This project is aimed at generating new knowledge and improving our understanding of how Modified for Language Support-Worked Example Pairs (MLS-WEPs) contribute to effective mathematics learning and teaching in an ESOL (English to Speakers of Other Languages) context. The current study investigated a novel instructional approach to help English Language Learners (ELLs) develop better understanding in mathematical reasoning, problem solving, and literacy skills (listening, reading, writing, and speaking) while they are still developing their English language proficiency. The current study followed a wait-list control design, with both the treatment and control groups receiving intervention materials. The intervention materials were administered multiple times with different topics (units) throughout the study. The lessons were audio-recorded when the selected topics were taught. Pretest and posttest were given each time when the selected topics were taught. The data analysis for this study included both qualitative and quantitative analyses. The present study revealed the following results: (1) MLS-WEPs not only enhanced ELLs’ ability to solve mathematical problems, but also improved their written explanation skills and enabled them to transfer such skills to different mathematical concepts; (2) when controlling ELLs’ prior knowledge, the effectiveness of the MLS-WEPs intervention did not vary by their English language proficiency; (3) the MLS-WEPs intervention materials facilitated teachers to provide ELLs with more opportunities to read, write, and speak in mathematics and enabled teachers to ask more and deeper questions. However, worked example comparisons did not appear to motivate the participant teachers to promote equitable participation in mathematics classrooms. These findings provide direct empirical support for the need to reform mathematics teaching and learning in the ESOL context. / Math & Science Education

TITLE: Card-games for the 5-6 years old children in developement of pre-mathematics literacy AUTHOR: Barbara Kidery DEPARTMENT: Mathematics & Mathematical Education Department SUPERVISOR: PhDr. Michaela Kaslová ABSTRACT: Diploma thesis investigates whether are preschoolers able to play selected card games, within which develope and deepen the skills, that are part of pre-mathematics literacy. The theoretical part is focused on the areas of child development that may affect and limit the children playing card games. Further clarifies the status of card games in various game categorization, introduces kinds of cards, card games and how to proceed in games with rules. The practical part presents ten card games played with 5-6 years old children, a detailed analysis of their rules, organization of the various games, analysis of video documentation acquired during games and methodological notes for the practice. KEYWORDS: pre-mathematics literacy, development of preschool child abilities, game with rules, card game

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

Abstract The Master thesis "Developement of work on structure in kindergarten" aims to find out which structures are percieved well by the Czech child of the last year of pre-school and in which types of percieved structures there are difficulties and to characterize these difficulties. Qualitative research was used to achieve the goal. The thesis deals with two types of structures, one direction or simultaneusly two directions structure. The partial aim is to describe (on the basis of acquired data and experience) recommendations and offer in practice proven appropriate activities that would precede the activities in last year of pre- school eductaion. A series of tasks has been created to test how the child works with a regular rhythm structure in one and two directions. At the same time, I watched if it is easier for the child to fill in these worksheets or work with small 3D material in given directions. In addition to the observation method, interviews with children were conducted and data recordings were added to the analysis. The evidence obtained showed that the preschool children in the last year of the kindergarten understands the structure more easily in one direction and is better oriented in the horizontal position than in the vertical or both directions simultaneously. This may be due...