2016;
383 pp;
Hardcover

MSC: Primary 97; 00;

Print ISBN: 978-1-4704-2720-7

Product Code: MBK/98

List Price: $59.00

AMS Member Price: $47.20

MAA Member Price: $53.10

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**Electronic ISBN: 978-1-4704-3009-2
Product Code: MBK/98.E**

List Price: $59.00

AMS Member Price: $47.20

MAA Member Price: $53.10

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#### Supplemental Materials

# Teaching School Mathematics: Pre-Algebra

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*Hung-Hsi Wu*

This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion. For example, it gives a precise definition of percent and explains how to use the definition to do all the standard problems about percent in an entirely routine manner. It also gives a leisurely explanation for “negative times negative is positive”. Another key feature is an intuitive introduction to plane geometry via rotations, translations, reflections, and dilations that, instead of treating these transformations as merely fun activities, shows how they make sense of the usual geometric topics in middle school, including congruence, similarity, length, area, and volume. In short, the readers will find in this volume a clear explanation of whatever was once puzzling to them in the mathematics of grades 5 to 8.

#### Readership

Teachers of middle school mathematics; students and professionals interested in mathematical education.

#### Table of Contents

# Table of Contents

## Teaching School Mathematics: Pre-Algebra

- Cover Cover11
- Title page iii4
- Chapters in the Companion Volume ix10
- Preface xi12
- Suggestions on How to Read This Volume xxi22
- Chapter 1. Fractions 124
- 1.1. Definition of a fraction 326
- 1.2. Fractions as division 2144
- 1.3. Equivalent fractions 2750
- 1.4. Adding and subtracting fractions 4366
- 1.5. Multiplying fractions 5679
- 1.6. Dividing fractions 7093
- 1.7. Complex fractions 88111
- 1.8. FASM 95118
- 1.9. Percent, ratio, and rate problems 99122
- 1.10. Finite probability 121144
- 1.11. Appendix 143166

- Chapter 2. Rational Numbers 145168
- Chapter 3. The Euclidean Algorithm 203226
- Chapter 4. Experimental Geometry 229252
- Chapter 5. Length, Area, and Volume 339362
- Bibliography 381404
- Back Cover Back Cover1407