Submitted by Automa??o e Estat?stica (sst@bczm.ufrn.br) on 2016-08-16T20:44:32Z No. of bitstreams: 1 GesivaldoDosSantosSilva_DISSERT.pdf: 1170482 bytes, checksum: ceff9c2c539f250cc38eea86ffaaf1af (MD5) / Approved for entry into archive by Arlan Eloi Leite Silva (eloihistoriador@yahoo.com.br) on 2016-08-18T23:54:52Z (GMT) No. of bitstreams: 1 GesivaldoDosSantosSilva_DISSERT.pdf: 1170482 bytes, checksum: ceff9c2c539f250cc38eea86ffaaf1af (MD5) / Made available in DSpace on 2016-08-18T23:54:52Z (GMT). No. of bitstreams: 1 GesivaldoDosSantosSilva_DISSERT.pdf: 1170482 bytes, checksum: ceff9c2c539f250cc38eea86ffaaf1af (MD5) Previous issue date: 2016-03-21 / O presente trabalho tem como objetivo apresentar uma proposta de inser??o da Hist?ria da Matem?tica na forma??o de professores. Tal inser??o ? proposta na forma de um componente curricular a ser ministrado em cursos de forma??o inicial de professores de matem?tica. Este estudo ? de cunho investigativo e documental sobre a disciplina hist?ria da matem?tica em cursos de forma??o de professores. A escolha dos conte?dos da proposta tomou como base as Diretrizes Curriculares Nacionais (DCN, 2001) para a Licenciatura e Bacharelado em Matem?tica, Par?metros Curriculares Nacionais para o Ensino Fundamental (PCNEF,1998), Par?metros Curriculares Nacionais para o Ensino M?dio (PCNEM,1999). O Componente Curricular foi proposto para uma carga de 60 horas aula e inclui os t?picos: Hist?ria dos Sistemas de Numera??o Antigos, Hist?ria da Geometria, Hist?ria da ?lgebra, Hist?ria da Trigonometria e Hist?ria das Fun??es. O presente trabalho prop?e, discute e analisa detalhadamente o t?pico Hist?ria dos Sistemas de Numera??o Antigos. / This essay aims to present and describe a proposal of insertion of Mathematics History into teachers undergraduation. Such addition proposal is expected to take place as curricular component to be taught on initial undergraduation for mathematics teachers. The selection of contents for the proposal has been based on the national Curriculum Guidelines (DCN, 2001, acronym in portugueses) for bachelor?s degree in Mathematics; the National Curricular Guidelines for Elementary School (PCNEF, 1998, acronym in Portuguese); and the National Curricular Guidelines for High School (PCNEM, 1999, acronym in Portuguese). The curricular component now presented is supposed to take a 60 hour workload, and includes the following topics: History of Ancient Numbering Systems, History of Trigonometriy and History of fuctions. For the sake of exemplification, the topic History of Ancient Numbering Systems is discussed and analysed in detail as practice for the new curricular component.

Made available in DSpace on 2014-12-17T14:36:04Z (GMT). No. of bitstreams: 1 GiselleCS.pdf: 1317056 bytes, checksum: 7a18c243029448082b124844381ad4ba (MD5) Previous issue date: 2005-10-14 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / 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 / O presente estudo tem como objetivo fazer uma reavalia??o do pensamento l?gico do matem?tico ingl?s George Boole (1815 1864). Desta forma, nossa pesquisa versa sobre reflex?es concernentes a an?lise matem?tica da l?gica permeada pela hist?ria da matem?tica. Para isso, realizamos uma colet?nea de considera??es biogr?ficas deste personagem ? luz de um estudo dos acontecimentos ocorridos no s?culo XIX e seu reflexo na produ??o matem?tica. Descrevemos brevemente as inova??es feitas por Boole nas ?reas de equa??es diferenciais e da teoria de invariantes. Fizemos ainda uma an?lise da l?gica de Boole, especialmente como formulada no livro The Mathematical Analysis of Logic, fazendo uma compara??o desta tanto com a l?gica aristot?lica tradicional, quanto ? l?gica moderna. Conclu?mos que Boole, como pretendia, expandiu a l?gica, n?o somente em termos do seu conte?do, mas tamb?m em termos dos seus m?todos e elabora??o formal. Conclu?mos ainda que o seu prop?sito foi a modelagem matem?tica do racioc?nio dedutivo, o que o levou a apresentar um formalismo que marcou ?poca para a l?gica e que, atrav?s de suas interpreta??es distintas, levou Boole a uma nova conceitua??o do que ? a pr?pria matem?tica

Made available in DSpace on 2014-12-17T14:36:04Z (GMT). No. of bitstreams: 1 RosalbaLO.pdf: 4293767 bytes, checksum: 125d672a2af22db5268c3f449cd6122f (MD5) Previous issue date: 2009-10-16 / 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. / O trabalho situa-se no campo de pesquisa que advoga o uso da Hist?ria da Matem?tica, calcada na utiliza??o de artefatos hist?ricos, em atividades de ensino, na sala de aula de Matematica, em cursos de forma??o de professores da Educa??o Infantil e anos iniciais do Ensino Fundamental. O objetivo geral ? examinar a possibilidade de utiliza??o de artefatos hist?ricos, em atividades de ensino, nos cursos de forma??o de professores da Educa??o Infantil e anos iniciais do Ensino Fundamental. Artefato, no nosso trabalho, ? compreendido como objetos, documentos, monumentos, imagens, fotografias e outros materiais que d?o sentido ?s a??es do homem no passado e que representam o dito e o feito na hist?ria da humanidade. Na constru??o do caminho te?rico-metodol?gico da pesquisa pautamonos nas ideias dos autores que tratam da forma??o de professores; em pesquisadores adeptos ao uso da Hist?ria da Matem?tica (HM) como recurso metodol?gico e em estudos realizados que esclarecem o papel do artefato na hist?ria e como elemento mediador da aprendizagem. Defendemos a tese de que a utiliza??o de artefatos hist?ricos, em atividade de ensino, possibilita ampliar saberes, desenvolver compet?ncias e habilidades essenciais ? atua??o docente, bem como integrar diferentes ?reas do conhecimento, o que propicia uma concep??o de forma??o em que o professor aperfei?oa seu saber, saber-fazer e o saber-ser. Adotamos a abordagem da pesquisa qualitativa com car?ter de um estudo te?rico e pr?tico sobre os elementos que contribuem para o trabalho do professor na sala de aula, destacando o papel da HM na forma??o docente e como recurso did?tico na sala de aula de matem?tica; os saberes, compet?ncias e habilidades necess?rios ?s a??es do professor e o significado dos artefatos hist?ricos como elo de integra??o entre as ?reas do conhecimento. Como resultados, destacamos que a proposta de utilizar HM, por meio de atividades de ensino, nos cursos de forma??o de professores ? relevante, uma vez que permite a investiga??o das ideias que deram origem ao conhecimento gerado em cada contexto social, considerando as contribui??es dos aspectos socioculturais, pol?ticos e econ?micos nesta constru??o, favorecendo um di?logo entre as ?reas e no interior de cada uma. O artefato hist?rico constitui fonte de pesquisa que poder? ser decifrado, compreendido, questionado, extraindo dele informa??es sobre o conhecimento do passado, tra?os e vest?gios da cultura na qual foi criado, constituindo-se testemunho de uma ?poca. Esses aspectos lhe concedem significado para ser explorado como elemento mediador da aprendizagem. Os artefatos incorporados em atividades de ensino nos Cursos de Forma??o de Professores promovem mudan?as na vis?o sobre o ensino de Matem?tica, tendo em vista que privilegia a participa??o ativa do aluno na constru??o do seu conhecimento, reflex?o sobre a a??o que est? sendo realizada, promovendo est?mulos para que os professores possam criar seus pr?prios artefatos, como tamb?m oferece pistas de articula??o da Matem?tica com outras ?reas do conhecimento.

Made available in DSpace on 2014-12-17T14:36:13Z (GMT). No. of bitstreams: 1 MariaARR_TESE.pdf: 2603692 bytes, checksum: 4a1ff25f034fabe0a128c24b4d583020 (MD5) Previous issue date: 2010-12-14 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / The present thesis is an analysis of Adrien-Marie Legendre s works on Number Theory, with a certain emphasis on his 1830 edition of Theory of Numbers. The role played by these works in their historical context and their influence on the development of Number Theory was investigated. A biographic study of Legendre (1752-1833) was undertaken, in which both his personal relations and his scientific productions were related to certain historical elements of the development of both his homeland, France, and the sciences in general, during the 18th and 19th centuries This study revealed notable characteristics of his personality, as well as his attitudes toward his mathematical contemporaries, especially with regard to his seemingly incessant quarrels with Gauss about the priority of various of their scientific discoveries. This is followed by a systematic study of Lagrange s work on Number Theory, including a comparative reading of certain topics, especially that of his renowned law of quadratic reciprocity, with texts of some of his contemporaries. In this way, the dynamics of the evolution of his thought in relation to his semantics, the organization of his demonstrations and his number theoretical discoveries was delimited. Finally, the impact of Legendre s work on Number Theory on the French mathematical community of the time was investigated. This investigation revealed that he not only made substantial contributions to this branch of Mathematics, but also inspired other mathematicians to advance this science even further. This indeed is a fitting legacy for his Theory of Numbers, the first modern text on Higher Arithmetic, on which he labored half his life, producing various editions. Nevertheless, Legendre also received many posthumous honors, including having his name perpetuated on the Trocad?ro face of the Eiffel Tower, which contains a list of 72 eminent scientists, and having a street and an alley in Paris named after him / Este trabalho teve por objetivo inventariar, sistematizar e avaliar as obras em Teoria dos N?meros do matem?tico franc?s Adrien-Marie Legendre (1752-1833), com certa ?nfase no seu livro Teoria dos N?meros, edi??o francesa de 1830, bem como realizar um estudo hist?rico da vida desse matem?tico. Para tanto, foi investigado o papel desempenhado por essas obras e sua influ?ncia no desenvolvimento da Teoria dos N?meros no contexto de sua ?poca. Uma leitura da vida de Adrien-Marie Legendre foi realizada por meio de suas rela??es pessoais e de suas produ??es cient?ficas e colocou em evid?ncia certos elementos hist?ricos do desenvolvimento de um povo, das ci?ncias e suas poss?veis consequ?ncias que nortearam a pr?pria evolu??o da sociedade francesa dos s?culos XVIII-XIX, e revelou caracter?sticas marcantes da personalidade de Legendre no meio matem?tico contempor?neo, como as infind?veis querelas com Gauss a respeito de prioridades de descobertas cient?ficas. Um estudo sistem?tico da obra Teoria dos N?meros (1830) num contexto hist?rico-social e a an?lise de certos conte?dos da obra comparados a alguns textos de outros autores nos permitiram compreender a evolu??o din?mica dos caminhos percorridos pelo autor, quanto ? sem?ntica, ? organiza??o das demonstra??es, ? estrutura l?gico-dedutiva que permearam suas descobertas matem?ticas em Teoria dos N?meros, a exemplo da sua famosa lei de reciprocidade. O impacto causado por suas obras em Teoria dos N?meros na comunidade matem?tica francesa da ?poca e as contribui??es do autor ? ci?ncia antes e depois da publica??o da obra revelou que Teoria dos N?meros, obra ? qual o autor consagrou mais da metade de sua vida no intuito de aperfei?o?-la, tornou not?ria a honra que lhe ? devida como o primeiro tratado de uma Aritm?tica superior que tanto inspirou a outros matem?ticos para o avan?o dessa ci?ncia no s?culo XX. Legendre recebeu homenagens p?stumas dos matem?ticos Beaumont, e Poisson, que inclusive discursou em seu funeral, e o seu nome se encontra perpetuado na face Trocad?ro da Torre Eiffel que cont?m uma lista de 72 ilustres cientistas e d? nome a uma passagem e a uma rua do 17? bairro da cidade de Paris

Made available in DSpace on 2014-12-17T14:36:18Z (GMT). No. of bitstreams: 1 GracianaFD.pdf: 2970581 bytes, checksum: c1ff770889898414c89539276036b80e (MD5) Previous issue date: 2009-11-11 / The present work had as principal objective to analyze the, 9th grade students understanding about the solutions of an equation of the 2? degree, using geometric processes of the History of the Mathematics. To do so, the research had as base the elaboration and application of a group of teaching activities, based on Jean Piaget's construtivism. The research consisted of a methodological intervention, that has as subjects the students of a group of 9th grade of the State School Jos? Martins de Vasconcelos, located in the municipal district of Mossor?, Rio Grande do Norte. The intervention was divided in three stages: application of an initial evaluation; development of activities‟ module with emphasis in constructive teaching; and the application of the final evaluation. The data presented in the initial evaluation revealed a low level of the students' understanding with relationship to the calculation of areas of rectangles, resolution of equations of the 1st and 2nd degrees, and they were to subsidize the elaboration of the teaching module. The data collected in the initial evaluation were commented and presented under descriptive statistics form. The results of the final evaluation were analyzed under the qualitative point of view, based on Richard Skemp's theory on the understanding of mathematical concepts. The general results showed a qualitative increase with relationship to the students' understanding on the mathematical concepts approached in the intervention. Such results indicate that a methodology using the previous student‟s knowledge and the development of teaching activities, learning in the construtivist theory, make possible an understanding on the part of the students concerning the thematic proposal / O presente trabalho teve como principal objetivo analisar a possibilidade de compreens?o, por parte de alunos do 9? ano, sobre a obten??o das solu??es de uma equa??o do 2? grau, utilizando processos geom?tricos da Hist?ria da Matem?tica. Para tanto, a pesquisa teve como base a elabora??o e aplica??o de um conjunto de atividades de ensino, baseado na teoria construtivista de Jean Piaget. A pesquisa consistiu em uma interven??o metodol?gica, tendo como sujeitos os alunos de uma turma de 9? ano da escola Jos? Martins de Vasconcelos, situada no munic?pio de Mossor?, Rio Grande do Norte. A interven??o foi dividida em tr?s etapas: aplica??o de uma avalia??o inicial; desenvolvimento de um m?dulo de ensino com ?nfase em ensino construtivo e a aplica??o da avalia??o final. Os dados apresentados na avalia??o inicial, ou diagn?stica, revelaram um baixo n?vel de compreens?o dos alunos com rela??o ao c?lculo de ?reas de ret?ngulos e resolu??o de equa??es do 1? e 2? graus, servindo para subsidiar a elabora??o do m?dulo de ensino. Os dados coletados na avalia??o inicial foram comentados e apresentados sob a forma de estat?stica descritiva. Os resultados da avalia??o final foram analisados sob o ponto de vista qualitativo, com base na teoria de Richard Skemp sobre a compreens?o de conceitos matem?ticos. Os resultados gerais mostraram um avan?o com rela??o ? compreens?o dos alunos sobre os conceitos matem?ticos abordados na interven??o. Tais resultados indicam que uma metodologia que leve em considera??o os conhecimentos pr?vios dos alunos e o desenvolvimento de atividades de ensino, apoiada em teoria construtivista, possibilita uma compreens?o por parte dos alunos acerca da tem?tica proposta

Submitted by Automa??o e Estat?stica (sst@bczm.ufrn.br) on 2016-01-20T21:13:36Z No. of bitstreams: 1 CristianeBorgesAngelo_TESE.pdf: 968399 bytes, checksum: 804361dc0fb6d4f983f2dfc08388fc83 (MD5) / Approved for entry into archive by Arlan Eloi Leite Silva (eloihistoriador@yahoo.com.br) on 2016-01-22T18:04:21Z (GMT) No. of bitstreams: 1 CristianeBorgesAngelo_TESE.pdf: 968399 bytes, checksum: 804361dc0fb6d4f983f2dfc08388fc83 (MD5) / Made available in DSpace on 2016-01-22T18:04:21Z (GMT). No. of bitstreams: 1 CristianeBorgesAngelo_TESE.pdf: 968399 bytes, checksum: 804361dc0fb6d4f983f2dfc08388fc83 (MD5) Previous issue date: 2014-08-15 / Essa pesquisa teve por objetivo geral analisar reflexivamente a produ??o acad?mica gerada nos programas de p?s-gradua??o stricto sensu do pa?s, produzidas no per?odo de 1990 a 2010, no campo da Hist?ria da Matem?tica, especificamente os trabalhos que versam sobre Hist?ria da Matem?tica no ensino de Matem?tica e que apresentam propostas did?ticas que utilizam a Hist?ria da Matem?tica com o intuito de ensinar Matem?tica. Defendemos a tese de que pesquisas em Educa??o Matem?tica com objetivos voltados ao uso de propostas did?ticas relacionadas ? Hist?ria da Matem?tica que levem em considera??o a coer?ncia entre aspectos epistemol?gicos inerentes ? Hist?ria da Matem?tica e elementos ontol?gicos materializados nas concep??es de Matem?tica, Hist?ria da Matem?tica e aprendizagem (impl?cita ou explicitamente expostos) podem originar significativa contribui??o para o campo da Hist?ria da Matem?tica no ensino. Foram catalogados e analisados quatorze trabalhos, dos quais nove eram disserta??es de mestrado e cinco teses de doutorado. A an?lise reflexiva foi realizada a partir de duas matrizes, uma de natureza te?rica e outra de natureza ontol?gica, elaboradas a partir dos pressupostos de Sanchez Gamboa, no que diz respeito ? an?lise epistemol?gica de produ??es acad?micas no campo da Educa??o e das seguintes perspectivas te?ricas no campo da Hist?ria na Educa??o Matem?tica: evolucionista linear, estrutural construtivista operat?ria, evolutiva descontinua, investiga??o hist?rica, sociocultural e jogo de vozes e ecos. Essas perspectivas foram fundamentadas nos trabalhos de Miguel e Miorim, Mendes, e Radford. Como resultados, detectamos algumas disson?ncias estabelecidas entre as categorias pertencentes ao n?vel te?rico e ao n?vel ontol?gico e a proposta did?tica apresentada nas pesquisas. Por outro lado, encontramos trabalhos que conseguem estabelecer conson?ncias entre os elementos te?ricos e ontol?gicos e a proposta did?tica apresentada. Esses trabalhos trazem contribui??es significativas para a ?rea da Hist?ria da Matem?tica no Ensino de Matem?tica, inclusive apresentando elementos te?ricos significativos para a produ??o do conhecimento reconhecido como cient?fico nessa ?rea / This research aims to make a reflective analysis about the academic production originated in the stricto sensu post graduation programs in the country, produced in the period of 1990 to 2010, in the field of History of Mathematics, especifically on works about the History of Mathematics in Mathematics education and that present pedagogical proposals that make use of the History of Mathematics in order to teach Mathematics. Defending the thesis that the researches on mathematics education with goals turned to the use of didactic proposals related to the history of mathematic that take in consideration the coherency between epistemological aspects inherent to mathematics history and anthological elements materialized on the conceptions of mathematics and mathematics history and of apprenticeship (implicitly or explicitly exposed) may originate significant contribution to the field of history of mathematics on education. Among these, nine were Master?s Degree dissertations and five PHD?s theses. The reflective analysis was accomplished from two matrixes; one from theoretical nature and the other, ontologic nature, elaborated from the pretexts of Sanches Gamboa, about the epistemological analysis from academic production in the field of Mathematics Education and the following theoretical perspectives in the field of History of Mathematics Education, that are: linear evolutionary theory, structural construtivist operative, evolutionary discontinuous, historical and socialcultural investigation and the use of activities estimulating the usage of verbal and nonverbal expressions. These perspectives were based on the works of Miguel and Miorim, Mendes and Radford. As results, we have detected some established dissonances between the categories related to theoretical and ontologic levels and the pedagogical proposal presented in these researches. On the other hand, we have discovered works that are able to establish consonances between the theoretical and ontological elements and the presented pedagogical proposal. These works carry significative contributions to the field of History of Mathematics applied to Mathematics pedagogical practice, inclusively presenting significative theoretical elements to the production of knowledge recognized as scientific in the Mathematics field

Submitted by Automa??o e Estat?stica (sst@bczm.ufrn.br) on 2016-05-30T23:34:36Z No. of bitstreams: 1 EnneKarolVenancioDeSousa_TESE.pdf: 4736279 bytes, checksum: fe34a02ae8bc08ba101caf7bc79c351b (MD5) / Approved for entry into archive by Arlan Eloi Leite Silva (eloihistoriador@yahoo.com.br) on 2016-06-02T21:06:17Z (GMT) No. of bitstreams: 1 EnneKarolVenancioDeSousa_TESE.pdf: 4736279 bytes, checksum: fe34a02ae8bc08ba101caf7bc79c351b (MD5) / Made available in DSpace on 2016-06-02T21:06:17Z (GMT). No. of bitstreams: 1 EnneKarolVenancioDeSousa_TESE.pdf: 4736279 bytes, checksum: fe34a02ae8bc08ba101caf7bc79c351b (MD5) Previous issue date: 2015-06-11 / Esta tese configura um estudo sobre a linguagem matem?tica e concentra-se no exerc?cio da significa??o e comunica??o deste campo de conhecimento. O problema central ? o desenvolvimento de um M?dulo de Ensino para o estudo das defini??es matem?ticas. Assim, o presente estudo, vinculado ? linha de pesquisa Ensino de Ci?ncias e Educa??o Matem?tica (PPGED/UFRN), tem como objetivo geral o desenvolvimento de atividades construtivistas, informadas pela Hist?ria da Matem?tica (Fossa), para promover a compreens?o relacional (Skemp) das defini??es matem?ticas. As atividades foram organizadas ao longo de princ?pios construtivistas com aspecto hist?rico fornecido, principalmente, a partir das obras O problema das defini??es em Matem?tica (1965) e A L?gica na Matem?tica (1996), por J?lio Cesar de Melo e Souza, cujo pseud?nimo era Malba Tahan. As atividades propostas foram testadas com um grupo de estudantes de gradua??o em Matem?tica do IFRN, campus Santa Cruz (Rio Grande do Norte), usando metodologias de pesquisas qualitativas, especialmente de ensino experimental. Como referencial te?rico, usamos o Construtivismo Radical e avaliamos os dados usando uma interpreta??o global (Silva, 2013), de Skemp (1980). A partir da an?lise dos dados coletados durante as atividades, avalia??es escritas e entrevistas, conclu?mos que a interven??o proposta levou os participantes a uma compreens?o relacional das defini??es matem?ticas. / This thesis is based on studies about mathematical language and focuses on the exercising of meaning and communicating in Mathematics. The central problem is the development of a teaching module for the study of matematical definitions. Thus, the present study, subordinated to the line of research Ensino de Ci?ncias e Educa??o Matem?tica (PPGED/UFRN), has as its general goal the development of constructivist activities, informed by the History of Mathematics (FOSSA, 1995), to promote the relational understanding (SKEMP, 1976) of mathematical definitions. The activities themselves were organized along constructivist principles with an historical aspect supplied, in the main, by O problema das defini??es Matem?ticas (1965) and A L?gica na Matem?tica (1966), by J?lio Cesar de Mello e Souza, whose penname was Malba Tahan. The proposed activities were tested with a group of undergraduate mathematics students at the IFRN, Santa Cruz campus in Rio Grande do Norte, using qualitative research methodologies, especially the teaching experiment. As a basic theoretical framework, we used Radical Constructivism and evaluated the data using a global interpretation (SILVA, 2013) of Skemp (1980). From the analysis of data collected during the lessons, written evaluation and interviews we concluded that the proposed intervention led the participants to a relational understanding of mathematical definitions.

Made available in DSpace on 2014-12-17T15:04:48Z (GMT). No. of bitstreams: 1 MartaMMM.pdf: 1215431 bytes, checksum: a4bc80e0c6dcb3570e856b3f35916003 (MD5) Previous issue date: 2007-04-24 / In this work, the didactical possibilities of investigation use in classroom, through an experience with high school students from Federal Center of Technological Education of Para?ba, as well as the study of conic sections were analysed. In order to fulfill our goals the theoretical conceptions concerning the meaninful learning in conection with the investigation of mathematics history were taken into account. The classroom research occurred by means of activities which encouraged the learner to investigate his own concepts on the conic sections. The results of the proposed activities showed the effectiveness and the efficiency of such a methodology as regards the making up of the required knowledge. They also reveal that the investigation in the classroom guides the ones involved, in this process, to have a wider look at the origins, the methods used and the several representations presented by mathematics that certainly lead, specially the students, to a meaninful learning / Neste trabalho, analisamos as possibilidades did?ticas de uso da investiga??o em sala de aula, a partir de uma experi?ncia com estudantes do ensino m?dio no Centro Federal de Educa??o Tecnol?gica da Para?ba CEFET PB, na qual abordamos o estudo das sec??es c?nicas. Para o alcance dos nossos objetivos tomamos como aporte te?rico as concep??es referentes ? aprendizagem significativa em conex?o com a investiga??o em hist?ria da matem?tica. A pesquisa em sala de aula efetivou-se atrav?s de atividades que instigaram, no aprendiz, o desejo de investigar os conceitos pr?prios das sec??es c?nicas. Os resultados das atividades propostas e postas em pr?tica mostraram a efic?cia e a efici?ncia de tal metodologia na constru??o do conhecimento requerido, nos mostrando que a investiga??o em sala de aula conduz os envolvidos, nesse processo, a olhar de forma mais globalizante para as origens e os m?todos utilizados para desenvolver, al?m das v?rias representa??es apresentadas pela matem?tica, o que, certamente conduz, principalmente os alunos, a uma aprendizagem significativa

Made available in DSpace on 2014-12-17T15:04:52Z (GMT). No. of bitstreams: 1 GeorgianeAS.pdf: 3018319 bytes, checksum: fe1da0a81a6bfdd332127f5ebc8367e1 (MD5) Previous issue date: 2010-12-14 / At the present investigation had the purpose to achieve a descritive analysis pedagogy in the work of Recherche m?thodique et propri?t?s des triangles rectangles en nombres entiers. According to the analysis achieved, we made and applyed the teaching module called Pitagories: one of tools to comprehension Pitagory Theorema, there were studying by public students in mathematic course in the UFRN , the new mathematic teachers in future. The analysis the was made with writen test the was showed that all students got the view comprehension in the teaching approach module, to apointed the difference in the learning qualytative with other reseach that was made with quastionaire and enterview. With this module that was made with the new future teacheres there was more attention the better comprehension with the Pitagory Theorema, that was good focus in the pitagory about the potential historical pedagogyc in the work studied. / O presente trabalho apresenta uma an?lise descritiva, hist?rica e pedag?gica da obra Recherche m?thodique et propri?t?s des triangles rectangles en nombres entiers. De acordo com a an?lise realizada, elaboramos e aplicamos o m?dulo de ensino intitulado Ternos Pitag?ricos: uma ferramenta para compreens?o do Teorema de Pit?goras, tendo como p?blico alvo os alunos do curso de Licenciatura em Matem?tica, da UFRN, futuros professores de Matem?tica. A an?lise dos dados coletados da prova escrita, de modo geral mostrou que os alunos assimilaram com relativa compreens?o os conceitos abordados no m?dulo de ensino, apontando para uma diferen?a qualitativa na aprendizagem com rela??o aos dados obtidos nos primeiros instrumentos utilizados, a saber: question?rio e entrevista. Com o m?dulo de ensino realizado, proporcionamos aos futuros professores, uma maior compreens?o do Teorema de Pit?goras, tendo como enfoque os Ternos Pitag?ricos sob uma apresenta??o hist?rica, constantando o potencial pedag?gico da obra em foco.

Made available in DSpace on 2014-12-17T15:04:54Z (GMT). No. of bitstreams: 1 JoseRCJ_DISSERT.pdf: 1758166 bytes, checksum: 84702b406264dc71be3f28054ea10c9a (MD5) Previous issue date: 2010-05-31 / This study is the result of a work which approaches the Mathematics History how source of the meaning s attribution in the proportionality concept. We adopt the methodology of the source qualitative and we work with a group of teachers from instruction s public system of the fundamental and medium level from Pocinhos City Para?ba. For the data collection, we use the field notes, the questionnaire, a sequence of activities and the interview semistructured like instruments. The study had how objective to know the significates attributeds to proportionality concept through of the activity mediate from Mathematics History, besides to investigate if a approach of the nature enables modification according to this sense. The results obtaineds though the data analysis indicate that the activities bring contributions which refer to achieve objectives. On the other hand they also showed that we have a long trajectory to be trailed in the meaning of to turn the Mathematics History a subsidy effective in the teachers practice, in view of the formation absence in the knowledge area, besides the necessity of the approach adequated of the Mathematics History in the didatics books of Mathematic / Este estudo ? o resultado de um trabalho que aborda a Hist?ria da Matem?tica como fonte de atribui??o de significado ao conceito de proporcionalidade. Adotamos a metodologia de pesquisa qualitativa e trabalhamos com um grupo de professores da rede p?blica de ensino dos n?veis fundamental e m?dio da cidade de Pocinhos - PB. Para a coleta de dados utilizamos as notas de campo, o question?rio, uma sequ?ncia de atividades e a entrevista semiestruturada como instrumentos. O estudo teve como objetivo conhecer os significados atribu?dos ao conceito de proporcionalidade por meio de atividades mediadas pela Hist?ria da Matem?tica, bem como averiguar se uma abordagem desta natureza possibilita modifica??o nesse sentido. Os resultados obtidos atrav?s da an?lise dos dados indicaram que as atividades trouxeram contribui??es no que se refere a alcan?ar objetivos. Por outro lado mostra, tamb?m, que existe um longo percurso a ser trilhado no sentido de tornar Hist?ria da Matem?tica subs?dio efetivo na pr?tica desses professores, tendo em vista a falta de forma??o nesta ?rea de conhecimento bem como a car?ncia de uma abordagem adequada da Hist?ria da Matem?tica nos livros did?ticos de matem?tica