Children's Mathematics: Cognitively Guided Instruction Author: Thomas P Carpenter | Language: English | ISBN:
0325001375 | Format: PDF
Children's Mathematics: Cognitively Guided Instruction Description
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.
- Age Range: 5 - 8 years
- Paperback: 112 pages
- Publisher: Heinemann; 1 edition (March 17, 1999)
- Language: English
- ISBN-10: 0325001375
- ISBN-13: 978-0325001371
- Product Dimensions: 9.2 x 7.4 x 0.3 inches
- Shipping Weight: 9.6 ounces (View shipping rates and policies)
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!
By K. Shields
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. :)
By ashkaz
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