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"This resource was created in response to the requests of teachers--those who want to implement number talks but are unsure of how to begin, and those with experience who want more guidance in crafting purposeful problems."--Page 4 de la couverture.
"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.
In this book, you will meet a family called the Ogs. They are going to help you find out about fractions. The Ogs use fractions every day, sometimes without even knowing.
Fractions, Decimals, & Percents, Grades 7-8 Homework Booklethelps students enjoy mastering these important skills as they work through the pages of this fun and engaging book. Each page introduces a new concept complete with clear illustrations for explanations. Students will begin by learning how to write, order, add, subtract, multiply, and divide decimals. Then they will move on to add and subtract, reduce, and write fractions and mixed numbers alike. The final section of the book will build their ability to work with percents. Throughout the book, the connections between fractions, decimals, and percents are shown. Features: • A pull-put answer key in the center of the book to make checking answers quick and easy. • This book is intended to be completed by the student with little or no help from a parent or teacher, which makes it a great resource for use at home or school. Our extremely popularHomework Booklet seriesis a must have for any student! Great for reinforcing, reviewing, or teaching specific skills these booklets feature step-by-step practice drills with easy-to-understand directions and highlighted examples. With over 85 titles for children in preschool to high school and covering all key subjects including math, reading, social studies, grammar, foreign language, and more, students will find the extra practice they need to succeed in all subjects! Help your student today and collect all the titles in this amazing series!
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.
The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.
Intro -- CONTENTS -- Foreword -- Introduction and Overview -- Relationships -- Core Insights for Proportion -- Core Insights into Fractions -- Core Insights into Percentages -- Core Insights into Decimals -- Differentiation -- Final and Intermediate Attainment Targets
