本研究主要目的是探討合作學習融入數學教學對於偏遠地區學校國一學生在學習國中數學第一冊的學習成效。以屏東縣一所偏遠地區學校國一學生兩班共55人為研究樣本，其中一班為實驗組，實施「合作學習融入數學教學」；另一班為對照組，實施傳統講述法，來探討學生接受不同的教學方法之後，在數學學習成就、態度及保留三方面的差異性。實驗結果，可得以下之結論： 一、在衡量數學學習成就指標上，實驗組與對照組之間有顯著差異且實驗組優 於對照組。 二、在衡量數學學習態度指標上，實驗組與對照組之間有顯著差異且實驗組優 於對照組。 三、在衡量數學學習保留指標上，實驗組與對照組之間有顯著差異且實驗組優 於對照組。 最後本文再對上述統計檢定推論提出建議，以供教師實務上教學及後續相關研究之參考。 / The main purpose of this study is to apply “cooperative learning in mathematics” in remote area to explore its effects of learning performance by seventh graders. Two classes, which have a total of 55 students, were sampled from a junior high school in a remote area of Pingtung County. One class students were assigned as the experimental group and the other students as the control group. The first class was taught using “cooperative learning in mathematics”, while the second one was taught using traditional method. In order to find if there are differences on learning achievements, learning attitudes, and learning retention of mathematics between two teaching methods, statistical tests were conducted. The following conclusions are reached︰ 1.Based on mathematics learning achievement indicator, there is a significant difference between two teaching methods. The effect by the experimental group is significantly better than that by the control group. 2.Based on mathematics learning attitude indicator, there is a significant difference between two teaching methods. The effect by the experimental group is significantly better than that by the control group. 3.Based on mathematics learning retention indicator, there is a significant difference between two teaching methods. The effect by the experimental group is significantly better than that by the control group. Finally, suggestions for practical teaching are provided and future possible researches are also discussed.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The present work aims to present a proposal for the introduction and exploration of the main concepts in the study of affine and quadratic functions. This proposal was developed from the realization, through preliminary studies, the existence of difficulties in relation to learning and understanding of concepts related to this topic. Considering the importance of the study of functions in the school curriculum and understanding of phenomena related to different areas of knowledge, the activities that make up this proposal are based on the ideas that learning occurs through a process of knowledge construction and social interaction. Furthermore, believing that contextualization of content and interdisciplinarity to corroborate the significant learning of mathematics, our work proposes a sequence of activities from, real problems will explore the main concepts in the study of affine and quadratic functions. To assist students in solving problems and exploring these concepts and use the learning objects, more specifically, softwares Tracker and GeoGebra. We believe that this proposal will contribute to improving the quality of mathematics teaching and more specifically for teaching functions. Moreover, this work could serve as inspiration for math teachers to create new teaching methodologies. / O presente trabalho tem como objetivo apresentar uma proposta para a introdução e exploração dos principais conceitos presentes no estudo de funções afins e quadráticas. Esta proposta foi elaborada a partir da constatação, através de estudos preliminares, da existência de dificuldades em relação à compreensão e aprendizagem dos conceitos relacionados a este tema. Considerando a importância do estudo de funções no currículo escolar e na compreensão de fenômenos relacionados a diversas áreas do conhecimento, as atividades que compõem esta proposta estão fundamentadas nas ideias de que a aprendizagem se dá através de um processo de construção do conhecimento e pela interação social. Além disso, acreditando que a contextualização dos conteúdos e a interdisciplinaridade corroboram para a aprendizagem significativa da matemática, nosso trabalho propõe uma sequência de atividades que, a partir de problemas reais, pretende explorar os principais conceitos presentes no estudo de funções afins e quadráticas. Para auxiliar os alunos na resolução dos problemas e na exploração destes conceitos, utilizamos os objetos de aprendizagem, mais especificamente, os softwares Tracker e GeoGebra. Acreditamos que esta proposta poderá contribuir para a melhoria da qualidade do ensino da matemática e mais especificamente para o ensino de funções. Além disso, este trabalho poderá servir como inspiração aos professores de matemática para a criação de novas metodologias de ensino.

Made available in DSpace on 2018-06-27T19:13:17Z (GMT). No. of bitstreams: 2 Marinez_Cargnin_Stieler.pdf: 1251304 bytes, checksum: ce901193e5e1aad3c26c6b35a042f707 (MD5) Marinez_Cargnin_Stieler.pdf.jpg: 3941 bytes, checksum: d5d8d7a3eaaac641dcc92918c317f250 (MD5) Previous issue date: 2007-05-03 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This work is focused on the investigation of the possibilities that Mathematical Modelling offers to contextualized and meaningful learning of statistical and mathematical concepts, in a class of students from the seventh semester of Mathematics from UNIFRA. The study is supported on the possibilities of adopting a teaching methodology capable of enabling students to have contact with everyday problems, developing the ability of solving them and analyzing and interpreting the solutions while, at the same time, learning mathematic and statistic subjects. The research was carried out, in a qualitative approach, based on data collected in semi-structured interviews, observations made during student activities, reports of research subjects which were registered in Diários de Campo and other documents produced by them. Students enrolled in the Projeto de Pesquisa e Extensão em Educação Matemática II, from the Mathematics course participated in this work as research subjects. The analysis of the data was established based on theoretical approachest and personal reflection. Attitude changes during the research and the commitment of the students with the study could be verified through the analysis. It was also verified that the Mathematical Modelling environment produced interest and motivation to study contextualized mathematic and statistic subjects and the meaning of these subjects as well as developing abilities for investigating and comprehending the socio-cultural role of mathematics. / Este trabalho tem como foco central a investigação sobre as possibilidades que a Modelagem Matemática oferece à aprendizagem contextualizada e significativa de conceitos matemáticos e estatísticos, em uma turma de sétimo semestre do Curso de Licenciatura em Matemática da UNIFRA. As justificativas sustentam-se na possibilidade de adotar uma metodologia de ensino capaz de oportunizar aos alunos o contato com problemas do cotidiano, desenvolvendo a capacidade de resolvê-los e de analisar e interpretar as soluções e, ao mesmo tempo, aprender conteúdos matemáticos e estatísticos. A investigação foi operacionalizada, numa abordagem qualitativa, baseada nos dados coletados em entrevistas semi-estruturadas, observações participantes das atividades desenvolvidas com os alunos, relatos dos sujeitos da pesquisa registrados nos Diários de Campo e dos documentos por eles produzidos. Os sujeitos participantes da pesquisa são os alunos que freqüentaram a disciplina de Projeto de Pesquisa e Extensão em Educação Matemática II, que faz parte da matriz curricular do curso de Licenciatura em Matemática. Embasada nos pressupostos teóricos, em reflexões próprias e nos objetivos da pesquisa estabeleceu-se a análise dos dados. Com a análise foi possível perceber mudanças de atitudes durante a investigação e o comprometimento dos alunos com o trabalho desenvolvido. Percebeu-se também que o ambiente de Modelagem Matemática despertou o interesse e a motivação para estudar conteúdos matemáticos e estatísticos contextualizados e a significação desses conteúdos além de desenvolverem habilidades para a investigação e a compreensão do papel sociocultural da matemática.

Submitted by Renata Lopes (renatasil82@gmail.com) on 2016-12-22T10:46:30Z No. of bitstreams: 1 lorenaluquinidebarrosabreu.pdf: 5380138 bytes, checksum: aae614bb336fca9bd611dda47e27e17f (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2016-12-22T12:52:24Z (GMT) No. of bitstreams: 1 lorenaluquinidebarrosabreu.pdf: 5380138 bytes, checksum: aae614bb336fca9bd611dda47e27e17f (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2016-12-22T12:52:52Z (GMT) No. of bitstreams: 1 lorenaluquinidebarrosabreu.pdf: 5380138 bytes, checksum: aae614bb336fca9bd611dda47e27e17f (MD5) / Made available in DSpace on 2016-12-22T12:52:52Z (GMT). No. of bitstreams: 1 lorenaluquinidebarrosabreu.pdf: 5380138 bytes, checksum: aae614bb336fca9bd611dda47e27e17f (MD5) Previous issue date: 2011-04-28 / A presente pesquisa constitui-se em trabalhar com as funções matemáticas mediante as contribuições concedidas pela prática da Modelagem Matemática, por meio de uma concepção que permite ao educador desenvolver uma busca pela interação proveniente da matemática contextualizada na realidade dos estudantes. Sendo assim, ao contrário dos métodos de ensino mais tradicionais, o estudo aponta para a possibilidade de compreensão acerca do conteúdo de funções afins, tomando como base as implicações obtidas em um grupo de quatro alunos do 1o ano do Ensino Médio e, metodologicamente, utilizando-se da Modelagem Matemática para tal fim. A pesquisa divide-se em cinco capítulos que buscam nortear o educador para a importância inicial do conteúdo de funções na educação brasileira, os ensinamentos práticos direcionados aos alunos em uma pesquisa de campo, que buscou aproximar a disciplina à realidade em que esses estudantes se inserem, por meio de uma situação-problema envolvendo os alunos em uma pizzaria próxima à escola. Dessa forma, realidade e matemática tornam-se indissolúveis ferramentas para os alunos compreenderem situações cotidianas que integram a disciplina às mais variadas experiências, garantindo-se ao corpo docente e discente amplas possibilidades de desenvolverem, juntos, o entendimento de tal disciplina, numa interação necessária a qualquer aprendizado de qualidade. / This research consists on working with mathematical functions through contributions made by the Mathematical Modeling practice, using a model which allows the educator to develop a search for interaction using mathematics contextualized in the students‟ reality. Thus, opposite to the more traditional teaching methods, this study indicates the possibility of understanding content related to affine functions, based on the results obtained in a group composed by four students from first year of high school in Brazil and, methodologically, using the mathematical modeling for this purpose. This research is divided in five chapters that seek to guide the educator to the initial importance of the functions content in the Brazilian education, the practical lessons targeted to students in a field research, which sought to bring the subject closer to the students‟ reality through a problem-situation involving students in a pizzeria near the school. Hence, reality and mathematics become inextricable tools for students to understand common situations, that incorporate the subject to a variety of experiences, ensuring teachers and students wide possibilities to develop together an understanding of this subject, with the necessary interaction to accomplish quality learning.

Submitted by Cláudia Bueno (claudiamoura18@gmail.com) on 2015-10-27T16:31:33Z No. of bitstreams: 2 Dissertação - Josemir do Carmo - 2014.pdf: 1438185 bytes, checksum: 0121ad4e67767d76ae218de911170ce4 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-10-28T14:15:42Z (GMT) No. of bitstreams: 2 Dissertação - Josemir do Carmo - 2014.pdf: 1438185 bytes, checksum: 0121ad4e67767d76ae218de911170ce4 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Made available in DSpace on 2015-10-28T14:15:42Z (GMT). No. of bitstreams: 2 Dissertação - Josemir do Carmo - 2014.pdf: 1438185 bytes, checksum: 0121ad4e67767d76ae218de911170ce4 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Previous issue date: 2014-07-25 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This paper aims to present multiple features favored by Mathematical Modelling: a methodological alternative to teaching, mainly, in Elementary Education, in an attempt to bring the reality of the students to the classroom and this way contribute to their motivation in the study of mathematics. For this study the methodological referrals are shown and some steps to work with Modelling in the classroom are established. It also presents some examples of problems, construction and discussion of mathematical models, developed in the classroom for Elementary Education. Difficulties of intervention found by teachers to deal with the modeling are listed and also the processes of teacher’s training in relation to the Modelling are discussed, advocating that they must support themselves reflexively on the experiences with Modelling in the classroom context. This way some guidelines are proposed for an evaluation in Mathematical Modelling. / Neste trabalho buscou-se apresentar os múltiplos aspectos favorecidos pela Modelagem Matemática: uma alternativa metodológica para o ensino, principalmente, na Educação Básica, na tentativa de aproximar a realidade dos alunos à sala de aula e assim contribuir para motivação dos mesmos no estudo da matemática. Para isto são mostrados os encaminhamentos metodológicos e estabelecem-se algumas etapas para o trabalho com a modelagem em sala de aula. Apresentam-se também alguns exemplos de problemas, construção e discussão de modelos matemáticos desenvolvidos em sala de aula para a Educação Básica. São elencadas as dificuldades de intervenção encontradas pelos professores para trabalharem com modelagem e discutem-se também os processos de formação dos professores em relação à Modelagem, advogando que estas devem se apoiar reflexivamente nas experiências com Modelagem no contexto da sala de aula. Dessa forma, são propostas algumas orientações para a avaliação em Modelagem Matemática.

Many high school math teachers are not trained for teaching students with mild disabilities. Math curriculum is not typically developed with the needs of students with mild disabilities in mind. Teachers may not be aware of the unique barriers for students with mild disabilities, and strategies to help them master mathematics. The purpose of this study was to identify research-based techniques used by general education and special education teachers for teaching math to high school students with mild disabilities. The study also investigated teachers’ perceptions of and willingness to implement specific strategies to teach math skills to students with mild disabilities. Academic research articles were reviewed to identify strategies. A survey was taken by nine high school general education and five special education teachers who teach math. The results showed a reasonable degree of knowledge, experience, and positive perceptions of evidence-based strategies, especially co-teaching. There were significant differences between the responses of teachers with math teaching licenses compared to those with special education licenses. Based on the existing literature and the survey results, a handbook of resources was created for teachers of secondary math classes to support learning for students with mild disabilities.

We present a new course titled “Introduction to the Mathematical Sciences.” The course content is 1/3 algebra, 1/3 statistics, and 1/3 computer science and is taught in a laboratory environment on computers. The course pedagogy departs radically from traditional mathematics courses taught in the U.S. and makes extensive use of spreadsheet software to teach algebraic and statistical concepts. The course is currently offered in area high schools and two-year postsecondary institutions with financial support from a Blandin Foundation grant (referenced under BFG). We will present empirical evidence that indicates students in this course learn more algebra than students in a traditional semester-long algebra course. Additionally, we present empirical evidence that students learn statistical and computer science topics in addition to algebra. We will also present the model of developing this course which depended on increasing future student success in a variety of disciplines at the post-secondary level of study.

A study was undertaken to explore what constitutes instructional capacity in the teaching and learning of mathematics (TLM), with a focus on how schools (as institutions of teaching and learning) integrate resources for a particular configuration of capacity to promote high achievement levels of Grade 12 students in mathematics. Data were collected in ten public secondary schools, mostly in a disadvantaged context, in the Vhembe District in Limpopo Province, South Africa. The study explores strategies for constructing, organising and replenishing instructional capacity in TLM. Five low- and five high-performing schools were selected, based on the pass rate in mathematics in high stakes examinations. The researcher observed lessons and interviewed ten Grade 12 mathematics teachers, ten principals, five curriculum advisors and a sample of forty Grade 12 mathematics students. The research revealed that the capacity to encourage the new curriculum reform practices in TLM within different schools is often inadequate, and largely fails to compensate for organisational effects and arrangements that shape the capacity to create quality instruction in mathematics. However, high-performing schools were somewhat ahead of low-performing schools in terms of encouraging reform-oriented teaching and learning in mathematics. Recommendations include: Principals should initiate the development and implementation of a school-based clinical supervision programme through collaborative decision-making to promote a sense of ownership by all mathematics teachers. Such a supervision programme would enhance commitment and ensure that all efforts are unified towards improving the quality of TLM. There is a need for the DoE in Limpopo Province to coordinate teacher professional development workshops, where effective practising mathematics teachers model how they teach mathematics in the classroom, while other teachers observe. Context-based strategies to enhance student outcomes in mathematics should be devised, such as modelling good practice by effective teachers in terms of: lesson preparation; subject knowledge; pedagogic approach; assessment and monitoring of classroom practice, including direct observation of teaching by HoDs and principals. It is proposed that attention to these issues, amongst others, would limit the impact of an unpromising context on student achievement levels in mathematics in high stakes examinations in the Vhembe District and elsewhere. / Mathematics Education / D. Phil. (Mathematics, Science and Technology Education)

Made available in DSpace on 2016-04-28T20:56:34Z (GMT). No. of bitstreams: 1 Simone de Oliveira Andrade Silva.pdf: 1363082 bytes, checksum: 9d97d5f1cb68b0ecbdeedbcd4c5deb14 (MD5) Previous issue date: 2013-04-15 / Conselho Nacional de Desenvolvimento Científico e Tecnológico / This paper aimed to identify guidelines as defined by the Brazilian Curriculum Directives for Early Childhood Education to the teaching and learning of mathematics persisted as guidance of teacher s work. The policy cycle approach, formulated by Stephen Ball and Richard Bowe, that presents the debate around to the analysis of educational policies and its contributions to the critical and contextualized analysis of them, was applied as a theoretical and analytical framework to examine this educational policy. This paper verified two contexts, namely: text production and practice. The documental analysis and qualitative analysis of RCNEI allow comprehending the context of text production. Teachers and coordinators were interviewed to enable the observation of context of practice. Analysis was supported by software ALCESTE. The research identified a text influenced by national and international policies, what it became confused and hard to interpret. The results of analysis indicated still that the education professional maintained their traditional of teaching, although they considered this document as a model unifying national guidelines for Early Childhood Education. Therefore, the education policy was useful as such organized of school documents, but no as a guideline of teacher practice / Este trabalho teve o objetivo de identificar as diretrizes que estão presentes no Referencial Curricular Nacional para a Educação Infantil (RCNEI) para o ensino de matemática que persistiram como orientações da prática docente do professor de EI. Para a análise dos documentos, tomou-se como referência a teoria-metodológica do Ciclo de Políticas, de Stephen J. Ball e Richard Bowe, que pressupõem que uma política educacional está sempre em movimento e só é possível entendê-la se analisados os seus contextos. No presente estudo, foram analisados os contextos de influência, de produção de texto e da prática. Para coleta de informações do contexto de produção de texto contou-se com dois procedimentos: análise documental e análise qualitativa do RCNEI. Para o contexto da prática foram realizadas entrevistas a professores e coordenadores pedagógicos de Escolas Municipais de Educação Infantil (EMEI) do município de São Paulo. A análise dos dados contou com o apoio do software ALCESTE que permitiu identificar um documento que sofreu influências nacionais e internacionais, o que contribuiu para um texto confuso e de difícil interpretação e com muitas contradições. Os resultados das entrevistas revelaram que os profissionais mantiveram sua forma tradicional de ensino, embora tenham citado o documento como um modelo unificador nacional das diretrizes para a Educação Infantil. Portanto, o documento foi utilizado como estruturador do projeto pedagógico da escola, mas não como orientador da prática docente

Made available in DSpace on 2016-04-27T16:58:36Z (GMT). No. of bitstreams: 1 Alessandra Garcia de Andrade e Silva.pdf: 346232 bytes, checksum: 4f6bee3b426d3492efdc5dc072890f41 (MD5) Previous issue date: 2008-05-08 / Secretaria da Educação do Estado de São Paulo / This study aimed to investigate the teacher trainer in the Course of Pedagogy, in the area of Mathematics, as regards their knowledge, their training, their working conditions and also to the choices regarding the content it considers necessary for its student, future teacher of the initial series needs to know how teachs mathematics. The person of the search was a teacher trainer who teachs lessons in the area of mathematics, in a course of education in a private university, in Zona Leste of Sao Paulo. The methodology used was the biography, the life story of teacher trainer, built from their course work, made from a semi-structured interview and also comments from the classroom teacher trainer, made on the 2 nd half of 2007. The triangulation between the literature studied, the biography of the trainer and the observations of classes, led to the conclusion that the mathematical content should be addressed with activities that provide research and inquiry, and also make the students to live a little experience how to work in the classroom. It was also concluded that the school is an area of training where the teacher works and is formed at the same time. It was clear, that the quality of the study received during her all life and add to her experience like mathematic teacher in many areas of the Basic Education, has a strong influence in her conviction, and perception of what is necessary for all future teachers to learn and to practice in initial series of Fundamental Learning. Other perception bring us about the study and refers to the importancy of the institutional formed project can have about the quality of formation the students in the course of Pedagogy, this study was showed the care about the formation with the future mathematic s teachers. We can mention the autonomy of the teachers working together and change his experiences each other to improve the formation of the future teacher / A presente pesquisa teve por objetivo investigar o professor formador no Curso de Pedagogia que atua na área de Matemática buscando estudar sua formação, seus saberes, suas condições de trabalho e também as escolhas referentes aos conteúdos matemáticos que considera necessários para o ensino do futuro professor das séries iniciais. O sujeito da pesquisa foi uma professora formadora, que ministra aulas na área de matemática, num Curso de Pedagogia, numa universidade privada, na Zona Leste da cidade de São Paulo. A metodologia esteve amparada na realização da biografia da professora formadora, construída a partir de sua trajetória profissional e dos dados coletados por meio da entrevista semi-estruturada. Foram realizadas também observações das aulas da professora formadora. A triangulação entre a literatura estudada, a biografia da formadora e as observações das aulas, levaram a concluir que os conteúdos matemáticos devem ser abordados com atividades que proporcionem investigação e questionamentos, e também que faça os alunos vivenciarem a forma que deverão trabalhar em sala de aula. Também foi possível concluir que a escola é um espaço de formação onde o professor trabalha e se forma ao mesmo tempo. Ficou evidenciado, ainda, que a formação de qualidade recebida durante toda a vida da professora formadora somada à experiência como professora de matemática nos diversos segmentos da Educação Básica, tiveram forte influência na sua convicção, compreensão, clareza e percepção do que é necessário ensinar para os futuros professores que atuarão nas séries iniciais do Ensino Fundamental. Outra constatação trazida pelo estudo refere-se à importância que um projeto formativo institucional pode ter sobre a qualidade da formação desses alunos do Curso de Pedagogia. No estudo ficou revelada a preocupação da instituição com a formação e com a formação matemática dos futuros professores. A autonomia dos professores formadores em relação a um trabalho voltado para a construção de saberes junto com os alunos e por meio de atividades interdisciplinares, pode ser citada como elemento de destaque desse projeto formativo