Made available in DSpace on 2016-04-27T16:57:22Z (GMT). No. of bitstreams: 1 Dermeval Santos Cerqueira.pdf: 1428607 bytes, checksum: b7f09ba98d9d9595ed1bcf97a5797532 (MD5) Previous issue date: 2012-12-06 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This qualitative research at the doctoral level, is within the context of comparative studies on organization and curriculum development in the field of mathematics education, in Brazil and Chile. The purpose of this study is to investigate evidence on the impact of the results of research in mathematics education in the official documents of these countries, drawn from 90s of XX century. The documentary analysis shows that these countries have suffered influences of research findings in the area of mathematics education, including in official documents orientations favoring problem solving, contextualization, the didactic value of history of mathematics, concepts of teaching mathematics, constructivism, the use of technology, especially the use of calculator. Field research allows us to understand the views of different education professionals on the design and development of curricula prescribed, points to the difficulties in achieving the curriculum practiced in public education systems, weave recommendations that must be included in the teacher's work and highlights challenges to implementing the prescribed curriculum / Esta pesquisa qualitativa, em nível de doutorado, insere-se no contexto dos estudos comparativos sobre organização e desenvolvimento curricular, na área de Educação Matemática, no Brasil e no Chile. A finalidade desse estudo é levantar indícios sobre os impactos dos resultados de pesquisa em Educação Matemática nos documentos oficiais desses países, elaborados a partir dos anos 90 do século XX. A análise documental mostra, que Brasil e Chile sofreram influências dos resultados de pesquisas da área de Educação Matemática, inserindo nos documentos oficiais orientações, privilegiando a resolução de problemas, a contextualização, o valor didático da história da matemática, conceitos da didática da matemática, concepção construtivista e o uso de tecnologias, em especial o emprego da calculadora. A pesquisa de campo nos permite perceber os pontos de vistas dos diferentes profissionais de Educação sobre a concepção e elaboração dos currículos prescritos, apontando as dificuldades na consecução dos currículos praticados nos sistemas educativos públicos, que por sua vez tecem recomendações que devem ser inseridas no trabalho do professor, ressaltando desafios para implementação dos currículos prescritos

Made available in DSpace on 2016-04-27T16:57:23Z (GMT). No. of bitstreams: 1 Marcelo de Oliveira Dias.pdf: 1918762 bytes, checksum: fbbd23961ed4a18a526e439c37c5782d (MD5) Previous issue date: 2012-12-07 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This PhD thesis aims to develop comparative studies of mathematics curricula, prescribed and given in Brazil and Paraguay, duly organized and implemented from the 90s. Accordingly, in the chapters that follow is intended to identify the influences of research findings in mathematics education in the official documents of these countries. There is also exposure to common and specific aspects of the curricula of mathematics organized in Brazil and Paraguay, with regard to compulsory education. Nor are proposed to identify similarities and differences between the two systems, as well as relevant information evidencing compliance or rejection of mathematics teachers to curriculum guidelines prescribed in the official documents and data relating to curricula that actually become effective in the classroom. In order to carry out the research we adopted the methodology of comparative education, which is an analytical tool for the study of education systems. The thesis presents some contributions to be reflected by our community of mathematics education and educational managers of public policies / A presente tese de Doutorado tem como objetivo desenvolver estudos comparativos de currículos de Matemática, prescritos e apresentados no Brasil e no Paraguai, devidamente organizados e implementados a partir da década de 90. Nesse sentido, nos capítulos que se seguem há a intenção de identificação das influências de resultados de pesquisas em Educação Matemática nos documentos oficiais desses países. Há também a exposição de aspectos comuns e especificidades dos currículos de Matemática organizados no Brasil e no Paraguai, no que se refere à educação obrigatória. Tampouco, propõem-se a identificar semelhanças e diferenças entre os dois sistemas, assim como informações pertinentes que evidenciem a adesão ou a rejeição dos professores de Matemática às orientações curriculares prescritas nos documentos oficiais e dados referentes aos currículos que realmente se efetivam nas salas de aula. No intuito de realizar a investigação foi adotada a metodologia da Educação Comparada, que é um instrumento analítico para o estudo de sistemas educativos. A tese apresenta algumas contribuições para serem refletidas por nossa comunidade de Educação Matemática e por gestores das políticas públicas educacionais

Made available in DSpace on 2016-04-27T16:57:31Z (GMT). No. of bitstreams: 1 Maria do Carmo Salgado.pdf: 4233888 bytes, checksum: d579b2a53a6648a175102026ea7f8287 (MD5) Previous issue date: 2014-06-09 / Conselho Nacional de Desenvolvimento Científico e Tecnológico / Our research aims to identify and analyze the different meanings that the terms Literacy and Mathematics Literacy appear in the Mathematics Education literature. From these notions, we aimed to: identify their presence in prescribed curricula and curricular materials presented; identify competences related to the use of numerical concepts and skills focusing on some critical capacity regarding its use; characterizing content and basic procedures that have involved the ability to use mathematical knowledge and procedures in real contexts. This study is guided by the following question-guideline: What are the skills numerical concepts presented by the graduating students of Basic Education? Seeking to answer it, we have organized our research in two complementary phases. At first we have conducted an exploratory study involving literature review and document analysis. The documents analyzed were from the National Curriculum Parameters II Elementary Education and Secondary Education, as well as two collections of textbooks referring to these two levels of education. In the second phase, we have developed a semi-structured interview guide. The subjects in this phase consisted of High School students from São Paulo district. For the understanding of the terms Literacy and Mathematics Literacy and their presence in the curriculum for Primary and Secondary Education, we have taken as reference the work of researchers such as: D'Ambrosio, Ole Skovsmose, Merrilyn Goos, Vince Geiger and Shelley Dole, João Pedro da Ponte, Lynn Arthur Steen and Joaquín Giménez. From these studies, we have concluded that although the approaches of different authors have specific nuances, they have common elements in order to translate into skills to be developed/enhanced by humans. Upon review of the documents, we have noticed that, when proposing and defending proposals titled as Mathematics literacy, numeracy, literacy, among others, the authors of textbooks have addressed learning situations that little have converged with the concepts presented. We have identified through interviews that most students can perceive the presence of Mathematics and some of its concepts in their daily lives. In relation to the numerical competence situations, it was found that generally students solve problems using mathematical operations but concerning the critical capacity of students, we have observed some uncertainty on making process decision in solving the proposed situations / Nesta pesquisa tivemos por objetivo identificar e analisar as diferentes acepções com que os termos Literacia e Alfabetização Matemática aparecem na literatura em Educação Matemática. A partir dessas concepções, objetivamos: identificar sua presença em currículos prescritos e apresentados em materiais curriculares; identificar competências relacionadas ao uso de conceitos numéricos e focalizar a utilização desses conceitos envolvendo também a capacidade crítica relativamente ao seu uso; caracterizar conhecimentos e procedimentos básicos que envolvem a capacidade de usar conhecimentos e procedimentos em contextos reais. Este estudo pauta-se pela seguinte questão-diretriz: Quais competências relacionadas ao uso de conceitos numéricos apresentam os alunos egressos da Educação Básica? Em busca de respondê-la, organizamos nossa pesquisa em duas fases complementares. Na primeira, realizamos um estudo exploratório envolvendo levantamento bibliográfico e análise documental. Os documentos analisados foram os Parâmetros Curriculares Nacionais do Ensino Fundamental II e do Ensino Médio, além de duas coleções de livros didáticos referentes a esses dois níveis de ensino. Na segunda fase, elaboramos um roteiro de entrevista semiestruturada. Os sujeitos da pesquisa nessa fase foram constituídos por alunos egressos do Ensino Médio de escolas paulistanas. Para a compreensão dos termos Literacia e Alfabetização Matemática, e sua presença nos currículos do Ensino Fundamental e do Ensino Médio, tomamos como referência os trabalhos dos pesquisadores Ubiratan D Ambrosio, Ole Skovsmose, Merrilyn Goos, Vince Geiger e Shelley Dole, João Pedro da Ponte, Lynn Arthur Steen e Joaquín Giménez. A partir desses estudos, concluímos que, embora as abordagens de diferentes autores tenham nuances específicas, elas possuem elementos comuns no sentido de se traduzirem em competências a serem desenvolvidas/potencializadas pelo ser humano. Mediante análise dos documentos, percebemos que, ao proporem e defenderem propostas intituladas como de alfabetização matemática, numeracia, literacia, entre outras, os autores de livros didáticos abordam situações de aprendizagem que pouco convergem com as concepções apresentadas. Foi possível identificar com as entrevistas que a maioria dos alunos consegue perceber a presença da Matemática e algumas de suas ideias presentes em seu cotidiano. Com a proposição das situações relacionadas às competências numéricas, foi possível constatar que geralmente os alunos resolvem os problemas recorrendo a técnicas operatórias, e, no que diz respeito à capacidade crítica dos alunos, observamos certa insegurança por parte deles na tomada de decisões no processo de resolução das situações propostas

This study establishes a framework for the practice and the acquisition of mathematical knowledge. The natures of mathematics and rituals/ritual-like activities are examined compared and contrasted. Using a four-fold typology of core features, surface features, content features and functions of mathematics it is established that the nature of mathematics, its practice and the acquisition is typologically similar to that of rituals/ ritual-like activities. The practice of mathematics and its acquisition can hence be metaphorically compared to that of rituals/ritual-like activities and be enriched by the latter. A case study was conducted using the ritual metaphor at two levels to introduce and teach a topic within the current year eleven West Australian Geometry and Trigonometry course. In the first level, instructional materials were written using a ritual-like mentor-exemplar, exposition, replicate and extrapolate model (through the use of specially organised examples and exercises) based on the approaches of several mathematics text book authors as they attempted to introduce a topic new to the West Australian mathematics curriculum. / In the second level, the classroom instruction was organised using a ritual-like pattern with direct exemplar mentoring and exposition by the teacher followed by replication and extrapolation from the students. Embedded within this ritual-like process was the personal (and communal) engagement with each student vis-a-vis the establishment of the relationships between the referent concepts, procedures and skills. This resulted in the emergence of solution behaviours appropriate to specific tasks imitating and extrapolating the mentored solution behaviours of the teacher. In determining the extent to which the instruction, mentoring and acquisition was successful, each student's solution 'behaviour was compared "topographically" with the expected solution behaviour for the task at various critical points to determine the degree of congruence. Marks were allocated for congruence (or removed for incongruence), hence a percentage of congruence was established. The ritual-like model for the teaching and acquisition of mathematical knowledge required agreement with all stake-holders as to the purpose of the activity, expert knowledge on the part of the teacher, and within a classroom context requires students to possess similar levels of prerequisite mathematical knowledge. / This agreement and the presence of an expert practitioner, provides the affirmation and security that is inherent in the practice of rituals. The study concluded that there is evidence to suggest that some aspects of mathematical ability are wired into the cognitive structures of human beings providing support to the hypothesis that some aspects of mathematics are discovered rather than created. The physical origin of mathematical abilities and activities was one of the factors used in this study to establish an isomorphism between the nature and practice of mathematics with that of rituals. This isomorphism provides the teaching and learning of mathematics with a more robust framework that is more attuned to the social nature of human beings. The ritual metaphor for the teaching and learning of mathematics can then be used as a framework to determine the relative adequacies of mathematics curricula, mathematics textbooks and teaching approaches.

The purpose of this study was to investigate the views of upper elementary mathematics teachers and students about the use of manipulatives in teaching and learning mathematics. This study is a qualitative case study. The participants of this study were four elementary mathematics teachers in a private school and their 6th, 7th, and 8th grade students. The data were collected through one-to-one interviews, observations and analyzing documents consisting of annual plan, daily plan, notebooks of students, and the field note that the researcher kept throughout the study. This study revealed that although all the teachers advocate the use of manipulatives in teaching mathematics, they use traditional teaching techniques in their classes. They mentioned different factors affecting their use of manipulatives in teaching mathematics such as not knowing how to use them, grade level, availability of materials, time constraints, students&rsquo / reactions (seeing them as a toy or not being accustomed to them), school administration, classroom management, not finding materials appropriate for the subject being taught and classroom size. In fact, these are the factors that are seen on the surface level. This study indicated that even when teachers are provided with training about the use of manipulatives, supported by the school administration, and provided with manipulatives, the use of manipulatives is largely determined by their views / beliefs about the nature of mathematics, how students can learn mathematics, the effect of manipulatives and their knowledge in using them. Students seemed to like learning by using manipulatives. When conditions were arranged for learning, they were willing to learn through manipulatives.

The purpose of this paper is to compare curriculum documents for K-12 education from the state of North Carolina from two time periods, 1920s and 2003. The historical development of the mathematics curriculum in North Carolina provides a snapshot of the shifts in mathematics teaching and learning. North Carolina, a state in the southeast of the United States, has had a statewide standard course over a period spanning more than eighty years. A document analysis of printed curriculum standards from allows a description of the mathematics concepts and tasks that were expected of students in those years. The analysis revealed stark contrasts in the focus of mathematics from a very computational emphasis to one of problem solving. The analysis also highlighted the understanding of algebraic concepts and ideas as an essential outcome of current mathematics programs.

This study was conducted to analyse aspects of mental computation within primary school mathematics curricula and to formulate recommendations to inform future revisions to the Number strand of mathematics syllabuses for primary schools. The analyses were undertaken from past, contemporary, and futures perspectives. Although this study had syllabus development in Queensland as a prime focus, its findings and recommendations have an international applicability. Little has been documented in relation to the nature and role of mental computation in mathematics curricula in Australia (McIntosh, Bana, & Farrell, 1995,p. 2), despite an international resurgence of interest by mathematics educators. This resurgence has arisen from a recognition that computing mentally remains a viable computational alternative in a technological age, and that the development of mental procedures contributes to the formation of powerful mathematical thinking strategies (R. E. Reys, 1992, p. 63). The emphasis needs to be placed upon the mental processes involved, and it is this which distinguishes mental computation from mental arithmetic, as defined in this study. Traditionally, the latter has been concerned with speed and accuracy rather than with the mental strategies used to arrive at the correct answers. In Australia, the place of mental computation in mathematics curricula is only beginning to be seriously considered. Little attention has been given to teaching, as opposed to testing, mental computation. Additionally, such attention has predominantly been confined to those calculations needed to be performed mentally to enable the efficient use of the conventional written algorithms. Teachers are inclined to associate mental computation with isolated facts, most commonly the basic ones, rather than with the interrelationships between numbers and the methods used to calculate. To enhance the use of mental computation and to achieve an improvement in performance levels, children need to be encouraged to value all methods of computation, and to place a priority on mental procedures. This requires that teachers be encouraged to change the way in which they view mental computation. An outcome of this study is to provide the background and recommendations for this to occur. The mathematics education literature of relevance to mental computation was analysed, and its nature and function, together with the approaches to teaching, under each of the Queensland mathematics syllabuses from 1860 to 1997 were documented. Three distinct time-periods were analysed: 1860-1965, 1966-1987, and post-1987. The first of these was characterised by syllabuses which included specific references to calculating mentally. To provide insights into the current status of mental computation in Queensland primary schools, a survey of a representative sample of teachers and administrators was undertaken. The statements in the postal, self-completion opinionnaire were based on data from the literature review. This study, therefore, has significance for Queensland educational history, curriculum development, and pedagogy. The review of mental computation research indicated that the development of flexible mental strategies is influenced by the order in which mental and written techniques are introduced. Therefore, the traditional written-mental sequence needs to be reevaluated. As a contribution to this reevaluation, this study presents a mental-written sequence for introducing each of the four operations. However, findings from the survey of Queensland school personnel revealed that a majority disagreed with the proposition that an emphasis on written algorithms should be delayed to allow increased attention on mental computation. Hence, for this sequence to be successfully introduced, much professional debate and experimentation needs to occur to demonstrate its efficacy to teachers. Of significance to the development of efficient mental techniques is the way in which mental computation is taught. R. E. Reys, B. J. Reys, Nohda, and Emori (1995, p. 305) have suggested that there are two broad approaches to teaching mental computation,,Ya behaviourist approach and a constructivist approach. The former views mental computation as a basic skill and is considered an essential prerequisite to written computation, with proficiency gained through direct teaching. In contrast, the constructivist approach contends that mental computation is a process of higher-order thinking in which the act of generating and applying mental strategies is significant for an individual's mathematical development. Nonetheless, this study has concluded that there may be a place for the direct teaching of selected mental strategies. To support syllabus development, a sequence of mental strategies appropriate for focussed teaching for each of the four operations has been delineated. The implications for teachers with respect to these recommendations are discussed. Their implementation has the potential to severely threaten many teachersf sense of efficacy. To support the changed approach to developing competence with mental computation, aspects requiring further theoretical and empirical investigation are also outlined.

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No. of bitstreams: 1 PDF - Gisane Fagundes Rodrigues.pdf: 1625838 bytes, checksum: 46e6d0df4dd437a87170b81f9ceee8ab (MD5) Previous issue date: 2016-09-29 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This dissertation aimed to analyze the history of mathematics as a discipline and its importance in training mathematics professors at the State University of Paraíba (UEPB), the Federal University of Campina Grande (UFCG) and the Federal Institute of Education, Science and Technology of Paraíba (IFPB) located in Campina Grande and the Federal University of Paraíba (UFPB), in João Pessoa. The qualitative research, since it seeks the gist of the phenomenon investigated in all its dimensions and processes, is supported by bibliographical and documentary study. Given the importance of mathematics in teaching practice as the main component for initial teacher´s education, it takes for examination the following documents: the National Curriculum Guidelines, which establish the rules for the creation of the Educational Project Course and in particular cases a Plan Course provided by the lecturer professor of the discipline the history of mathematics. Therefore, the guidelines of the discipline was analyzed in details, but it also caused us to identify in practice the design of teacher educators and students in training on the History of Mathematics discipline and, above all, the importance of the history of mathematics in the development of teachers training. The paper interviewed four teachers and three students of the quoted institutions. From the analysis of interviews, we built two categories that emerged from the conversations: The history of mathematics as a contribution to the training of teachers and the importance of mathematics in history for teacher training. We understand that the discipline is important for the essentiality of bringing the light of the classroom discussions knowledge about what is mathematics from a historical point of view and how it was developed throughout time. The major evidences after the analysis of documents and interviews was the difference between the proposal of the written curriculum and the one implemented in the classroom by teachers, indicating that there is an attempt of students training to work in their future activities practices in which they are linked to the history of mathematics. / Esta dissertação teve como objetivo analisar a disciplina de História da Matemática e sua importância na formação do professor de matemática na Universidade Estadual da Paraíba (UEPB), na Universidade Federal de Campina Grande (UFCG) e no Instituto Federal de Educação, Ciência e Tecnologia da Paraíba (IFPB) todos na cidade de Campina Grande e na Universidade Federal da Paraíba (UFPB), em João Pessoa. A pesquisa de natureza qualitativa, por sua condição de captar a essencialidade do fenômeno investigado em toda a sua dimensão e processo, teve apoio em estudo bibliográfico e documental. Tendo em vista a importância do currículo da Licenciatura em Matemática como componente principal para a formação inicial de professores tomamos para análise os seguintes documentos: as Diretrizes Curriculares Nacionais, que determinam as normas para a criação do Projeto Pedagógico do Curso e em casos particulares o Plano de Curso disponibilizado pelo professor ministrante da disciplina de História da Matemática. Para tanto, a ementa da referida disciplina foi analisada de forma minuciosa, como também nos provocou identificar na prática a concepção de professores formadores e alunos em formação sobre a disciplina de História da Matemática e, sobretudo, a importância da História da Matemática na formação do professor. Participaram das entrevistas quatro professores e três alunos das Instituições pesquisadas. A partir das análises das entrevistas construímos duas categorias que emergiram das falas, que são elas: a História da Matemática como contribuição para a formação do professor e a importância da História da Matemática para a formação do professor. Entendemos que a disciplina é importante pela essencialidade de trazer a luz das discussões em sala de aula um conhecimento sobre o que é matemática do ponto de vista histórico e como ela se desenvolveu ao longo do tempo. As principais evidências após as análises em documentos e nas entrevistas realizadas foi à diferença entre a proposta do currículo escrito e a do currículo implementado em sala de aula pelos professores, indicando que há uma tentativa de alunos em formação trabalhar em suas práticas futuras atividades em que estejam ligadas a História da Matemática.

Esta tese tem por objetivo investigar, refletir a respeito e analisar criticamente a produção curricular oficial para o Ensino Médio no Brasil, procurando identificar e discutir significados, limites e possibilidades de um currículo de Matemática que tenha como pressuposto responder às necessidades objetivas, socioeconômicas e culturais do estudante. Por hipótese, considera inadequado o fato de o Ensino Médio ser igual para todo estudante, em especial os conteúdos curriculares para o ensino de Matemática, considerando que, ao final deste ciclo, o egresso poderá prosseguir ou não seus estudos, seja em cursos profissionalizantes ou no Ensino Superior. Para realizar esta pesquisa utilizaram-se, como suporte teórico, estudos do campo da educação e da educação matemática, em particular os que tratam da temática do currículo, além de documentos emitidos por organismos oficiais da educação, considerando-se os conceitos de reforma educacional e de currículo como artefatos históricos de construção social a partir de disputas e de relações de poder para o estabelecimento de regimes de verdades. A análise documental objetivou a obtenção de dados qualitativos referentes à formulação, implementação e comparação de currículos, com o intuito de verificar o modo de equacionamento do Ensino Médio nos países estudados Brasil, Portugal, Espanha, França, Inglaterra e Estados Unidos da América. Dentre as conclusões desta tese, destaca-se que, exceto o Brasil, todos os demais países analisados apresentam ao menos três percursos formativos diferentes, de modo a aumentar o interesse dos jovens nos estudos secundários superiores, elevar o número de concluintes e evitar a evasão escolar. Em relação ao currículo de Matemática, verifica-se uma variedade significativa de opções, e uma forte ênfase no uso de tecnologias da informação e da comunicação. / This thesis aims to investigate, reflect and analyse critically the production official curriculum for secondary education in Brazil, seeking to identify and discuss meanings, limits and possibilities of a mathematics curriculum that has as assumption to answering the student objective, socioeconomic and cultural needs. By hypothesis, considers inadequate the fact that secondary education be the same for all students, especially the mathematics curriculum, considering that at the end of this cycle, the graduate can continue his studies or not, whether in vocational courses or in upper secondary education. To conduct this research were used as support theoretical studies of the education field and the mathematics education, particularly those dealing with themes of the curriculum, as well as documents issued by official education departments, considering the concepts of educational reform and curriculum as historical social construction artifacts from disputes and power relations to the establishment of truth regimes. Document analysis aimed to obtain qualitative data regarding the formulation, implementation and comparison of curriculum, in order to determine the mode of addressing the secondary education in countries studied Brazil, Portugal, Spain, France, England and the United States of America. Among the conclusions of this thesis, it is notable that, except in Brazil, all other countries surveyed have at least three different pathways in order to increase in young people interest in upper secondary education, increase the number of graduates and preventing circumvention school. In relation to the mathematics curriculum, there is a significant variety of options, and a strong emphasis on using information technology and communication.

Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-09-27T18:31:21Z No. of bitstreams: 1 tatianegoncalvesmoraes.pdf: 3568679 bytes, checksum: c76f3116a9ab930c37e5db6d547b89d9 (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-09-28T14:11:51Z (GMT) No. of bitstreams: 1 tatianegoncalvesmoraes.pdf: 3568679 bytes, checksum: c76f3116a9ab930c37e5db6d547b89d9 (MD5) / Made available in DSpace on 2017-09-28T14:11:51Z (GMT). No. of bitstreams: 1 tatianegoncalvesmoraes.pdf: 3568679 bytes, checksum: c76f3116a9ab930c37e5db6d547b89d9 (MD5) Previous issue date: 2017-02-21 / A presente dissertação foi desenvolvida como parte de nossos trabalhos no âmbito do Mestrado Profissional em Gestão e Avaliação da Educação (PPGP) da Universidade Federal de Juiz de Fora (UFJF). O caso de gestão discute de que forma o Centro de Políticas Públicas e Avaliação da Educação da Universidade Federal de Juiz de Fora (CAEd/UFJF), contratado pela Secretaria de Educação do Estado de Goiás, pode contribuir para, com base nas análises estatísticas e pedagógicas de itens de matemática do 3º ano do ensino médio, por ele realizadas, fornecer aos profissionais da educação goiana recomendações para que estes empreendam esforços no intuito de fortalecer os pontos fortes e corrigir possíveis fragilidades no ensino de Matemática. Em termos metodológicos, o estudo do desempenho dos alunos nos itens de Matemática é aqui realizado com base nos percentuais de acerto corrigidos dos itens e controlados pelo índice socioeconômico da população avaliada. Dessa forma, elencamos como tema desta dissertação a avaliação em larga escala; como objeto, os dados estatísticos do teste aplicado pelo Sistema de Avaliação Educacional do Estado de Goiás (SAEGO), em 2014; e, como plano de ação, uma sugestão para a reestruturação do boletim pedagógico, tendo como meta a implementação de um mapa de aprendizagem de Matemática para o Ensino Médio. / This dissertation has been developed as part of our work in the Mestrado Profissional em Gestão e Avaliação da Educação (PPGP, or Professional Master´s Course on Educational Management and Evaluation), of the Universidade Federal de Juiz de Fora (UFJF, Federal University of Juiz de Fora). The management study case discusses how the Centro de Políticas Públicas e Avaliação da Educação of the Universidade Federal de Juiz de Fora (CAEd/UFJF, Center for Public Policy and Educational Evaluation), as an institution hired by the Goiás State Secretary of Education, can contribute for providing to Goiás education professionals recommendations able to make them improve even more eventual strengths and correct weaknesses in Mathematics teaching, based on statistical and pedagogical analyses done on High School 3rdgrade Mathematics items. Methodologically, the study of student performance is carried out on the basis of right answer percentages controlled by student socioeconomic status. The theme of the dissertation is thereby large-scale evaluation; its study object is the statistical data of the 2014 test applied by the Sistema de Avaliação Educacional do Estado de Goiás (SAEGO, Goiás State Educational Evaluation System), in 2014; and its action plan is a suggestion for restructuring the pedagogical bulletin, with the aim of implementing a High School Mathematics learning map.