
Crossing the River with Dogs
Problem Solving for College Students
- 576 pages
- English
- PDF
- Available on iOS & Android
About this book
Crossing the River with Dogs: Problem Solving for College Students, 3rd Edition promotes the philosophy that students learn best by working in groups and the skills required for real workplace problem solving are those skills of collaboration. The text aims to improve students' writing, oral communication, and collaboration skills while teaching mathematical problem-solving strategies. 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, quantitative reasoning, liberal arts mathematics, mathematics for elementary teachers, or developmental mathematics course.
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Key takeaways
Apply a diverse set of mathematical problem-solving strategies, including drawing diagrams, making systematic lists, and working backwards, to address various quantitative challenges.
Analyze and organize problem information using techniques such as matrix logic, unit analysis, and finite differences to develop structured approaches for solutions.
Deconstruct complex problems by identifying subproblems or solving easier related problems, and adapt problem-solving approaches by changing focus or representation to find solutions.
Information
Table of contents
- Cover
- Title Page
- Copyright
- Contents
- PREFACE
- INSTRUCTOR RESOURCES
- ACKNOWLEDGMENTS
- INTRODUCTION
- 1 DRAW A DIAGRAM
- 2 MAKE A SYSTEMATIC LIST
- 3 ELIMINATE POSSIBILITIES
- 4 USE MATRIX LOGIC
- 5 LOOK FOR A PATTERN
- 6 GUESS AND CHECK
- 7 IDENTIFY SUBPROBLEMS
- 8 ANALYZE THE UNITS
- 9 SOLVE AN EASIER RELATED PROBLEM
- 10 CREATE A PHYSICAL REPRESENTATION
- 11 WORK BACKWARDS
- 12 DRAW VENN DIAGRAMS
- 13 CONVERT TO ALGEBRA
- 14 EVALUATE FINITE DIFFERENCES
- 15 ORGANIZE INFORMATION IN MORE WAYS
- 16 CHANGE FOCUS IN MORE WAYS
- 17 VISUALIZE SPATIAL RELATIONSHIPS
- APPENDIX
- GLOSSARY
- BIBLIOGRAPHY
- INDEX OF PROBLEM TITLES
- GENERAL INDEX
- PHOTO CREDITS
- ANSWERS TO MORE PRACTICE PROBLEMS
- EULA
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