Learning and Teaching Early Math

Learning and Teaching Early Math

PDF Learning and Teaching Early Math Download

  • Author: Douglas H. Clements
  • Publisher: Routledge
  • ISBN: 1134080786
  • Category : Education
  • Languages : en
  • Pages : 741

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.


Learning and Teaching Early Math

Learning and Teaching Early Math

PDF Learning and Teaching Early Math Download

  • Author: Douglas H. Clements
  • Publisher: Routledge
  • ISBN: 1135843791
  • Category : Education
  • Languages : en
  • Pages : 669

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

Learning and Teaching Early Math

PDF Learning and Teaching Early Math Download

  • Author: Douglas H. Clements
  • Publisher: Routledge
  • ISBN: 1134080719
  • Category : Education
  • Languages : en
  • Pages : 380

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

Big Ideas of Early Mathematics

PDF Big Ideas of Early Mathematics Download

  • Author: The Early Math Collaborative- Erikson Institute
  • Publisher: Pearson Higher Ed
  • ISBN: 0133259951
  • Category : Education
  • Languages : en
  • Pages : 209

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.


Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12

PDF Visible Learning for Mathematics, Grades K-12 Download

  • Author: John Hattie
  • Publisher: Corwin Press
  • ISBN: 1506362958
  • Category : Education
  • Languages : en
  • Pages : 209

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.


Early Mathematics Learning

Early Mathematics Learning

PDF Early Mathematics Learning Download

  • Author: Ulrich Kortenkamp
  • Publisher: Springer Science & Business Media
  • ISBN: 1461446783
  • Category : Education
  • Languages : en
  • Pages : 326

​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.​


Early Childhood Mathematics Education Research

Early Childhood Mathematics Education Research

PDF Early Childhood Mathematics Education Research Download

  • Author: Julie Sarama
  • Publisher: Routledge
  • ISBN: 1135592497
  • Category : Education
  • Languages : en
  • Pages : 440

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.


Teaching Mathematics in Early Childhood

Teaching Mathematics in Early Childhood

PDF Teaching Mathematics in Early Childhood Download

  • Author: Sally Moomaw
  • Publisher: Brookes Publishing Company
  • ISBN: 9781598571196
  • Category : Education
  • Languages : en
  • Pages : 0

Includes bibliographical references (p. ) and index.


Special Issues in Early Childhood Mathematics Education Research

Special Issues in Early Childhood Mathematics Education Research

PDF Special Issues in Early Childhood Mathematics Education Research Download

  • Author:
  • Publisher: BRILL
  • ISBN: 9004510680
  • Category : Education
  • Languages : en
  • Pages : 323

In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.


Teaching Early Math Skills with Favorite Picture Books

Teaching Early Math Skills with Favorite Picture Books

PDF Teaching Early Math Skills with Favorite Picture Books Download

  • Author: Constance Leuenberger
  • Publisher: Teaching Resources
  • ISBN: 9780439572194
  • Category : Critical thinking
  • Languages : en
  • Pages : 0

Math lessons based on popular books that connect to the standards and build skills in problem solving and critical thinking.