Fractions Decimals

"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.

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.

Skill Builders are great tools for keeping children current during the school year or preparing them for the next grade level. A variety of fun and challenging activities provides students with practice and helps introduce basic skills to new learners. This full-color workbook contains appropriate passages and exercises based on national standards for third through fifth grade to help ensure that children master fractions, decimals, and percentages before progressing. Skill Builders combines entertaining and interactive activities with eye-catching graphics to make learning and reviewing fun and effective. The compact 6" x 9" size makes this book perfect for school, at home, or on the go. It features 80 perforated, reproducible pages and an answer key.

The Striving to Improve Series targets students who, for whatever reason, are struggling to keep up with their peers. The activities in the books are designed to prevent students from regressing any further at school. The tasks are based on a modified curriculum so that students can work at their own pace and without constant supervision from the teacher. This book, Fractions, Decimals and Percentages, is focused on the Number and Algebra Strand of the Australian Curriculum for lower ability students and those who need further opportunity to consolidate these core areas in mathematics. Each section of the book provides students with the opportunity to consolidate written and mental methods of calculation, with an emphasis on process and understanding. The section entitled Skills With Decimals enables students to re-encounter ideas in decimal place value, calculations with decimals, comparing decimal quantities and rounding decimal amounts. The section entitled Fractions, Decimals And Percentages walks students through conversions between fractions, decimals and percentages. Students explore mental and written methods for performing conversion calculations. Attention is also given to real world applications and uses of these different representations, with an emphasis on understanding and using percentages. These activities are a useful way to scaffold a new unit of Mathematics and will help build confidence for lower ability students to attempt more challenging problems at their year level. The activities are designed to guide student learning with minimal input from the teacher and there is a strong emphasis on process and understanding. The activities can be used for individual students needing further consolidation in a mainstream classroom or as instructional worksheets for a whole class of lower ability students. The activities are tied to Curriculum Links in the Australian Curriculum ranging from grade levels of Year 4 through to Year 7 and are appropriate for students requiring extra support in Years 7, 8 and 9.

Full of activities and visual models, Fractions, Decimals, & Percentages is a fantastic lesson supplement when helping to clarify the principles behind the function of fractions, decimals, and percentages. Its comprehensive units include learning about equivalent fractions, improper fractions, understanding place value, changing fractions to decimals, and finding the percent of a number, and much more! A full answer key is also included. --Mark Twain Media Publishing Company specializes in providing captivating, supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, the product line covers a range of subjects including mathematics, sciences, language arts, social studies, history, government, fine arts, and character. Mark Twain Media also provides innovative classroom solutions for bulletin boards and interactive whiteboards. Since 1977, Mark Twain Media has remained a reliable source for a wide variety of engaging classroom resources.