Learning And Teaching Early Math

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Learning and Teaching Early Math

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 1135843791
Total Pages : 669 pages
Book Rating : 4.1/5 (358 download)

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Book Synopsis Learning and Teaching Early Math by : Douglas H. Clements

Download or read book Learning and Teaching Early Math written by Douglas H. Clements and published by Routledge. This book was released on 2009-04-01 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.

Learning and Teaching Early Math

Author : Douglas H. Clements
Publisher : Routledge
ISBN 13 : 1134080719
Total Pages : 380 pages
Book Rating : 4.1/5 (34 download)

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Book Synopsis Learning and Teaching Early Math by : Douglas H. Clements

Download or read book Learning and Teaching Early Math written by Douglas H. Clements and published by Routledge. This book was released on 2014-05-23 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child’s level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.

Big Ideas of Early Mathematics

Author : The Early Math Collaborative- Erikson Institute
Publisher : Pearson Higher Ed
ISBN 13 : 0133259951
Total Pages : 209 pages
Book Rating : 4.1/5 (332 download)

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Book Synopsis Big Ideas of Early Mathematics by : The Early Math Collaborative- Erikson Institute

Download or read book Big Ideas of Early Mathematics written by The Early Math Collaborative- Erikson Institute and published by Pearson Higher Ed. This book was released on 2013-04-25 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0133548635. In this unique guide, classroom teachers, coaches, curriculum coordinators, college students, and teacher educators get a practical look at the foundational concepts and skills of early mathematics, and see how to implement them in their early childhood classrooms. Big Ideas of Early Mathematics presents the skills educators need to organize for mathematics teaching and learning during the early years. For teachers of children ages three through six, the book provides foundations for further mathematics learning and helps facilitate long-term mathematical understanding. The Enhanced Pearson eText features embedded video. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: 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® and Android® tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText for 40-65% 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.

Early Childhood Mathematics Education Research

Author : Julie Sarama
Publisher : Routledge
ISBN 13 : 1135592497
Total Pages : 440 pages
Book Rating : 4.1/5 (355 download)

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Book Synopsis Early Childhood Mathematics Education Research by : Julie Sarama

Download or read book Early Childhood Mathematics Education Research written by Julie Sarama and published by Routledge. This book was released on 2009-04-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.

Early Mathematics Learning

Author : Ulrich Kortenkamp
Publisher : Springer Science & Business Media
ISBN 13 : 1461446783
Total Pages : 326 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Early Mathematics Learning by : Ulrich Kortenkamp

Download or read book Early Mathematics Learning written by Ulrich Kortenkamp and published by Springer Science & Business Media. This book was released on 2013-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.

Teaching and Learning Mathematics Online

Author : James P. Howard, II
Publisher : CRC Press
ISBN 13 : 1351245570
Total Pages : 439 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Teaching and Learning Mathematics Online by : James P. Howard, II

Download or read book Teaching and Learning Mathematics Online written by James P. Howard, II and published by CRC Press. This book was released on 2020-05-10 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses

Special Issues in Early Childhood Mathematics Education Research

Author :
Publisher : BRILL
ISBN 13 : 9004510680
Total Pages : 323 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis Special Issues in Early Childhood Mathematics Education Research by :

Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.

Precursor Math Concepts

Author : Mary Hynes-Berry
Publisher :
ISBN 13 : 9780807766118
Total Pages : 112 pages
Book Rating : 4.7/5 (661 download)

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Book Synopsis Precursor Math Concepts by : Mary Hynes-Berry

Download or read book Precursor Math Concepts written by Mary Hynes-Berry and published by . This book was released on 2021-11-26 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts--Attribute, Comparison, Change, and Pattern--with an emphasis on how development occurs when it is nurtured by loving knowledgeable others. The authors call this the CAIR principle: Closely Attend & Intentionally Respond. Sharing their stories of working with a wide range of zero to three caregivers and educators, the authors stress the difference between arithmetic skills and their definition of mathematics as "a logical way of thinking that allows for increasing precision." Each user-friendly chapter includes suggestions for highly effective practices that are embedded into everyday interactions and routines. Early care providers can use this resource to develop young children's interest in mathematics, ensuring that they are ready for the big ideas they will encounter in preschool. Book Features: Combines the most current research on infant and toddler cognitive development in relation to mathematical thinking. Offers concrete ways to help caregivers and professionals draw out the math that is all around us. Blends three domains of human development--social-emotional, physical, and cognitive. Examines the What, Who, and How of each precursor concept, with authentic anecdotes and "What the Research Says" sections.

Exploring Mathematics Through Play in the Early Childhood Classroom

Author : Amy Noelle Parks
Publisher : Teachers College Press
ISBN 13 : 0807773476
Total Pages : 161 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Exploring Mathematics Through Play in the Early Childhood Classroom by : Amy Noelle Parks

Download or read book Exploring Mathematics Through Play in the Early Childhood Classroom written by Amy Noelle Parks and published by Teachers College Press. This book was released on 2015-04-28 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed throughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking—such as perseverance and attention to precision. This book will help put play back into the early childhood classroom where it belongs. Book Features: Makes explicit connections to play and the Common Core State Standards in Mathematics. Offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play. Provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress. Includes highlight boxes with recommended resources, questions for reflection, key research findings, vocabulary, lesson plan templates, and more. “This is one of those books that I wish I had written. It is smart, readable, relevant, and authentically focused on children.” —From the Foreword by Elizabeth Graue, Sorenson Professor of Early Childhood Education, University of Wisconsin “In this deceptively easy-to-read book, Amy Parks explains two things that could make a world of difference in early childhood and elementary classrooms: Mathematics isn’t something in a workbook—it’s a fascinating part of the real world; And playing in school isn’t a luxury—it’s an essential context for learning about all sorts of things, including mathematics. Through vignettes of children learning mathematics as they play, Parks helps teachers recognize their ‘answerability to the moment,’ eschewing someone else’s determination of ‘best practice’ in favor of what works with actual children eager to learn mathematics.” —Rebecca New, School of Education, University of North Carolina at Chapel Hill

The Young Child and Mathematics, Third Edition

Author : Angela Chan Turrou
Publisher :
ISBN 13 : 9781938113932
Total Pages : 128 pages
Book Rating : 4.1/5 (139 download)

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Book Synopsis The Young Child and Mathematics, Third Edition by : Angela Chan Turrou

Download or read book The Young Child and Mathematics, Third Edition written by Angela Chan Turrou and published by . This book was released on 2021-10 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!

Teaching Mathematics in Early Childhood

Author : Sally Moomaw
Publisher : Brookes Publishing Company
ISBN 13 : 9781598571196
Total Pages : 0 pages
Book Rating : 4.5/5 (711 download)

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Book Synopsis Teaching Mathematics in Early Childhood by : Sally Moomaw

Download or read book Teaching Mathematics in Early Childhood written by Sally Moomaw and published by Brookes Publishing Company. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes bibliographical references (p. ) and index.

Visible Learning for Mathematics, Grades K-12

Author : John Hattie
Publisher : Corwin Press
ISBN 13 : 1506362958
Total Pages : 209 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Visible Learning for Mathematics, Grades K-12 by : John Hattie

Download or read book Visible Learning for Mathematics, Grades K-12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Mathematics Learning in Early Childhood

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309147433
Total Pages : 399 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics Learning in Early Childhood by : National Research Council

Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Early Numeracy

Author : Robert J Wright
Publisher : SAGE
ISBN 13 : 1446203956
Total Pages : 224 pages
Book Rating : 4.4/5 (462 download)

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Book Synopsis Early Numeracy by : Robert J Wright

Download or read book Early Numeracy written by Robert J Wright and published by SAGE. This book was released on 2006-01-05 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Unlike many books based on research work this book doesn't just let teachers know what is going wrong with children's learning it actually gives some practical advice about what to do next. The whole book is based upon extensive observation and recording of individual children and their difficulties with mathematics. These children are the most difficult to plan for in a busy classroom and the authors appreciate the small steps and the different learning styles approaches needed for these children. This approach fits well with the NNS wave and springboard materials but takes the analysis of the individual's difficulties to a more detailed level. The book brings together research carried out across a range of countries and therefore shows the versatility of the approaches taken. This will be a very useful book for trainee teachers as it exemplifies how to use assessment to feed into teaching. It will be helpful for class teachers and mathematics co-ordinators as well as SENCOs to assist in improving the teaching and learning for specific children in our schools' - Mary Briggs, Primary and Early Years PGCE Co-ordinator, Institute of Education, University of Warwick 'This is a highly practical resource that will be appreciated by classroom and specialist teachers alike. It will provide teachers new to the Math Recovery program with practical help and support to diagnose errors and misconceptions in early numeracy. Practicing Math Recovery Specialists will be thrilled with the addition of four new highly focused assessments and an elaboration of the Learning Framework in Number. Early Numeracy is admirably grounded in international research and well-established theory, characteristics that are much sought after in the current data driven educational environment. Like many others, I was drawn to Math Recovery after reading the first edition of Early Numeracy. This second edition is a treasure - it is exciting to consider the impact it will have on children and teachers, and to the growth of the Math Recovery program' - Audrey Murray, Lead Teacher, Midwest Math Recovery Training Center, Minneapolis This text has been fully updated to include developments and refinements brought about by widespread international application of the assessment tools in the Mathematics Recovery Programme. The book will help practitioners to identify and provide detailed analyses of all children but especially those who are able and those who underachieve in early numeracy. It will enable teachers, learning support personnel, numeracy consultants and educational psychologists to advise colleagues and parents on children's number knowledge and strategies for early numeracy. The Mathematics Recovery Programme has been successfully applied in Australia, the United Kingdom and Ireland, the United States and Canada, both in specialist interventions and classroom settings. The revised version shows how familiarisation with, and understanding of, the diagnostic assessment tools has allowed teachers to become more knowledgeable in understanding children's difficulties and misconceptions, and more skilled and confident in planning programmes of intervention and monitoring the children's progress. This new edition includes: - Integrated frameworks of useful tasks for assessing children's number knowledge and strategies; - Four separate and revised diagnostic assessment interviews; - Assessments for addition and subtraction strategies, Base Ten Arithmetical strategies, Early Grouping strategies, and Advanced Grouping strategies in the four operations; - How the assessment process has impacted significantly on teachers' professional development and contributed to the raising of standards in early numeracy.

How to Teach Math to Children

Author : Joohi Lee
Publisher :
ISBN 13 : 9781516554676
Total Pages : 88 pages
Book Rating : 4.5/5 (546 download)

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Book Synopsis How to Teach Math to Children by : Joohi Lee

Download or read book How to Teach Math to Children written by Joohi Lee and published by . This book was released on 2016-08-10 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to Teach Math to Children is based on National Council of Teachers of Mathematics standards and aims to help early childhood educators understand developmentally appropriate pedagogy in order to promote children's knowledge and skills. This new edition provides information about how NCTM standards and Common Core Math Standards are aligned. Over the course of ten chapters readers learn important background information about school mathematics and young learners, and how to help children acquire important math knowledge and skills. The book provides useful, practical information on developing number sense, promoting algebraic thinking, teaching geometry, assessment of student learning, and approaching measurement, data analysis, and probability with young children. All chapters feature excellent graphic support and all include clear and measurable learning expectations. Each chapter concludes with a reﬂection note that is specifically designed for pre-service teachers to encourage students to explore learning outside the classroom whether through class observations or technology. How to Teach Math to Children is an excellent resource for courses on early math education and instructional strategies.

Growing Mathematical Minds

Author : Jennifer S. McCray
Publisher : Routledge
ISBN 13 : 131729517X
Total Pages : 244 pages
Book Rating : 4.3/5 (172 download)

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Book Synopsis Growing Mathematical Minds by : Jennifer S. McCray

Download or read book Growing Mathematical Minds written by Jennifer S. McCray and published by Routledge. This book was released on 2018-08-16 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growing Mathematical Minds is the documentation of an innovative, bi-directional process of connecting research and practice in early childhood mathematics. The book translates research on early mathematics from developmental psychology into terms that are meaningful to teachers and readily applicable in early childhood classrooms. It documents teacher responses, and conveys their thoughts and questions back to representative researchers, who reply in turn. In so doing, this highly useful book creates a conversation, in which researchers and teachers each bring their expertise to bear; their communication about these topics—informed by the thinking, commitment, and experience of both groups—helps us better understand how developmental psychology can improve math teaching, and how math teaching can, in turn, inform developmental science. The book bridges the gap between research and practice, helping teachers to adopt evidence-based practices and apply cutting-edge research findings, and prompting developmental researchers to consider their work within the framework of practice. Growing Mathematical Minds identifies and elucidates research with profound implications for teaching children from three to eight years so they develop foundational math knowledge and skills, positive attitudes toward math, and basic abilities to think mathematically.

Teaching Mathematics in the Visible Learning Classroom, Grades 3-5

Author : John Almarode
Publisher : Corwin Press
ISBN 13 : 1544333250
Total Pages : 281 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Teaching Mathematics in the Visible Learning Classroom, Grades 3-5 by : John Almarode

Download or read book Teaching Mathematics in the Visible Learning Classroom, Grades 3-5 written by John Almarode and published by Corwin Press. This book was released on 2019-02-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you generate that lightbulb “aha” moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it’s not only what works, but when. A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.