Download PDF The Art of Mathematical Problem Solving, by Richard M. Beekman
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The Art of Mathematical Problem Solving, by Richard M. Beekman
Download PDF The Art of Mathematical Problem Solving, by Richard M. Beekman
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Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems. Part Ii contains 35 difficult and challenging mathematics problems with complete solutions. The goal is to teach the reader how to proceed from an initial state of "panic and fear" to finding a beautiful and elegant solution to a problem.
- Sales Rank: #625776 in Books
- Published on: 2016-01-30
- Released on: 2016-01-30
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x .67" w x 6.00" l, .87 pounds
- Binding: Paperback
- 266 pages
Most helpful customer reviews
1 of 1 people found the following review helpful.
What I like best about this book is that the author gives ...
By Raymond Hernandez
What I like best about this book is that the author gives the reader a practical step-by-step process to follow for solving math problems. There are many good problem solving books, but most of them focus on specific problems and tactics. This book focuses more on the "process" of how to solve a hard math problem. (Part II of the book gives a number of examples.) A good process is just as important as good strategy and tactics. I noticed in my math classes that most students can solve problems that they have seen before. However, students often feel lost when they are given a math problem that doesn't look like any of the homework problems. I've been experimenting with the author's process, and it does seem to work for many of my students, or at least for the brighter ones. It helps them get past their mental barriers and provides them with a road map to solve unfamiliar math problems. I also enjoyed the author's honesty and sense of humor. He explains how mathematicians solve problems in real practice using methods that really work. I like his idea that "ugly solutions precede beautiful solutions." First you find an ugly solution. Then you "polish the stone" and make it beautiful. It's more of a humanistic view that mathematics is done by real people who are fallible, yet creative. My only criticism is that the problems in Part II of the book are too difficult for the average student. Many students are not well prepared for such problems. Then again, maybe that's the point. The author apparently wants to show how people of average intelligence can solve hard math problems. I've been teaching mathematics for over 20 years, and even I learned a few things from this book.
1 of 1 people found the following review helpful.
Excellent reading for teaching about the problem solving process
By Christian Hasselberg
Full Disclosure -- I may be biased because the author is my friend!
I read one of the initial drafts of this book, and I found it to be very helpful for anyone who wants to learn how to solve complex math problems. In fact, the process could be applied to many other life endeavors.
1 of 2 people found the following review helpful.
Five Stars
By Kwok Ka Keung
Good!
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