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Math is Language Too by Phyllis Whitin,David Jackman Whitin Pdf
Describes strategies for helping children learn about math in which students write, draw, and talk to each other about the individual ways they work through math concepts.
The Language of Mathematics by Robert L. Baber Pdf
A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.
The Problem with Math Is English by Concepcion Molina Pdf
Teaching K-12 math becomes an easier task when everyoneunderstands the language, symbolism, and representation of mathconcepts Published in partnership with SEDL, The Problem with Math IsEnglish illustrates how students often understand fundamentalmathematical concepts at a superficial level. Written to inspire?aha? moments, this book enables teachers to help students identifyand comprehend the nuances and true meaning of math concepts byexploring 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 waythat will improve how all students, and especially English languagelearners, understand math Emphasizes major attributes of conceptual understanding inmathematics, 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 byillustrating how a deeper knowledge of math concepts can bedeveloped in all students through a focus on language andsymbolism.
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.
Teaching Math to Multilingual Students, Grades K-8 by Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow Pdf
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.
Join Lucy, Benjamin, and Bear on their next math adventure. Hooray! It's Bear's birthday. But Lucy's cake falls flat and the party will be a flop unless they can bake a just-right cake in this book about everyday math and perseverance.The Little Elephants' Big Adventures series teaches early childhood math with fun adventures filled with mathematical words. This book uses the concepts of same, similar, different, and enough. Parents can expand the learning with questions to spark conversation. The books are a collaboration of the Purdue Early Achievement Research Labs.
The Language of Math by Marilyn M. Toomey,Kevin M. Newman Pdf
Designed to help students identify terms associated with quantity, order math operations and principles of math in daily experience and also to suggest ways of "talking through" simple math operations and the reasons supporting them. For early primary grade students.
"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
Mathematics, like language, is a universal experience. Every society counts and is empowered by its ability to count and to measure. The mathematical processes developed within various cultures differ widely, and Count Us In explores these cultural links, drawing examples from the author’s personal experiences. The process of counting, like the process of communicating with words, is common to all societies worldwide but, just as there is a rich variety of languages, so too is there a rich variety in methods of counting and of recording numbers – methods that have developed over centuries to meet the needs of various groups of people. The narrative of this book takes the form of a collection of short stories based on the author’s personal experience, linked together by a number of sub-themes. As a popular book on mathematics and on the personalities who created that mathematics, there are no prerequisites beyond the reader’s rudimentary and possibly hazy recollection of primary-school mathematics and a curiosity to know more.
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
Integrating Literacy and Math by Ellen Fogelberg,Carole Skalinder,Patti Satz,Barbara Hiller,Lisa Bernstein,Sandra Vitantonio Pdf
Many K–6 teachers--and students--still think of mathematics as a totally separate subject from literacy. Yet incorporating math content into the language arts block helps students gain skills for reading many kinds of texts. And bringing reading, writing, and talking into the math classroom supports the development of conceptual knowledge and problem solving, in addition to computational skills. This invaluable book thoroughly explains integrated instruction and gives teachers the tools to make it a reality. Grounded in current best practices for both language arts and math, the book includes planning advice, learning activities, assessment strategies, reproducibles, and resources, plus a wealth of examples from actual classrooms.
Language Building Blocks is an accessible resource that familiarizes early childhood professionals with linguistics, the scientific study of language. Knowledge of linguistics will enable early childhood educators to successfully teach young children core competencies, ranging from phonemic awareness, reading and math, to health literacy and intercultural awareness. The text includes numerous real-life examples for diverse age groups and learning styles. The online Resource Guide provides hands-on activities and contributions by top scholars in the field. This resource shows teachers how to systematically empower and include all children. This teacher-friendly book: Provides an enhanced understanding of language and language acquisition, minimizing misdiagnoses of special needs.Makes language come alive for children and educators preparing for the Praxis Test.Demonstrates that children develop key skills when they can (dis)assemble language.Highlights approaches Dr. Seuss used to make reading fun for young readers.Offers innovative language and literacy observation and enhancement strategies, including multilingual math and literacy, language exploration, and play.Illustrates the value of observation, collaboration, and inquiry in early learning. “The great value of this resource is that it offers numerous 'bridging' reflections, strategies, and specific instructional interventions. It is a must for any educator that must understand the significant link between language and achievement in schooling contexts.” —From the Foreword by Eugene García “An extraordinarily informative, useful, and highly accessible tool for educators of young children of all language backgrounds. An excellent resource for teacher preparation and professional development.” —Dorothy S. Strickland, Samuel DeWitt Proctor Professor of Education, Emerita, Distinguished Research Fellow, National Institute for Early Education Research (NIEER), Rutgers, The State University of New Jersey “Informativo! Educators must know how to break down language, how discourse mirrors culture, and how Spanish and other languages promote success in core content areas.” —Rossana Ramirez Boyd, President, National Association for Bilingual Education “A truly necessary guide to understanding language for early childhood teachers in today’s multicultural and multilingual world. Pandey clearly explains the fullness and potential of linguistic knowledge in teaching, honoring the role of the reflective teacher, and celebrating the uniqueness of young children and their languages worldwide.” —Debora B. Wisneski, University of Nebraska at Omaha, President, Association for Childhood Education International (ACEI) Anita Pandey is professor of linguistics and coordinator of Professional Communication in the Department of English and Language Arts at Morgan State University, Baltimore, Maryland.
Demystify Math, Science, and Technology by Dennis Adams,Mary Hamm Pdf
In a rapidly evolving local and global economy, skills related to mathematical problem solving, scientific inquiry, and technological innovation are becoming more critical for success in and out of school. Thus, Demystify Math, Science, and Technology addresses the need to cultivate these skills in young students so that ingenuity, teamwork, and imaginative skills become part of their arsenal in dealing with real world challenges.
Guided Math: A Framework for Mathematics Instruction Second Edition by Laney Sammons Pdf
This instructional math framework provides an environment for mathematics that fosters mathematical thinking and understanding while meeting the needs of all students. This updated math resource takes an innovative approach to mathematics instruction and uses the same teaching philosophies for guided reading. Educators will learn how to effectively utilize small-group and whole-group instruction, manipulatives, math warm-ups, and Math Workshop to engage K-12 students in connecting mathematics to their own lives. Maximize the impact of your instruction with ideas for using ongoing assessment and differentiation strategies. This 2nd edition guided math resource written by Laney Sammons provides practical guidance and sample lessons for grade level bands K-2, 3-5, 6-8, and 9-12. Promote a classroom environment of numeracy and mathematical discourse with this essential professional resource for K-12 math teachers!
