Orientador: Miriam Godoy Penteado / Banca: Laurizete Ferragut Passos / Banca: Telma Aparecida de Souza Gracias / Resumo: Esta pesquisa trata da Formação Inicial de Professores de Matemática, em particular sobre o uso de tecnologia informática. Sabendo da problemática existente nos cursos de graduação, como, por exemplo, a desarticulação entre teoria e prática, entre formação universitária e realidade escolar, deteve-se na seguinte questão: "Quais são as perspectivas, expectativas e dificuldades que os futuros professores apresentam quando refletem sobre uma prática educativa utilizando planilhas eletrônicas na escola básica?". A pesquisa contou com a participação de dois futuros professores de Matemática da UNESP de Rio Claro. Foram realizados três encontros de planejamento, dez encontros de intervenção em uma escola pública, e dez encontros de reflexão, que ocorreram sempre após cada intervenção. Os licenciandos tiveram a oportunidade de expor suas idéias sobre as experiências realizadas e, a partir de uma análise à luz do referencial teórico, foram extraindo temas que se referem às suas expectativas, perspectivas e dificuldades. Entre eles, a gestão da sala de aula e a transposição de conteúdo, a complexidade da sala de aula, como eles percebem os alunos, as condições de trabalho na escola, ser professor e o uso de tecnologia informática. / Abstract: This research addresses the pre-service mathematics teacher education, in particular their practice with computer. Considering the problems concerning teacher education courses - as, for instance, the disarticulation between the theory and the practice, and between the university education and the school reality - it was formulated the following research question: "What are the perspectives, expectations and difficulties that the future teachers experience when they reflect on an educational practice using spreadsheets at the basic school?" The research was developed in collaboration with two future mathematics teachers from UNESP at Rio Claro, São Paulo, Brazil. It was organized three planning meetings, ten intervention meetings in a public school, and ten reflection meeting, that always took place right after each intervention meeting. The reflection meetings were videoed and transcribed. The data were analyzed with reference to the literature. Themes were identified that could be referred to their expectation, perspectives, and difficulties. These themes included: the teaching in the classroom and the transposition of the contents; the complexity of the classroom environment; the interaction with the students; the school working conditions; being a teacher; and the use of computers. / Mestre

This dissertation study examines the experiences of four Latina/o pre-service teachers (PSTs) as they learn about teaching mathematics for understanding (TM4U) and integrating a child's out-of-school mathematical knowledge and experiences during instruction. Studying the knowledge and experiences of Latina/o PSTs is necessary because PSTs from minoritized backgrounds have particular insights about teaching diverse students that can inform the learning experiences of other PSTs. This study investigates the prior experiences and beliefs about mathematics instruction the Latina/o PSTs (and those from minoritized backgrounds) bring as they begin their mathematics methods semester and how they leverage their experiences as they learn to teach mathematics to diverse students. Teaching mathematics for understanding is one way that teachers can support children's understanding of mathematics (Kilpatrick et al 2001). Teachers who integrate children's out-of-school mathematical knowledge and experiences in their practice draws upon multiple existing frameworks--the basic premise being that children come to school with mathematical knowledge and experiences that helps them learn mathematics in school (Gonzalez, Andrade, Civil, & Moll, 2001; Greer, Mukhopadhyay, Powell, & Nelson-Barber, 2009). My study looks at the experiences of Latina/o PSTs as they learn to help children leverage their out-of-school knowledge and experiences to understand mathematics. Data sources included four individual interviews, relevant methods assignments and audio transcripts from methods course discussions, and observational notes from the PSTs' field experience classrooms. The study found that PSTs leveraged their prior experiences as English Language Learners to support linguistically diverse children learn mathematics. Based on their prior experiences, some of the PSTs were more sensitive to the needs of marginalized children learning mathematics. The study found that the PSTs leveraged their experiences as diverse learners to think about the ways teachers could connect in-school mathematics to children's out-of-school mathematical knowledge and experiences. Yet the findings suggest that PSTs still need more experience articulating how exactly children's out-of-school experiences can help children understand mathematics. Implications of this study speak to how the beliefs and prior experiences of PSTs from minoritized backgrounds can inform how future teachers are prepared to teach mathematics to diverse students.

Orientador: Rosa Lúcia Sverzut Baroni / Banca: Frederico da Silva Reis / Banca: Nativi Viana Pereira Bertolo / Resumo: Considerando-se as modificações pelas quais os cursos de licenciatura têm sofrido, as recorrentes discussões sobre o papel que determinadas disciplinas têm na formação do futuro professor, e que esse movimento não é diferente no caso particular da matemática, o presente trabalho pretende trazer à tona alguns resultados, e principalmente questionamentos, que devem contribuir para discussões a respeito da importância da disciplina de análise na formação de professores de matemática. A nossa pesquisa está dividida em duas etapas. Na primeira delas, do tipo estado do conhecimento, fizemos um mapeamento da produção brasileira relativa ao ensino de análise em dissertações e teses, artigos em periódicos e trabalhos em anais de eventos. Fizemos uma análise quantitativa desses dados e levantamos questões críticas que emergiram das discussões apresentadas tanto por esses trabalhos quanto por indagações nossas. Concluímos que a quantidade de pesquisas em ensino de análise ainda é muito pequena, há poucos docentes universitários trabalhando com essa temática e os trabalhos estão relativamente isolados entre si. Concluímos ainda que há muitas questões sem resposta sobre a importância e relevância da disciplina de análise em cursos de formação de professores da matemática. A segunda etapa de nosso trabalho traz um panorama de como vem se estruturando o programa, de um modo geral; e os objetivos, conteúdos e bibliografia da disciplina de análise em dois cursos: o da Universidade Estadual Paulista (UNESP) e o da Universidade de São Paulo (USP). O estudo foi realizado através de grades curriculares e programas de disciplinas de análise e cálculo. Nossa fonte de dados, dentro da perspectiva de uma pesquisa qualitativa, é, assim, a análise de documentos. Para a sua análise... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: Considering the modifications through Brazilian licentiates in mathematics have passed and the discussions over the role some disciplines have on the future teacher's training, this work intends to bring out some results and questions that should contribute to debates about the importance of the subject of analysis in the education of mathematics teachers. Our research is divided in two steps. The first one, the type state of knowledge, we made a mapping of the Brazilian production relative to the analysis teaching on dissertations and PhD thesis, articles in scientific journals and proceedings. A quantitative analysis of these data was made and critical issues that emerged from presented debates by theses analysis as well as our investigation were raised. It was concluded that the amount of research on analysis teaching is still very small, there are few professors who work with this topic and there is not a link between them. We still concluded that there are many unanswered questions about the importance and relevance of the subject of analysis on courses of mathematics teacher education. The second step of our research adduces an aspect about how the program is generally being built, and the goals, syllabus and bibliography of the subject of analysis in two courses in Brazilian universities: São Paulo State University (UNESP) e University of São Paulo (USP). The study was conducted through curricula and programs in the courses of analysis and calculus. Our data source, in a perspective of a qualitative research, is an analysis of documents. For their analysis, we followed the steps of reduction, presentation and conclusions. In courses at USP and UNESP, there were not specific courses of analyses or calculus in their first years, being this breakup done after the seventies. About the goals, these have never... (Complete abstract click electronic access below) / Mestre

Submitted by Jean Medeiros (jeanletras@uepb.edu.br) on 2016-05-19T11:58:09Z No. of bitstreams: 1 PDF - Carla de Araújo.pdf: 3264656 bytes, checksum: 1866892d1a4b24aa824000070bae9359 (MD5) / Approved for entry into archive by Secta BC (secta.csu.bc@uepb.edu.br) on 2016-07-21T20:41:20Z (GMT) No. of bitstreams: 1 PDF - Carla de Araújo.pdf: 3264656 bytes, checksum: 1866892d1a4b24aa824000070bae9359 (MD5) / Approved for entry into archive by Secta BC (secta.csu.bc@uepb.edu.br) on 2016-07-21T20:41:28Z (GMT) No. of bitstreams: 1 PDF - Carla de Araújo.pdf: 3264656 bytes, checksum: 1866892d1a4b24aa824000070bae9359 (MD5) / Made available in DSpace on 2016-07-21T20:41:28Z (GMT). No. of bitstreams: 1 PDF - Carla de Araújo.pdf: 3264656 bytes, checksum: 1866892d1a4b24aa824000070bae9359 (MD5) Previous issue date: 2015-12-18 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / Our research work aimed to investigate technological, pedagogical and content knowledge, if any, of the pre-service Mathematics teachers on the use of multimedia resources. Linked to the Program PRODOCÊNCIA/UEPB, our research work intended to instill critical thinking processes in the education Mathematics teachers, particularly in Mathematics Education, with the use of information and communication technologies (TIC) that may contribute to improve under graduation courses. Our research work had a qualitative approach with the application of a didactic proposal carried out between the months of March and June of 2015. The participant subjects were ten students of the Mathematics Teacher Education at the State University of Paraíba UEPB, who attended the third period of the curricular component Applied Computing to Education II. The pre-service teachers were organized in couples. We use as instruments to our data collection research, participant observation, questionnaires, interviews (audios) and field notes. Firstly, we intended to trace the couple profiles in relation to knowledge of digital platforms and conception on coursing a different curricular component, of which was the scenario to this research work. Then we analyzed the knowledge technological, pedagogical and of content, if any, presented by the couples. We relied in Koehler and Mishra’s TPACK theoretical model (2005). We also analyzed the multimedia resources with the construction of virtual classes by the couples. At this analysis stage we used some of the Mayer Multimedia Principles (2001) that assists in the construction of well elaborated multimedia materials, being able to promote better learning. Based on the analyzed data, we could conclude that our research work enabled opportunities for pre-service Mathematics teachers to be in full movement as individuals and couples. We noted that, for many times, the pre-service teacher graduated with lacks on the classroom management, that is, the pedagogical knowledge is poorly explored by making the continuing teacher education overloaded of responsibility with this teacher on new tendencies and facets of practices linked to the students` reality. By analyzing the virtual classes done by the couples, we noted that some of the Multimedia Principles were used, as the elaborations of good pedagogical material could empower the teaching and learning. Our research studies makes possible to the pre-service teachers reflect and develop technological, pedagogical and content knowledge by planning virtual classes using the Moodle Platform. / Em nossa pesquisa objetivamos investigar conhecimento, se algum, tecnológico, pedagógico e de conteúdo de professores de Matemática em formação quanto à utilização dos recursos multimídias. Vinculado ao Programa PRODOCÊNCIA/UEPB, nossa pesquisa busca incutir processos de reflexão crítica na formação inicial do professor de Matemática, em particular na Educação Matemática, com a utilização das tecnologias da informação e comunicação (TIC), podendo vir a contribuir para melhoria dos cursos de licenciaturas. Nossa pesquisa se deu por abordagem qualitativa, com a aplicação de uma proposta didática realizada entre os meses de março e junho de 2015. Os sujeitos participantes foram dez alunos do Curso de Licenciatura em Matemática da Universidade Estadual da Paraíba UEPB, que cursavam o terceiro período da componente curricular Informática Aplicada ao Ensino II. Os professores em formação foram organizados em duplas. Utilizamos como instrumentos de pesquisa para nossa coleta dos dados, observação participante, questionários, entrevistas (áudios) e notas de campo. Primeiramente, buscamos delinear o perfil das duplas com relação ao conhecimento de plataformas digitais e concepções ao cursar um componente curricular de formato distinto, no qual foi cenário desta pesquisa. Em seguida, analisamos o conhecimento, se algum, tecnológico, pedagógico e de conteúdo apresentado pelas duplas. Baseamo-nos no modelo teórico TPACK de Koehler e Mishra (2005). Também analisamos os recursos multimídias com a construção das aulas virtuais pelas duplas. Nesta fase de análise, foram utilizados pelos professores em formaçãoos Princípios Multimídias de Mayer (2001), que auxiliam na construção de materiais multimídias bem elaborados, podendo promover melhor aprendizagem. Com base nos dados analisados, podemos concluir que nossa pesquisa possibilitou oportunidade para professores de Matemática em formação estar ativos e engajados de forma plena tanto de modo individual como de dupla. Percebemos que por muitas vezes o professor em formação se forma com lacunas sobre gestão de sala de aula, ou seja, o conhecimento pedagógico é pouco explorado, fazendo com que a formação continuada fique sobrecarregada de responsabilidade com esse professor diante das novas tendências e vertentes de práticas coligadas com a realidade dos alunos. Ao analisarmos as aulas virtuais construídas pelas duplas, notamos que alguns Princípios Multimídias foram utilizados, tendo em vista a elaboração de bons materiais pedagógicos que podem vir a potencializar o ensino e a aprendizagem. A nossa pesquisa possibilitou professores em formação refletirem e desenvolverem conhecimentos, tecnológico, pedagógico e de conteúdo ao planejar aulas virtuais utilizando a Plataforma Moodle.

Made available in DSpace on 2016-04-27T16:58:33Z (GMT). No. of bitstreams: 1 Aristeu Alvarenga Lasso.pdf: 5925017 bytes, checksum: 0cb01a8ff5b9a89db42e5a92c5597134 (MD5) Previous issue date: 2007-12-07 / This research aims to investigate what the undergraduates from a mathematics teacher education program expect from their future teaching practice, the schools, their future students and their future pairs, besides potential changes in these expectations depending on their stage on the program. Our academic referencing is based on researches by João Pedro da Ponte, Dario Fiorentini, Francisco Imbernón, Maurice Tardif, and Claude Lessard. These authors have written works on initial teacher education and on teaching practices and knowledge. Students in the first, second and third years answered a 27-item questionnaire with three open questions, the results of which were processed by Excel and afterwards by the software CHIC an essential tool to deduce the types of connection between the students answers and their own profile. Our results show that students in their first year have positive expectations towards their future profession and those in the last year or those who had already teached in primary or secondary levels have few positive expectations towards teaching as a career / A presente pesquisa tem como objetivo investigar expectativas de alunos de um curso de Licenciatura em Matemática em relação a suas futuras práticas docentes, à escola, a seus futuros alunos e futuros colegas de profissão, além de possíveis mudanças dessas expectativas em função do ano que cursam. Como referencial teórico, foram abordados alguns estudos de João Pedro da Ponte, Dario Fiorentini, Francisco Imbernón, Maurice Tardif e Claude Lessard. Tais autores possuem estudos sobre formação inicial de professores, práticas, saberes e trabalho docente. Foram aplicados questionários para alunos do 1.°, 2.º e 3.º ano do curso, que responderam a um total de vinte e sete itens, sendo que três consistiam de questões abertas ou semi-abertas cujos dados foram processados pelo Excel e, posteriormente, pelo software CHIC, este último tendo servido como ferramenta fundamental para inferência sobre os tipos de relações existentes entre as respostas dos alunos pesquisados e seus respectivos perfis. Obtivemos resultados que apontam que os alunos do 1.º ano possuem expectativas positivas sobre a futura profissão, e os alunos do último ano, que lecionam ou já lecionaram na Educação Básica, são os que mais apresentam expectativas pouco positivas sobre a profissão docente

Thesis (Ph.D.)--University of the Witwatersrand, Faculty of Humanities, School of Education, 2013 / Mathematics-for-teaching (MfT) is complex, multi-faceted and topic-specific. In this study, a Financial Mathematics course for pre-service secondary mathematics teachers provides a revelatory case for investigating MfT. The course was designed and taught by the author to a class of forty-two students at a university in South Africa. Eight students, forming a purposive sample, participated as members of two focus tutorial groups and took part in individual and group interviews. As an instance of insider research, the study makes use of a qualitative methodology that draws on a variety of data sources including lecture sessions and group tutorials, group and individual interviews, students’ journals, a test and a questionnaire. The thesis is structured in two parts. The first part explores revisiting of school mathematics with particular focus on compound interest and the related aspects of percentage change and exponential growth. Four cases are presented, in the form of analytic narrative vignettes which structure the analysis and provide insight into opportunities for learning MfT of compound interest. The evidence shows that opportunities may be provided to learn a range of aspects of MfT through revisiting school mathematics. The second part focuses on obstacles experienced by students in learning annuities, their time-related talk, as well as their use of mathematical resources such as timelines and spreadsheets. A range of obstacles are identified. Evidence shows that students use timelines in a range of non-standard ways but that this does not necessarily determine or reflect their success in solving annuities problems. Students’ use of spreadsheets reveals that spreadsheets are a powerful tool for working with annuities. A key finding with regard to teachers’ mathematical knowledge, and which cuts across both parts of the thesis, is the importance of being able to move between compressed and decompressed forms of mathematics. The study makes three key contributions. Firstly, a framework for MfT is proposed, building on existing frameworks in the literature. This framework is used as a conceptual tool to frame the study, and as an analytic tool to explore opportunities to learn MfT as well as the obstacles experienced by. A second contribution is the theoretical and empirical elaboration of the notion of revisiting. Thirdly, a range of theoretical constructs related to teaching and learning introductory financial mathematics are introduced. These include separate reference landscapes for the concepts of compound interest and annuities

Views of teaching: implications for the didactic training of mathematics teachers. School mathematics teaching is an essential learning area in South African schools. Owing to persistent traditional positivist-based views and approaches, it still suffers from a variety of teaching-learning problems. Various national attempts have already been made to develop an effective teaching-learning program for school mathematics. Prominent researchers reveal that the failure of teaching-learning programmes often have to be attributed to the lack of an underlying grounded didactic theory. Therefore this study focused on the development of a grounded teaching-theoretical framework for school mathematics teaching. A further problem regarding school mathematics is that its teaching and learning traditionally are viewed from a narrow school subject disciplinary perspective. Therefore this study departed from a general didactic-theoretical perspective, creating the opportunity to approach and solve problems from a wider angle. A constructivist-based post-positivist view of effective teaching was developed, before entering the field of school mathematics. In this way an integrated ontologicalcontextual view of teaching was developed in terms of six identified ontological essential features, and their contextual coherence, namely: intention, teacher, leamer, interaction, content and context. Contrary to traditional positivist views, no causal relationship between teaching and learning was imposed, and teaching was not qualified in terms of learning products. Instead, teaching was characterised and qualified on ontological grounds, departing from the phenomenon itself. In this way the limitations of positivist process-product views of teaching could be identified, explained and overcome. Alternatively, a dynamic integrated view of teaching as a human act, directed at the facilitation of relevant and meaningful learning, was grounded and developed. Based on this general ontological-contextually based view, a specific ontologicalcontextual view of effective school mathematics teaching was grounded and developed. To this end a variety of prominent contemporary views of and approaches to school mathematics, and its teaching and learning, needed to be analysed in a critical way. According to this analysis school mathematics, and its teaching and learning should be viewed and approached from a constructivist-based dynamic change-and-grow perspective as human acts. In addition, it could have been proved that the perspective concerned can facilitate the treatment and solving of the currently experienced teaching-learning problems. This requires the reconsideration, from a similar perspective, of the current school mathematics curriculum, as well as the preservice didactic training of mathematics teachers. Specific implications of the developed ontological-contextual view of effective school mathematics teaching were identified, and practically tested in the corresponding preservice didactic training situation in the North West Province. Based on this an integrated model for the training concerned was formulated. It was found that the current training largely contributed to the continuation of traditional views of and approaches to school mathematics teaching, and its essential features. From the developed integrated ontological-contextual perspective definitive proposals regarding the transformation of school mathematics teaching and the corresponding didactic training were made and motivated. Further areas for investigation and development, resulting from this study, were identified, as well. This study aimed at investigating, and revealing for further exploration, the specific and broadening interaction between the general teaching and subject didactical fields and research, particularly in the two contexts of effective school mathematics teaching and the corresponding preservice didactical training. A particular attempt was made to accomplish this in a grounded and integrated way, to the benefit of both fields. / Thesis (PhD)--PU for CHE, 1998.

Views of teaching: implications for the didactic training of mathematics teachers. School mathematics teaching is an essential learning area in South African schools. Owing to persistent traditional positivist-based views and approaches, it still suffers from a variety of teaching-learning problems. Various national attempts have already been made to develop an effective teaching-learning program for school mathematics. Prominent researchers reveal that the failure of teaching-learning programmes often have to be attributed to the lack of an underlying grounded didactic theory. Therefore this study focused on the development of a grounded teaching-theoretical framework for school mathematics teaching. A further problem regarding school mathematics is that its teaching and learning traditionally are viewed from a narrow school subject disciplinary perspective. Therefore this study departed from a general didactic-theoretical perspective, creating the opportunity to approach and solve problems from a wider angle. A constructivist-based post-positivist view of effective teaching was developed, before entering the field of school mathematics. In this way an integrated ontologicalcontextual view of teaching was developed in terms of six identified ontological essential features, and their contextual coherence, namely: intention, teacher, leamer, interaction, content and context. Contrary to traditional positivist views, no causal relationship between teaching and learning was imposed, and teaching was not qualified in terms of learning products. Instead, teaching was characterised and qualified on ontological grounds, departing from the phenomenon itself. In this way the limitations of positivist process-product views of teaching could be identified, explained and overcome. Alternatively, a dynamic integrated view of teaching as a human act, directed at the facilitation of relevant and meaningful learning, was grounded and developed. Based on this general ontological-contextually based view, a specific ontologicalcontextual view of effective school mathematics teaching was grounded and developed. To this end a variety of prominent contemporary views of and approaches to school mathematics, and its teaching and learning, needed to be analysed in a critical way. According to this analysis school mathematics, and its teaching and learning should be viewed and approached from a constructivist-based dynamic change-and-grow perspective as human acts. In addition, it could have been proved that the perspective concerned can facilitate the treatment and solving of the currently experienced teaching-learning problems. This requires the reconsideration, from a similar perspective, of the current school mathematics curriculum, as well as the preservice didactic training of mathematics teachers. Specific implications of the developed ontological-contextual view of effective school mathematics teaching were identified, and practically tested in the corresponding preservice didactic training situation in the North West Province. Based on this an integrated model for the training concerned was formulated. It was found that the current training largely contributed to the continuation of traditional views of and approaches to school mathematics teaching, and its essential features. From the developed integrated ontological-contextual perspective definitive proposals regarding the transformation of school mathematics teaching and the corresponding didactic training were made and motivated. Further areas for investigation and development, resulting from this study, were identified, as well. This study aimed at investigating, and revealing for further exploration, the specific and broadening interaction between the general teaching and subject didactical fields and research, particularly in the two contexts of effective school mathematics teaching and the corresponding preservice didactical training. A particular attempt was made to accomplish this in a grounded and integrated way, to the benefit of both fields. / Thesis (PhD)--PU for CHE, 1998.

Thesis (M.Ed.)--North-West University, Potchefstroom Campus, 2010.

Thesis (M.Ed.)--North-West University, Potchefstroom Campus, 2010.