This project will provide support for teachers who have solid understanding of math as the goal for the students in their classrooms. Using the district adopted course of study as the foundation, this project will provide a curriculum supplement for the first grade.

The purpose of this study was to investigate the implementation process of the present and newly introduced instructional techniques in new elementary school mathematics curriculum in sixth grade through the reports of teachers, which has been piloted in some specific schools. Moreover, it was aimed to find out the effects of several parameters on implementation, like city where school teachers are working is located, teachers&amp / #8217 / gender, teaching experience and number of students in the classroom. In addition, difficulties faced by teachers during the implementation process and teachers&amp / #8217 / general opinions about the new curriculum are examined. The sample consisted of 80 teachers working at elementary schools located in Ankara, Istanbul, Bolu and Kocaeli (Izmit). The Teacher Questionnaire was administered to participants in the 2005-2006 academic year. In order to investigate the differences in Teacher Questionnaire&amp / #8217 / s sub-scales&amp / #8217 / scores (Learning-Teaching Process, Material Usage, Evaluation Techniques) of the participants with respect to city, gender, teaching experience, academic level and number of students in classes, separate Multivariate Analysis of Variance were run. The results of this study indicated that teachers&amp / #8217 / implementation of the new methods and techniques highlighted in the curriculum can be interpreted as at high level. MANOVA tests indicated that teachers&amp / #8217 / implementation of the new methods and techniques were not affected by number of students in the classrooms, gender and teaching experience. According to the results of the study, teachers&amp / #8217 / usage of recommended educational equipments was found as at average level and MANOVA tests indicated that teachers&amp / #8217 / usage of recommended educational equipments was affected by teaching experience but not by gender and number of students in the classroom. The results of this study also showed that teachers&amp / #8217 / implementation of new evaluation techniques was at average level and MANOVA tests indicated that teachers&amp / #8217 / implementation of new evaluation techniques were not affected by gender, teaching experience and number of students in the classrooms.

Statistical covariation refers to the correspondence of variation of two statistical measures that vary along numerical scales. Reasoning about covariation commonly involves translation processes among three representations: (1) numerical data, (2) graphical representations, and (3) verbal statements such as "taller people tend to be heavier". Two well-known translations are graph production and graph interpretation. Less well known is the process of speculative data generation, involving translating a verbal statement into a possible graph or other data representation. This study explored school students' reasoning involving these three translation skills through various tasks in surveys and interviews. Evidence is presented concerning methods to assess these skills, and concerning how students as young as third-grade can engage covariation tasks involving familiar contexts. Interviews involved prompting for cognitive conflict using responses from other students, and provided evidence of limited engagement of ideas that were slightly more sophisticated than their own responses. Responses for each of the three translation skills were described within assessment frameworks involving four levels - Nonstatistical, Single Statistical Aspect, Inadequate Covariation, and Appropriate Covariation - distinguished by the structure of combining correspondence and variation. Distinguishing features of the levels suggested stages of development that may inform instruction. For development from prior beliefs to data-based judgements, tasks involving counterintuitive covariation were designed to prompt students to engage data. For development from single variables to bivariate data, time was observed as a natural covariate, implicit in statements such as "it's getting hotter", with a connotation of order that supported pattern recognition of passing time being associated with corresponding change in a measured variable. For development from single cases to global trends, many students represented correspondence in a single pair of values, at the expense of representing variation. Tasks involving discrete data with few cases, and the use of case labels in responses, were observed to support the view of two data values each linked to the same corresponding case label. This consolidated view of correspondence supported consideration of additional bivariate cases involving variation. Students tended to articulate covariation using the language of comparison and change. Findings were related to issues in the historical development of coordinate graphing, to findings from educational research in statistics, algebra, science and psychology, and to recommendations within curriculum documents. Student representations of statistical covariation were observed to provide a window into statistical reasoning, and are advocated as a valuable basis for classroom discussions to help develop statistical literacy.

A articulação entre as necessidades da prática pedagógica da Educação Básica do litoral norte do RS e o currículo de um curso de Licenciatura em Matemática em uma Instituição de Ensino Superior - IES comunitária é o objetivo do presente trabalho. Constitui-se de uma pesquisa qualitativa, desenvolvida na linha de pesquisa: Universidade Teoria e Prática do PPG Educação UFRGS. Toma por base uma triangulação entre um estudo teórico inicial, a partir das leituras realizadas sobre a formação de professores, com fundamentação teórica emKrahe, Tardif, Sacristán, Fiorentini, dentre outros. No segundo momento, realiza-se a análise dos documentos Diretrizes Curriculares Nacionais, Lei 9.394/96, Diretrizes Nacionais para a Formação de Professores e as Diretrizes Curriculares para o curso de Matemática que orientam e organizam a estrutura de um curso de graduação, modalidade licenciatura. Inclui-se, também, a leitura dos documentos Projeto Político Pedagógico do Curso em análise e o Projeto Político Pedagógico da Instituição que constituiu o espaço de pesquisa. O terceiro momento, uma entrevista semiestruturada com os alunos matriculados na disciplina de Estágio Supervisionado em Matemática I, do Ensino Fundamental, séries finais. As reflexões construídas com os resultados desse estudo apontam no sentido de um curso de Matemática, com estrutura e organização curricular atualizada, que se aproxima das reais necessidades de ensino e de práticas pedagógicas circundantes no espaço escolar da educação básica daquela região. / The articulation between the necessities and the pedagogical practice in Basic Education of north shore in Rio Grande do Sul and the curriculum of a Teaching Degree in Mathematics in a Graduation Course Institution (comunity IES) is the objective of the present work. It is formed by a qualitative research, developed in research line: University and Practice of PPG Education UFRGS. It takes as its base a triangle in a initial theoretical study, from the reading made about teachers' formation with theoretical foundations in Krahe, Tardif, Sacristán, Fiorentini, among others. In a second part, there is an analysis of documents DiretrizesCurricularesNacionais (National Curriculum Directions), Law 9.394/96, National Directions to Teachers' Formation and the Curriculum Directions to Mathematics course that guide and organize the structure of a graduation course, teaching degree modality. There is also a reading of documents Pedagogical Political Project of Course in analysis and the Pedagogical Political Project of the Institution that constituted the research field. The third part is an interview partially structured with students of Supervised Internship in Mathematics I, Basic School, final grades. The reflection built up from the results of this study indicates a Mathematics course with up to date curriculum structure and organization, that approaches to real necessities of teaching and pedagogical practices present in school of basic education of this region.

A articulação entre as necessidades da prática pedagógica da Educação Básica do litoral norte do RS e o currículo de um curso de Licenciatura em Matemática em uma Instituição de Ensino Superior - IES comunitária é o objetivo do presente trabalho. Constitui-se de uma pesquisa qualitativa, desenvolvida na linha de pesquisa: Universidade Teoria e Prática do PPG Educação UFRGS. Toma por base uma triangulação entre um estudo teórico inicial, a partir das leituras realizadas sobre a formação de professores, com fundamentação teórica emKrahe, Tardif, Sacristán, Fiorentini, dentre outros. No segundo momento, realiza-se a análise dos documentos Diretrizes Curriculares Nacionais, Lei 9.394/96, Diretrizes Nacionais para a Formação de Professores e as Diretrizes Curriculares para o curso de Matemática que orientam e organizam a estrutura de um curso de graduação, modalidade licenciatura. Inclui-se, também, a leitura dos documentos Projeto Político Pedagógico do Curso em análise e o Projeto Político Pedagógico da Instituição que constituiu o espaço de pesquisa. O terceiro momento, uma entrevista semiestruturada com os alunos matriculados na disciplina de Estágio Supervisionado em Matemática I, do Ensino Fundamental, séries finais. As reflexões construídas com os resultados desse estudo apontam no sentido de um curso de Matemática, com estrutura e organização curricular atualizada, que se aproxima das reais necessidades de ensino e de práticas pedagógicas circundantes no espaço escolar da educação básica daquela região. / The articulation between the necessities and the pedagogical practice in Basic Education of north shore in Rio Grande do Sul and the curriculum of a Teaching Degree in Mathematics in a Graduation Course Institution (comunity IES) is the objective of the present work. It is formed by a qualitative research, developed in research line: University and Practice of PPG Education UFRGS. It takes as its base a triangle in a initial theoretical study, from the reading made about teachers' formation with theoretical foundations in Krahe, Tardif, Sacristán, Fiorentini, among others. In a second part, there is an analysis of documents DiretrizesCurricularesNacionais (National Curriculum Directions), Law 9.394/96, National Directions to Teachers' Formation and the Curriculum Directions to Mathematics course that guide and organize the structure of a graduation course, teaching degree modality. There is also a reading of documents Pedagogical Political Project of Course in analysis and the Pedagogical Political Project of the Institution that constituted the research field. The third part is an interview partially structured with students of Supervised Internship in Mathematics I, Basic School, final grades. The reflection built up from the results of this study indicates a Mathematics course with up to date curriculum structure and organization, that approaches to real necessities of teaching and pedagogical practices present in school of basic education of this region.

A articulação entre as necessidades da prática pedagógica da Educação Básica do litoral norte do RS e o currículo de um curso de Licenciatura em Matemática em uma Instituição de Ensino Superior - IES comunitária é o objetivo do presente trabalho. Constitui-se de uma pesquisa qualitativa, desenvolvida na linha de pesquisa: Universidade Teoria e Prática do PPG Educação UFRGS. Toma por base uma triangulação entre um estudo teórico inicial, a partir das leituras realizadas sobre a formação de professores, com fundamentação teórica emKrahe, Tardif, Sacristán, Fiorentini, dentre outros. No segundo momento, realiza-se a análise dos documentos Diretrizes Curriculares Nacionais, Lei 9.394/96, Diretrizes Nacionais para a Formação de Professores e as Diretrizes Curriculares para o curso de Matemática que orientam e organizam a estrutura de um curso de graduação, modalidade licenciatura. Inclui-se, também, a leitura dos documentos Projeto Político Pedagógico do Curso em análise e o Projeto Político Pedagógico da Instituição que constituiu o espaço de pesquisa. O terceiro momento, uma entrevista semiestruturada com os alunos matriculados na disciplina de Estágio Supervisionado em Matemática I, do Ensino Fundamental, séries finais. As reflexões construídas com os resultados desse estudo apontam no sentido de um curso de Matemática, com estrutura e organização curricular atualizada, que se aproxima das reais necessidades de ensino e de práticas pedagógicas circundantes no espaço escolar da educação básica daquela região. / The articulation between the necessities and the pedagogical practice in Basic Education of north shore in Rio Grande do Sul and the curriculum of a Teaching Degree in Mathematics in a Graduation Course Institution (comunity IES) is the objective of the present work. It is formed by a qualitative research, developed in research line: University and Practice of PPG Education UFRGS. It takes as its base a triangle in a initial theoretical study, from the reading made about teachers' formation with theoretical foundations in Krahe, Tardif, Sacristán, Fiorentini, among others. In a second part, there is an analysis of documents DiretrizesCurricularesNacionais (National Curriculum Directions), Law 9.394/96, National Directions to Teachers' Formation and the Curriculum Directions to Mathematics course that guide and organize the structure of a graduation course, teaching degree modality. There is also a reading of documents Pedagogical Political Project of Course in analysis and the Pedagogical Political Project of the Institution that constituted the research field. The third part is an interview partially structured with students of Supervised Internship in Mathematics I, Basic School, final grades. The reflection built up from the results of this study indicates a Mathematics course with up to date curriculum structure and organization, that approaches to real necessities of teaching and pedagogical practices present in school of basic education of this region.

Made available in DSpace on 2016-04-27T16:59:03Z (GMT). No. of bitstreams: 1 Ana Lucia Viveiros de Freitas.pdf: 7508140 bytes, checksum: c3be62a7bc0d9ef704133597c8662940 (MD5) Previous issue date: 2010-05-11 / Secretaria da Educação do Estado de São Paulo / This present work has as aim to build, discuss and evaluate the construction of a HLT related to the theme Isometries. We elected as questions of research: investigate through researches in the field of Mathematical Education, how could contribute for learning organization of Isometries and also analyse the performance of teachers of Mathematics related to activities of learning planning of Isometries in a compatible way with constructivist perspective of learning. It´s been based on Simon´s researches (1995) about elaborating Hypothetical Learning Trajectories (HLT). It´s been a qualitative research that involves two teachers of Mathematics in two public schools in São Paulo State and their work close to 58 students from High School second grade. Among the found results we selected: (a) the elaboration of a HLT is a task that is more suitable to researchers than teachers; (b) the usage of researches in Mathematical Education allows teachers to elaborate activities in order to face their difficulties, however it is necessary to think about how the teachers could access them; (c) the elaboration of activities which have constructivist perspectives aren´t enough in order to make it happen according to this aspect once the performance of the teacher has a decisive role in that process; (d) the usage of new technologies reinforce the understanding of concepts but it´s been a strategy still little used for the teachers / O presente trabalho tem por objetivo construir, discutir e avaliar a construção de uma THA a respeito do tema Isometrias. Elegemos como questões de pesquisa: investigar como compatibilizar perspectivas construtivistas de aprendizagem com o planejamento do ensino das Isometrias, investigar como as pesquisas, na área da Educação Matemática, contribuem para a organização do ensino deste tema e analisar a atuação de professores de Matemática, no que se refere às atividades de planejamento, de forma compatível com uma perspectiva construtivista de aprendizagem. Fundamenta-se nos trabalhos de Simon (1995) sobre a elaboração de Trajetórias Hipotéticas de Aprendizagem (THA). Trata-se de uma pesquisa qualitativa que envolve dois professores de Matemática de duas escolas públicas do Estado de São Paulo e sua atuação junto a 58 alunos da 2ª série do Ensino Médio. Dentre os resultados encontrados destacamos: (a) a elaboração de uma THA é uma tarefa mais condizente aos pesquisadores que aos professores; (b) a utilização de pesquisas em Educação Matemática permite aos professores elaborar atividades que possibilitem aos alunos enfrentar suas dificuldades, porém é preciso pensar em maneiras para que os professores tenham acesso a elas; (c) a elaboração de atividades que tenham perspectivas construtivistas não é suficiente para que a aprendizagem ocorra segundo esse aspecto, pois a atuação do professor tem papel decisivo neste processo; (d) o uso de novas tecnologias potencializa a compreensão de conceitos, mas é, ainda, uma estratégia pouco utilizada pelos professores