# Crossing the River with Dogs: Problem Solving for College Students

Springer Science & Business Media, Nov 18, 2003 - Mathematics - 490 pages

Students who often complain when faced with challenging word problems will be engaged as they acquire essential problem solving skills that are applicable beyond the math classroom. The authors of Crossing the River with Dogs: Problem Solving for College Students:

- Use the popular approach of explaining strategies through dialogs from fictitious students

- Present all the classic and numerous non-traditional problem solving strategies (from drawing diagrams to matrix logic, and finite differences)

- Provide a text suitable for students in quantitative reasoning, developmental mathematics, mathematics education, and all courses in between

- Challenge students with interesting, yet concise problem sets that include classic problems at the end of each chapter

With Crossing the River with Dogs, students will enjoy reading their text and will take with them skills they will use for a lifetime.

### What people are saying -Write a review

User Review - Flag as inappropriate

this os actually pretty ok. In 8th grade I used this book in my advanced math class and I was amazed at how helpful these strategies were

User Review - Flag as inappropriate

This is my favorite math book by far. I dropped the class at least five years ago, and to this day I enjoy doing the math problems in the book in my spare time. I only wish there was some sort of free answer guide available so I could check my answers :/..... but I realize how silly it would be to post it online ;)

### Contents

 Introduction 1 Draw a Diagram 9 Make a Systematic List 25 Eliminate Possibilities 43 Use Matrix Logic 67 Look for a Pattern 107 Guess and Check 135 Identify Subproblems 163
 Convert to Algebra 327 Evaluate Finite Differences 353 Organize Information In More Ways 385 Change Focus in More Ways 411 Visualize Spatial Relationships 435 Appendix 463 Glossary 471 Bibliography 477

 Analyze the Units 185 Solve an Easier Related Problem 219 Create a Physical Representation 249 Work Backwards 277 Draw Venn Diagrams 301
 Index of Problem Titles 479 General Index 483 Photo Credits 490 Copyright