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The Language Of Mathematics

Author: Robert L. Baber
Publisher: John Wiley & Sons
ISBN: 1118061764
Size: 23.48 MB
Format: PDF, ePub
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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.

Academic Language In Diverse Classrooms Mathematics Grades 3 5

Author: Margo Gottlieb
Publisher: Corwin Press
ISBN: 1452278059
Size: 17.98 MB
Format: PDF
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Make every student fluent in the language of learning. The Common Core and ELD standards provide pathways to academic success through academic language. Using an integrated Curricular Framework, districts, schools and professional learning communities can: Design and implement thematic units for learning Draw from content and language standards to set targets for all students Examine standards-centered materials for academic language Collaborate in planning instruction and assessment within and across lessons Consider linguistic and cultural resources of the students Create differentiated content and language objectives Delve deeply into instructional strategies involving academic language Reflect on teaching and learning

Using Children S Literature To Teach Problem Solving In Math

Author: Jeanne White
Publisher: Routledge
ISBN: 1317909232
Size: 33.83 MB
Format: PDF, Mobi
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Learn how to use children’s literature to engage students in mathematical problem solving. Teaching with children’s literature helps build a positive math environment, encourages students to think abstractly, shows students the real-world purposes of math, builds content-area literacy, and appeals to students with different learning styles and preferences. This practical book provides specific children’s book ideas and standards-based lessons that you can use to bring math alive in your own classroom. Special Features: Step-by-step ideas for using children’s literature to teach lessons based on the Common Core Standards for Mathematical Content in kindergarten, first, and second grade Scripting, modeling, and discussion prompts for each lesson Information on alignment to the Standards for Mathematical Practice and how to put them into student-friendly language Reference to a wide variety of specific children’s literature that can provide a context for young children learning to engage in the standards Differentiated activities for students who are early, developing, and advanced problem solvers

Academic Language In Diverse Classrooms Mathematics Grades 6 8

Author: Margo Gottlieb
Publisher: Corwin Press
ISBN: 1452234833
Size: 12.34 MB
Format: PDF, Kindle
View: 315
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Make every student fluent in the language of learning. The Common Core and ELD standards provide pathways to academic success through academic language. Using an integrated Curricular Framework, districts, schools and professional learning communities can: Design and implement thematic units for learning Draw from content and language standards to set targets for all students Examine standards-centered materials for academic language Collaborate in planning instruction and assessment within and across lessons Consider linguistic and cultural resources of the students Create differentiated content and language objectives Delve deeply into instructional strategies involving academic language Reflect on teaching and learning

Using Developmentally Appropriate Practices To Teach The Common Core

Author: Lisa S. Goldstein
Publisher: Routledge
ISBN: 1317743636
Size: 13.95 MB
Format: PDF, Mobi
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Using Developmentally Appropriate Practices to Teach the Common Core: Grades PreK–3 provides current and prospective primary grade teachers with an understanding of the CCSS-ELA and CCSS-M that highlights their compatibility with developmentally appropriate practices (DAP), the instructional approach generally preferred by teachers of young children. The book begins by framing the CCSS as a distinct improvement over lengthy lists of academic content standards and as a carefully conceptualized and DAP-friendly set of curriculum guidelines. Next, the CCSS-ELA and CCSS-M for Grades K–3 are unpacked, analyzed, synthesized, and cross-referenced to key features of DAP. Finally, several "hot topic" issues—differentiating instruction to meet the needs of all learners, ensuring equitable access to the curriculum for English Language Learners, addressing assessment and accountability expectations, and educating parents and families about the CCSS and DAP—are prioritized and examined in depth. Using Developmentally Appropriate Practices to Teach the Common Core: Grades PreK–3 is a highly useful guide for both pre-service and in-service early childhood education teachers.

Beyond Answers

Author: Mike Flynn
Publisher: Stenhouse Publishers
ISBN: 1571109021
Size: 37.48 MB
Format: PDF, Kindle
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The Standards for Mathematical Practice are written in clear, concise language. Even so, to interpret them and visualize what they mean for your teaching practice isn't always easy. In this practical, easy-to-read book, Mike Flynn provides teachers with a clear and deep sense of these standards and shares ideas on how best to implement them in K-2 classrooms. Each chapter is dedicated to a different practice. Using examples from his own teaching and vignettes from many other K-2 teachers, Mike does the following: Invites you to break the cycle of teaching math procedurally Demonstrates what it means for children to understand--not just do--math Explores what it looks like when young children embrace the important behaviors espoused by the practices The book's extensive collection of stories from K-2 classroom provides readers with glimpses of classroom dialogue, teacher reflections, and examples of student work. Focus questions at the beginning of each vignette help you analyze the examples and encourage further reflection. Beyond Answers is a wonderful resource that can be used by individual teachers, study groups, professional development staff, and in math methods courses.

Introduction To Communication

Author: Susan O'Connell
Publisher: Heinemann Educational Books
ISBN: 9780325011066
Size: 68.98 MB
Format: PDF, ePub
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NCTM's Process Standards were designed to support teaching that helps children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every elementary teacher the opportunity to explore each one of the standards in depth. And with language and examples that don't require prior math training to understand, the series offers friendly, reassuring advice to any teacher preparing to embrace the Process Standards. In Introduction to Communication, Susan O'Connell shows you ways to help students explore, express, and better understand mathematical content through talking and writing. She offers an array of entry points for understanding, planning, and teaching, including strategies that help students put their ideas into words, clarify them, elaborate on them, and conjecture about them. Full of activities that are modifiable for immediate use with students of all levels and written by a veteran teacher for teachers of every level of experience, Introduction to Communication highlights the importance of encouraging children to develop insights through writing and speaking, while also recommending ways to implement language-based teaching without rewriting your curriculum. Best of all, like all the titles in the Math Process Standards Series, Introduction to Communication comes with two powerful tools to help you get started and plan well: a CD-ROM with activities customizable to match your lessons and a correlation guide that helps you match mathematical content with the processes it utilizes. If your students struggle to describe their mathematical thinking. Or if you're simply looking for new ways to work the communication standard into your curriculum, read, dog-ear, and teach with Introduction to Communication. And if you'd like to learn about any of NCTM's process standards, or if you're looking for new, classroom-tested ways to address them in your math teaching, look no further than Heinemann's Math Process Standards Series. You'll find them explained in the most understandable and practical way: from one teacher to another.

Latinos As And Mathematics Education

Author: Kip Téllez
Publisher: IAP
ISBN: 1617354228
Size: 80.25 MB
Format: PDF, ePub, Docs
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This book that explores the mathematics education of Latinos/as in 13 original research studies. Each chapter represents research that grounds mathematics instruction for Latinos/as in the resources to be found in culture and language. By inverting the deficit perspective, this volume redresses the shortcomings found in the previous literature on Latino/a learners. Each study frames language (e.g. bilingualism) not as an obstacle to learning, but as a resource for mathematical reasoning. Other chapters explore the notion of cultural variation not as a liability but as a tool for educators to build upon in the teaching of mathematics. Specifically, the book reframes culture as a focus on the practices, objects, inscriptions, or people that connect mathematical concepts to student thinking and experiences, both in and out of school. The book's four sections divide the research: The first section of the book focuses on mathematic learning in classrooms, specifically exploring bilingual, Latino/a students; the second section explores Latino/a learners in communities, including the role parents can play in advancing learning; the third section includes chapters focused on teacher professional growth; the final section concerns the assessment (and misassessment) of Latino/a learners. The research shared in this volume provides ample evidence that mathematics educators who choose to ignore language or culture in their pedagogy risk shortchanging their Latino/a students.

Winning At Math

Author: Paul D. Nolting
Publisher: Academic Success Press Inc.
ISBN: 9780940287341
Size: 16.75 MB
Format: PDF, ePub, Mobi
View: 5986
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