2013), Moran (2010), among others, these scholar brings important contributions about how technologies as a big phenomena and the urgent modification education environment has to receive, in order can follow this evolutionary process. We also saw studies that underground literacies practices at school, hypertext and multiliteracies concepts. To do that we looked at Marcuschi (2010), Antunes (2003), Xavier (2010)and Rojo (2012), among others scholars. Based on these studies and based on approaches, we realized a research using questionnaires to teachers and students to bound the plot around school/field in Action Research. From this view, we elaborate and developed a pedagogical intervention as searching with didactical sequences just in what is proposed by Schenewly and Dolz (2004) In the early period of sequence, students ninth grade from mentioned school used their previous knowledge about technology to produced videos on semiotics language. They also produced a first version of electronic genre/support Blog. After analyze and reflection about these first productions in modularization period, they received pedagogical support on multiliteracies form to change they knew previously, leaning new concepts and new language production, reflecting about written and making communication on specific functions and goals. At the final production there was a presentation to school community of the Blog “Portal S. A, conscientizando vidas”, electronic genre which lead like a support to publicize their productions. The experience was measured by school like in order to not only for develop communicative competences in our students but also it provides innovator technology contemporary uses as a great helper for teaching and learning construction.

The National Curriculum Standards (BRASIL, 1998) recommend that the teaching of the Portuguese language must adopt the text as the basic unit of teaching and the notion of genre as a teaching object. In addition, the document acclaims that in the elementary education, students should become able to interpret and efficiently produce the most diverse genres. However, these recommendations have been a challenge to the school, which very often does not know what way to follow to attain that purpose. Thus, we developed this dissertation with the main objective to contribute to the training of proficient and critical text producers through reading and writing activities, whose theoretical basis are the contributions brought by: Bakhtin (1997), Cavalcante (2013), Dionisio (2011), Fiorin (2006), Kleiman (2005), Koch and Elias (2013 and 2014), Lopes-Rossi (2011), Marcuschi (2008), PCN (BRASIL, 1998), Rojo (2009), Soares (1998), among others. From the choice of the genre of discourse advertisement, this research is justified by contributing to the work with this genre occur more broadly than in textbooks, promoting the progress of students in reading and writing practices. Therefore, we developed this research, which is characterized as descriptive, applied, and interventional, being also an action-research, where occurs both the work of researchers and participants involved in the problem, which was the difficulty in the written production of the genre. Thus, the progress of this research occurred through the collection of productions of this genre from twenty-two students in a public school in Paraiba, from a class based on a textbook in order to verify the sufficiency of the material in teaching the genre and intervene on the difficulties presented. We developed an interventional proposal in the form of didactic sequences, based on teaching modules of Lopes-Rossi (2011) and after the implementation of the sequences, we asked for one more production of the genre. Thus, the corpus of this research was formed by the productions before and after the application of the didactic sequences. After the intervention, we analyzed the texts and realized the progress of students as regards the genre dimensions, the discursive adequacy, the textual-linguistic aspects and the use of persuasive resources.

This study aims to present the results of an intervention in a classroom in order to reframe the teaching practice with the acquisition of digital literacy through the use by students of Edmodo digital tool. Characterized as a qualitative study, with descriptive and interventional character, was developed with students of the 7th year in a public school located in the neighborhood of Catingueira (Acacio Figueiredo) in Campina Grande-PB. To reach our goals, research is structured in the following stages: analysis and exploitation of Edmodo tool, setting the students to the platform interface, application didactic sequence and analysis of activities for investigation to favor practices of literacies among participating students. Data collection and the results achieved with the intervention led us to the introduction of new practices and that the incentive for writing a multiliterated perspective is valid, since activities are applied to permit access, analysis, production and socialization texts in different languages and still, that allow the student access to new conceptions of reading and analyzing texts. As a theoretical basis, we based on authors who talk about computer science, the relation between technology and education, literacy, multi literacy, digital literacy and assessing the feasibility of Edmodo social interaction platform, like Xavier et al (2011); Almeida et al (2000), Alves, Zambalde and Figueiredo (2004); Almeida and Fonseca Junior (2000); Sousa, Moita and Carvalho (2011); Coscarelli and Ribeiro (2011); Moreira and Caleffe (2008); Gabriel (2013); Bisognin (2009); Marcuschi (2008), and Shephered Salies (2013), Trjara (2008), Tanzi Neto (2013), Valente (1997). As the methodological procedures, an intervention through the application of a didactic sequence with cellular support the use was conducted for carrying out activities in the platform Edmodo.

This paper presents the results of a school activity that aimed to provide training on reading especially to the production of multisemiotics texts, using cell phones as a teaching device, considering that this instrument, though banned at school, had being used improperly in classroom especially for social networks access, rising up stress and indiscipline. The target group of this study has been a class of 8th grade on an elementary public school in João Pessoa. The investigation process was performed in two steps. The first one, ethnographic featured, enabled us to understand the reasons for which students take cell phone use in classroom, what they think about the ban and which texts are usually used in their interactions on social networks. The second one, an action research, was conducted through the effort of a multiliteracy project, admitting and discussing the linguistic knowledge, based on students’ skills with mobile applications as a start point to improve reading / writing multimediatic texts. Therefore we have made use of the contributions of Lévy (1999), Santaella (2004, 2007, 2009), Guidelines for Mobile Learning UNESCO (2014), ROJO (2009, 2012, 2013), and others. Results indicate that it is essential to shelter social practices diversity on reading and writing, as well as to cultural property produced by contemporary society, which includes mobiles as hybrid, multifunctional and at the same time global connection channel device, through which occur so many languages and cultures. School's role is to develop with students reading and writing skills that will let them be able to assume an ethical and democratic position in contemporary society.