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Teaching Mathematics in Multilingual Classrooms

Teaching Mathematics in Multilingual Classrooms Author J.B. Adler
ISBN-10 9780306472299
Release 2006-04-11
Pages 172
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The author captures three inter-related dilemmas that lie at the heart of teaching mathematics in multilingual classrooms: code-switching, mediation, and transparency. She provides a sharp analysis and strong theoretical grounding, pulling together research related to the relationship between language and mathematics, communicating mathematics, and mathematics in bi-/multilingual settings and offers a direct challenge to dominant research on communication in mathematics classrooms.



Teaching and Learning Mathematics in Multilingual Classrooms

Teaching and Learning Mathematics in Multilingual Classrooms Author Anjum Halai
ISBN-10 9789463002295
Release 2015-12-17
Pages 275
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Contemporary concerns in mathematics education recognize that in the increasingly technological and globalized world, with concomitant change in population demographics (e.g. immigration, urbanization) and a change in the status of languages (e.g. English as a dominant language of science and technology) multilingualism in classrooms is a norm rather than an exception. Shifts in perspective also view language not simply as an instrument for cognition with all learners equipped with this instrument in service of learning, although clearly in the classroom that remains of importance. Rather, it is now also being acknowledged that language use is inherently political, so that the language that gets official recognition in the classroom is invariably the language of the powerful elite, or the dominant societal language, or in the case of post-colonial contexts the language of the colonisers. From this socio-political role of language in learning quite different issues arise for teaching, learning and curriculum for linguistically marginalized learners than that of cognition (e.g. immigrants, second language learners, other). Policies on language in education are being considered and re-considered with specific reference to mathematics teaching and learning. Given the policy environment, globally the proposed publication is timely. This edited collection draws on recent, emerging insights and understandings about the approaches to improving policy and practice in mathematics education and mathematics teacher education in multilingual settings. It presents, and discusses critically, examples of work from a range of contexts and uses these examples to draw out key issues for research in education in language diverse settings including teaching, learning, curriculum and fit these with appropriate policy and equity approaches. With contributions from all over the world, especially novice researchers in low income countries, this book is a valuable resource for courses in Mathematics Education and related social sciences both at the graduate and undergraduate levels, as well as for students of international development.



Mathematics Education and Language Diversity

Mathematics Education and Language Diversity Author Richard Barwell
ISBN-10 9783319145112
Release 2015-11-25
Pages 321
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This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies.



Diversity in Mathematics Education

Diversity in Mathematics Education Author Alan Bishop
ISBN-10 9783319059785
Release 2014-09-20
Pages 262
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This book presents a research focus on diversity and inclusivity in mathematics education. The challenge of diversity, largely in terms of student profiles or contextual features, is endemic in mathematics education, and is often argued to require differentiation as a response. Typically different curricula, text materials, task structures or pedagogies are favoured responses, but huge differences in achievement still result. If we in mathematics education seek to challenge that status quo, more research must be focussed not just on diversity but also on the inclusivity, of practices in mathematics education. The book is written by a group of experienced collaborating researchers who share this focus. It is written for researchers, research students, teachers and in-service professionals, who recognise both the challenges but also the opportunities of creating and evaluating new inclusive approaches to curriculum and pedagogy – ones that take for granted the positive values of diversity. Several chapters report new research in this direction. The authors are part of, or have visited with, the mathematics education staff of the Faculty of Education at Monash University, in Melbourne, Australia. The chapters all focus on the ideas of development in both research and practice, recognising that the current need is for new inclusive approaches. The studies presented are set in different contexts, including Australia, China, the United States, and Singapore.



Language and Learning in Multilingual Classrooms

Language and Learning in Multilingual Classrooms Author Elizabeth Coelho
ISBN-10 9781847697196
Release 2012
Pages 357
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This book offers practical research-based advice for teachers and other educators on how to adapt school and classroom procedures, curriculum content, and instructional strategies in order to provide a supportive learning environment for students of minority language backgrounds who are learning the language of instruction at the same time as they are learning the curriculum.



Equity in Discourse for Mathematics Education

Equity in Discourse for Mathematics Education Author Beth Herbel-Eisenmann
ISBN-10 9789400728134
Release 2011-12-09
Pages 270
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This book explores the connection between the ways people speak in mathematics classrooms and their opportunities to learn mathematics. The words spoken, heard, written and read in mathematics classrooms shape students’ sense of what mathematics is and of what people can do with mathematics. The authors employ multiple perspectives to consider the means for transformative action with respect to increasing opportunities for traditionally marginalized students to form mathematical identities that resonate with their cultural, social, linguistic, and political beings.



Multilingualism in Mathematics Classrooms

Multilingualism in Mathematics Classrooms Author Richard Barwell
ISBN-10 9781847692047
Release 2009
Pages 186
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Learning and teaching mathematics in multilingual, bilingual or second language settings can be challenging. This collection explores the complex issues that arise in multilingual mathematics classrooms in Europe, South Asia, North America and Australia. Each contribution draws on recent research to offer new insights into the relationship between language, learning and mathematics.



The Construction of New Mathematical Knowledge in Classroom Interaction

The Construction of New Mathematical Knowledge in Classroom Interaction Author Heinz Steinbring
ISBN-10 9780387242538
Release 2006-03-30
Pages 236
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Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.



Adding English

Adding English Author Elizabeth Coelho
ISBN-10 0887510957
Release 2004
Pages 301
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A guide for teachers tasked with integrating second language learners into a mainstream K-12 program offers ideas and advice for enhancing the learning of all students in all areas of the curriculum.



The Politics of Mathematics Education

The Politics of Mathematics Education Author Stieg Mellin-Olsen
ISBN-10 9789027723505
Release 1987-03-31
Pages 249
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The development of knowledge is never easy. One doesn’t want to go over old ground again, but yet one needs to establish the new in the context of the old. One is also anxious about the novelty of the ideas are they new enough, or are they too ‘way out’ to be acceptable? In some fields perhaps these criteria are less important than in others. In education, I sense that ‘novelty’ is a tricky criterion, varying in value from society to society. In some societies the new ideas have to justify their adoption in the face to the old, tried and tested ideas. (Better the devil you know than the devil you don’t!) In other societies the old ways have to justify their continuation in the face of the new, promising and exciting ideas. (I can’t find a good proverb for this! Perhaps proverbs are all about preserving the past?) In any case, some people will argue, there is nothing new to be said about education anyway the problems are the same and it is only the context which changes. Mellin Olsen develops the reader’s knowledge through this book in ways that are both novel and challenging. Their novelty is not in question, judging by reactions to them which vary from “they have nothing to do with mathematics education” to “they concern everything that is done in mathematics education”.



Approaches to Algebra

Approaches to Algebra Author N. Bednarz
ISBN-10 9789400917323
Release 2012-12-06
Pages 348
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In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.



The Language of Mathematics

The Language of Mathematics Author Bill Barton
ISBN-10 9780387728599
Release 2007-12-24
Pages 186
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The book emerges from several contemporary concerns in mathematics, language, and mathematics education. However, the book takes a different stance with respect to language by combining discussion of linguistics and mathematics using examples from each to illustrate the other. The picture that emerges is of a subject that is much more contingent, much more relative, much more subject to human experience than is usually accepted. Another way of expressing this, is that the thesis of the book takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than most writers allow.



Visuospatial Reasoning

Visuospatial Reasoning Author Kay Owens
ISBN-10 9783319024639
Release 2014-11-07
Pages 377
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This book develops the theoretical perspective on visuospatial reasoning in ecocultural contexts, granting insights on how the language, gestures, and representations of different cultures reflect visuospatial reasoning in context. For a number of years, two themes in the field of mathematics education have run parallel with each other with only a passing acquaintance. These two areas are the psychological perspective on visuospatial reasoning and ecocultural perspectives on mathematics education. This volume examines both areas of research and explores the intersection of these powerful ideas. In addition, there has been a growing interest in sociocultural aspects of education and in particular that of Indigenous education in the field of mathematics education. There has not, however, been a sound analysis of how environmental and cultural contexts impact visuospatial reasoning, although it was noted as far back as the 1980s when Alan Bishop developed his duality of visual processing and interpreting visual information. This book provides this analysis and in so doing not only articulates new and worthwhile lines of research, but also uncovers and makes real a variety of useful professional approaches in teaching school mathematics. With a renewed interest in visuospatial reasoning in the mathematics education community, this volume is extremely timely and adds significantly to current literature on the topic.



Teacher and Librarian Partnerships in Literacy Education in the 21st Century

Teacher and Librarian Partnerships in Literacy Education in the 21st Century Author Joron Pihl
ISBN-10 9789463008990
Release 2017-03-22
Pages 8
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This volume explores teacher and librarian partnerships in literacy education, showing that such partnerships are essential to literacy education in 21st century. Teacher and librarian partnerships contribute significantly to the realization of the democratic mandate of the teaching and library profession. Partnerships respond to the educational challenges characterized by an unprecedented pace of knowledge development, digitalization, globalization and extensive transnational migration. The contributors reconceptualize literacy education based on teacher and librarian partnerships. Studies from Sweden, Norway and the U.K. analyze such partnerships as sociocultural and intercultural practices, documenting ways in which teacher and librarian partnerships in literacy education enhance reading literacy, learning, empowerment and social justice. The authors treat literacies as social practices, rather than as an autonomous skill, working with interdisciplinary perspectives that draw on educational research, New Literacy Studies, library and information science and interprofessional studies. Partnerships facilitate reading for pleasure and reading engagement in work with school subjects and curriculum goals, irrespective of socio-economic or cultural background or gender. The partnerships facilitate work with multimodal literacies and inquiry-based learning, both of which are essential in the 21st century. Equally important, the contributors show that the partnerships foster work with the multiple literacies of students and communities, and students’ attachment to the public and school library. The contributors also analyze tensions and contradictions in literacy education and in school library policy and practice, and attempts to deal with these challenges. Teacher and Librarian Partnerships in Literacy Education in the 21st Century brings together leading scholars in educational research and literacy studies, including Brian V. Street, Teresa Cremin, Joan Swann and Joron Pihl. The volume addresses scholars, and is relevant for students, teachers, librarians and politicians.



Literacy Instruction in Multilingual Classrooms

Literacy Instruction in Multilingual Classrooms Author Lori Helman
ISBN-10 9780807753361
Release 2012
Pages 127
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This hands-on guide shows elementary school teachers how to create multilingual classroom communities that support every learner's success in reading, writing, and general literacy development. The author provides a practical overview of key ideas and techniques and describes specific literacy activities that lead to vocabulary and oral English proficiency. Instructional chapters will help teachers create a language-rich classroom environment, scaffold reading and writing tasks to match students' needs, and use students' language backgrounds as a bridge to literacy learning in English. As with all titles in The Practitioner's Bookshelf Series, this resource includes many user-friendly features such as bulleted summaries and checklists as well as photographs of linguistically diverse classrooms modeling the types of instructional interactions described in the book.



Teaching Reading in Multilingual Classrooms

Teaching Reading in Multilingual Classrooms Author David E. Freeman
ISBN-10 0325002487
Release 2000
Pages 135
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David and Yvonne Freeman come to teachers' assistance with Teaching Reading in Multilingual Classrooms, in which they introduce core principles of effective reading practice. These principles form the basis of much of the book and help teachers plan their reading curriculum



Teaching the World s Children

Teaching the World s Children Author Mary Ashworth
ISBN-10 0887511120
Release 2004-01-01
Pages 101
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The language young children use is the language they learn. In clear, practical terms, this primer explains how early childhood educators and primary teachers can support the efforts of non-English speaking children in nursery schools, day care centres and classrooms to use -- and learn -- English as a second language. Loaded with ideas and down-to-earth advice from two highly experienced and internationally renowned ESL experts, it's an essential guide to developing a sensitive, welcoming program for all of the world's children.