Learning and Teaching Early Math

Author: Douglas H. Clements
Publisher: Routledge
ISBN: 1134080719
Format: PDF
Download Now
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.

Early Childhood Mathematics Education Research

Author: Julie Sarama
Publisher: Routledge
ISBN: 1135592497
Format: PDF, Kindle
Download Now
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.

The Development of Early Childhood Mathematics Education

Author:
Publisher: Academic Press
ISBN: 0128134496
Format: PDF
Download Now
The Development of Early Childhood Mathematics Education, Volume 53 in the Advances in Child Development and Behavior series, includes chapters that highlight some of the most recent research in the field of developmental psychology. Users will find updated chapters on a variety of topics, including sections on The DREME Network: Research and Interventions in Early Childhood Mathematics, The Use of Concrete Experiences in Early Childhood Mathematics Instruction, Interventions in Early Mathematics: Avoiding Pollution and Dilution, Coaching in Early Mathematics, and Designing Studies to Test Causal Questions About Early Math: The Development of Making Pre-K Count. Each chapter provides in-depth discussions, with this volume serving as an invaluable resource for developmental or educational psychology researchers, scholars and students. Contains chapters that highlight some of the most recent research in the area of child development and behavior Presents a wide array of topics that are discussed in detail

Big Ideas of Early Mathematics

Author: The Early Math Collaborative- Erikson Institute
Publisher: Pearson Higher Ed
ISBN: 0133259951
Format: PDF, Mobi
Download Now
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.

Engaging Young Children in Mathematics

Author: Douglas H. Clements
Publisher: Routledge
ISBN: 0805842101
Format: PDF, Docs
Download Now
Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.

Big Ideas of Early Mathematics

Author: Jeanine O'Nan Brownell
Publisher: Pearson
ISBN: 9780132946971
Format: PDF, ePub
Download Now
"The Big Ideas that convey the core concepts of mathematics are at the heart of this new book that gives early childhood educators the skills they 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. It's the perfect guide for those who want to focus their instruction on mathematics that is central, coherent, and rigorous. In it, readers see clearly why building early foundations in math matters, why teachers' understanding of foundational math matters, and why the methods used to teach it matter. Developed by the Erikson Institute's Early Math Collaborative team, the book groups the Big Ideas into nine chapter on topics that are familiar to early childhood teachers-sets, pattern and regularity, number, counting, operations, measurement, data analysis, shapes, and spatial thinking. The work is in keeping with the content strands identified by the National Council of Teachers of Mathematics (NCTM), and maps pathways to help teachers meet the Common Core State Standards for Mathematics." -- publisher website.

Teaching Math with Favorite Picture Books

Author: Judi Hechtman
Publisher: Scholastic Inc.
ISBN: 9780590762502
Format: PDF, Mobi
Download Now
Each activity in this book takes the teacher from preparation to extensions. Some of the features of this book include: suggestions for introducing the literature selection to students; a list of the NCTM Standard(s) the activity supports; a complete list of all materials necessary for the activity; step-by-step directions, teaching tips, and grouping suggestions for doing the acitivty with your class; ready-to-use reproducible recording sheets and patterns; and across the curriculum extensions that link the literature selection to other areas of your curriculum such as social studies, language arts, and art.

Knowing and Teaching Elementary Mathematics

Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Format: PDF
Download Now
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.

Preschool Math

Author: Debbie Cunningham
Publisher: Gryphon House, Inc.
ISBN: 0876597614
Format: PDF, Mobi
Download Now
The authors of Preschool Math--a scientist, a Montessori teacher, and an Emergent Curriculum advocate--come from different backgrounds and all offer unique expertise to the book. This combination gives the book a particularly interesting and stimulating approach, and makes the book usable for any teacher. Preschool Math encourages teachers to listen to and observe young children to better understand how they think about their world. The book uses these prompts to expand into useful and appropriate math experiences. Teachers will encourage children to use their senses and bodies to explore ideas, record and talk about the concepts, and to learn how math feels, tastes, and looks. Activities in Preschool Math use the scientific ideals of testing, evaluating, exploring, experimenting, problem solving, making guesses, and forming a hypothesis, while utilizing interesting materials and environments in mathematical ways. Special features of this book Each activity includes assessment following standards set by the National Council of Teachers of Mathematics. Activities are geared for a range of ages and abilities, and many types of learning environments. Experiences included in the book originate in children's own explorations of math concepts in day-to-day play. Preschool Math encourages hands-on playful and child-focused experiences that guide children towards a sound understanding of the basic math concepts. Preschool Math encourages teachers, caregivers, students and parents to create math experiences from everyday events and materials. Preschool Math encourages children's thoughtful considerations, theory development, and logical exploration. It discourages interrogation or forcing a yes or no answer. Teachers are encouraged to observe children's play when introducing math concepts, or environment in ways that are appropriate at that time and for those children. This approach helps children learn math concepts as they are ready for them. Preschool Math is written so that teachers can easily access and use the activities. The authors suggest materials and activities as well as describe ways to talk with the children or to encourage further exploration over future days or weeks. Teachers can find activities that best suit children's needs, or use the ideas to set up environments that will encourage children to explore math. Preschool Math will enrich the lives of children, introduce concepts that build foundations for a lifetime of learning, encourage wondering and exploration, and provide encouragement for adults to make early childhood a real math playground!

Teaching Early Years Mathematics Science and ICT

Author: Geoff Hilton
Publisher: Allen & Unwin
ISBN: 1743439261
Format: PDF, ePub
Download Now
When young children first arrive at school, they generally know how to use a mobile phone and a tablet, and how to count, share and measure. They have a sense of wonder about the world around them. They expect to further interact with technology and to build and extend their mathematics and science knowledge. Teaching Early Years Mathematics, Science and ICT shows how teachers of children in their first three years of formal schooling can guide students in developing a sound understanding of the key concepts in mathematics and science in classroom and field activities. It shows how to select appropriate educational technology, and effectively and routinely integrate it into the learning experience, as part of students' wider classroom learning. Throughout, the authors make connections between children's out-of-school and in-school experiences, as well as connections across key learning areas. They provide real classroom examples of learning experiences which can be adapted for different year levels. A reflection template assists teachers in planning and successfully implementing teaching strategies to meet curriculum requirements. Teaching Early Years Mathematics, Science and ICT helps teachers bridge theory and practice in teaching children aged 5 to 8 years.