Childrens Mathematics/Cognitively Guided Instruction: Cognitively Guided Instruction / Edition 1

by Thomas P Carpenter, Elizabeth Fennema, Megan Loef L. Franke, Linda Levi, Susan B Empson

Overview

By the time they begin school, most children have already developed a sophisticated, informal understanding of basic mathematical concepts and problem-solving strategies. Too often, however, the mathematics instruction that we impose upon them in the classroom fails to connect with this informal knowledge. Children's Mathematics was written to help you understand children's intuitive mathematical thinking and use that knowledge to help children learn mathematics with understanding.

Based on more than twenty years of research, this book portrays the development of children's understanding of basic number concepts. The authors offer a detailed explanation and numerous examples of the problem-solving and computational processes that virtually all children use as their numerical thinking develops. They also describe how classrooms can be organized to foster that development. Two accompanying CDs provide a remarkable inside look at students and teachers in real classrooms implementing the teaching and learning strategies described in the text. Together, the book and CDs provide you with the foundation necessary to engage children in discussions of how they think through problems-providing suggestions for what problems to give and insight into what responses to expect, and how children's thinking will evolve.

Product Details

ISBN-13:	9780325001371
Publisher:	Heinemann
Publication date:	03/17/1999
Edition description:	BOOK & CD
Pages:	128
Product dimensions:	7.40(w) x 9.30(h) x 0.36(d)
Age Range:	5 - 8 Years

About the Author

Thomas Carpenter was Professor Emeritus of Curriculum and Instruction at the University of Wisconsin-Madison, where he taught for twenty-five years. He is the former editor of the National Council of Teachers of Mathematics (NCTM) Journal for Research in Mathematics Education, and has received the NCTM Lifetime Achievement award for Distinguished Service to Mathematics Education (2004) among other awards. Tom passed away in August 2018, leaving behind a vast legacy to mathematics education thanks to his research into Cognitively Guided Instruction (CGI). That work, created by him and his team of researchers and authors, is available to all teachers in his influential and popular books Children's Mathematics, Thinking Mathematically, and Young Children's Mathematics. In addition, members of Tom's team have already begun the process of extending out from his work in CGI with Extending Children's Mathematics.

​Read more about Tom and his legacy, including warm remembrances from other influential members of the field of mathematics education.

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

Table of Contents

1. Children's Mathematical Thinking

Addition/Subtraction: Problem Types

Addition/Subtraction: Children's Solution Strategies

Multiplication/Division: Problem Types and Children's Solution Strategies

Problem Solving as Modeling

Multidigit Number Concepts

Beginning to Teach Using Cognitively Guided Instruction

CGI Classrooms

Appendix: The Research Base for Cognitively Guided Instruction