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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.
This book explains how teachers can use guided instruction-gradually transferring knowledge and the responsibility for learning to students through scaffolds for learning-to boost students to higher levels of understanding and accomplishment.
This book explains how teachers can use guided instruction (gradually transferring knowledge and the responsibility for learning to students through scaffolds for learning) to boost students to higher levels of understanding and accomplishment.
Use a practical approach to teaching mathematics that integrates proven literacy strategies for effective instruction. This professional resource will help to maximize the impact of instruction through the use of whole-class instruction, small-group instruction, and Math Workshop. Incorporate ideas for using ongoing assessment to guide your instruction and increase student learning, and use hands-on, problem-solving experiences with small groups to encourage mathematical communication and discussion. Guided Math supports the College and Career Readiness and other state standards.
A practical book for teachers consisting of 10 YC and TYC articles on the importance of integrating rich content-based, teacher-guided instruction with meaningful child-centered play to nurture children's emerging capabilities and skills.
"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.
A proven method for better teaching, better learning, and better test scores! This teacher-friendly book presents a step-by-step approach for implementing the Explicit Direct Instruction (EDI) approach in diverse classrooms. Based on educational theory, brain research, and data analysis, EDI helps teachers deliver effective lessons that can significantly improve achievement all grade levels. The authors discuss characteristics of EDI, such as checking for understanding, lesson objectives, activating prior knowledge, concept and skills development, and guided practice, and provide: Clearly defined lesson design components Detailed sample lessons Easy-to-follow lesson delivery strategies Scenarios that illustrate what EDI techniques look like in the classroom
What is understanding and how does it differ from knowledge? How can we determine the big ideas worth understanding? Why is understanding an important teaching goal, and how do we know when students have attained it? How can we create a rigorous and engaging curriculum that focuses on understanding and leads to improved student performance in today's high-stakes, standards-based environment? Authors Grant Wiggins and Jay McTighe answer these and many other questions in this second edition of Understanding by Design. Drawing on feedback from thousands of educators around the world who have used the UbD framework since its introduction in 1998, the authors have greatly revised and expanded their original work to guide educators across the K-16 spectrum in the design of curriculum, assessment, and instruction. With an improved UbD Template at its core, the book explains the rationale of backward design and explores in greater depth the meaning of such key ideas as essential questions and transfer tasks. Readers will learn why the familiar coverage- and activity-based approaches to curriculum design fall short, and how a focus on the six facets of understanding can enrich student learning. With an expanded array of practical strategies, tools, and examples from all subject areas, the book demonstrates how the research-based principles of Understanding by Design apply to district frameworks as well as to individual units of curriculum. Combining provocative ideas, thoughtful analysis, and tested approaches, this new edition of Understanding by Design offers teacher-designers a clear path to the creation of curriculum that ensures better learning and a more stimulating experience for students and teachers alike.
Better Learning Through Structured Teaching describes how teachers can help students develop stronger learning skills by ensuring that instruction moves from modeling and guided practice (situations where the teacher has most of the responsibility) to collaborative learning and, finally, to independent tasks. You'll find out how to use the four components of this approach to help meet critical challenges, including differentiating instruction and making effective use of class time: 1. Focus Lessons: Establishing the lesson’s purpose and then modeling your own thinking for students.2. Guided Instruction: Working with small groups of students who have similar results on performance assessments. 3. Collaborative Learning: Enabling students to discuss and negotiate with one another to create independent work, not simply one project. 4. Independent Tasks: Requiring students to use their previous knowledge to create new and authentic products. The authors explore each component using student dialogues and examples from a variety of disciplines and grade levels. They provide tips and tools for successfully implementing this instructional approach in your own classroom, including checklists for classroom setup and routines, critical questions, real-world lesson plans, and more. No matter what grade level you teach, Better Learning Through Structured Teaching is your essential guide to helping students develop and expand their capacity for authentic and long-lasting learning.
Tens of thousands of K?3 teachers have relied on this book--now revised and expanded with more than 50% new material--to plan and deliver effective literacy instruction tailored to each student's needs. The authors provide a detailed framework for implementing differentiated small-group instruction over multiweek cycles. Each component of the beginning reading program is addressed--phonological awareness, word recognition, fluency, vocabulary, and comprehension. In a large-size format with lay-flat binding for easy photocopying, the book includes dozens of reproducible lesson plans, instructional activities, assessment forms, and other tools. Purchasers get access to a Web page where they can download and print the reproducible materials. New to This Edition *Differentiation 2.0: the approach has been fine-tuned based on field testing, new research findings, and current standards and response-to-intervention frameworks. *Many additional reproducible tools, such as coaching templates and the Informal Decoding Inventory. *Beyond lesson plans and materials, the second edition offers more guidance for designing instruction and grouping students, making it a one-stop resource. *Reproducible tools now available to download and print.
