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Mathematics for Elementary Teachers : Volume I : Numbers and Operations : Preliminary Edition / With Activities Manual (New)

Mathematics for Elementary Teachers : Volume I : Numbers and Operations : Preliminary Edition / With Activities Manual (New) - 03 edition

ISBN13: 978-0321129802

Cover of Mathematics for Elementary Teachers : Volume I : Numbers and Operations : Preliminary Edition / With Activities Manual (New) 03 (ISBN 978-0321129802)
ISBN13: 978-0321129802
ISBN10: 0321129806
Cover type:
Edition/Copyright: 03
Publisher: Addison-Wesley Longman, Inc.
Published: 2003
International: No

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Mathematics for Elementary Teachers : Volume I : Numbers and Operations : Preliminary Edition / With Activities Manual (New) - 03 edition

ISBN13: 978-0321129802

Sybilla Beckmann

ISBN13: 978-0321129802
ISBN10: 0321129806
Cover type:
Edition/Copyright: 03
Publisher: Addison-Wesley Longman, Inc.

Published: 2003
International: No
Summary

Also available as a two-volume set, this text is intended to give students depth and perspective in their knowledge of the mathematics taught in elementary school. The author believes that some key elements in achieving this depth and perspective are for students to write clear, logical explanations, for students to enhance their intuition by working with examples and by looking for patterns and connections, and for students to use mathematics in a variety of applications. The book is centered around "class activities," which are designed for students to work on in class in small groups. The class activities foster engagement, exploration and discussion of the material, rather than passive absorption. Many exercises and problems are included at the end of each chapter. Working on these exercises and problems and justifying their solutions carefully and clearly is crucial to achieving depth of understanding of the material. Both students and instructors should find this material fun, interesting, and rewarding.

Author Bio

Beckmann, Sybilla : University of Georgia

Table of Contents

1. Problem Solving

Solving Problems
Explaining Solutions

2. Numbers

Introduction to the Number Systems
The Decimal System and Place Value
Representing Decimals
The Meaning of Fractions
Equivalent Fractions
Fractions as Numbers
Percent
Comparing Size of Decimals
Comparing Sizes of Fractions
Rounding Decimals

3. Addition and Subtraction

Interpretations of Addition and Subtraction
The Algorithms for Adding and Subtracting
Adding and Subtracting Fractions
When Do We Add Percentages?
Percent Increase and Percent Decrease
The Commutative and Associative Properties and Mental Math

4. Multiplication

The Meaning of Multiplication
Why Multiplying Decimals by 10 is Easy
Multiplication and Areas of Rectangles
The Commutative Property of Multiplication
Multiplication and Volumes of Boxes
The Associative Property of Multiplication
The Distributive Property
Why the Procedure for Multiplying Works
Multiplying Fractions
Powers
Multiplying Decimals
Multiplying Negative Numbers
Scientific Notation

5. Division

The Meaning of Division
Why the Standard Long Division Procedure Works
Fractions and Division
Relating Different Answers to Division Problems
Dividing Fractions
Dividing Decimals
Ratio and Proportion

6. More About Numbers

Factors and Multiples
Prime Numbers
Greatest Common Factor and Least Common Multiple
Common Factors and Commensurability
Even and Odd
Divisibility Tests

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