Crossing the River with Dogs: Problem Solving for College Students, 2nd Edition

by Ken Johnson; Ted Herr; Judy Kysh

• ISBN13: 9780470464731
• ISBN10: 0470464739
• Edition: 2nd
• Format: Paperback
• Copyright: 2011-11-01
• Publisher: Wiley

Summary

Crossing the River with Dogs: Problem Solving for College Students has been adapted from the popular high school text to provide an accessible and coherent college-level course in mathematical problem solving for adults. Focusing entirely on problem solving and using issues relevant to college students for examples, the authors continue their approach of explaining classic as well as non-traditional strategies through dialogs among fictitious students. This text is appropriate for a problem solving, liberal arts mathematics, mathematics for elementary teachers, or developmental mathematics course.

Table of Contents

Preface Vii

Instructor Resources X

Acknowledgments Xi

Introduction 1

1 Draw A Diagram 11

2 Make A Systematic List 29

3 Eliminate Possibilities 49

4 Use Matrix Logic 75

5 Look For A Pattern 117

6 Guess And Check 147

7 Identify Subproblems 177

8 Analyze The Units 201

9 Solve An Easier Related Problem 237

10 Create A Physical Representation 269

11 Work Backwards 299

12 Draw Venn Diagrams 325

13 Convert To Algebra 355

14 Evaluate Finite Differences 385

15 Organize Information In More Ways 419

16 Change Focus In More Ways 449

17 Visualize Spatial Relationships 477

Appendix 507

Unit Analysis

Adding, Subtracting, Multiplying, And Dividing Fractions

Area And Volume Formulas

Properties Of Triangles

Properties Of Numbers

Glossary 000

Bibliography 000

Index Of Problem Titles 000

General Index 000

Photo Credits 000

Answers To More Practice Problems 000