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Children S Mathematics

Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Size: 80.10 MB
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With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.

Extending Children S Mathematics

Author: Susan B. Empson
Publisher: Heinemann Educational Books
ISBN: 9780325030531
Size: 11.34 MB
Format: PDF, ePub
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"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.

Children S Mathematics

Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325006413
Size: 26.79 MB
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Contained in this Guide is suggestions for implementing a Professional Development Program, a selected annotated bibliography, and a selection of resources such as sample workshop agendas and worksheets.

Thinking Mathematically

Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325005652
Size: 54.74 MB
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In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic

Implementing Standards Based Mathematics Instruction

Author: Mary Kay Stein
Publisher: Teachers College Press
ISBN: 9780807739075
Size: 31.60 MB
Format: PDF, ePub, Docs
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Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.

Math Exchanges

Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Size: 38.20 MB
Format: PDF, Kindle
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Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in Kassia's math workshop are becoming self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? and How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?

Knowing And Teaching Elementary Mathematics

Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Size: 20.22 MB
Format: PDF, Docs
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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.

Creativity And The Arts With Young Children

Author: Rebecca Isbell
Publisher: Cengage Learning
ISBN: 128522552X
Size: 35.91 MB
Format: PDF, ePub, Mobi
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CREATIVITY AND THE ARTS WITH YOUNG CHILDREN, Third Edition, is written for early childhood educators as well as those who work with children from birth through age eight. The text focuses on helping educators make the vital connection to the arts--including music, movement, drama, and the visual arts--throughout all areas of the classroom and curriculum, and on developing creative teachers who will be able to foster an artistic environment. Observations and photos of teachers and children demonstrate practical ways the arts can be used to help children reach their potential. Educators will find many ideas for open-ended activities that are important for the development of young children, and which will encourage them to think in new ways. Discussion of professional standards and recommendations allows teachers to be cognizant of goals that are important in the early years. Thorough in its coverage, the text speaks to children with special needs and cultural diversity, leaving readers with a complete information resource regarding arts in the young child's classroom. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Learning And Teaching Early Math

Author: Douglas H. Clements
Publisher: Routledge
ISBN: 1134080719
Size: 55.70 MB
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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.

Rethinking Mathematics

Author: Eric Gutstein
Publisher: Rethinking Schools
ISBN: 0942961544
Size: 66.53 MB
Format: PDF, ePub
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A collection of more than thirty articles shows teachers how to weave social justice principles throughout the math curriculum, and how to integrate social justice math into other curricular areas as well.