Four Principles
How to Solve It suggests the following steps when solving a mathematical problem:
- First, you have to understand the problem.
- After understanding, then make a plan.
- Carry out the plan.
- Look back on your work. How could it be better?
If this technique fails, Pólya advises: "If you can't solve a problem, then there is an easier problem you can solve: find it." Or: "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"
Read more about this topic: How To Solve It
Famous quotes containing the word principles:
“I am not one of those who have the least anxiety about the triumph of the principles I have stood for. I have seen fools resist Providence before, and I have seen their destruction, as will come upon these again, utter destruction and contempt. That we shall prevail is as sure as that God reigns.”
—Woodrow Wilson (1856–1924)
“I have ever deemed it fundamental for the United States never to take active part in the quarrels of Europe. Their political interests are entirely distinct from ours. Their mutual jealousies, their balance of power, their complicated alliances, their forms and principles of government, are all foreign to us. They are nations of eternal war.”
—Thomas Jefferson (1743–1826)