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Learning Through Problems
Number Sense and Computational Strategies/A Resource for Primary Teachers
Paul R. Trafton, Diane Thiessen, University of Northern Iowa

Heinemann / ISBN 0-325-00126-X / 978-0-325-00126-5 / 1999 / 128 pp / paperback
Availability: This title is out of stock with an expected availability date of 8/15/2008

List Price: $16.00

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sample chaptersPreview sample chapters for this book

    I highly recommend this book for primary teachers. It contains many strategies for helping young children learn basic skills.
    --Teaching Children Mathematics
    I highly recommend this book for primary teachers. It contains many strategies for helping young children learn basic skills.
    —Teaching Children Mathematics

Read a sample chapter from Learning Through Problems (requires Adobe Acrobat Reader)!

Learning Through Problems describes a powerful approach to mathematics instruction that honors children's thinking and sense-making ability. Too often, the strands of mathematics (addition, subtraction, place value, and problem solving) are viewed as isolated topics. Paul Trafton and Diane Thiessen weave these strands together and offer a wide variety of contexts for genuine mathematical exploration.

While grounded in solid theory, Learning Through Problems is above all a practical resource, based on many years of field testing. The book takes you into classrooms where students value challenges, reflect on their work, and participate in thoughtful discussions with their classmates. Throughout the book, classroom teachers reflect on their experiences and offer suggestions on a comprehensive range of issues, including how to get started, where to find good problems, when to provide help, when to step back, where manipulatives fit in, how to integrate problem solving into the curriculum, and how to assess students' learning.

The book also shows how number sense and computation can be learned within a problem-centered framework. Thus, understanding and skills develop as mutually supporting aspects through a single approach. They do not have to be dichotomous. Numerous classroom examples and teacher observations provide guidance in developing both invented and familiar computational approaches.

In addition to providing valuable information about the development of children's mathematical thinking, this book is an inspiring look at what students can accomplish when they are given the opportunity, time, and freedom to solve problems in ways that make sense to them.

Table of Contents

    Contents:
    1.
    Problem-Centered Learning
    1a. The Pizza Problem Story
    1b. A Closer Look
    1c. Getting Started: A User's Guide
    2. Developing Number Sense and Computational Strategies
    2a. Toward a New Approach: An Evolutionary Process
    2b. A Teaching Plan
    2c. Children's Computational Strategies
    3. In the Classroom: Guidelines, Reflections, Ideas

Sample Chapters

 
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