Made available in DSpace on 2016-07-27T13:53:43Z (GMT). No. of bitstreams: 1 MARCIA RODRIGUES LEAL.pdf: 1874990 bytes, checksum: 3b8d259177a870192c90ef64c559f801 (MD5) Previous issue date: 2015-09-03 / This dissertation analyzes the Didactics concept of the researches about Mathematics teachers formation in the Midwest of the Brazil. The problem that sought to clarify was thatDidactic concepts underlying theses and dissertations about mathematics teachers formation of the Education postgraduate programs, Education-Teaching of Sciencies and Mathematics, between 2005 and 2012. For the clarification of this question, it was realized a literature search, in the form knowledge state, which found twenty (20) works related to the subject of the investigation. The research was guided by the following questions: 1) What does the researchesreveal about the Didacticon the Mathematics teachers formation? 2) For what levels of education(kindergarten, elementary, middle or university) these researches and studies have turned and how they are distributed throughout the region in relation to universities, programs and researchlines? 3) What authors have been researched more often in the Midwest about this theme? 4) What theoretical and conceptual Didactic bases predominate as fundamentals of these studies and researches? It sought up to this research, theoretical support in the contributions of Libâneo (1996, 2010, 2013), Candau (1982, 1984, 2014), and LorenzatoFiorentini (2009), Fiorentini (2004, 2005), D Ambrosio (1993, 2000) and Davydov (1982, 1988). The constitution of the corpus of the research was carried out from the collections of databases of Graduate Programs in Education, Mathematics Education, Education - Teaching of Science and Mathematics. In analyzing the data were adopted guidelines Bogdan&Biklen (1994) to the categorization and systematization of data, outlining to the following themes: Didactic, formation of Mathematics teacher and Mathematics Education. The analysis pointed out the need to broaden the understanding of the Didactic conceptions in all the actions of mathematics teacher education process. Comprehension that it can bring out the didactic actions that are being developed to face the professiondilemmas, giving a new meaning, like this, the teacher s task. / Esta dissertação analisa a concepção de Didática das pesquisas sobre formação de professores de Matemática no Centro-Oeste do Brasil. O problema que se buscou esclarecer foi que concepções de Didática fundamentam as teses e dissertações sobre formação de professores de Matemática dos programas de pós-graduação em Educação, Educação Matemática, Educação-Ensino em Ciências e Matemática, entre 2005 e 2012. Para o esclarecimento dessa questão, realizou-se uma pesquisa bibliográfica, na modalidade estado do conhecimento, na qual encontraram-se 20 (vinte) trabalhos relacionados ao tema da investigação. A pesquisa foi norteada pelas seguintes questões: 1) O que revelam as pesquisas sobre as implicações da Didática na formação do professor de Matemática? 2) Para que níveis de ensino (infantil, fundamental, médio ou superior) essas pesquisas e estudos têm se voltado e como se distribuem pela região em relação às universidades, programas e linhas de pesquisas? 3) Que autores têm sido pesquisados com mais frequência na região Centro-Oeste a respeito dessa temática? 4) Que bases teórico-conceituais da Didática predominam como fundamentos desses estudos e pesquisas? Buscou-se, para essa pesquisa, aporte teórico nas contribuições de Libâneo (1996, 2010, 2013), Candau (1982, 1984, 2014), Lorenzato e Fiorentini (2009), Fiorentini (2004, 2005), D Ambrósio (1993, 2000) e Davydov (1982, 1988). A constituição do corpus da pesquisa foi realizada a partir dos acervos dos bancos de dados dos Programas de Pós-Graduação em Educação, Educação Matemática, Educação-Ensino em Ciências e Matemática. Na análise dos dados foram adotadas as orientações de Bogdan&Biklen (1994) para a categorização e sistematização dos dados, delineando-se às seguintes temáticas: Didática, formação do professor de Matemática e Educação Matemática. A análise apontou a necessidade de ampliar a compreensão das Concepções de Didática no conjunto das ações do processo de formação dos professores de Matemática. Compreensão essa que possa trazer à tona as ações didáticas que estão sendo desenvolvidas no enfrentamento dos dilemas da profissão, ressignificando, assim, a tarefa do professor.

<p>The objective of this study is to investigate a new pedagogical material called 4DFrame, how it is experienced by informants and how suitable it is in education - in particular mathematics. Socioculturalperspective has a central role in this study when students are given opportunities for linguistic and social interaction during the experiment with the new pedagogical material. The methodology for this study has been visits, interviews, and observations. The study reveals that there are different views on the didactic potential for mathematics of the new teaching material, though no conclusions can be drawn regarding whether this material is more or less suitable in teaching since no research have been found that compares this with other pedagogical materials. Both national and international studies show the need to find alternative and better ways to make mathematic education meaningful. One way to change and improve mathematics teaching may be to demonstrate the possibilities of working with new educational materials.The study highlights potential usages informants disclosed to me. When asked to compare with other educational materials the informants listed in positive terms the materials creative imagination stimulating properties and durability. The informants also indicated that students' mathematical creativity was developed by the playful way of making designs based on drawings, and look for patterns in their designs and also having a playful way to calculate angles, calculate and estimate material consumption.</p><p>During class evaluation gatherings students also sent their observations and reflections to classmates which contributed to new ideas. The group work integrated various substances which helped the students and included mathematics, Swedish language, technology, visual and IT technologies in their lessons. Preschools received material with joy, curiosity, and excitement. The children began to play and role play when they were presented with the new teaching material.</p><p>The disadvantages of the informants said were that the material was expensive to buy, the boxes the material was stored in were too small and that there were no Swedish instructions. Some respondents also felt that it was difficult to keep track of all the small parts. The majority of the respondents, even those who also were critical, however, stated that the new teaching material is suitable to teach geometry.</p>

The objective of this study is to investigate a new pedagogical material called 4DFrame, how it is experienced by informants and how suitable it is in education - in particular mathematics. Socioculturalperspective has a central role in this study when students are given opportunities for linguistic and social interaction during the experiment with the new pedagogical material. The methodology for this study has been visits, interviews, and observations. The study reveals that there are different views on the didactic potential for mathematics of the new teaching material, though no conclusions can be drawn regarding whether this material is more or less suitable in teaching since no research have been found that compares this with other pedagogical materials. Both national and international studies show the need to find alternative and better ways to make mathematic education meaningful. One way to change and improve mathematics teaching may be to demonstrate the possibilities of working with new educational materials.The study highlights potential usages informants disclosed to me. When asked to compare with other educational materials the informants listed in positive terms the materials creative imagination stimulating properties and durability. The informants also indicated that students' mathematical creativity was developed by the playful way of making designs based on drawings, and look for patterns in their designs and also having a playful way to calculate angles, calculate and estimate material consumption. During class evaluation gatherings students also sent their observations and reflections to classmates which contributed to new ideas. The group work integrated various substances which helped the students and included mathematics, Swedish language, technology, visual and IT technologies in their lessons. Preschools received material with joy, curiosity, and excitement. The children began to play and role play when they were presented with the new teaching material. The disadvantages of the informants said were that the material was expensive to buy, the boxes the material was stored in were too small and that there were no Swedish instructions. Some respondents also felt that it was difficult to keep track of all the small parts. The majority of the respondents, even those who also were critical, however, stated that the new teaching material is suitable to teach geometry.

Många elever kämpar med matematikämnet i skolan. Dessa elever får inte alltid rätt stöttning vid rätt tid vilket kan resultera i att eleverna inte klarar grundskolan. Skolan har ett kompensatoriskt uppdrag och har en skyldighet att snabbt identifiera eleven i behov och sätta in rätt stödinsatser. Det finns olika former av stödinsatser där en kallas för extra anpassning. Det är en förhållandevis ny reform och lärare känner sig osäkra kring vad den egentligen innebär. Syftet med arbetet är således att bidra med kunskap om skolors kvalitetsarbete med extra anpassningar i matematik. Insamlingsmetoden som använts för att uppfylla syftet är dokumentinsamling samt intervjuer med verksamma lärare. Specialpedagogiska perspektiv har använts för att analysera resultatet. Slutsatserna av studien antyder att skolornas kvalitetsarbete med extra anpassningar i matematik skiljer sig åt beroende på vilka svårigheter eleverna anses ha. / Many students battle with math in school. These students don’t always get the right aid in time which can result in them not graduating from elementary school. The school has a compensatory commitment and an obligation to identify the student in needs quickly and introduce the required aid. There are various forms of support, one is called additional adjustments. It is a comparatively new reform and teachers feel uncertain about what the aid should actually entail. The purpose of this study is therefore to contribute with knowledge about schools quality work with additional adjustments in mathematics. Documents have been collected and interviews with active teachers have been performed to fulfil the purpose. Perspectives on special pedagogy have been used to analyze the result. Conclusions of the study suggest that the schools quality work with additional adjustments in mathematics differ depending on which difficulties the students are believed to have.

Made available in DSpace on 2016-04-27T16:58:30Z (GMT). No. of bitstreams: 1 Umberto Almeida Silva.pdf: 1584741 bytes, checksum: a2c68c9c7f4bdcdea02347ab68db1fef (MD5) Previous issue date: 2007-10-08 / Secretaria da Educação do Estado de São Paulo / The purpose of this work is to investigate the approach of function adopted in current didactic books of the Basic Education, seeking to verify which are the strategies that the authors of these books use to present the notion of function, if the relation discrete/continuous is evident in the construction of graphs, and if the conversion between the registers graphical and algebraic occurs in both senses. In order to do this, we carried out a qualitative analysis among five current didactic books of the basic education. We chose the didactic book as the primary data source for our inquiry, among the various written registers of knowledge, because it is one of the most important instruments mobilized in the teaching and learning process in Brazilian educational scene. The research is based on the theory of the semiotic representation registers by Raymond Duval, stressing the importance of visual variables identification in the sketch of curves, in the conversion between graphical and algebraic registers. Obtained results show that most of analyzed books adopts the construction of the function concept and the exploration of the relation of dependence between largenesses by problems resolution as the starting point. Another important aspect that we observe in analyzed books is the care with the context and the interdisciplinary. In the majority of books, many activities show significant situations that value social behavior and the connections with other areas of knowledge. On the other hand, we evidence that, in the majority of analyzed books, the continuous/discrete relation is not satisfactorily explicited. It was also observed that, in the majority of books, the conversion between graphical and algebraic registers does not occur in both directions, and that pertinent visual variables are generally not taken in account, in the sketch of graphs / Este trabalho teve como objetivo investigar a abordagem de função adotada em livros didáticos atuais da Educação Básica, buscando verificar quais são as estratégias utilizadas pelos autores desses livros para apresentar a noção de função, se a relação discreto/contínuo fica evidente na construção de gráficos, e se a conversão entre os registros gráfico e algébrico ocorre nos dois sentidos. Para isso, realizamos uma análise qualitativa em cinco livros didáticos atuais da Educação Básica. Escolhemos o livro didático como fonte primária de dados para nossa investigação, entre os diversos registros textuais do saber, por ele ser um dos instrumentos mais importantes mobilizado no processo de ensino e aprendizagem no cenário educacional brasileiro. A pesquisa fundamentou-se na teoria dos Registros de Representação Semiótica de Raymond Duval, ressaltando a importância da identificação das variáveis visuais pertinentes no esboço de curvas, na conversão entre os registros gráfico e algébrico. Os resultados obtidos mostram que, a maioria dos livros analisados adota como ponto de partida para a construção do conceito de função a exploração da relação de dependência entre grandezas por meio da resolução de problemas. Outro aspecto importante que observamos nos livros analisados foi o cuidado com a contextualização e a interdisciplinaridade. Na maioria dos livros, muitas atividades são apresentadas a partir de situações significativas que valorizam as práticas sociais, as articulações internas à própria Matemática e as conexões com outras áreas do conhecimento. Por outro lado, constatamos que na maioria dos livros analisados a relação discreto/contínuo não é explicitada satisfatoriamente. Observou-se também que, na maioria dos livros, a conversão entre os registros gráfico e algébrico não ocorre nos dois sentidos, e que as variáveis visuais pertinentes geralmente não são levadas em conta, no esboço de gráficos

The purpose of this study is to visualise the challenges that student teachers face when adapting mathematical tasks to different levels of difficulty. Specifically, the study aims to explore which aspects of mathematics didactic knowledge are expressed through the mathematics tasks. Examination tasks from previous mathematics courses were selected and analyzed based on a qualitative content analysis with the MKT framework, Mathematical Knowledge for Teaching (Ball et al., 2008). The students' adaptations can be described through five different themes: linguistic-, visual-, structural- and mathematical adaptations and mistakes. When the themes were analyzed using the MKT framework, it emerged that the students show different aspects of mathematics didactic knowledge and that there is a need to develop certain aspects further. There is a greater variation in the adaptations when the students simplify the task compared to when they make it more difficult. The result also shows that the students need to be given the opportunity to acquire deeper knowledge about the structure and function of the curriculum in order for this aspect of knowledge to develop further. A large percentage of the students make various mistakes in their adaptations. The mistakes have been linked to the students' mathematical content knowledge. Some of the mistakes indicate that the lack of content knowledge also affects and limits the students' mathematics didactic knowledge. An implication of the result is that teachers in the mathematics courses need to consider and address these aspects in future teaching so that the students are given the opportunity to further develop their content knowledge as well as their mathematics didactic knowledge. / Studiens syfte är att synliggöra vilka utmaningar lärarstudenter möter vid anpassning av matematikuppgifter till olika svårighetsgrader. Specifikt syftar studien till att studera vilka olika matematikdidaktiska kunskaper som uttrycks genom anpassningarna av matematikuppgifterna. Studentinlämningar av en genomförd examinationsuppgift från tidigare matematikkurser har valts ut och analyserats med en kvalitativ innehållsanalys där MKT-ramverket, Mathematical Knowledge for Teaching (Ball m.fl., 2008) utgör den teoretiska ramen. Studiens resultat visar att studenternas anpassningar speglas av fem olika teman: språkliga-, visuella-, strukturella- och matematiska anpassningar samt misstag. När de olika temana analyserades med hjälp av MKT-ramverket, så framkom att studenterna visar olika aspekter av matematikdidaktiska kunskaper och att det finns behov av att utveckla vissa aspekter vidare. Det finns en större variation i anpassningarna när studenterna förenklar uppgiften jämfört med när de försvårar den. Resultatet visar också att studenterna behöver få möjlighet att tillägna sig djupare kunskaper om kursplanens uppbyggnad och funktion för att denna aspekt av kunskap ska utvecklas ytterligare. En stor andel av studenterna gör olika misstag i sina anpassningar. Misstagen  har kopplats till studenternas matematiska ämneskunskaper. Vissa av misstagen indikerar att den bristande ämneskunskapen även påverkar och begränsar studentens matematikdidaktiska kunskaper. En implikation är att undervisande lärarutbildare i matematikkurserna behöver beakta och behandla dessa aspekter i kommande undervisning så att studenter ges möjlighet att vidareutveckla såväl sina ämneskunskaper som sina matematikdidaktiska kunskaper.