Teaching Math to Multilingual Students, Grades K-8


Book Description

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.




Language Development for Maths


Book Description

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.




The Language of Mathematics


Book Description

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.




Cognitive Foundations for Improving Mathematical Learning


Book Description

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




Teaching Mathematics to English Language Learners


Book Description

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.




The Development of Mathematical Skills


Book Description

Cutting edge research from a diverse range of viewpoints Central section dedicated to the arithmetical development of memory.




The Problem with Math Is English


Book Description

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.




Bringing Words to Life


Book Description

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.




EBOOK: Language for Learning Mathematics: Assessment for Learning in Practice


Book Description

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.




English Language Learners in the Mathematics Classroom


Book Description

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