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:
“The proposition that Muslims are welcome in Britain if, and only if, they stop behaving like Muslims is a doctrine which is incompatible with the principles that guide a free society.”
—Roy Hattersley (b. 1932)
“Unless democracy is to commit suicide by consenting to its own destruction, it will have to find some formidable answer to those who come to it saying: “I demand from you in the name of your principles the rights which I shall deny to you later in the name of my principles.””
—Walter Lippmann (1889–1974)