Crossing the River with Dogs: Problem Solving for College Students / Edition 2 available in Paperback
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.
About the Author
Ken Johnson is a professor of mathmatics at Sierra College.
Ted Herr teaches mathematics at Roseville High School in Roseville, California. He earned his undergraduate degree at the University of California at Los Angeles, his teaching credential at University of California at Irvine, and his master's degree at California State University at Sacramento.
Judy Kysh is an expert on the preparation of middle and high school math teachers. She also works with Bay Area teachers to improve the teaching and learning of mathematics from kindergarten to college.
Table of Contents
Instructor Resources X
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
Adding, Subtracting, Multiplying, And Dividing Fractions
Area And Volume Formulas
Properties Of Triangles
Properties Of Numbers
Index Of Problem Titles 000
General Index 000
Photo Credits 000
Answers To More Practice Problems 000