Crossing the River with DogsPreface vii Instructor Resources x Acknowledgments xi Introduction 1 1 Draw a Diagram 11 2 Make a Systematic List 27 3 Eliminate Possibilities 47 4 Use Matrix Logic 73 5 Look for a Pattern 115 6 Guess and Check 145 7 Identify Subproblems 175 8 Analyze the Units 199 9 Solve an Easier Related Problem 233 10 Create a Physical Representation 267 11 Work Backwards 297 12 Draw Venn Diagrams 323 13 Convert to Algebra 351 14 Evaluate Finite Differences 383 15