Teaching For Mathematical Understanding

Teaching For Mathematical Understanding Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Teaching For Mathematical Understanding book. This book definitely worth reading, it is an incredibly well-written.

Teaching for Thinking

Grace Kelemanik,Amy Lucenta
Teaching for Thinking Book PDF

Author : Grace Kelemanik,Amy Lucenta
Publisher : Unknown
Page : 184 pages
File Size : 43,8 Mb
Release : 2022-01-24
Category : Electronic
ISBN : 0325120072

Get Book

Teaching for Thinking by Grace Kelemanik,Amy Lucenta Pdf

Teaching our children to think and reason mathematically is a challenge, not because students can't learn to think mathematically, but because we must change our own often deeply-rooted teaching habits. This is where instructional routines come in. Their predictable design and repeatable nature support both teachers and students to develop new habits. In Teaching for Thinking, Grace Kelemanik and Amy Lucenta pick up where their first book, Routines for Reasoning, left off. They draw on their years of experience in the classroom and as instructional coaches to examine how educators can make use of routines to make three fundamental shifts in teaching practice: Focus on thinking: Shift attention away from students' answers and toward their thinking and reasoning Step out of the middle: Shift the balance from teacher-student interactions toward student-student interactions Support productive struggle: Help students do the hard thinking work that leads to real learning With three complete new routines, support for designing your own routine, and ideas for using routines in your professional learning as well as in your classroom teaching, Teaching for Thinking will help you build new teaching habits that will support all your students to become and see themselves as capable mathematicians.

Understanding and Teaching Primary Mathematics

Tony Cotton
Understanding and Teaching Primary Mathematics Book PDF

Author : Tony Cotton
Publisher : Routledge
Page : 352 pages
File Size : 48,9 Mb
Release : 2014-04-29
Category : Education
ISBN : 9781317614388

Get Book

Understanding and Teaching Primary Mathematics by Tony Cotton Pdf

How would you teach the concept of odd and even numbers to a child? What is the probability of throwing a three on a six-sided die? How could you help a child who is confusing ratio and proportion? By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any age. Written in a clear and accessible way, the book guides you through the fundamental ideas which are at the heart of teaching and learning maths, with special focus on observation and assessment of primary and early years children. Hallmark features Links to the classroom and research are provided throughout to help you relate educational theory to your own teaching practice. Portfolio and audit tasks allow you to assess your own subject knowledge and build up a portfolio of evidence to gain Qualified Teacher Status. The accompanying extra resources offers topic-specific self-audits for you to monitor your progress, exemplar lesson plans, a range of Portfolio Tasks mapped directly to current teacher standards and web-links to up-to-date online resources. New to this edition Resource Inspiration boxes give inviting examples of different activities to do with your class to provide inspiration for your own teaching. High quality videos with corresponding discussion, have been expertly selected from Teachers TV help to widen your skills and develop your practice, offering tips, lesson ideas and classroom resources.

Helping Children Learn Mathematics

National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee
Helping Children Learn Mathematics Book PDF

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee
Publisher : National Academies Press
Page : 52 pages
File Size : 47,7 Mb
Release : 2002-07-31
Category : Education
ISBN : 9780309131988

Get Book

Helping Children Learn Mathematics by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee Pdf

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we’re teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre--kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Teaching Student-Centered Mathematics Pearson Etext Access Code

John a. Van De Walle,Karen S. Karp,Jennifer M. Bay-Williams,LouAnn H. Lovin
Teaching Student Centered Mathematics Pearson Etext Access Code Book PDF

Author : John a. Van De Walle,Karen S. Karp,Jennifer M. Bay-Williams,LouAnn H. Lovin
Publisher : Pearson
Page : 421 pages
File Size : 45,8 Mb
Release : 2017-01-28
Category : Education
ISBN : 0134556402

Get Book

Teaching Student-Centered Mathematics Pearson Etext Access Code by John a. Van De Walle,Karen S. Karp,Jennifer M. Bay-Williams,LouAnn H. Lovin Pdf

NOTE: Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. This access code card provides access to the Enhanced Pearson eText. Helping students make connections between mathematics and their worlds-and helping them feel empowered to use math in their lives-is the focus of this widely popular guide. Designed for classroom teachers, the book focuses on specific grade bands and includes information on creating an effective classroom environment, aligning teaching to various standards and practices, such as the Common Core State Standards and NCTM's teaching practices, and engaging families. The first portion of the book addresses how to build a student-centered environment in which children can become mathematically proficient, while the second portion focuses on practical ways to teach important concepts in a student-centered fashion. The new edition features a corresponding Enhanced Pearson eText version with links to embedded videos, blackline masters, downloadable teacher resource and activity pages, lesson plans, activities correlated to the CCSS, and tables of common errors and misconceptions. Improve mastery and retention with the Enhanced Pearson eText This access code card provides access to the new Enhanced Pearson eText, a rich, interactive learning environment designed to improve student mastery of content with the following multimedia features: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad(R) and Android(R) tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText along with all the benefits of print for 40% to 50% less than a print bound book. *The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7- or 10- tablet, or iPad iOS 5.0 or later.

Mathematical Understanding for Secondary Teaching

Mary Kathleen Heid,Patricia S. Wilson,Glendon W. Blume
Mathematical Understanding for Secondary Teaching Book PDF

Author : Mary Kathleen Heid,Patricia S. Wilson,Glendon W. Blume
Publisher : Information Age Publishing
Page : 0 pages
File Size : 42,8 Mb
Release : 2015
Category : Education
ISBN : 168123114X

Get Book

Mathematical Understanding for Secondary Teaching by Mary Kathleen Heid,Patricia S. Wilson,Glendon W. Blume Pdf

A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level. The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use-each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice. Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations-examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.

Teaching Mathematical Thinking

Marian Small
Teaching Mathematical Thinking Book PDF

Author : Marian Small
Publisher : Teachers College Press
Page : 145 pages
File Size : 47,9 Mb
Release : 2017-03-17
Category : Education
ISBN : 9780807758564

Get Book

Teaching Mathematical Thinking by Marian Small Pdf

This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and to effectively and respectfully critique the reasoning of others (Standard 3). The author also discusses how to formatively assess student performance for each practice standard. To provide additional support to U.S. teachers in their instructional planning, this resource includes attention to the Canadian math processes of visualization and mental math and estimation. Book Features: Addresses common misunderstandings and places where teachers and students struggle. Provides lucid explanations of difficult concepts. Presents fresh and engaging teaching examples. Offers helpful troubleshooting tips. Includes examples of student work. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.

Knowing and Teaching Elementary Mathematics

Liping Ma
Knowing and Teaching Elementary Mathematics Book PDF

Author : Liping Ma
Publisher : Routledge
Page : 290 pages
File Size : 52,5 Mb
Release : 2010-03-26
Category : Education
ISBN : 9781135149499

Get Book

Knowing and Teaching Elementary Mathematics by Liping Ma Pdf

Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Teaching Numeracy

Margie Pearse,K. M. Walton
Teaching Numeracy Book PDF

Author : Margie Pearse,K. M. Walton
Publisher : Corwin Press
Page : 241 pages
File Size : 49,6 Mb
Release : 2011-03-23
Category : Education
ISBN : 9781452224404

Get Book

Teaching Numeracy by Margie Pearse,K. M. Walton Pdf

Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

Teaching Math to Multilingual Students, Grades K-8

Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Teaching Math to Multilingual Students Grades K 8 Book PDF

Author : Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Publisher : Corwin Press
Page : 317 pages
File Size : 44,7 Mb
Release : 2021-01-07
Category : Education
ISBN : 9781071810835

Get Book

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.

Teaching for Mathematical Understanding

Tony Cotton
Teaching for Mathematical Understanding Book PDF

Author : Tony Cotton
Publisher : Routledge
Page : 241 pages
File Size : 50,5 Mb
Release : 2016-06-17
Category : Education
ISBN : 9781317443292

Get Book

Teaching for Mathematical Understanding by Tony Cotton Pdf

Teaching for Mathematical Understanding develops the subject knowledge support and practical ideas from Tony Cotton’s Understanding and Teaching Primary Mathematics into resources for full lessons. With an emphasis on developing outstanding lessons using a problem-solving approach, this highly practical guide is packed with activities that all trainee and practising teachers can use in the primary classroom. Covering each area of mathematics, every activity offers helpful step-by-step guidance, including teaching and learning objectives; resources; lesson outlines; ideas for differentiation; assessment for learning and key probing questions. Also featured in this text are call-outs to the information contained in the book’s companion website, a shared site with a range of relevant resources to support and consolidate your learning. Teaching for Mathematical Understanding is an essential text for all trainee and practising teachers looking for inspiration and guidance towards outstanding mathematics teaching. Companion website features include: Video clips in which primary school teachers demonstrate concepts covered in the book through teaching to a real class PowerPoint presentations which provide support for those using the book as part of a teacher training course updated weblinks to external sites with useful teaching information and resources.

Mine the Gap for Mathematical Understanding, Grades K-2

John SanGiovanni
Mine the Gap for Mathematical Understanding Grades K 2 Book PDF

Author : John SanGiovanni
Publisher : Corwin Press
Page : 384 pages
File Size : 43,6 Mb
Release : 2016-11-15
Category : Education
ISBN : 9781506382296

Get Book

Mine the Gap for Mathematical Understanding, Grades K-2 by John SanGiovanni Pdf

Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our young learners’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality taskwhat you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct “gap” commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.

Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 8

John K. Lannin,Amy B. Ellis,Rebekah Elliott
Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten grade 8 Book PDF

Author : John K. Lannin,Amy B. Ellis,Rebekah Elliott
Publisher : National Council of Teachers of English
Page : 95 pages
File Size : 46,7 Mb
Release : 2011
Category : Effective teaching
ISBN : 0873536665

Get Book

Developing Essential Understanding of Mathematical Reasoning for Teaching Mathematics in Prekindergarten-grade 8 by John K. Lannin,Amy B. Ellis,Rebekah Elliott Pdf

How do your students determine whether a mathematical statement is true? Do they rely on a teacher, a textbook or various examples? How can you encourage them to connect examples, extend their ideas to new situations that they have not yet considered and reason more generally? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of mathematical reasoning requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about mathematical reasoning. It is organised around one big idea, supported by multiple smaller, interconnected ideas - essential understandings.Taking you beyond a simple introduction to mathematical reasoning, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students' understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

Making Sense

James Hiebert
Making Sense Book PDF

Author : James Hiebert
Publisher : Heinemann Educational Books
Page : 214 pages
File Size : 50,6 Mb
Release : 1997
Category : Education
ISBN : STANFORD:36105019325369

Get Book

Making Sense by James Hiebert Pdf

This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.

Strengths-Based Teaching and Learning in Mathematics

Beth McCord Kobett,Karen S. Karp
Strengths Based Teaching and Learning in Mathematics Book PDF

Author : Beth McCord Kobett,Karen S. Karp
Publisher : Corwin
Page : 273 pages
File Size : 48,7 Mb
Release : 2020-02-27
Category : Education
ISBN : 9781544374901

Get Book

Strengths-Based Teaching and Learning in Mathematics by Beth McCord Kobett,Karen S. Karp Pdf

"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.

Mine the Gap for Mathematical Understanding, Grades 6-8

John SanGiovanni,Jennifer Rose Novak
Mine the Gap for Mathematical Understanding Grades 6 8 Book PDF

Author : John SanGiovanni,Jennifer Rose Novak
Publisher : Corwin Press
Page : 408 pages
File Size : 41,9 Mb
Release : 2017-09-12
Category : Education
ISBN : 9781506379838

Get Book

Mine the Gap for Mathematical Understanding, Grades 6-8 by John SanGiovanni,Jennifer Rose Novak Pdf

See a gap in understanding? Mine it to move your students forward. How good are you at exploiting students’ mathematical mistakes? In this remarkable book, the authors remind us that student mistakes are not random, and when we take the time to “mine the gap,” we can dispel misunderstandings before they take root. Included are 180 downloadable high-quality tasks, aligned to the standards and big ideas of grades 6–8 mathematics. Each task includes sample student work, commentary on strengths and gaps, and next instructional steps. Whether you use this bank of tasks for instruction or assessment, you will love how it helps you easily identify students’ thinking and then follow up with instruction that brings clear, complete understanding.