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 investigação histórica sobre os logaritmos com sugestões didáticas para a sala de aula

This study was conducted from a preliminary research to identify the conceptual and didactic approach to the logarithms given in the main textbooks adopted by the Mathematics teachers in state schools in the School of Natal, in Rio Grande do Norte. I carried out an historical investigation of the logarithms in order to reorient the math teacher to improve its educational approach this subject in the classroom. Based on the research approach I adopted a model of the log based on three concepts: the arithmetic, the geometric and algebraic-functional. The main objective of this work is to redirect the teacher for a broad and significant understanding of the content in order to overcome their difficulties in the classroom and thus realize an education that can reach the students learning. The investigative study indicated the possibility of addressing the logarithms in the classroom so transversalizante and interdisciplinary. In this regard, I point to some practical applications of this matter are fundamental in the study of natural phenomena as earthquakes, population growth, among others. These practical applications are connected, approximately, Basic Problematization Units (BPUs) to be used in the classroom. In closing, I offer some activities that helped teachers to understand and clarify the meaningful study of this topic in their teaching practice

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

História da ciência como estratégia didática no ensino médio: um breve olhar de conteúdos da óptica

From a critique of aspects of the current teaching of physics, we propose in this paper an investigation into the conceptions of Nature of Science (NOS) submitted by students from the high school level, as well as the inclusion of discussions about some elements of NOS, through the History and Philosophy of Science, understanding them as facilitating strategy for more effective learning of Physics and, more specifically, the contents of optics. Based on the historical period corresponding to Greek antiquity to the mid-nineteenth century, built and applied a teaching unit to a high school class at the Federal Institute of Education, Science and Technology of Rio Grande do Norte (IFRN) Ipanguaçu campus. Our teaching unit involved the reading and interpretation of texts with historical content, observation and assembling five experimental activities, among other activities. Data analysis occurred through questionnaires investigative applied before and after the completion of the teaching unit, as well as questionnaires for content present in the texts. Although not significant, the results indicated that the application of the teaching unit allowed the (re) construction of some conceptions about NOS targets students present in our work, and contribute to a better learning content and greater optical science approach and its nature

Geometrias não-eucludianas como anomalias: implicações para o ensino de geometria e medidas

This present research the aim to show to the reader the Geometry non-Euclidean while anomaly indicating the pedagogical implications and then propose a sequence of activities, divided into three blocks which show the relationship of Euclidean geometry with non-Euclidean, taking the Euclidean with respect to analysis of the anomaly in non-Euclidean. PPGECNM is tied to the line of research of History, Philosophy and Sociology of Science in the Teaching of Natural Sciences and Mathematics. Treat so on Euclid of Alexandria, his most famous work The Elements and moreover, emphasize the Fifth Postulate of Euclid, particularly the difficulties (which lasted several centuries) that mathematicians have to understand him. Until the eighteenth century, three mathematicians: Lobachevsky (1793 - 1856), Bolyai (1775 - 1856) and Gauss (1777-1855) was convinced that this axiom was correct and that there was another geometry (anomalous) as consistent as the Euclid, but that did not adapt into their parameters. It is attributed to the emergence of these three non-Euclidean geometry. For the course methodology we started with some bibliographical definitions about anomalies, after we ve featured so that our definition are better understood by the readers and then only deal geometries non-Euclidean (Hyperbolic Geometry, Spherical Geometry and Taxicab Geometry) confronting them with the Euclidean to analyze the anomalies existing in non-Euclidean geometries and observe its importance to the teaching. After this characterization follows the empirical part of the proposal which consisted the application of three blocks of activities in search of pedagogical implications of anomaly. The first on parallel lines, the second on study of triangles and the third on the shortest distance between two points. These blocks offer a work with basic elements of geometry from a historical and investigative study of geometries non-Euclidean while anomaly so the concept is understood along with it s properties without necessarily be linked to the image of the geometric elements and thus expanding or adapting to other references. For example, the block applied on the second day of activities that provides extend the result of the sum of the internal angles of any triangle, to realize that is not always 180° (only when Euclid is a reference that this conclusion can be drawn)

Pré-fabricados lingüísticos: estrutura e funcionamento de sintagmas verbais idiomatizados - por uma abordagem cognitivo-funcional em sala de aula

This work aims at under the cognitive-functional perspective describing, inside the vast domain of the linguistic prefabs, the structure and the functioning of the Idiomatic Verb Phrases (SVIs), produced by speakers of the Portuguese from Brazil, located in Natal (RN). From the functionalist presupposition that the language is used essentially to assist to communicative demands, it is observed that its morphologic-syntactic structure is conditioned to the inherent pragmatic vicissitudes to the verbal interaction of subjects, socially heterogeneous and historically established. It is focalized, in the composition of SVIs, the relationships VT + OD (transitive verb + direct object), characterizing the syntactic-semantic nature of the verb and of the respective verbal complement. Those verb combinations + complement can be interpreted as lexical structures, reflexes of the idiomaticity inherent to conventional constructions already systematized in the users' of the language cultural repertoire. It is sought, still, to glimpse the cognitive and discursive motivations pertinent to that linguistic phenomenon. In the investigative process, are analyzed exclusive data of speech collected in Corpus Discurso & Gramática a lingua falada e escrita na cidade do Natal, organized by Furtado da Cunha (1998). The adopted methodological procedures configure as methods of empiric analysis and use of the intuition, being emphasized the qualitative approach (explanatory) of the data with quantitative support of statistical indicators. It shows, finally, a grating of didactic suggestions on SVIs, for Portuguese's classes, as subsidies to the educational practice in the Medium Teaching and in the course of Letters.

Memórias midiatizadas: percepções sobre ciência reconfiguradas a partir do consumo midiático

This piece focuses on the issue of media in the contemporary context, taking for its object the sociocultural phenomenon of mediatization‟, understood as the dilution of media culture in the everyday life, according to the perspective from Fausto Neto (2008) e Sodré (2002). This phenomenon is viewed from the angle of reception, that is, one that considers the individuals as pro-actives in this dynamic. The media culture is perceived as a fundamental element in the process of social structuring, and also is taken as a symbolic arm of great importance for the elaboration of the notion of reality as it interferes with the flow of information. Thus, we emphasize the process of symbolic consumption that we do with media content (Canclini, 1999), through a dynamic of appropriation and reframing, given from the interweaving of the meanings proposed with extra-media elements, recaptured from the perspective of mediations, by Barbero (2006), which concerns the articulation of the contents we appropriate from media with interactions from other social practices. We also consider the dimension of memory according to Sarlo (2007) and Halbwachs (2004) in order to, through speeches made in its scope, reach empirically the phenomenon of mediatization‟, and overlapping it, the media consumption on a specific theme, "science". Nevertheless, in terms of field work, we use the technique of in-depth interviews, so that the speech of our interviewers was our corpus. Through their narratives, speeches considered by us as memory-related, we visualize the dynamics of media consumption on given topic. At the level of conclusions, we realize that mediatization‟ as a phenomenon occurred, but its flows and orders showed discontinuities and pluralities not initially conceived; regarding the consumption of science through media, we see hybrid perceptions by our respondents, that is, one that include both elements aligned with the positivist conception of science - which we consider to be the view of science proposed by the media and elements that would contradict this view

A mídia dos outros somos nós: a experiência audiovisual do Ponto de Cultura Cinema para Todos

This research aims to identify the process of appropriation of audio visual (in digital video) for collective symbolic production (participatory video practice that expresses popular culture) in a socio-cultural context where the minorities are. Therefore, we based this study on the students‟ experience of the film and video workshops held by Cinema para Todos (Culture Point Cine for All), in Natal, RN. Culture Point is the basis of the project Programa Nacional de Cultura, Educação e Cidadania Cultura Viva (National Program of Culture, Education and Citizenship - Living Culture) of the Brazilian Ministry of Culture. In 2010, the Cine for All developed three film and video workshops in the state of Rio Grande do Norte (Northeastern of Brazil), in the municipalities of Açu, Lajes and São Gonçalo do Amarante, within a public policy project of socio-cultural inclusion. These three workshops are the focus of this empirical investigation. To support the analysis of this research we consider that the spaces of workshops are sites of the social practices origin, assuming they show the development of the changes of actions that generate new practices. In this socio-cultural context the students as interlocutors process the communicative culture mediation, where come from the logics of action (using digital video) to become a mediatic practice (video auto ethnographic). With the overall goal set and the field of investigative action delimited we considered the methodology of case study suitable for the observation of the object, because it is a phenomenon of modernity, occurring in a context of real life and with little or no control over events. Participant observation and interviews was also applied to this case study. The analytical theoretical support comes from the notion of mediation by Jesús Martín-Barbero and the concept of habitus by Pierre Bourdieu. The research found that a new way of communicating has been developing by this social group, and this reflects the technological change experienced by them. The auto ethnographic videos, short movies, reveal an allegorical trial of the mainstream media, because while they use the mainstream format, they rework the aesthetic, but without revising the history, in fact they proposing to retell the history of themselves full of colorful details and with richness of their forgotten popular culture.

Apropriação de novas mídias por estudantes universitárias

It is an investigation that seeks to reveal, record and analyze the process of appropriation and use of digital media by university students, aged between 40 and 60 years. Interested in studying how changes are perceived in the educational sphere for students Whois have gone through liberal/traditional school, ie, effected the first contact with technological devices media as adults, in the university. This investigation sought to contribute to the knowledge on the use of new learning strategies imposed by digital media by recording and analyzing the reports surveyed sample. Allowed to know the cultural universe of these women, revealing the context in which receive mediated messages and uses that maré these learning strategies within their daily academic life. Gathered in this work, reflexions guided by studies of media reception and role played by digital media as builders images and facilitators in knowledging acquisitions, it was chosen to work two main theorical notions: communication media and digital inclusion. As the research methodology, it was used the exploratory descriptive technical together with other appropriate tecniques. In ordem to approach the problem can be observed two phases: a quantitative one, which was used an investigative procedure, a survey data with closed questions; and a qualitative phase, which was used to collect data through a diary from situations encountered in the classroom. The main objective of analyzing how digital media are received, appropriated and used by university women has been fulfilled and it is remarkable that they access with dificulty and can not be considered included digitally. The results show that the problem of these agents is not the access, there are was of appropriation of digital media offered at IES, and it was possible to note that they seek to integrate to the technological world, and they even have devices that can insert them on this world. Insertion in cyberculture sets up the ability to find a favorable way to be aware of reality and production of knowledge and liberating and dignifying practices, in this case refers to an appropriation of citizenship through the field of technological devices offered as a perspective that they can interact

Publicidade e moda: um estudo sobre a materialidade da mídia e a produção de sentido na revista ffw>>mag!

The proposal of this research is to analyze the convergence between fashion and communication shown on the materiality of the print media, and how the language from the supporter influences on the production of sense by the target market. Made real in the research corpus comprised of six ffw>>mag! magazines from the year 2011. The applied conceptual mechanism tries to investigate the production of sense from the physical attributes before interpreting the message s content, to do so, the Materiality of Communication is used, which offers an investigative apparatus of the media in its material shape, and those as influences in the communicative acts and processes. Methodologically, we adopt the Peircean Semiotics Theory, for its study focus on the analysis of the possible processes of production of sense. Through Semiotics we achieve the interpretative levels that allow us to clarify the questionings that come from the research s objectives, identifying and tracing the cognitive and intelligibility schemes bound to the media speeches of materiality. The analysis coordinated to the concepts and theories employed in this study point to a confirmation that the materiality of the reviewed media communicates to the readers in the same intensity as its content, provides a preview of the content and notifies the intentions of the publication. In the commercial way, characterizing the target audience it craves, and also in the conceptual way, demonstrating the ideas it wants to communicate. Where the convergence between communication and fashion unfolds as the materiality of the media by the choice of the materials and finishing options, and mainly by the selection and manipulation of technical images and colors from the cycles of fashion

A Single Intraoperative Sub-Tenon's Capsule Injection of Triamcinolone and Ciprofloxacin in a Controlled-Release System for Cataract Surgery

PURPOSE. To compare intraoperative injection of triamcinolone and ciprofloxacin in a controlled-release system (DuoCat) with prednisolone and ciprofloxacin eye drops after cataract surgery.METHODS. In this randomized, double-masked, controlled trial, a total of 135 patients undergoing cataract surgery were randomly allocated to two groups: 67 patients treated after surgery with prednisolone 1% and ciprofloxacin 3% eye drops four times daily (week 1), three times daily (week 2), twice daily (week 3), and once daily (week 4) and 0.3% ciprofloxacin drops four times daily (weeks 1 and 2), and 68 patients treated at the end of surgery with a sub-Tenon's injection of 25 mg triamcinolone and 2 mg ciprofloxacin in biodegradable microspheres. The patients were examined on postoperative days 1, 3, 7, 14, and 28. The main outcome measures were postoperative anterior chamber cell and flare, intraocular pressure (IOP), lack of anti-inflammatory response, and presence of infection.RESULTS. No significant differences were observed between the groups in anterior chamber cell (P > 0.14) and flare (P > 0.02) at any postoperative visits. The mean (99% confidence interval) differences in IOP between the prednisolone and triamcinolone groups on days 1, 3, 7, 14, and 28 were -0.4 mm Hg (-2.1 to 1.3), 0.0 mm Hg (-1.4 to 1.3), 0.0 mm Hg (-1.1 to 1.1), -0.2 mm Hg (-1.1 to 0.8), and -0.1 mm Hg (-1.1 to 0.9), respectively. No patient had a postoperative infection.CONCLUSIONS. One injection of DuoCat had a therapeutic response and ocular tolerance that were equivalent to conventional eye drops in controlling inflammation after cataract surgery. (Clinical-Trials. gov number, NCT00431028.) (Invest Ophthalmol Vis Sci. 2009; 50: 3041-3047) DOI: 10.1167/iovs.08-2920

Controlled transscleral drug delivery formulations to the eye: establishing new concepts and paradigms in ocular anti-inflammatory therapeutics and antibacterial prophylaxis

Importance of the field: The use of topical agents poses unique and challenging hurdles for drug delivery. Topical steroids effectively control ocular inflammation, but are associated with the well-recognized dilemma of patient compliance. Although administration of topical antimicrobials as prophylaxis is acceptable among ophthalmologists, this common practice has no sound evidence base Developing a new antimicrobial agent or delivery strategy with enhanced penetration by considering the anatomical and physiological constraints exerted by the barriers of the eye is not a commonly perceived strategy. Exploiting the permeability of the sclera, subconjunctival routes may offer a promising alternative for enhanced drug delivery and tissue targeting.Area covered in this review: Ocular drug delivery strategies were reviewed for ocular inflammation and infections clinically adopted for newer class of antimicrobials, which use a multipronged approach to limit risks of endophthalmitis.What the reader will gain: The analysis substantiates a new transscleral drug delivery therapeutic approach for cataract surgery.Take home message: A new anti-inflammatory and anti-infective paradigm that frees the patient from the nuisance of topical therapeutics is introduced, opening a large investigative avenue for future improved therapies.

Professores de Street Dance do Estado de São Paulo: formação e saberes

This research of qualitative nature, aimed to analyze the formation and knowledges of the teachers of Street Dance from the State of São Paulo. Reviewing the literarature it was approached the conceptions of culture, "Hip Hop Culture", and Street Dance. Also, some studies referred to the professional formation in dance and Physical Education; acting in dance by the teacher of Physical Education; and professional academic formation and/or experimental. The approaching method was the story of the time at present. The technique: interview semi-structured. According to the analysis of the statements: a) we noticed that no one of the interviewers show academic formation in dance; a small part is graduated in Physical Education, and the majority act as authorized teachers by the CREF and/ or DRT; b) we verified that the teaching of Street Dance is determined by experimental knowledges. The Street Dance shows itself as a process of constitution, and the formation and the knowledges to its teaching did not show systematization.

Mundo de medo: inquisição e cristãos-novos nos espaços coloniais capitanias de Pernambuco, Itamaracá e Paraíba (1593-1595)

Founded in 1536, the Court of the Holy Office of the Portuguese Inquisition was established as an ecclesiastical institution, but at the same time subordinate to the real powers. Among the main victims of persecution effected by the Holy Office, were the New Christians - Jews forcibly converted in 1497 or their descendants - that due to their socio-religious were repeatedly accused of heresy. This paper conducted a survey that sought to understand the historical performance of the Inquisition in Brazil in the sixteenth century on the New Christians, especially those accused of secretly retaining the religious customs of the Mosaic law, given the investigative and punitive procedures employed by the Inquisition as part of a set of actions that produce social insecurities and producers / broadcasters of fear in the populations under scrutiny. In this sense, the approach was based on the analysis of documents produced on the first visit of inspection performed in Brazil inquisitorial sixteenth century, concerning the captaincy of Pernambuco and Paraiba Itamaracá (1593-1595), not excluding, however, the sources of the first stage of visitation that occurred between 1591-1593 in the province of Bahia de Todos os Santos, even though its use is ancillary and punctual. The objective of this research was to understand the consequences of inquisitorial procedures generated on the imaginary, and the Inquisition, using the expressions and signs of fears relating to individuals contained in the New Christian complaints to the Holy Office as documentary evidence of the fear caused by the Holy Tribunal. The adoption of specific behaviors by the New Christians in the home - these spaces are appropriate and adapted to the detriment of the religious practices of Judaism features - characterizes the spatial perspective of the study, thus indicating a further objective of the study: to understand how the New Christians experienced domestic spaces in a historical context marked by behavioral surveillance generally considered morally condemned and suspected of heresy. The research was conducted to analyze the complaints and quantitative survey of some indices of documentation for the understanding of overall charges and how individuals New Christians were concerned with the domestic space, using them to maintain criptojudaica religiosity, transformed places housing often esnogas, makeshift synagogue for meetings and celebrations of Judaizing New Christians. The formulations of Michel de Certeau on appropriations and meanings of space - presented by the author in the metaphor of "practice areas" - were integrated into the workforce in order to understand the ways in which the New Christians appropriated the colonial houses, designed these spaces a very specific language in the Crypto, in which women are prominent figures. The works of Jean Delumeau and Bartholomé Benassar integrate the discussion of the Inquisition and the sensibilities of fear in the work performed. The analysis allowed the documentation to understand the meaning and the extent related to the general fear that the Inquisition represented. Some complaints are indicative of fears that can be perceived implicitly based on behaviors and attitudes adopted by the New Christians, others, however, are direct expressions of fear caused by allusion or initiative of the actions of the Inquisition in colonial Brazil in the sixteenth century

Desventuras de Hypolita: luta contra a escravidão ilegal no sertão (Crato e Exu, século XIX)

This paper analyses the history of Hypolita Maria das Dores, mulatto woman, free born, was enslaved and, by an act of freedom, appealed to court to prove the illegitimacy of her captivity and regain their freedom and their children. The main scenarios of this social and legal struggle are Crato (Ceará) and Exu (Pernambuco), places where she lived in the 19th century. The main objective of this work is to understand how to set the tensions and alliances involving the struggle for freedom inside and outside justice, in differentiated provincial spaces. An approach that belongs to the field of the social history of slavery, we ll prioritize the narrative of life. In it, Hypolita is taken as the subject of her story, as she faces stately and patriarchal values in a slave society. The documentary corpus that allows such vertical investigative consists of parish registers, we examined the baptisms, marriages and death records; analyzed registry documents of postmortem inventories, petitions and crafts; reports of provincial presidents and, finally, the O Araripe s and O Cearense s journalistic information. The investigation of the case allowed the understanding of how, in space and time specific, freedom was understood, usurped and claimed by various social subjects in the frame of morals and justice institutionalized