Uma reavaliação do pensamento lógico de George Boole à luz da história da matemática

The aim of the present study is to reevaluate the logical thought of the English mathematician George Boole (1815 - 1864). Thus, our research centers on the mathematical analysis of logic in the context of the history of mathematics. In order to do so, we present various biographical considerations about Boole in the light of events that happened in the 19th century and their consequences for mathematical production. We briefly describe Boole's innovations in the areas of differential equations and invariant theory and undertake an analysis of Boole's logic, especially as formulated in the book The Mathematical Analysis of Logic, comparing it not only with the traditional Aristotelian logic, but also with modern symbolic logic. We conclude that Boole, as he intended, expanded logic both in terms of its content and also in terms of its methods and formal elaboration. We further conclude that his purpose was the mathematical modeling of deductive reasoning, which led him to present an innovative formalism for logic and, because the different ways it can be interpreted, a new conception of mathematics

Ensino de matemática, história da matemática e artefatos: Possibilidade de interligar saberes em cursos de formação de professores da Educação Infantil e anos iniciais do Ensino Fundamental.

This work is located at the shield of research that defends the use of Mathematics History, based on the utilization of historical artifacts at teaching activities, at Mathematics classrooms, and at graduation courses for teachers of Elementary School and of the first grades of High School. The general objective is to examine the possibility of the use of historical artifacts, at teaching activities, at graduation courses for teachers of Elementary School and of the first grades of High School. Artifact, at this work, is comprehended as objects, documents, monuments, images and other kinds of materials that make sense to the Human actions at the past and that represent what have been said and done at the Human history. At the construction of the theoretical-methodological way of the research we have based ourselves upon the ideas of the authors that are engaged at the teachers formation; at researchers adherents to the use of Mathematics History (MH) as a methodological resource, and at studies accomplished that elucidate the role of the artifacts at the history and as a mediatory element of learning. We defend the thesis that the utilization of historical artifacts at teaching activities enables the increasing of the knowledge, the development of competencies and essential abilities to the teacher acting, as well as interact at different areas of the knowledge, that provides a conception of formation where the teacher improves his learning, learning-doing and learning-being. We have adopted a qualitative research approach with a theoretical and pratic study disposition about the elements that contribute to the teachers works at the classroom, emphasizing the role of the Mathematics history at the teacher s formation and as a pedagogical resource at the mathematics classroom; the knowledge, the competencies and abilities of the historical artifacts as an integrative link between the different areas of the knowledge. As result, we emphasize that the proposition of using the MH, through learning activities, at the course of teacher graduation is relevant, because it allows the investigation of ideas that originate the knowledge generated at every social context, considering the contribution of the social and cultural, political and economical aspects at this construction, making easy the dialog among the areas and inside of each one The historical artifact represents a research source that can be deciphered, comprehended, questioned, extracting from it information about knowledge of the past, trace and vestiges of the culture when it was created, consisting of a testimony of a period. These aspects grant to it consideration to be explored as a mediatory element of the learning. The artifacts incorporated at teaching activities of the graduation courses for teachers promote changes on the view about the Mathematics teaching, in view of to privilege the active participation of the student at the construction of his knowledge, at the reflection about the action that has been accomplished, promoting stimulus so the teachers can create their own artifacts, and offer, either, traces linking the Mathematics with others knowledge areas.

Possibilidades de exploração da história da ciência na formação do professor de matemática: mobilizando saberes a partir da obra de Nicolau Copérnico de revolutionibus orbium coelestium

This study aims to analyze the implications that the knowledge of an important work for the History of Science, De revolutionibus orbium coelestium , by Nicholas Copernicus, can bring for the formation of Mathematics professors. The study focuses on Book I of Copernicus s work, where, in the final part, is found the Table of the Subtense Straight Lines in a Circle, a true sine table constructed by the author. The study considers two theoretical references, the History of Science and of Mathematics, in the professor s formation searched amongst others in Miguel and Miorm, Brito, Neves and Martins, and Radford, and the necessary teaching knowledge professors mst have, on the basis of Gauthier, Schulman and Imbernón amongst others, through which it is established a net of knowledge grouped in dimensions such as mathematical, psycho pedagogical, cultural and practical diversity, that guide the study analysis. In the search for more necessary elements to enrich the analysis, beyond the theoretical research in Book I, it is carried through, with under graduation pupils, future Math professors, the construction of a sine table following the project used in De revolutionibus . The study still makes a description of the life and work of Nicholas Copernicus, detaching the historical context where the author lived and the conceptions about the Universe existing at that time. The research reveals that the studied work is an important source of culture, able to provide to the Mathematics professor in formation, beyond the conceptual and procedural mathematical knowledge, a cultural knowledge that allows him to be opened to the knowledge of other areas that not his specific area, and so to acquire knowledge about the world history, the development of sciences and of the society

História das mulheres idosas do Grupo Aurora da Vida Campina Grande-PB (1940-1950)

La recherche intitulée l Histoire des femmes agées du group Aurore de La Vie: Campina Grande-PB (1940-1950) a surgit comme consequence de mon observation sur les interêts de femmes en retrouner à l école aprés qu elles étaient arrivées aux soixante ans, um moment de la vie que malgré son importance est encore considerée par trop de gens comme des moments d être seul jusqu à la fin de la vie. Alors, nous avons formulé la question la plus importante de ce travail: Quel est l histoire de l éducation des femmes agées du group Aurore de La Vie, dans le période de son education d enfant? Un group de 25 femmes qui ont étudié le projet Digna, on a fait une seletion de treize agées, entre 65 et 80 ans, qui s appellent: Perpétua, Florinda, Benta, Ambrósia, Celestine, Cordélia, Circe, Filomena, Desdêmona, Dorotéia, Ofelia, Martítius e Nausica. Beaucoup d intelectuels nous ont aidé avec la base theórico-methodologique et nous ont presenté l histoire des excludées comment une histoire en construction. Parmis ces intelectuelles on rencontre Chartier, Halbwachs, Elias, Perrot, Bosi, Bezerra, Morais et Machado. Pendant notre recherche nous avons employés des narrations, des entrevues, des questions ouvertes ou les femmes puissent parler sur l histoire de leur vie. Nous avons regardé aussi le fiche des agées, le arquive de La Secretarie Municipale de Assistence Social (SEMAS) du Hôtel de Ville de Campina Grande-PB. Nous avons aussi étudié sur la legislation relié à la tematique de la Constituition Brésilienne dans l estatute et dans la Politique Nacional de l age. Notre étude nous a donné des analises sur les themas: pauvresse, travail, sourvenirs, jeux e aussi punitions scolaires. Nous sommes arrivés à la conclusion qu à l époque de son enfance, l éducation formale était déjá determinée pour le mariage, la pró-création la famille. Enfim toujours dédans de la maison excludées du reste du monde. Nous avons compris que pesquiser cet object d étude est un contribut avec l histoire des excludées en cassant le silence des femmes lesqueles on été ignorées par presque toute la prodution historiographique

Vivências compartilhadas de filhos separados pela hanseníase no RN a luz da história oral de vida

Several epidemics marked the lives of individuals and communities in all historical periods, and a prime example is leprosy, infectious disease marked by stigma, prejudice and social exclusion. In the past, the compulsory isolation of patients with leprosy caused serious social and psychological problems, resulting in the separation and the partial or total disruption of the family relationship. Children deprived of this living, removed often inhumanely, were kept and bred in preventoriums / educational establishments. This study aimed to: rescue the oral history of life of the children of leprosy patients that were built in preventorium Osvaldo Cruz, Natal, Rio Grande do Norte; develop a contextual analysis about these children; know the life trajectory of children of leprosy patients institutionalized in preventoriums / educational establishments; produce a documentary on the history of life of children of parents separated by leprosy; forming MORHAN of Rio Grande do Norte state; and implement the I Meeting of MORHAN of Rio Grande do Norte state. This is an exploratory and descriptive study, with a qualitative approach, approved by the ERC No. 024/024/2012 Liga Norteriograndense Contra o Câncer. We used the contributions of the method and technique of oral history of life as methodological reference. We interviewed 10 individuals egress from preventorium Osvaldo Cruz in Natal/RN, sons of former patients proven to be residents in the city, of both sexes, older than 18, with cognitive, intellectual and emotional conditions preserved. The analysis of the histories obtained from collaborators was performed in the light of Thematic Content Analysis. The results and discussions are presented through two articles which meet the proposed objectives. The first, called Contextual Analysis on the children of leprosy patients in preventoriums aimed to record the phenomenon of children of leprosy patients in preventorium through four contextual levels, which identified the need to broaden the debate on public policy in the field of leprosy as a way to enable more effective measures to propagate in the search for harm reduction and direct consequences resulting from stigma and marginalization around patients and their healthy children, egress from preventoriums. The second, Leprosy and the denial of history: the story of separated children , aimed to know the life trajectory of children of leprosy patients who were institutionalized in preventoriums / educational establishments. In this article, we discuss the research question through the establishment of three main themes: 1. Losses and damages: disintegration and reintegration into the family and denied childhood; 2. Unforgettable: remarkable things you do not forget; and 3. Expectancy in living new situations: in search of other paths and destinations. These thematic axis highlighted the negative implications for the lives of the subjects, arising from the separation of their parents, leprosy patients at the time of compulsory isolation; however, has also been shown that this separation was not decisive in their life histories, once they have succeeded in providing a new sense of these experiences and lead their lives with dignity and fortitude. It was concluded that these children demonstrated resilience as form of defense and fighting stigma and prejudice, being able to reinvent themselves and build new paths and destinations

A instrução paulista à época da Guerra do Paraguai (1864-1870)

This study aimed to analyze the Paraguayan War's impact on public education in the province of São Paulo in the period that lasted the conflict (1864-1870). Between 1864 and 1870 the area now known as South America experienced its greatest armed conflict. Brazil, Argentina and Uruguay declared war against Paraguay. Brazilian governors began to conceive the Empire as superior to the Paraguayan nation, which for them, was a non-civilized country. They understood that to maintain civilization and follow the progress, they needed to develop their education. The Empire mobilized men of any part of its territory. Some left for the war voluntarily and others were forced. Along that current War, the recruitment had become increasingly difficult, leading entire families moving, teachers and students to leave the school and the city. The paulistas teachers have been turning to the patriotic past of the province in which he was proclaimed the independence of the Empire. Civilization and progress, present at the leaders speeches were reflected in the São Paulo social practices that culminate in the notion of patriotism, also reflected in the education of children and youth of the period.

Trajetória de pessoas com AIDS em situação de vulnerabilidade social: à luz da história oral de vida

The epidemic caused by HIV presents a global, dynamic and unstable phenomenon, which depends on the individual and collective human behavior. Efforts to deconstruct the stigmatized image caused by infection of AIDS are still often associated with adoption of socially unacceptable behavior to be a circumscribed the susceptibilities of vulnerable individuals and communities to infection, illness and death by HIV. This study aimed to: narrate the trajectory of life of people with AIDS more vulnerable enrolled in the Municipal Social Assistance Parnamirim / RN. It is a study of qualitative, exploratory and descriptive approach, taking oral history of life as technical and methodological framework. The colony consisted of 186 people with AIDS. The network was comprised of 13 employees of both sexes, aged between 19 and 62 years old with positive diagnosis and agreed to voluntarily participate. After approval by the Ethics Committee of the Federal University of Rio Grande do Norte (CEP / UFRN), in the opinion No. 719,926 CAAE: 30408114.5.0000.5537 on 6 June 2014 data were collected from August to September 2014. The employees signed the Informed Consent and Informed and letter of assignment. Held transcribing the interviews and later returned to respondents to retest, ie so that they confer what allowed us to carry out transcreation after consecutive readings. The reports were analyzed through Bardin content analysis. Guiding the analysis of the accounts of employees, we find three themes: Prejudice and discrimination in living with AIDS; Reacting to the diagnosis and the accession process to antiretroviral treatment; and religious coping in people with AIDS. It can be concluded in this study, that employees have shown great emotional impact after positive diagnosis for HIV / AIDS, especially with regard to social life, the family ties, work and above all to the prejudice of society. Treatment with antiretroviral drugs was seen as a motivation to regain dreams and plans for a future once uncertain, and even if it is not a cure therapy, provided the employees improved quality of life.

Trajetória de pessoas com AIDS em situação de vulnerabilidade social: à luz da história oral de vida

The epidemic caused by HIV presents a global, dynamic and unstable phenomenon, which depends on the individual and collective human behavior. Efforts to deconstruct the stigmatized image caused by infection of AIDS are still often associated with adoption of socially unacceptable behavior to be a circumscribed the susceptibilities of vulnerable individuals and communities to infection, illness and death by HIV. This study aimed to: narrate the trajectory of life of people with AIDS more vulnerable enrolled in the Municipal Social Assistance Parnamirim / RN. It is a study of qualitative, exploratory and descriptive approach, taking oral history of life as technical and methodological framework. The colony consisted of 186 people with AIDS. The network was comprised of 13 employees of both sexes, aged between 19 and 62 years old with positive diagnosis and agreed to voluntarily participate. After approval by the Ethics Committee of the Federal University of Rio Grande do Norte (CEP / UFRN), in the opinion No. 719,926 CAAE: 30408114.5.0000.5537 on 6 June 2014 data were collected from August to September 2014. The employees signed the Informed Consent and Informed and letter of assignment. Held transcribing the interviews and later returned to respondents to retest, ie so that they confer what allowed us to carry out transcreation after consecutive readings. The reports were analyzed through Bardin content analysis. Guiding the analysis of the accounts of employees, we find three themes: Prejudice and discrimination in living with AIDS; Reacting to the diagnosis and the accession process to antiretroviral treatment; and religious coping in people with AIDS. It can be concluded in this study, that employees have shown great emotional impact after positive diagnosis for HIV / AIDS, especially with regard to social life, the family ties, work and above all to the prejudice of society. Treatment with antiretroviral drugs was seen as a motivation to regain dreams and plans for a future once uncertain, and even if it is not a cure therapy, provided the employees improved quality of life.