Download or read book The Language of Mathematics written by Bill Barton and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Language Development for Maths written by Marion Nash and published by Routledge. This book was released on 2013-03-07 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the successful 'spirals' programme this series of books addresses language development in the three core areas of the curriculum. Linking the work done in school with simple games and activities to be used at home. All activities have been tried and tested - proven effectiveness. downloadable resources contain explanation and demonstration of the programme and its implementation, with commetns from staff who have used it.

Download or read book Teaching Math to Multilingual Students Grades K 8 written by Kathryn B. Chval and published by Corwin Press. This book was released on 2021-01-07 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.

Download or read book Cognitive Foundations for Improving Mathematical Learning written by David C. Geary and published by Academic Press. This book was released on 2019-01-03 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties

Download or read book Mathematical Thinking and Communication written by Mark Driscoll and published by Heinemann Educational Books. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language is deeply involved in learning mathematics as students both communicate and think about mathematical ideas. Because of this, teachers of English learners have particular challenges to overcome. Mathematical Thinking and Communication addresses perhaps the most significant challenge: providing access to mathematics for these students. For all students-and English learners in particular-access means finding effective, authentic ways to make language clear and thinking visible so they can reason more, speak more, and write more in mathematics. Based on extensive research and collaboration with teachers, coaches, and schools, Mark Driscoll, Johannah Nikula, and Jill Neumayer DePiper outline four principles for designing instruction that creates this kind of access: challenging tasks, multimodal representations, development of mathematical communication, and repeated structured practice. Starting from the perspective that English learners are capable of mathematical thinking (even as they are learning to express their ideas verbally), the authors highlight techniques for using gestures, drawings, models, manipulatives, and technology as tools for reasoning and communication. By embedding these visual representations into instruction-and encouraging their regular use-teachers support engagement in problem solving, facilitate mathematical dialogue, and notice evidence of students' thinking that propels them to create more engaging and equitable instruction. Enhanced by an extensive online collection of companion professional development resources, this book highlights classroom-ready strategies and routines for fostering mathematics success in all students and helping them recognize their potential.

Download or read book The Development of Mathematical Skills written by Chris Donlan and published by Psychology Press. This book was released on 2022-02-16 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting edge research from a diverse range of viewpoints Central section dedicated to the arithmetical development of memory.

Download or read book Language in Mathematics written by Jennie Bickmore-Brand and published by . This book was released on 1990 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a movement across Australia to pay a closer look at how mathematics can be integrated with the language arts philosophy and curriculum. Teachers are using literature to teach mathematical concepts, and modelling mathematical processing on process writing techniques. However, some fear that these activities could have the effect of trivialising mathematics. This book collates the writings of the major voices in the field of language and mathematics teaching. These writers warn of the dangers of both the traditional approach to teaching mathematics, and of current trends, and seek to offer constructive ways to maximise the contribution that language can make in generating, comprehending and expressing mathematical ideas and mathematical knowledge.

Download or read book Bringing Words to Life written by Isabel L. Beck and published by Guilford Press. This book was released on 2013-01-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hundreds of thousands of teachers have used this highly practical guide to help K–12 students enlarge their vocabulary and get involved in noticing, understanding, and using new words. Grounded in research, the book explains how to select words for instruction, introduce their meanings, and create engaging learning activities that promote both word knowledge and reading comprehension. The authors are trusted experts who draw on extensive experience in diverse classrooms and schools. Sample lessons and vignettes, children's literature suggestions, "Your Turn" learning activities, and a Study Guide for teachers enhance the book's utility as a classroom resource, professional development tool, or course text. The Study Guide can also be downloaded and printed for ease of use (www.guilford.com/beck-studyguide). New to This Edition *Reflects over a decade of advances in research-based vocabulary instruction. *Chapters on vocabulary and writing; assessment; and differentiating instruction for struggling readers and English language learners, including coverage of response to intervention (RTI). *Expanded discussions of content-area vocabulary and multiple-meaning words. *Many additional examples showing what robust instruction looks like in action. *Appendix with a useful menu of instructional activities. See also the authors' Creating Robust Vocabulary: Frequently Asked Questions and Extended Examples, which includes specific instructional sequences for different grade ranges, as well as Making Sense of Phonics, Second Edition: The Hows and Whys, by Isabel L. Beck and Mark E. Beck, an invaluable resource for K–3.

Download or read book Visible Learning for Mathematics Grades K 12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Download or read book Teaching Mathematics to English Language Learners written by Gladis Kersaint and published by Routledge. This book was released on 2014-06-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today's mathematics classrooms increasingly include students for whom English is a second language. Teaching Mathematics to English Language Learners provides readers a comprehensive understanding of both the challenges that face English language learners (ELLs) and ways in which educators might address them in the secondary mathematics classroom. Framed by a research perspective, Teaching Mathematics to English Language Learners presents practical instructional strategies for engaging learners that can be incorporated as a regular part of instruction. The authors offer context-specific strategies for everything from facilitating classroom discussions with all students, to reading and interpreting math textbooks, to tackling word problems. A fully annotated list of math web and print resources completes the volume, making this a valuable reference to help mathematics teachers meet the challenges of including all learners in effective instruction. Features and updates to this new edition include: An updated and streamlined Part 1 provides an essential overview of ELL theory in a mathematics specific context. Additional practical examples of mathematics problems and exercises make turning theory into practice easy when teaching ELLs New pedagogical elements in Part 3 include tips on harnessing new technologies, discussion questions and reflection points. New coverage of the Common Core State Standards, as well as updates to the web and print resources in Part 4.

Download or read book Reading and Writing to Learn Mathematics written by Joseph G. R. Martinez and published by Allyn & Bacon. This book was released on 2001 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows K-6 teachers how to teach math using writing and reading lessons and activities in accordance with NCTM standard #2, math-as-communication. Includes classroom examples, lessons, activities, and stories for teachers to show how everyday language skills can transfer to math learning. Illustrates how to make writing a meaningful part of cognitive as well as affective development, how to use reading and writing in assessment of math sills, and how to make reading-math assignments more meaningful.

Download or read book Teaching and Learning Mathematics in Multilingual Classrooms written by Anjum Halai and published by Springer. This book was released on 2015-12-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Problem with Math Is English written by Concepcion Molina and published by John Wiley & Sons. This book was released on 2012-09-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching K-12 math becomes an easier task when everyone understands the language, symbolism, and representation of math concepts Published in partnership with SEDL, The Problem with Math Is English illustrates how students often understand fundamental mathematical concepts at a superficial level. Written to inspire ?aha? moments, this book enables teachers to help students identify and comprehend the nuances and true meaning of math concepts by exploring them through the lenses of language and symbolism, delving into such essential topics as multiplication, division, fractions, place value, proportional reasoning, graphs, slope, order of operations, and the distributive property. Offers a new way to approach teaching math content in a way that will improve how all students, and especially English language learners, understand math Emphasizes major attributes of conceptual understanding in mathematics, including simple yet deep definitions of key terms, connections among key topics, and insightful interpretation This important new book fills a gap in math education by illustrating how a deeper knowledge of math concepts can be developed in all students through a focus on language and symbolism.

Download or read book EBOOK Language for Learning Mathematics Assessment for Learning in Practice written by Clare Lee and published by McGraw-Hill Education (UK). This book was released on 2006-06-16 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assessment for learning is a powerful way to raise standards and improve learning. However, as this book shows, effective assessment for learning in the mathematics classroom depends on pupils being able and willing to use mathematical language to express their ideas. When discussion, negotiation and explanation are encouraged, teachers use assessment for learning creatively, the work quickly becomes more challenging and the pupils come to see themselves as successful learners. Many pupils find it difficult to express ideas in mathematics because of problems with the language that is used to convey mathematical concepts. This book shows teachers how to help pupils express what they really know and understand, so that assessment for learning can be used. The book: Discusses what mathematical language is, and what it is not Suggests practical approaches to introducing more discourse into the classroom Explores the ideas of assessment for learning – rich questioning and dialogue, effective feedback, and peer and self assessment – and suggests how these can be used effectively in mathematics classrooms to improve learning Language for Learning Mathematics is key reading for teachers and trainee teachers in mathematics, as well as assessment advisors at LAs.

Download or read book Language Development for Maths written by Marion Nash and published by Routledge. This book was released on 2013-09-05 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building upon the successful 'spirals' programme this series of books addresses language development in three core areas of the curriculum. Linking the work done in school with the simple games and activities to be used at home. All activities have been tried and tested - proven effectiveness. the video CD with teachers' book contains explanations and demonstrations of the programme and its implementation, with comments from the staff who have used it.

Download or read book English Language Learners in the Mathematics Classroom written by Debra Coggins and published by Corwin Press. This book was released on 2007-01-30 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen mathematical understandings and academic vocabulary with standards-based strategies! With straightforward language and examples, the authors help teachers develop specialized understanding and knowledge of strategies for supporting a high level of mathematics learning along with language acquisition for ELLs. Providing specific suggestions for teaching standards-based mathematics, this resource: Demonstrates how to incorporate ELL supports and strategies through sample lessons Uses concrete materials and visuals to connect mathematical concepts with language development Focuses on essential mathematical vocabulary Includes brief research summaries with rationales for recommended practices

Download or read book Language and Mathematics Education written by Judit N. Moschkovich and published by IAP. This book was released on 2010-11-01 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutiérrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.