Extending Children's Mathematics: Fractions & Decimals: Innovations In Cognitively Guided Instruction

by Thomas P Carpenter, Linda Levi

"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 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 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.

Genres: Education, Teaching, Nonfiction

272 pages, Paperback

First published March 29, 2011

Reviews

[Kelly · Rating 4 out of 5]

Great book. Very helpful for all elementary teachers. To develop successful mathematicians, we must stop teaching algorithms before students understand the math. We need to give ample opportunities for students to solve problems their own way. Teachers should help guide students through observation and questioning techniques. I love how this book provides several problem types by grade level that can be used in the classroom. I often pulled this book during my math intervention groups to refer to the problems.

[Disan · Rating 4 out of 5]

I'm slowly digesting all that this book has. It's more like a teaching manual to go back to over and over again to guide you in beginning to think like a child. You should start with it's predecessor, Children's Mathematics by Thomas P. Carpenter.