Children's Mathematics: Cognitively Guided Instruction 1st Edition

by Thomas P Carpenter (Author), Elizabeth Fennema (Author), Megan Loef Franke (Author),

28 customer reviews

ISBN-13: 978-0325001371

ISBN-10: 0325001375

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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.

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Product Details

Age Range: 5 - 8 years
Grade Level: Kindergarten - 3
Paperback: 112 pages
Publisher: Heinemann; 1 edition (March 17, 1999)
Language: English
ISBN-10: 0325001375
ISBN-13: 978-0325001371
Product Dimensions: 7.4 x 0.4 x 9.3 inches
Shipping Weight: 9.6 ounces
Average Customer Review: 4.5 out of 5 stars See all reviews (28 customer reviews)
Amazon Best Sellers Rank: #414,087 in Books (See Top 100 in Books)
- #652 in Books > Education & Teaching > Schools & Teaching > Instruction Methods > Mathematics
- #896 in Books > Textbooks > Education > Elementary Education
- #1362 in Books > Education & Teaching > Schools & Teaching > Certification & Development

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Customer Reviews

4.5 out of 5 stars

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2 star		3%
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Most Helpful Customer Reviews

16 of 16 people found the following review helpful

An excellent tool

By K. Shields on June 13, 2008

This book revolutionized the way that I taught math in my classroom. I was a more informed instructor, and it allowed me to group, scaffold, and individualize my instruction. The year that I implemented these techniques into my fifth grade class, we made an average of two years growth in one year! Highly recommend this one!

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13 of 13 people found the following review helpful

Amazing teaching resource

By ashkaz on August 20, 2010

As a fourth and fifth grade teacher I was always under the impression that CGI was only for Kindergarten through third grade. However, once kids started filtering into my class who had recieved CGI instruction, I was blown away! Their critical thinking and ability to solve math problems (all the different types of word problems that the book recommends)was the most incedible thing I had ever seen students do. I immediately read this book and even went through some workshops and training through my school district.

The book explains the different types of math problems contexts for addition, subtraction, multiplication, and division, which most college of education programs do not include. For example: when creating subtraction word problems we need to pose some where the start is unknown (x - 5 = 6), some where the change is unknown (11- x = 6), and others where the result is unknown (11-6= x). When posed in a word context, contrary to our beliefs, students ARE able to reason through the problems and solve them. The book teaches you what types of solutions to expect from your students and how to implement CGI in your classroom.

When starting CGI for the first time, I highly recommend playing around with a few problem types at first so you do not get overwhelmed. It is a lot of fun and you can learn a lot about how your kids think if you just DON'T TELL THEM HOW TO SOLVE THE PROBLEMS, but let them explore and be critical thinkers. :)

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10 of 10 people found the following review helpful

Children's mathematics; Cognitive Guided Instruction

By Norma L. Morris on October 10, 2007

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Excellent resource for those wishing to guide students from informal understanding of solving word problems to problem solving. The authors' examples of the various problem types coupled with explanations and strategically placed video clips (CD included) guide even the most novice CGI instructor to a clear understanding of the problems and expected student strategies, classroom environment and expectations needed to implement this teaching strategy.

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3 of 3 people found the following review helpful

THE BEST!

By Sara on July 16, 2011

First of all, this is research, not a "math curriculum" or "program". This is about how children think about and understand math. I was very skeptical at first. However, after seeing the results in the classroom - I am a believer! Children understand a lot about mathematics that we don't give them credit for because they don't express their understanding in standard algorithms or with typical math vocabulary. CGI encourages the teacher to work with a student's natural understanding of math and to build on that. There is a teacher training that goes with this - it takes about 24 days of training over 3 years to complete. One of the more difficult trainings I have taken, (besides this book it also required a bottle of aspirin!) but without a doubt one of the very best! It is well worth the effort! Read the book, and if at all possible, take a CGI class!

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2 of 2 people found the following review helpful

Children's Mathematics

By Cathy on July 12, 2010

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This is an excellent resource for anyone who wishes to understand children's mathematical thinking. It is a great tool for teachers.

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1 of 1 people found the following review helpful

Great resource

By Heather on April 8, 2013

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As a student learning to become a teacher I found this book a great resource. It has changed the way I view mathematics myself and how I will teach it. The short chapters and jam packed with information and not with a lot of fluff.

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1 of 1 people found the following review helpful

Becoming a Better Teacher!

By Ann Webb on November 26, 2013

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This is a book that can help every elementary teacher become a better children's mathematics teacher. The DVD disc helps with the reading;

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