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O currículo de matemática no ensino médio do Brasil e a diversidade de percursos formativos; Mathematics Curriculum in High School of Brazil and the Diversity of Courses in Upper Secondary Education.

Costa, José Carlos Oliveira
Fonte: Biblioteca Digitais de Teses e Dissertações da USP Publicador: Biblioteca Digitais de Teses e Dissertações da USP
Tipo: Tese de Doutorado Formato: application/pdf
Publicado em 26/09/2011 Português
Relevância na Pesquisa
66.35%
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...

Currículo, cultura e educação matemática: uma aproximação possivel?; Curriculum, culture and mathematics education: a possible approach?

Godoy, Elenilton Vieira
Fonte: Biblioteca Digitais de Teses e Dissertações da USP Publicador: Biblioteca Digitais de Teses e Dissertações da USP
Tipo: Tese de Doutorado Formato: application/pdf
Publicado em 11/10/2011 Português
Relevância na Pesquisa
46.39%
O presente estudo insere-se na linha de pesquisa Currículos, ensino e aprendizagem em Matemática, do Grupo de Estudos e Pesquisa em Educação Matemática e Educação (GEPEME), da área de Ensino de Matemática e Ciências do Programa de Estudos Pós-Graduados em Educação da Faculdade de Educação da Universidade de São Paulo (USP) e tem como objetivo investigar em que medida o conhecimento matemático é usado na sociedade contemporânea e como se manifesta nas relações de poder; e compreender sobre e como as práticas de significação interferem na organização e construção do currículo da Matemática da Educação Básica. Metodologicamente, inclui-se numa abordagem qualitativa de pesquisa, na modalidade ensaio teórico e articula práticas discursivas que têm sido pouco confrontadas com a Educação Matemática, mais precisamente, com o currículo da Matemática escolar, ao longo dos últimos anos. Teoricamente, fundamenta-se em estudos sobre as diferentes teorias de currículo procurando analisar o papel que as disciplinas escolares ocupam em cada uma dessas teorias; em estudos sobre a centralidade da cultura para discutir as questões da contemporaneidade; e em estudos na área de Educação Matemática, tais como Etnomatemática...

A arte de contar: uma introdução ao estudo do valor didático da história da matemática; The arte of couting: an introduction to the study of the educational value of the history of mathematics

Brolezzi, Antonio Carlos
Fonte: Biblioteca Digitais de Teses e Dissertações da USP Publicador: Biblioteca Digitais de Teses e Dissertações da USP
Tipo: Dissertação de Mestrado Formato: application/pdf
Publicado em 24/09/1991 Português
Relevância na Pesquisa
45.96%
Nesta dissertação, apresentamos algumas linhas de pesquisa que podem levar a uma abordagem na qual o próprio conteúdo matemático seja influenciado pelo uso da História da Matemática em sala de aula. Não se trata apenas de ilustrar as aulas de Matemática com histórias que divirtam, como biografias de matemáticos famosos. Nem simplesmente de acrescentar mais conteúdo ao currículo elementar de Matemática, para recheá-lo de referências históricas diretas que de algum modo ajudem a demonstrar a importância ou a beleza do assunto que se quer ensinar. O que pretendemos fazer aqui é contribuir para o estudo de uma utilização muito mais profunda do recurso à História da Matemática. Esse estudo deveria levar em consideração a existência de um encadeamento lógico característico na construção do conhecimento científico e outro na sistematização, na formalização desse conhecimento. A nosso ver, a ordem lógica mais adequada para o ensino de Matemática não é a do conhecimento matemático sistematizado, mas sim aquela que revela a Matemática enquanto Ciência em construção. O recurso à História da Matemática tem, portanto, um papel decisivo na organização do conteúdo que se quer ensinar, iluminando-o...

Tecnologias de Informação e Comunicação no Currículo de Matemática do Ensino Secundário após a Reforma Curricular de 1986; Information and Communication Technologies in the Secondary School Mathematics Curriculum after the Curricular Reform of 1986

Fernandes, José António; Alves, Maria Palmira; Viseu, Floriano; Lacaz, Tânia Maria
Fonte: Associação Portuguesa de Estudos Curriculares Publicador: Associação Portuguesa de Estudos Curriculares
Tipo: Artigo de Revista Científica
Publicado em //2006 Português
Relevância na Pesquisa
66.25%
No presente artigo estuda-se em que medida o desenvolvimento das Tecnologias de Informação e Comunicação (TIC) se reflecte no currículo prescrito de Matemática do ensino secundário, designadamente ao nível dos tipos de tecnologia, das referências que lhe são feitas e das recomendações do seu uso nos diferentes temas. Os dados usados no estudo resultaram da análise documental dos programas da área de Matemática do ensino secundário, desde a Reforma do Sistema Educativo de 1986 até à actualidade. Em termos de resultados, salienta-se ao longo das sucessivas alterações dos programas, no período considerado, um claro aprofundamento das TIC no currículo de Matemática, repercutindo-se em todas as dimensões estudadas: tipo de tecnologia, frequência com que são referidas nos programas e nos seus componentes e formas de uso recomendadas nos diferentes componentes do currículo.; This paper studies which degree the development of the Technologies of the Information and Communication (ICT) appears in the official mathematics curriculum of secondary school, namely related with types of technology, the references to them, and the recommendations to their use in the different contents. The data used in the study came from the documental analysis of the secondary syllabus of mathematics...

A New Elementary Mathematics Curriculum: Practice, Learning and Assessment - Some Classroom Episodes

Vale, Isabel; Fernandes, Domingos; Borralho, António
Fonte: The Mathematics Education into the 21st Century Project – MEC 21 Publicador: The Mathematics Education into the 21st Century Project – MEC 21
Tipo: Artigo de Revista Científica
Português
Relevância na Pesquisa
76.25%
The aim of this paper is to present the new and innovative mathematics curriculum for elementary levels that is being implemented in the Portuguese basic education system (students from 1st to 9th grade) through an overview of an ongoing study of implementation/experimentation of this curriculum. A specific mechanism was implemented in the field to provide scientific and pedagogical support to the development of the new elementary mathematics curriculum (NPMEB) implementation at all grade levels and all over the country. In particular, the NPMEB is being experimented by a set of teachers that teach in their own classes and that have been trained and accompanied along the experience by the different authors of the program. We will focus on some classroom practices, sharing innovative and creative ideas of teachers and students, grounded on some of the tasks used by the teachers. The preliminary results suggest that some improvements are already visible, namely regarding students’ attitudes and mathematical competences and teachers’ practice

Evaluation of the implementation process of a new mathematics curriculum for Grades 1-­‐9: A discussion of the main results

Vale, Isabel; Fernandes, Domingos; Borralho, António
Fonte: Universidade de Évora Publicador: Universidade de Évora
Tipo: Aula
Português
Relevância na Pesquisa
66.33%
Recently, a new Mathematics curriculum for basic education (Grades 1-9) has been introduced in the Portuguese educational system. This curriculum was designed to bring together some disperse curricular documents and to substitute the former one that was being used since the early 90s. But, above all, the new curriculum was aimed at providing a more sustained development of students’ mathematical learning based upon recent international recommendations for mathematics teaching and learning. The new curriculum implementation was strongly supported by a special designed programme aimed at providing scientific and pedagogical support to all teachers of Grades 1-9 throughout all the schools of the country. Before its generalization to all basic education schools of the country, the new curriculum had been put into practice by 40 teachers of the different grade levels for a three-year period. These teachers had the opportunity to attend a number of workshops and to share their experiences in a variety of contexts. In fact, they functioned as a true network, working in close collaboration. Besides they were also in touch with the authors of the new curriculum to insure that it was put into practice according to the authors’ proposal. At the same time the Ministry of Education appointed a team of three mathematics educators to conduct a three-year evaluation study of the whole process of implementation of the new curriculum. An overview of this evaluation study will be presented: Besides...

Investigations and explorations in the mathematics classroom

Ponte, João Pedro da
Fonte: Universidade de Lisboa Publicador: Universidade de Lisboa
Tipo: Artigo de Revista Científica
Publicado em //2007 Português
Relevância na Pesquisa
46.17%
In Portugal, since the beginning of the 1990s, problem solving became increasingly identified with mathematical explorations and investigations. A number of research studies have been conducted, focusing on students’ learning, teachers’ classroom practices and teacher education. Currently, this line of work involves studies from primary school to university mathematics. This perspective impacted the mathematics curriculum documents that explicitly recommend teachers to propose mathematics investigations in their classrooms. On national meetings, many teachers report experiences involving students’ doing investigations and indicate to use regularly such tasks in their practice. However, this still appears to be a marginal activity in most mathematics classes, especially when there is pressure for preparation for external examinations (at grades 9 and 12). International assessments such as PISA and national assessments (at grades 4 and 6) emphasize tasks with realistic contexts. They reinforce the view that mathematics tasks must be varied beyond simple computational exercises or intricate abstract problems but they do not support the notion of extended explorations. Future developments will show what paths will emerge from these contradictions between promising research and classroom reports...

O novo programa de matemática como oportunidade de mudança para os professores do ensino básico

Ponte, João Pedro da
Fonte: Universidade de Lisboa Publicador: Universidade de Lisboa
Tipo: Artigo de Revista Científica
Publicado em //2009 Português
Relevância na Pesquisa
46.11%
Este artigo analisa as ideias-chave do novo Programa de Matemática do ensino básico (sentido de número, sentido espacial, pensamento algébrico, literacia estatística e capacidades transversais) e mostra como podem concretizar-se na sala de aula de modo a propiciar novas práticas de ensino e de aprendizagem. Para isso, destaca a natureza das tarefas a propor e o tipo de comunicação a realizar na aula, substituindo o paradigma de ensino expositivo por um paradigma de ensino-aprendizagem exploratório. Debruça-se, igualmente, sobre as condições necessárias para o sucesso do processo de implementação, dando especial atenção aos materiais de apoio, à formação dos professores e à organização dos professores nos agrupamentos e escolas. Conclui, apontando as oportunidades de mudança proporcionadas por este programa e indicando que o seu sucesso dependerá acima de tudo do protagonismo que os professores vierem a assumir na respectiva implementação.; This paper examines the key ideas of the new mathematics curriculum for basic education (number sense, spatial sense, algebraic thinking, statistical literacy and transversal capacities) and shows how they can be implemented in the classroom providing new teaching and learning practices. In order to do so...

What is an expert mathematics teacher?

Ponte, João Pedro da
Fonte: Universidade de Lisboa Publicador: Universidade de Lisboa
Tipo: Conferência ou Objeto de Conferência
Publicado em //2012 Português
Relevância na Pesquisa
46.13%
In Portugal, the introduction of new mathematics curriculum for basic education generated new images about the activity of the mathematics classroom and about the role of the teacher, based on the notions of “explorations” and “discussion”. This had strong implications to the perspective on teacher expertise accepted by teachers and also by researchers in this country. This paper provides a brief overview of the national context, in terms of curriculum and teacher education, and describes this perspective of mathematics teachers’ expertise.

Learning Levels and Gaps in Pakistan

Das, Jishnu; Pandey, Priyanka; Zajonc, Tristan
Fonte: World Bank, Washington, DC Publicador: World Bank, Washington, DC
Português
Relevância na Pesquisa
46.16%
The authors report on a survey of primary public and private schools in rural Pakistan with a focus on student achievement as measured through test scores. Absolute learning is low compared with curricular standards and international norms. Tested at the end of the third grade, a bare majority had mastered the K-I mathematics curriculum and 31 percent could correctly form a sentence with the word "school" in the vernacular (Urdu). As in high-income countries, bivariate comparisons show that higher learning is associated with household wealth and parental literacy. In sharp contrast to high-income countries, these gaps decrease dramatically in a multivariate regression once differences between children in the same school are looked at. Consequently, the largest gaps are between schools. The gap in English test scores between government and private schools, for instance, is 12 times the gap between children from rich and poor families. To contextualize these results within a broader South Asian context, the authors use data from public schools in the state of Uttar Pradesh in India. Levels of learning and the structure of the educational gaps are similar in the two samples. As in Pakistan, absolute learning is low and the largest gaps are between schools: the gap between good and bad government schools...

The Relationship between the Secondary Mathematics Curriculum, College Persistence, and Success at an Urban Community College

Proctor, Avis R
Fonte: FIU Digital Commons Publicador: FIU Digital Commons
Tipo: Artigo de Revista Científica Formato: application/pdf
Português
Relevância na Pesquisa
45.89%
According to Venezia, Kirst, and Antonio (2003) and Barth’s 2002 Thinking K16 Ticket to Nowhere report, the disconnect between K-12 and postsecondary education was a contributing factor to high attrition rates. Since mathematics emerged as a primary concern for college readiness, Barth (2002) called for improving student transitions from K-12 to postsecondary institutions through the use of state or local data. The purpose of the present study was to analyze mathematics course-taking patterns of secondary students in a local context and to evaluate high school characteristics in order to explore their relationships with Associate degree attainment or continuous enrollment at an urban community college. Also, this study extended a national study conducted by Clifford Adelman (The Toolbox Revisited, 2006) as it specifically focused on community college students that were not included his study. Furthermore, this study used the theoretical framework that human capital, social capital, and cultural capital influence habitus - an individual’s or a group’s learned inclination to behave within the parameters of the imposed prevailing culture and norms. Specifically, the school embedded culture as it relates to tracking worked as a reproduction tool of ultimate benefit for the privileged group (Oakes...

The mathematics teacher and curriculum change

Kilpatrick, Jeremy
Fonte: Grupo de Investigaci??n Did??ctica de la Matem??tica: Pensamiento Num??rico, (FQM-193), del Plan Andaluz de Investigaci??n, Desarrollo e Innovaci??n (PAIDI) Publicador: Grupo de Investigaci??n Did??ctica de la Matem??tica: Pensamiento Num??rico, (FQM-193), del Plan Andaluz de Investigaci??n, Desarrollo e Innovaci??n (PAIDI)
Tipo: Artigo de Revista Científica
Português
Relevância na Pesquisa
46.25%
One of the most compelling lessons of the new math reform era ???from the mid 1950s to the mid 1970s??? concerned the pivotal role of the mathematics teacher in effecting curriculum change. Recent efforts to change the school mathematics curriculum are rediscovering that old lesson: The teacher is the key to change. Consequently, when teachers are confronted with arguments against the direction that proposals for curriculum change are taking, it is important for them to analyze and discuss the proposed changes. Recent experiences in the United States, which does not have the same centralized curriculum organization as Portugal but which is experiencing some of the same proposals and arguments against them, may be helpful in understanding the role that teachers can play in the social process of creating a curriculum.; Una de las lecciones m??s destacadas extra??das de la era de la reforma de la matem??tica moderna hac??a referencia al papel esencial que el profesor de matem??ticas desempe??aba en el cambio del curr??culo. Los recientes esfuerzos por cambiar el curr??culo de las matem??ticas escolares est??n redescubriendo esta vieja lecci??n: El profesor es la clave para el cambio. Consecuentemente, cuando los profesores argumentan en contra de las propuestas de cambio curricular...

Strengthening Mathematics Education in Sri Lanka

World Bank
Fonte: Washington, DC Publicador: Washington, DC
Tipo: Publications & Research :: Working Paper; Publications & Research
Português
Relevância na Pesquisa
46.38%
A well-informed and knowledgeable community is of vital importance for the economic and social development of a modem society. The knowledge and skills required for present day activities are much more complex than those required in the past. Today, many jobs require expert thinking and non-routine analytical skills, to identify and solve problems. Mathematics education focuses on developing a person's analytical and problem solving abilities. Thus a high quality mathematics education win ensure that students develop the skills that are essential not only in science and technology, but also in everyday life and the workplace. The government of Sri Lanka, recognizing the need for a high quality mathematics education has implemented several reforms in the recent past. Although the progress achieved is commendable, there is still room for improvement in certain important aspects of the learning teaching process. The main aim of the mathematics curriculum under these reforms is to create individuals who are able to think mathematically and apply mathematical knowledge effectively and responsibly in problem solving and decision making.

Inside Indonesia's Mathematics Classrooms : A TIMSS Video Study of Teaching Practices and Student Achievement

World Bank
Fonte: World Bank Publicador: World Bank
Tipo: Economic & Sector Work :: Other Education Study
Português
Relevância na Pesquisa
46.19%
The following report is the first of a two-stage video study to examine teaching practices and activities in Indonesian classrooms. The first stage is linked to results of the 2007 Trends in International Mathematics and Science Study (TIMSS) where 100 of the 150 classes that participated in the TIMSS examination also participated in this additional video study component. The second stage will also involve 100 classes that will participate in the 2011 exam. The second phase will follow the same methodology, allowing for comparison across years, but will also involve more in-depth analysis of the links between teaching practices and student outcomes and how teaching practices are influenced by teachers' belief systems and subject content knowledge. Indonesia has been a committed participant in the TIMSS, Program for International Student Assessment (PISA) and the Progress in International Reading Literacy Study (PIRLS) international standardized student examinations for many years and is one of the few non-OECD (Organization for Economic Cooperation and Development) countries to participate so fully. Indonesian student performance in these examinations has been relatively low...

A Case Study of Social Justice Mathematics: The Experiences of Secondary Students and Preservice Teachers in Mathematics Teaching and Learning

Lam, MANDY
Fonte: Quens University Publicador: Quens University
Tipo: Tese de Doutorado
Português
Relevância na Pesquisa
46.28%
This case study described the experiences of secondary students and preservice mathematics teachers in the teaching and learning of social justice mathematics (SJM). Specifically, participants’ experiences in making connections among the mathematics curricula and the real world, perceptions about mathematics, and responses to an integrated curriculum approach were described. Students participated in SJM activities designed by preservice teacher participants: one component of a pre-existing extracurricular Social Issues Club at a high school in Southeastern Ontario. Mathematics activities, led by the researcher or one of the preservice teacher participants, were designed to complement the social justice issues that were being explored by the members of the Social Issues Club. Data were obtained through observations, questionnaires, focus group, individual interviews, written reflections, and artifacts. Results demonstrated that preservice teacher participants had unique professional and educational encounters prior to SJM that they connected to their SJM experience. Subsequent to this experience, preservice teachers suggested limited ideas about integrating curriculum into their future teaching practice beyond the content and contexts made familiar to them through SJM. With limited exposure to examples of curriculum integration identified by preservice teachers as a barrier...

Translating messages from curriculum statements into classroom practice: communication in Grade 9 Applied mathematics

Lazarus, Jill Nicole
Fonte: Quens University Publicador: Quens University
Tipo: Tese de Doutorado Formato: 1442773 bytes; application/pdf
Português
Relevância na Pesquisa
56.38%
This qualitative case study describes how two teachers translate communication messages from curriculum statements into classroom practice. These illuminative cases illustrate the perspectives and practices of two teachers who support the spirit of the Ontario Mathematics Curriculum by working to implement communication in the Foundations of Mathematics (MFM1P), Grade 9, Applied course (Ontario Ministry of Education, 2005). Data for this study were collected from individual interviews with teachers, classroom observations, and document analysis. Grade 9 Applied mathematics teachers across Ontario indicate on surveys that they support communication in the mathematics classroom (Education Quality and Accountability Office, 2007; Suurtamm & Graves, in press). Despite evidence of support for this aspect of the curriculum, findings from this study point to a need for finer analysis of teachers’ perspectives and practices when it comes to communication in mathematics. The cases presented in this thesis illustrate different images, or meanings, associated with communication in mathematics. Furthermore, even in unique cases where the gap between curriculum developers and teachers images is minimal, the idealized vision of communication may not be realized in classroom practice since teachers may face challenges in implementation. The teachers report that despite additional challenges involved with implementing communication in Grade 9 Applied mathematics...

Teachers' and students' views and attitudes towards a new mathematics curriculum: A case study

Ponte, João Pedro da; Matos, João Filipe; Guimarães, Henrique Manuel; Leal, Leonor Cunha; Canavarro, Ana Paula
Fonte: Universidade de Lisboa Publicador: Universidade de Lisboa
Tipo: Artigo de Revista Científica
Publicado em //1994 Português
Relevância na Pesquisa
56.31%
The education system in Portugal is in the midst of a period of intensive reform. This paper describes the findings of a qualitative case study focusing on the views and attitudes of teachers and students participating in a pilot curriculum development programme stressing active methodologies and group work, conducted by the Ministry of Education In particular it discusses their views and attitudes about mathematics, mathematics teaching and curriculum innovation. The teachers were found to struggle with a contradiction: whilst they approved the new orientations, which were seen as adequate and innovative, they complained strongly about the design and implementation of the programme Students had a generally positive attitude towards mathematics, although there were differences among them. The 7th graders were satisfied with their mathematics classes and with the new curriculum. The 10th graders did not consider the changes as significant in themselves, but expressed concern for their academic progress.

On the transition period of implementing new mathematics curriculum for Foundation Engineering students

Karjanto, N.; Osman, R.
Fonte: Universidade Cornell Publicador: Universidade Cornell
Tipo: Artigo de Revista Científica
Publicado em 31/03/2015 Português
Relevância na Pesquisa
46.25%
An overview on several mathematics modules in the transition period of introducing a new curriculum for the Foundation programme in Engineering at the University of Nottingham Malaysia Campus is discussed in this paper. In order to progress to Undergraduate programmes in Engineering, previously the students must complete three mathematics modules of 40 credit points in total, for which one of them was a year-long module with 20 credit points. Currently under the new curriculum, the students are required to complete five mathematics modules with 10 credit points each. The new curriculum gives positive impacts for both the lecturers and the students in terms of material organization, fully utilizing textbooks and a new arrangement for tutorial sessions. The new curriculum also provides the students with stronger mathematical background in critical thinking and problem solving skills to equip them to embark the Undergraduate programmes in Engineering.; Comment: 17 pages

Math is Music to Our Ears: The Effects of a Music and Movement Integrated Mathematics Curriculum on Second Grade Students' Engagement with Learning

Boccardi, Amanda
Fonte: University of Delaware Publicador: University of Delaware
Tipo: Tese de Doutorado
Português
Relevância na Pesquisa
45.97%
Lynnette Young Overby; The purpose of this research study was to investigate the effect of a music and movement integrated mathematics curriculum on second grade students??? emotional, behavioral, and cognitive engagement with learning. A concurrent triangulation design was used to guide this inquiry. Four types of data were collected from the following sources: (a) journal reflections; (b) surveys; (c) videotaped student performances; and (d) written work samples. Participants were seventeen 2nd grade students from a public school in Newark, Delaware. Findings from in-depth data analyses suggest that participants perceived the integrated learning experience to be emotionally, behaviorally, and cognitively engaging.; Elementary Teacher Education

Understanding connections in the school mathematics curriculum

Mwakapenda,Willy
Fonte: South African Journal of Education Publicador: South African Journal of Education
Tipo: Artigo de Revista Científica Formato: text/html
Publicado em 01/05/2008 Português
Relevância na Pesquisa
46.25%
I identify and discuss ways in which different types of connections are described in the South African mathematics National Curriculum Statement and its related documents, particularly at the Further Education and Training (FET) level. I argue that connections are central to the way the discipline of mathematics, its learning outcomes, and assessment standards are conceptualised. The notions of representation and integration are found to be key aspects in understanding connections in mathematics. Using these two notions, I then analyse connections in the National Curriculum Statement and its related documents. Finally, theoretical and practical implications of connections in the curriculum are identified.