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

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9780325030531: Extending Children's Mathematics: Fractions & Decimals: Innovations In Cognitively Guided Instruction

"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.

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About the Author:

Susan Empson is a professor and the Richard Miller endowed chair of mathematics education at the University of Missouri. Her research has consistently been supported by the National Science Foundation and the Spencer Foundation, including a recent NSF grant to study elementary teachers' learning and development centered on teaching in ways that are responsive to children's mathematical thinking in the domain of rational numbers. Susan is a coauthor of bestselling books focused on Cognitively Guided Instruction (CGI), including Children's Mathematics and Extending Children's Mathematics. Read a blog post adapted from Extending Children's Mathematics: How to Build Meaning for Fractions with Word Problems

Linda Levi is the Director of Cognitively Guided Instruction (CGI) Initiatives at Teachers Development Group, a nonprofit organization dedicated to increasing all students' understanding and achievement through teacher professional development. She currently works with schools, districts, education cooperatives and State Departments of Education to provide CGI professional development. Linda was coauthor of Thinking Mathematically (Heinemann 2003), and coauthor of Heinemann's top selling math title Children's Mathematics: Cognitively Guided Instruction, which has helped tens of thousands of teachers understand children's intuitive problem-solving and computational skills. Children's Mathematics remains a hallmark contribution to mathematics education since its publication in 1999.

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Book Description Heinemann Educational Books, United States, 2011. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAS9780325030531

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