Strengths-Based Teaching and Learning in Mathematics

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Author :
Publisher : Corwin Press
ISBN 13 : 1544374925
Total Pages : 189 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Strengths-Based Teaching and Learning in Mathematics by : Beth McCord Kobett

Download or read book Strengths-Based Teaching and Learning in Mathematics written by Beth McCord Kobett and published by Corwin Press. This book was released on 2020-02-27 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

Teaching Mathematics to All Children

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Author :
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Teaching Mathematics to All Children by : Benny F. Tucker

Download or read book Teaching Mathematics to All Children written by Benny F. Tucker and published by Prentice Hall. This book was released on 2006 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the composition of today's classroom in mind, this book approaches teaching and planning elementary mathematics by using methods that accommodate the diverse learning needs of any student having difficulties with basic math concepts. The authors use personal experience and research that supports a complete set of developmental concepts and skills to outline the effective development of mathematical concepts and skills. It stresses lesson planning that will result in learning, understanding, and retaining important concepts and skills. K-12 Special Education and General Education Teachers.

Teaching Math to Multilingual Students, Grades K-8

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Author :
Publisher : Corwin Press
ISBN 13 : 1071810839
Total Pages : 317 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Teaching Math to Multilingual Students, Grades K-8 by : Kathryn B. Chval

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.

Building Thinking Classrooms in Mathematics, Grades K-12

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Author :
Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

All the Mathematics You Missed

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Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302090854
Total Pages : 380 pages
Book Rating : 4.0/5 (98 download)

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Book Synopsis All the Mathematics You Missed by : Thomas A. Garrity

Download or read book All the Mathematics You Missed written by Thomas A. Garrity and published by 清华大学出版社有限公司. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

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Author :
Publisher : Corwin
ISBN 13 : 1071818430
Total Pages : 265 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 by : Jennifer M. Bay-Williams

Download or read book Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 written by Jennifer M. Bay-Williams and published by Corwin. This book was released on 2021-03-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Mathematics Instruction and Tasks in a PLC at Work

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Author :
Publisher :
ISBN 13 : 9781958590669
Total Pages : 0 pages
Book Rating : 4.5/5 (96 download)

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Book Synopsis Mathematics Instruction and Tasks in a PLC at Work by : Timothy D. Kanold

Download or read book Mathematics Instruction and Tasks in a PLC at Work written by Timothy D. Kanold and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematics Instruction and Tasks in a PLC at Work®, Second Edition by Mona Toncheff, Timothy D. Kanold, Sarah Schuhl, Bill Barnes, Jennifer Deinhart, Jessica Kanold-McIntyre, and Matthew R. Larson provides guidance for K-12 teachers to reflect on current lesson-design practices, compare those practices against high-quality standards of mathematics lesson design, and develop and use effective lessons that engage students within the mathematics classroom. Part of the Every Student Can Learn Mathematics series, it offers a comprehensive professional learning community (PLC) approach to sustaining deep change in mathematics achievement. The PLC at Work process is one of the best models that schools or districts can use to build a more equitable learning experience for students. Using the four critical questions of a PLC, teams will provide every mathematics student with common learning experiences, opportunities for sustained perseverance, and robust formative feedback. In this second edition, teachers will access new and updated tools to maximize their lesson-planning strategies in mathematics within the PLC framework"--

Making Sense of Mathematics for Teaching Grades 6-8

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Author :
Publisher : Solution Tree Press
ISBN 13 : 194249646X
Total Pages : 268 pages
Book Rating : 4.9/5 (424 download)

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Book Synopsis Making Sense of Mathematics for Teaching Grades 6-8 by : Edward C. Nolan

Download or read book Making Sense of Mathematics for Teaching Grades 6-8 written by Edward C. Nolan and published by Solution Tree Press. This book was released on 2016-04-13 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics. This user-friendly resource presents grades 6–8 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Make connections between elementary fraction-based content to fraction operations taught in the middle grades. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to grow as both learners and teachers of mathematics. Gain clarity about the most productive progression of mathematical teaching and learning for grades 6–8. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Fraction Operations and Integer Concepts and Operations 2 Ratios and Proportional Relationships 3 Equations, Expressions, and Inequalities 4 Functions 5 Measurement and Geometry 6 Statistics and Probability Epilogue: Next Steps References and Resources Index

Mathematics Unit Planning in a Plc at Work(r), Grades 6 - 8

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Author :
Publisher :
ISBN 13 : 9781951075279
Total Pages : 176 pages
Book Rating : 4.0/5 (752 download)

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Book Synopsis Mathematics Unit Planning in a Plc at Work(r), Grades 6 - 8 by : Sarah Schuhl

Download or read book Mathematics Unit Planning in a Plc at Work(r), Grades 6 - 8 written by Sarah Schuhl and published by . This book was released on 2020 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: What exactly do your students need to know by the end of each unit of mathematics study throughout the school year? This practical resource empowers teacher teams to collectively plan for and deliver highly effective units of study in grades 6-8. The authors clearly outline how to generate essential learning standards, create a team unit calendar, identify prior knowledge, and complete many other essential collaborative tasks. Use this resource to provide intermediate grade-level students with a more equitable mathematics learning experience Understand how to collaboratively plan mathematics units in grades 6-8 as a professional learning community (PLC). Study the seven unit-planning elements and learn how to incorporate each in essential unit design. Review the role of the PLC at Work® process in enhancing student learning and teacher collaboration. Observe three model units, one for each grade, for ratios and proportional reasoning. Receive tools and templates for effective unit planning. Contents: Acknowledgments Table of Contents About the Authors Introduction Part One: Mathematics Unit Planning and Design Elements Chapter 1: Planning for Student Learning of Mathematics in Grades 6-8 Chapter 2: Unit Planning as a Collaborative Mathematics Team Part Two: Ratios and Proportional Reasoning Examples, Grades 6-8 Chapter 3: Grade 6 Unit--Ratios and Rates Chapter 4: Grade 7 Unit--Proportional Reasoning Chapter 5: Grade 8 Unit--Linear Functions Epilogue Appendix A: Create a Proficiency Map Appendix B: Team Checklist and Questions for Mathematics Unit Planning References and Resources Index

Making Sense of Mathematics for Teaching, Grades 3-5

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Author :
Publisher : Solution Tree Press
ISBN 13 : 1942496435
Total Pages : 386 pages
Book Rating : 4.9/5 (424 download)

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Book Synopsis Making Sense of Mathematics for Teaching, Grades 3-5 by : Juli K. Dixon

Download or read book Making Sense of Mathematics for Teaching, Grades 3-5 written by Juli K. Dixon and published by Solution Tree Press. This book was released on 2016-04-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals

Teaching Math at a Distance, Grades K-12

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Author :
Publisher : Corwin Press
ISBN 13 : 1071837125
Total Pages : 194 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Teaching Math at a Distance, Grades K-12 by : Theresa Wills

Download or read book Teaching Math at a Distance, Grades K-12 written by Theresa Wills and published by Corwin Press. This book was released on 2020-10-12 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make Rich Math Instruction Come to Life Online In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual worksheets. Using both personal experience and those of teachers in real K-12 online classrooms, distance learning mathematics veteran Theresa Wills translates all we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue. This powerful guide equips math teachers to: Build students’ agency, identity, and strong math communities Promote mathematical thinking, collaboration, and discourse Incorporate rich mathematics tasks and assign meaningful homework and practice Facilitate engaging online math instruction using virtual manipulatives and other concrete learning tools Recognize and address equity and inclusion challenges associated with distance learning Assess mathematics learning from a distance With examples across the grades, links to tutorials and templates, and space to reflect and plan, Teaching Math at a Distance offers the support, clarity, and inspiration needed to guide teachers through teaching math remotely without sacrificing deep learning and academic growth.

Principles to Actions

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Publisher : National Council of Teachers of Mathematics, Incorporated
ISBN 13 : 9780873537742
Total Pages : 139 pages
Book Rating : 4.5/5 (377 download)

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Book Synopsis Principles to Actions by : National Council of Teachers of Mathematics

Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Making Sense of Mathematics for Teaching High School

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Author :
Publisher : Solution Tree Press
ISBN 13 : 1942496494
Total Pages : 231 pages
Book Rating : 4.9/5 (424 download)

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Book Synopsis Making Sense of Mathematics for Teaching High School by : Edward C. Nolan

Download or read book Making Sense of Mathematics for Teaching High School written by Edward C. Nolan and published by Solution Tree Press. This book was released on 2016-05-19 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Making Sense of Mathematics for Teaching the Small Group

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Author :
Publisher : Every Student Can Learn Mathem
ISBN 13 : 9781947604049
Total Pages : 0 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Making Sense of Mathematics for Teaching the Small Group by : Juli K. Dixon

Download or read book Making Sense of Mathematics for Teaching the Small Group written by Juli K. Dixon and published by Every Student Can Learn Mathem. This book was released on 2018-07-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When done right, small-group instruction is a powerful tool for facilitating student understanding in K-5 mathematics. Throughout the book, best practices for small-group math instruction are addressed in detail, from planning tasks that encourage deep understanding to asking effective questions to engaging learners in meaningful conversations. Readers will learn how teaching mathematics in small groups allows you to differentiate instruction for both remediation and enrichment. The included small-group instruction videos demonstrate the suggested strategies in a real-classroom setting, giving readers the opportunity to see best practice in action. Develop math-specific instruction strategies for teaching small groups in elementary school: Explore the benefits of small-group math activities and how these activities are unique compared to large-group instruction. Discover the teacher's and students' roles in small-group instruction and how teachers can help students develop the skills to fulfill their role. Learn how to apply the general tasks, questions, and evidence (TQE) process to small-group instruction in order to enhance student learning and improve your knowledge of teaching mathematics. View examples of small-group instruction, which provide both math intervention and math enrichment activities for different students. Contents: Acknowledgments Table of Contents About the Authors Introduction Chapter 1: Best Practices in Small-Group Instruction Chapter 2: The TQE Process in Small-Group Instruction Chapter 3: Discourse in Small-Group Instruction Epilogue: How to Tie It All Together References Index

Numeracy for All Learners

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Author :
Publisher : SAGE
ISBN 13 : 1529752256
Total Pages : 225 pages
Book Rating : 4.5/5 (297 download)

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Book Synopsis Numeracy for All Learners by : Pamela D. Tabor

Download or read book Numeracy for All Learners written by Pamela D. Tabor and published by SAGE. This book was released on 2020-09-30 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs. It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs from Pre-K through secondary school. Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework.

Making Sense of Math

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Author :
Publisher : ASCD
ISBN 13 : 141662242X
Total Pages : 61 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Making Sense of Math by : Cathy L. Seeley

Download or read book Making Sense of Math written by Cathy L. Seeley and published by ASCD. This book was released on 2016-04-05 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Making Sense of Math, Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, shares her insight into how to turn your students into flexible mathematical thinkers and problem solvers. This practical volume concentrates on the following areas: * Making sense of math by fostering habits of mind that help students analyze, understand, and adapt to problems when they encounter them. * Addressing the mathematical building blocks necessary to include in effective math instruction. * Turning teaching “upside down” by shifting how we teach, focusing on discussion and analysis as much as we focus on correct answers. * Garnering support for the changes you want to make from colleagues and administrators. Learn how to make math meaningful for your students and prepare them for a lifetime of mathematical fluency and problem solving.

The Mathematics That Every Secondary School Math Teacher Needs to Know

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Author :
Publisher : Routledge
ISBN 13 : 1315391899
Total Pages : 760 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis The Mathematics That Every Secondary School Math Teacher Needs to Know by : Alan Sultan

Download or read book The Mathematics That Every Secondary School Math Teacher Needs to Know written by Alan Sultan and published by Routledge. This book was released on 2017-07-20 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided