Crossing the River with Dogs : Problem Solving for College Students

by Ken Johnson; Ted Herr; Judy Kysh

• ISBN13: 9780470412244
• ISBN10: 0470412240
• Edition: 1
• Format: Paperback
• Copyright: 2008-06-01
• 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	p. vii
Instructor Resources	p. x
Acknowledgments	p. xi
Introduction	p. 1
Draw a Diagram	p. 9
Make a Systematic List	p. 25
Eliminate Possibilities	p. 43
Use Matrix Logic	p. 67
Look for a Pattern	p. 107
Guess and check	p. 135
Identify Subproblems	p. 163
Analyze the Units	p. 185
Solve an Easier Related Problem	p. 219
Create a Physical Representation	p. 249
Work Backwards	p. 277
Draw Venn Diagrams	p. 301
Convert to Algebra	p. 327
Evaluate Finite Differences	p. 353
Organize Information in More Ways	p. 385
Change Focus in More Ways	p. 411
Visualize Spatial Relationships	p. 435
Appendix	p. 463
Unit Analysis Adding, Subtracting, Multiplying, and Dividing Fractions Area and Volume Formulas Properties of Triangles Properties of Numbers
Glossary	p. 471
Bibliography	p. 477
Index of Problem Titles	p. 479
General Index	p. 483
Photo Credits	p. 490
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