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This book explains the origins of over 1500 mathematical terms used in English.
For more than 50 years, this classic reference has provided fundamental data in an accessible, concise form. This edition of the Mathematics Dictionary incorporates updated terms and concepts in its span of more than 8,000 topics from a broad spectrum of mathematical specialties. It features review-length descriptions of theories, practices and principles as well as a multilingual index.
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.
Volume III of the Handbook of Research in Second Language Teaching and Learning, like Volumes I and II, is a comprehensive, state-of-the-art overview of current research into social contexts of second language (L2)/foreign language (FL) teaching and learning; language policy; curriculum; types of instruction; incremental language skills such as listening, speaking, reading, writing, vocabulary, and grammar; international communication; pragmatics; assessment and testing. It differs from earlier volumes in its main purpose—to provide a more in-depth discussion and detailed focus on the development of the essential language skills required for any type of communication: speaking, listening, reading, vocabulary, grammar, and writing. Volume III preserves continuity with previous volumes in its coverage of all the classical areas of research in L2/FL teaching and learning and applied linguistics, but rather than offering a historical review of disciplinary traditions, it explores innovations and new directions of research, acknowledges the enormous complexity of teaching and learning the essential language abilities, and offers a diversity of perspectives. Chapter authors are all leading authorities in their disciplinary areas. What’s new in Volume III? Updates the prominent areas of research, including the sub-disciplines addressed in Volumes I and II, and represents the disciplinary mainstays Considers and discusses perspectives held by different schools of thought on the what, the how, and the why of teaching foundational language skills, including theories, pedagogical principles, and their implementation in practice Captures new and ongoing developments and trends in the key areas of L2/FL teaching and learning, and innovative research topics that have gained substantial recognition in current publications, including the role of corpora, technology, and digital literacy in L2/FL teaching and learning Examines new trends in language pedagogy and research, such as an increased societal emphasis on teaching academic language for schooling, somewhat contradictory definitions of literacy, and the growing needs for instruction in intercultural communication.
Do word problems and math vocabulary confuse students in your mathematics classes? Do simple keywords like "value" and "portion" seem to mislead them? Many words that students already know can have a different meaning in mathematics. To grasp that difference, students need to connect English literacy skills to math. Successful students speak, read, write, and listen to each other so they can understand, retain, and apply mathematics concepts. This book explains how to use 10 classroom-ready literacy strategies in concert with your mathematics instruction. You’ll learn how to develop students who are able to explain to themselves - and communicate to others - what problems mean and how to attack them. Embedding these strategies in your instruction will help your students gain the literacy skills required to achieve the eight Common Core State Standards for Mathematics. You’ll discover the best answer to their question, "When am I ever going to use this?" The 10 Strategies: 1. Teaching mathematical words explicitly 2. Teaching academic words implicitly 3. Reinforcing reading comprehension skills that apply to mathematics 4. Teaching mathematics with metaphor and gesture 5. Unlocking the meaning of word problems 6. Teaching note-taking skills for mathematics 7. Using language-based formative assessment in mathematics 8. Connecting memorization to meaning in mathematics 9. Incorporating writing-to-learn activities in mathematics 10. Preparing students for algebraic thinking
The book is the result of a five-year project that culminated (within the first three years) in doctoral research interrogating language competency for meaningful mathematics instruction at upper primary level conducted at University of Stellenbosch in 2017; and this book in the succeeding two years. The initial research project received countrywide coverage in several South African media outlets including Times Live and Radio 2000.