George Polya
George Polya was a master of problem solving, and his effect on other teachers has been extraordinary. His most popular book, How to Solve It, has sold over a million copies. As is the case with many great books, Polya had been turned down by three publishers before finding one to publish the English version in the United States. It has also been translated into 17 languages. I remember reading this book as a high school student and thinking “What a great writer Mr. Polya is, how clearly he presents his topic: Problem Solving.” His approach has had a lasting impression on the way I teach; I treasure the opportunity of giving other students the joy of discovery and the thrill and satisfaction of solving a problem.
How to Solve It
Polya’s gift was in describing the methods used in solving problems. But he went further; to show teachers how problem solving could be taught and learned. He authored four books on this topic:
- How to Solve It
- Mathematical Discovery
- Mathematics and Plausible Reasoning, volume 1
- Mathematics and Plausible Reasoning, volume 2
Some quotes by Polya:
“Solving problems is a practical art, like swimming, or skiing, or playing the piano: You can learn it only by imitation and practice.”
“If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems.”
“Teaching is not a science; it is an art. If teaching were a science there would be a best way of teaching and everyone would have to teach like that. Since teaching is not a science, there is great latitude and much possibility for personal differences. … let me tell you what my idea of teaching is. Perhaps the first point, which is widely accepted, is that teaching must be active, or rather active learning . . . the main point in mathematics teaching is to develop the tactics of problem solving.“
“A Great discovery solves a great problem but there is a grain of discovery in the solution of any problem. Your problem may be modest; but if it challenges your curiosity and brings into play your inventive faculties, and if you solve it by your own means, you may experience the tension and enjoy the triumph of discovery.”
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“Teaching is not a science; it is an art”
Hello Mr. Lombard
I am waiting for Your “Friday Afternoon Lifesavers Activities”.
Thanks
Hello math teacher,
This school year has been a more challenging one than most with larger class sizes and a new course for me to master. I will be creating more “Friday Afternoon Lifesavers Activities” as soon as I am able. Thanks for your patience.
- Mr. L
thanx a lot 4 sharing this information
Hi is there anybody that can assist me with a hypothetical problem solving a layout for an airport.the question is as follows:
There are three cities approximatetly equal in size and an airport needs to be designed. The sum of the distances to the airport from all three cities must be a minimum. Where must a the airport be located?
Hi thanks for the information – from mr.john belas