Investigação histórica na formação de professores de matemática: um estudo centrado no conceito de função

In this study we analyzed the development of a teaching experience, involving students with a bachelor s degree in mathematics from UFRN, based on the history of mathematics and mathematical investigations with the aim of contributing to the improvement of the teaching-learning of mathematics. The historical investigation tasks were planned and applied in the classroom, focusing on functional thought. The results obtained during the experience were described and evaluated based on authors who support the assumption of investigation and history as an alternative to the learning of mathematics. We emphasize that the material of analysis consisted of a work diary, audio recordings, questionnaires with testimony of the students involved, and, in addition, the assessment of the teacher of that subject. With regard to the mathematical content, the study was restricted to the concept of function, forms of representation and notation. It was evident that students showed great improvement with regard to the necessary formalization of the mathematical contents which were focused on, and to the active involvement of the students at different stages of the study. We can affirm that the completed study certainly represents significant contributions to an approach in the teaching-learning of functional thought

Uma abordagem histórica para o ensino do princípio da inércia

Placed in the field of Didactic of Science, this paper proposes an approach to the introduction of the History of Science in science education, at high school level. It was designed and implemented a series of activities regarding the history of the Principle of Inertia. The aim of this approach was to give more meaning to scientific education, while opening new avenues for a better understanding of the processes of construction of scientific knowledge. The preparation of the activities involved a study of the historical development of the concept of motion, from the Aristotelian physics through physical movement concepts at medieval period, from Galileo, Gassendi, Descartes, until the first law of Newton. The strategy of teaching was applied to three classes of high school (night period) of a state public school at the city of Natal (RN). The results indicated the difficulty of overcoming alternative conceptions about movement by students. Nevertheless, we consider that the implementation of this strategy of teaching both represented gains for the learning of students, and contributed to the resizing of pedagogical practices of the teacher-researcher

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

Elaboração e aplicação de uma sequência de atividades para o ensino da trigonometria numa abordagem histórica

The present work aims to report the construction of a workbook for teaching trigonometry focusing the possible mix between the historical approach to the teaching of mathematics and the professional master´s degree. For this, considerations about the history of mathematics as a teaching methodology, the education of the math teacher who will teach trigonometry and also about the course of elaboration and experimentation of the activities in the workbook were made (using the methodological strategy of action research). Finally, the workbook for the teaching of trigonometry in a historical approach is presented as an example of the above mentioned mix between the history of mathematics, mathematical school content and the professional master´s degree

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

Atividades estruturais de equações polinomiais numa abordagem histórica por meio de e-book

The present study investigates how the inter-relationship of the content of polynomial equations works with structured activities and with the history of mathematics through a sequence of activities presented in an e-book, so that the result of this research will proceed will result in a didactic and pedagogic proposal for the teaching of polynomial equations in a historical approach via the reported e-book. Therefore, we have considered in theoretical and methodological assumptions of the History of Mathematics, in structured activities and new technologies with an emphasis on e-book tool. We used as a methodological approach the qualitative research, as our research object adjusts to the objectives of this research mode. As methodological instruments, we used the e-book as a synthesis tool of the sequence of activities to be evaluated, while the questionnaires, semi-structured interviews and participant observation were designed to register and analyze the evaluation made by the research, participants in the structured activities. The processing and analysis of data collected though the questionnaires were organized, classified and quantified in summary tables to facilitate visualization, interpretation, understanding, and analysis of these data. As for participant observation was used to contribute to the qualitative analysis of the quantified data. The interviews were synthetically transcribed and qualitatively analyzed. The analysis ratified our research objectives and contributed to improve, approve and indicate the use of e-book for the teaching of polynomial equations. Thus, we consider that this educational product will bring significant contributions to the teaching of mathematical content, in Basic Education

O silenciamento no texto jornalístico e a construção social da realidade

This research analyses the silencehood use by the A República journal (Natal/RN), today not being distributed, during the Second World War. Its objective is to unveil the production condition of the news texts, and it was observed that the use of silencehood as a speech strategy with its implications that falls upon the way of behaving and thinking of the society, all that time, influencing the reader in the construction of his image of the reality. During the coverage of the conflict by the local journal it was possible to also observe different speech marks that represented the change in attitude of the Brazilian Government, responsible for the control of what was spread as news. The country lived the dictatorship of the New State and as the war went on the government changed its speech, according to political, social and economical interest s thoughts being played, silencing themes in the name of the national security. We admit as research material journalistic texts that refer to the main facts that occurred during the six years of the world conflict and that is why we used as theoric-metodological support the Speech Analysis

Linguagem, cognição e mundo: o livro do desassossego e a construção discursiva da realidade

This study analyzes the processes of meaning construction in the Livro do Desassossego, by semi-heteronym Bernardo Soares - Fernando Pessoa. We use theoretical grounds from an interface between Cognitive Linguistics and Textual Linguistics to observe how certain linguistic mechanisms build a reality that tells us of a time, a being and his conceptions of language and writing. We focus on description and explanation of procedures of categorization and referentiation accomplished, for example, through metaphor and metonymy. For the construction of the intended theoretical interface, we use analytical categories proposed and developed by the Socio-cognitive Approach of Language, Conceptual Metaphor Theory and Mental Space Theory. Armed with this theoretical background, we observed the dynamics of language in relation to its social, cultural and historical features, as well as the cognitive aspects that underlie it. We seek, therefore, encourage discussions about the functioning of language considering primarily the creative processes that allow us to organize and shape our experiences. We also try to provide an approximation of Linguistics, Literature and Philosophy, with a view to relations between language structure, cognitive activity and socio-cultural organization. From the results obtained, we found that a literary text attests, with a particular property, the mutual relations between language, cognition and culture, as indicates cognitive approach to language studies

0 retrato e a moldura : memória e oralidade em cada homem é uma raça

En este trabajo se ha realizado un análisis de cuatro cuentos de Mia Couto (2005) pertenecientes al libro Cada homem é uma raça: O embondeiro que sonhava pássaros ; A princesa russa ; O pescador cego y A lenda da noiva e do forasteiro . El estudio, bajo la perspectiva de memoria y oralidad, mantiene en foco la observación sobre la transformación de los componentes de la realidad sociocultural e histórica de Mozambique en elementos de ficción literaria. Ese recorrido esclarece, en parte, la unidad orgánica que constituye la obra y que gira en torno de los elementos de la tradición, la memoria y la oralidad. Este punto es un importante marcador de diferencias, pues las sociedades escritas han dado menos importancia a lo que es transmitido oralmente, dejando lo que es tradición en un segundo plano. Se trata de una comprensión que acabó por provocar la distorsión del pensamiento sobre lo que es tradición oral, algo que no se resume a leyendas, cuentos de hadas, folclores y danzas. De esta manera ha de considerarse a la memoria inscripta en cada símbolo como algo que justifica al ser y que lo identifica como individuo poseedor de una historia colectiva

O império do desentendimento humano: representações da realidade em textos de dalton trevisan

This work has the general proposal of studying the composition of the trevisanian fictional universe, the aesthetic expression engineered to formulate this universe, and last, the representations of reality that emanates from this aesthetic-narrative construction. It seemed to us, however, that it would be impossible to cover, even superficially, so vast and voluminous set of texts as the trevisanian. Therefore, so that we could accomplish this task, and still do it in a way that was, at the same time, plausible and thorough, it was necessary an objective cut within that library. Then we selected a book, representative of the whole trevisanian work, which served as the object of study: Cemitério de Elefantes, 1964, one of the first books of short stories by this author. Within this one, we focused even more our sight, then moving towards what we call a reality forked in paralytic world and world in violence . Supported by the theories and methodologies of Auerbach (2011), Candido (2002, 2006), Adorno (2003), Gennete (1995), Friedman (2002), and still moved by the spirit of Russian Formalism (1973), we built our criticism. Our approach was based then in three steps: first we are dedicated to comment the general context of the trevisanian work, supported strongly by reading two of the biggest critics of his literature, Miguel Sanches Neto and Berta Waldman, secondly, we turn us to comment on the detailed formal construction of language and narrative elements of the trevisanian prose; finally we raised our criticism to the level of reading representations of reality, and then we started to comment the construction of the trevisanian fictional universe, focusing in splitting this universe in paralytic world and world in violence

A argumentação como elemento discursivo na mídia digital: um estudo sobre o blog fatos e dados

This thesis studies the use of argumentation as a discursive element in digital media, particularly blogs. We analyzed the Blog "Fatos e Dados" [Facts and Data], created by Petrobras in the context of allegations of corruption that culminated in the installation of a Parliamentary Commission of Inquiry to investigate the company within the Congress. We intend to understand the influence that the discursive elements triggered by argumentation exercise in blogs and about themes scheduling. To this end, we work with notions of argumentation in dialogue with questions of language and discourse from the work of Charaudeau (2006), Citelli (2007), Perelman & Olbrechts-Tyteca (2005), Foucault (2007, 2008a), Bakhtin (2006) and Breton (2003). We also observe our subject from the perspective of social representations, where we seek to clarify concepts such as public image and the use of representations as argumentative elements, considering the work of Moscovici (2007). We also consider reflections about hypertext and the context of cyberculture, with authors such as Levy (1993, 1999, 2003), Castells (2003) and Chartier (1999 and 2002), and issues of discourse analysis, especially in Orlandi (1988, 1989, 1996 and 2001), as well as Foucault (2008b). We analyzed 118 posts published in the first 30 days of existence of the blog "Fatos e Dados" (between 2 June and 1 July 2009), and analyzed in detail the top ten. A corporate blog aims to defend the points of view and public image of the organization, and, therefore, uses elements of social representations to build their arguments. It goes beyond the blog, as the main news criteria, including the posts we reviewed, the credibility of Petrobras as the source of information. In the posts analyzed, the news values of innovation and relevance also arise. The controversy between the Blog and the press resulted from an inadequacy and lack of preparation of media to deal with a corporate blog that was able to explore the characteristics of liberation of the emission pole in cyberculture. The Blog is a discursive manifestation in a concrete historical situation, whose understanding and attribution of meaning takes place from the social relations between subjects that, most of the time, place themselves in discursive and ideological dispute between each other - this dispute also affects the movements of reading and reading production. We conclude that intersubjective relationships that occur in blogs change, in the form of argumentative techniques used, the notions of news criteria, interfering with scheduling of news and organization of information in digital media outlets. It is also clear the influence that the discursive elements triggered by argumentation exercise in digital media, trying to resize and reframe frames of reality conveyed by it in relation to the subject-readers. Blogs have become part of the scenario information with the emergence of the Internet and are able to interfere in a more effective way to organize the scheduling of media from the conscious utilization of argumentative elements in their posts

Folhetos de cordel entre realidade e ficção cotidiana: um estudo da mídia na construção do personagem Seu Lunga

In this work, from the case of Mr. Lunga, a character of the brazilian northeastern culture whose stories circulated orally until they turned into verses of cordel (regional literature illustrated by xylographic printing images), we intend to understand that gender of leaflet, as significant cultural product, like media, with specific language features that act as means of construction and transmission of realities. To understand this phenomenon of meaning production in the cordel media, we used hermeneutics as a method and applied the general theory of interpretation in six chosen leaflets. We worked with a constructivist perspective that grounds the discussion of everyday reality and fiction, concepts that are raised around the essence of the character that is real, but it is also part of the creative activities of poets, how both are interrelated and constitute the understanding that individuals have the real. From the analyzes, we realize that each poet presents the fields of significance of Mr. Lunga in a different way, based on subjectivity, intention and mediations between each of them and the discourses they produce. Each cordelist contributes in his own way of significance for the construction of the imaginary Mr. Lunga. The speech of the cordelists contains a number of elements that aim to legitimize as truth the actions described. In this confrontation, our goal in this work is to understand the construction of the fields of signification, where these discourses are located, the production of meaning around a character who is not in a finite field, but transits through many of them, making the boundaries between reality and fiction dynamic

O processo de constituição histórica das diretrizes curriculares na formação de professores de Educação Física

Os processos históricos que permeiam as diretrizes curriculares possibilitaram enxergar quais são as idéias e as preocupações para com a formação de professores no âmbito da Educação Física. Dentro desse contexto, o objetivo foi averiguar, nas políticas públicas de formação de professor dessa disciplina, como ocorreu o processo de qualificação e certificação, buscando entender as justificativas que orientaram a regulamentação dos normativos legais de 1939 a 2004. Portanto, trata-se de um estudo descritivo, de análise qualitativa, tendo como fonte primária as Diretrizes Curriculares veiculada pela imprensa oficial. As novas Diretrizes Curriculares (Resoluções CNE/CP 01/2002, 02/2002 e 7/2004) apontaram perspectivas na formação de um professor mais qualificado para o seu campo de atuação, priorizando a questão da dimensão política da profissão, das competências e do corpo de conhecimento da área. Embora haja progressos em relação aos normativos anteriores, chama-se atenção para a necessidade de que as propostas em construção façam a mediação entre a proposta atual, o percurso histórico do próprio curso e a relação teoria-prática, visando o equilíbrio na formação. A proposta das novas diretrizes não deixa de evidenciar avanços significativos no horizonte da profissionalidade docente e da identidade profissional docente. da mesma forma, para o leitor ou estudioso atento, não deixa de causar preocupação o excesso de competências técnicas colocadas, passando-se a impressão de que agora o que vale é o primado do saber fazer.

Desempenho motor de pacientes com acidente vascular cerebral em um jogo baseado em realidade virtual

The Cerebral Vascular Accident (CVA) is the leading cause of motor disability in adults and elderly and that is why it still needs effective interventions that contribute to motor recovery. Objective: This study was aimed to evaluate the performance of stroke patients in chronic stage using a virtual reality game. Method: 20 patients (10 with injury to the left and 10 to the right side), right-handed, average age 50.6 ± 9.2 years, and 20 healthy subjects with average age of 50.9 ± 8.8, also right-handed participated. The patients had a motor (Fugl-Meyer) and muscle tone assessment (Ashworth). All participants made a kinematic evaluation of the drinking water activity and then underwent training with the table tennis game on XBOX 360 Kinect®, 2 sets of 10 attempts for 45 seconds, 15 minutes rest between sets, giving a total of 30 minutes session. After training the subjects underwent another kinematic evaluation. The patients trained with the right and left hemiparect upper limb and the healthy ones with the right and left upper limb. Data were analyzed by ANOVA, t Student test and Pearson correlation. Results: There was significant difference in the number of hits between the patients and healthy groups, in which patients had a lower performance in all the attempts (p = 0.008), this performance was related to a higher level of spasticity (r = - 0.44, p = 0.04) and greater motor impairment (r = 0.59, p = 0.001). After training, patients with left hemiparesis had improved shoulder and elbow angles during the activity of drinking water, approaching the pattern of motion of the left arm of healthy subjects (p < 0.05), especially when returning the glass to the table, and patients with right hemiparesis did not obtain improved pattern of movement (p > 0.05). Conclusion: The stroke patients improved their performance over the game attempts, however, only patients with left hemiparesis were able to increase the angle of the shoulder and elbow during the functional activity execution, better responding to virtual reality game, which should be taken into consideration in motor rehabilitation

Realidade virtual na atividade cerebral: um estudo comparativo entre estados emocionais de adultos jovens e idosos

The association of Virtual Reality (VR) to clinical practice has become common in the recent years, showing to be an additional tool on health care, especially for elderly. Its use has been related to higher therapeutic adhesion levels and well being sensation. Such emotional based aspects are often observed by subjective tools of relative validity. This study analyzed the immediate effects of varied VR contexts balance training over emotional behavior, which was observed under peaks of maximum expression of EEG waves. Methodology: 40 individuals, divided in two groups, both gender, 20 young and 20 elderly, were submitted to a 60 minutes intervention, including balance training under VR. The first 25 minutes referred to initial evaluation, general orientation and cognitive assessment by the use of Mini Mental. The next ten minutes were designated to the avatar creation and tutorial video presentation. Through the following 20 minutes, the individuals from both groups were exposed to the exact same sequence of games under virtual contexts, while submitted to electroencephalography by Emotiv EPOC® focusing Adhesion, Frustration and Meditation states. The virtual interface was provided by the Nintendo® game, Wii Fit Plus, with the scenarios Balance Bubble (1), Penguin (2), Soccer (3), Tight Rope (4) and Table Tilt (5). Finally, a questionnaire of personal impressions was applied on the 5 minutes left. Results: data collected showed 64,7% of individuals from both groups presented higher concentration of adhesion peaks on Balance Bubble game. Both groups also presented similar behavior regarding meditation state, with marks close to 40%, each, on the same game, Table Tilt. There was divergence related to the frustration state, being the maximum concentration for the young group on the Soccer game (29,3%), whilst the elderly group referred highest marks to Tight Rope game (35,2%). Conclusion: Findings suggest virtual contexts can be favorable to adhesion and meditation emotional patterns induction, regardless age and for both sexes, whilst frustration seems to be more related to cognitive motor affordance, likely to be influenced by age. This information is relevant and contributes to the orientation for the best choice of games applied in clinical practice, as for other studies regarding this topic