Texas Edition of Elementary and Middle School Mathematics

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Publisher :
ISBN 13 : 9780137025084
Total Pages : 0 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis Texas Edition of Elementary and Middle School Mathematics by : John A. Van de Walle

Download or read book Texas Edition of Elementary and Middle School Mathematics written by John A. Van de Walle and published by . This book was released on 2009-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is fun to figure out the puzzle of how children go about making sense of mathematics and then how to help teachers help kids." John A. Van de Walle, Late of Virginia Commonwealth University This is the philosophy behind Elementary and Middle School Mathematics: Teaching Developmentally. John A. Van de Walle wrote this book to help students understand mathematics and become confident in their ability to teach the subject to children in kindergarten through eighth grade. Although he could not have foreseen the changes in mathematics teaching over the last three decades, he was at the forefront of the movement towards a constructivist view of teaching, or teaching developmentally. Constructivism says that children construct their own knowledge. They are not blank slates waiting to absorb whatever the teacher tells them. Teachers must understand both mathematics itself and how students learn mathematics in order to teach it effectively. Learning through problem solving is another major theme of this book. Students solve problems not just to apply mathematics, but also to learn new mathematics. Effective problems will take into account where students are, the problematic or engaging aspect of the problem must be due to the mathematics that the students are to learn and not be diluted by non-mathematical activities such as cutting or pasting, and the problem must require justifications and explanations for answers and methods. Learning then becomes an outcome of the problem solving process. The book also addresses in more detail than any other book on the market the effect that the trends of standards-based education, increased pressure to test, and increased teacher accountability have had on teaching mathematics. He addresses the 2000 NCTM Standards in depth, in Chapter 1 on Teaching Mathematics in the Era of the NCTM Standards, through the NCTM icon that appears in the margins throughout the text, and in two appendices in the back of the book. Chapter 5 on Building Assessment into Instruction has also been heavily revised to focus on increased testing pressure, creating more explicit links between objectives and assessment, and including assessments for students with special needs. Elementary and Middle School Mathematics: Teaching Developmentally is a book for doing math today for both students who want to become teachers, and the students they will eventually teach. New To This Edition: NEW! Revises Chapter 5 on assessment--Discusses increased testing pressure and accountability, adds more information on equitable assessments, creates more explicit links between objectives and assessment, and includes assessments for students with special needs. NEW! Updates the Literature Connections feature to remove all out of print children's literature and include more non-fiction, poetry, and other types of readings. NEW! Weaves the Focal Points throughout the chapters as well as links them with the Big Ideas feature Focal Points have also been added to the Appendix. NEW! Includes expanded coverage of working with diverse learners. NEW! Gives greater emphasis on dealing with math anxiety.

Elementary and Middle School Mathematics

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Author :
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 630 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elementary and Middle School Mathematics by : John A. Van de Walle

Download or read book Elementary and Middle School Mathematics written by John A. Van de Walle and published by Addison Wesley Publishing Company. This book was released on 1998 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: John A. Van de Walle has written a book that helps readers make sense of mathematics and become confident in their ability to teach mathematics to children K to 8. Elementatry and Middle School Mathematics consists of 16 chapters reflecting the view that all mathematics can be taught through a problem-solving approach that motivates children and builds their confidence as they learn. This book thoroughly discusses the new standards and clearly develops four key aspects of teaching mathematics: the nature of mathematics as a science of pattern and order; an understanding of how children learn mathematics; a problem solving view of teaching mathematics; and specific methods for integrating assessment with instruction. Simple yet effective classroom activities are woven throughout the chapters as well as suggestions for technology and literature.

Elementary and Middle School Mathematics

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Publisher : Pearson Education
ISBN 13 : 9780132612265
Total Pages : 0 pages
Book Rating : 4.6/5 (122 download)

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Book Synopsis Elementary and Middle School Mathematics by : John A. Van de Walle

Download or read book Elementary and Middle School Mathematics written by John A. Van de Walle and published by Pearson Education. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help teachers develop a real understanding of the mathematics they will teach and the most effective methods of teaching the various mathematics topics. This text reflects the NCTM and Common Core State Standards and the benefits of problem-based mathematics instruction. It is structured for maximum flexibility, offering 23 chapters that may be mixed and matched to fit any course or teaching approach. This comprehensive, practical text offers readers a strong theoretical perspective reflecting the most current research on how students learn mathematics, ways to best teach it, and many problem-based activities to engage students. An important reference to consult throughout a teaching career, Van de Walle, Karp and Bay-William's book helps teachers and their preK-8 students find the excitement that happens when mathematics makes sense.

Teaching Student-Centered Mathematics Access Code

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Publisher : Pearson
ISBN 13 : 9780134556451
Total Pages : pages
Book Rating : 4.5/5 (564 download)

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Book Synopsis Teaching Student-Centered Mathematics Access Code by : John a Van De Walle

Download or read book Teaching Student-Centered Mathematics Access Code written by John a Van De Walle and published by Pearson. This book was released on 2017-01-28 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. For courses in Elementary Mathematics Methods and for classroom teachers. A practical, comprehensive, student-centered approach to effective mathematical instruction for grades Pre-K-2. 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. This book is part of the Student-Centered Mathematics Series, which is designed with three objectives: to illustrate what it means to teach student-centered, problem-based mathematics, to serve as a reference for the mathematics content and research-based instructional strategies suggested for the specific grade levels, and to present a large collection of high quality tasks and activities that can engage students in the mathematics that is important for them to learn. 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. 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(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.

Elementary and Middle School Mathematics

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Author :
Publisher : Allyn & Bacon
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elementary and Middle School Mathematics by : John A. Van de Walle

Download or read book Elementary and Middle School Mathematics written by John A. Van de Walle and published by Allyn & Bacon. This book was released on 2007 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This leading K-8 math methods book has the most coverage of the NCTM standards, the strongest coverage of middle school mathematics, and the highest student approval of any math methods book currently available. Elementary and Middle School Mathematics provides an unparalleled depth of ideas and discussion to help readers develop a real understanding of the mathematics they teach. John Van de Walle, one of the foremost experts on how children learn mathematics, finds that 80 percent of the students who purchase this book keep it for reference when they begin their professional teaching careers. This book reflects the NCTM Principles and Standards and the benefits of constructivist-or student-centered-mathematics instruction. Improvements for the sixth edition include sections on planning for a diverse classroom and a completely new section addressing planning in a classroom where there are English language learners.

Elementary and Middle School Mathematics

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Author :
Publisher : Allyn & Bacon
ISBN 13 : 9780205493968
Total Pages : 509 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Elementary and Middle School Mathematics by : John A. Van de Walle

Download or read book Elementary and Middle School Mathematics written by John A. Van de Walle and published by Allyn & Bacon. This book was released on 2007 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This leading K-8 math methods book has the most coverage of the NCTM standards, the strongest coverage of middle school mathematics, and the highest student approval of any math methods book currently available.Elementary and Middle School Mathematics provides an unparalleled depth of ideas and discussion to help readers develop a real understanding of the mathematics they teach. John Van de Walle, one of the foremost experts on how children learn mathematics, finds that 80 percent of the students who purchase this book keep it for reference when they begin their professional teaching careers. This book reflects the NCTM Principles and Standards and the benefits of constructivist-or student-centered-mathematics instruction. Improvements for the sixth edition include sections on planning for a diverse classroom and a completely new section addressing planning in a classroom where there are English language learners.

Mathematics Content for Elementary Teachers

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Author :
Publisher : Routledge
ISBN 13 : 1135633797
Total Pages : 525 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Mathematics Content for Elementary Teachers by : Douglas K. Brumbaugh

Download or read book Mathematics Content for Elementary Teachers written by Douglas K. Brumbaugh and published by Routledge. This book was released on 2004-09-22 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.

Mathematics Content for Elementary and Middle School Teachers

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Author :
Publisher : Pearson
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Mathematics Content for Elementary and Middle School Teachers by : Barbara Ridener

Download or read book Mathematics Content for Elementary and Middle School Teachers written by Barbara Ridener and published by Pearson. This book was released on 2004 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short primer on each of the major math content areas that preservice and inservice elementary and middle school teachers are required to know. This book is an invaluable resource for the classroom teacher who needs both an overview for planning and help in answering student questions. Based broadly on the national standards, it gives the teacher general scientific information to cover most state's standards and to help prepare them for teacher certification exams. It also provides a strong overview of mathematical knowledge to allow the teacher to find information on important concepts, to see where significant moments in mathematical history fit chronologically, and to improve the teacher's understanding of mathematical ideas and concepts. Moreover, it saves professors from having to re-teach mathematics content so they can remain focused on the methods.

Visualizing Elementary and Middle School Mathematics Methods

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Author :
Publisher : Wiley Global Education
ISBN 13 : 1118213351
Total Pages : 546 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Visualizing Elementary and Middle School Mathematics Methods by : Joan Cohen Jones

Download or read book Visualizing Elementary and Middle School Mathematics Methods written by Joan Cohen Jones and published by Wiley Global Education. This book was released on 2011-11-15 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of Visualizing Elementary and Middle School Mathematics Methods is to teach mathematics in a way that excites and motivates readers, with an accessible format that serves as an introduction to the teaching of mathematics. This text, in partnership with National Geographic, is designed to present mathematics content and pedagogy in a fresh new way. This unique approach, while maintaining necessary rigor, provides the opportunity to set aside previous beliefs about mathematics and to learn concepts and pedagogy from a new perspective. The structure of Visualizing Elementary and Middle School Mathematics Methods is similar to the format of other methods texts, however, it has many unique features that are designed to be engaging and make the text relevant for readers. It begins with a brief summary of the history of mathematics. Diversity is integrated into the content of every chapter, through Multicultural Perspectives in Mathematics. Several chapters include Virtual Classroom Observation Videos.

Elementary and Middle School Mathematics

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Publisher :
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elementary and Middle School Mathematics by : John A. Van de Walle

Download or read book Elementary and Middle School Mathematics written by John A. Van de Walle and published by . This book was released on 2010 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary and Middle School Mathematics: Teaching Developmentally.

Mathematics Methods for Elementary and Middle School Teachers

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Author :
Publisher : Wiley
ISBN 13 : 9780471387961
Total Pages : 0 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Mathematics Methods for Elementary and Middle School Teachers by : Mary M. Hatfield

Download or read book Mathematics Methods for Elementary and Middle School Teachers written by Mary M. Hatfield and published by Wiley. This book was released on 2000-08-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition includes the new NCTM Principles and Standards for School Mathematics 2000. In addition, it addresses the newest NAEP data and findings from the TIMSS, while continuing its emphasis on cultural diversity. A CD-ROM with vignettes of real classroom situations helps reader study teaching practices as they naturally occur. These vignettes have been improved and expanded.

The Mathematics of the Elementary School

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Author :
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Mathematics of the Elementary School by : Edward Griffith Begle

Download or read book The Mathematics of the Elementary School written by Edward Griffith Begle and published by McGraw-Hill Companies. This book was released on 1975 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary and Middle School Mathematics: Teaching Developmentally, Global Edition

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Author :
Publisher : Pearson Higher Ed
ISBN 13 : 1292331445
Total Pages : 751 pages
Book Rating : 4.2/5 (923 download)

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Book Synopsis Elementary and Middle School Mathematics: Teaching Developmentally, Global Edition by : John A. Van de Walle

Download or read book Elementary and Middle School Mathematics: Teaching Developmentally, Global Edition written by John A. Van de Walle and published by Pearson Higher Ed. This book was released on 2019-12-16 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guide teachers to help all PreK-8 learners make sense of mathematics Elementary and Middle School Mathematics: Teaching Developmentally illustrates how children learn mathematics, and then shows pre-service teachers the most effective methods of teaching PreK-8 math through hands-on, problem-based activities. As teacher candidates engage with the activities, they boost their own knowledge of the math and learn concrete, developmentally appropriate ways to incorporate problem-based tasks in their classrooms. Examples of real student work and new common challenges and misconception tables allow readers to visualise good mathematics instruction and assessment that supports and challenges all learners. An important reference to consult throughout a teaching career, this book reflects the Common Core State Standards and NCTM’s Principles to Actions, as well as current research and coverage of the latest teaching technology. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Teaching Student-Centered Mathematics

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Author :
Publisher : Pearson
ISBN 13 : 0134081250
Total Pages : 497 pages
Book Rating : 4.1/5 (34 download)

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Book Synopsis Teaching Student-Centered Mathematics by : John A. Van de Walle

Download or read book Teaching Student-Centered Mathematics written by John A. Van de Walle and published by Pearson. This book was released on 2017-02-10 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 0134090691. 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. Invigorate learning with the Enhanced Pearson eText The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content with the following multimedia features: NEW! Embedded videos. The Enhanced Pearson eText now includes links to videos throughout the text that provide examples of students' misconceptions, expand on key concepts, and demonstrate how to implement strategies and techniques in real classrooms. NEW! Downloadable Teacher Resource and Activity Pages that support teaching activities such as formative assessment and team-building are now available in the Enhanced Pearson eText at the point of use. NEW! Downloadable Blackline Masters in Part 2 Chapters. Readers may download Blackline Masters that support the activities and Expanded Lessons by clicking on hyperlinks embedded in the Enhanced Pearson eText. Appendix E includes a list of the Blackline Masters and a thumbnail version of each. *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.

Math Circles for Elementary School Students

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Publisher : American Mathematical Soc.
ISBN 13 : 1470416956
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Math Circles for Elementary School Students by : Natasha Rozhkovskaya

Download or read book Math Circles for Elementary School Students written by Natasha Rozhkovskaya and published by American Mathematical Soc.. This book was released on 2014-11-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main part of this book describes the first semester of the existence of a successful and now highly popular program for elementary school students at the Berkeley Math Circle. The topics discussed in the book introduce the participants to the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. Each chapter in the first part of this book consists of two parts. It starts with generously illustrated sets of problems and hands-on activities. This part is addressed to young readers who can try to solve problems on their own or to discuss them with adults. The second part of each chapter is addressed to teachers and parents. It includes comments on the topics of the lesson, relates those topics to discussions in other chapters, and describes the actual reaction of math circle participants to the proposed activities. The supplementary problems that were discussed at workshops of Math Circle at Kansas State University are given in the second part of the book. The book is richly illustrated, which makes it attractive to its young audience. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Transformative Classroom Management

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Publisher : John Wiley & Sons
ISBN 13 : 0470565500
Total Pages : 391 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Transformative Classroom Management by : John Shindler

Download or read book Transformative Classroom Management written by John Shindler and published by John Wiley & Sons. This book was released on 2009-11-04 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transformative Classroom Management The natural condition of any classroom is harmonious, satisfying, and productive, so why do so many teachers struggle with problems of apathy, hostility, anxiety, inefficiency, and resistance? In this groundbreaking book, education expert John Shindler presents a powerful model, Transformative Classroom Management (TCM), that can be implemented by any teacher to restore the natural positive feelings in his or her classroom—the love of learning, collaboration, inspiration, and giving—and create a productive learning environment in which all students can achieve. Unlike other classroom management systems that view problems as something to be “handled,” TCM offers suggestions for creating optimal conditions for learning, performance, motivation, and growth. This practical book shows teachers how to abandon ineffective short-term gimmicks, bribes, and punishments and adopt the proven management practices and new habits of mind that will transform their classrooms. Praise for Transformative Classroom Management “Transformative Classroom Management is a practical resource that explains the how and why of classroom management for novice and veteran teachers. Dr. Shindler recognizes the importance of preserving the teacher’s sanity while ensuring the student’s development of a personal sense of responsibility and a positive self-esteem.” —Eileen Matus, principal, South Toms River Elementary School, New Jersey “I have read many other management books by other authors, but Transformative Classroom Management has been the best so far at demystifying the invisible forces in the classroom.” —WILL McELROY, 4th grade teacher, Los Angeles United School District “This book was an invaluable tool for me during my student teaching. It served as a reference book that I found myself continually drawn to while struggling to find ways to effectively manage 29 first graders. The ideas, concepts and suggestions in the book were so innovative and helpful that even my Master Teacher found herself implementing some of the ideas! A must have for all student teachers!” —Carol Gillon, student teacher, Seattle University “Insightful and thoroughly researched, Transformative Classroom Management is an invaluable tool to help teachers, newbies and veterans alike, develop fully functional and engaged learning communities.” —LISA GAMACHE RODRIGUEZ, teacher, Los Angeles Unified School District

Visible Learning for Mathematics, Grades K-12

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Author :
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.