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:
“To abandon oneself to principles is really to die—and to die for an impossible love which is the contrary of love.”
—Albert Camus (1913–1960)
“Ah, I fancy it is just the same with most of what you call your “emancipation.” You have read yourself into a number of new ideas and opinions. You have got a sort of smattering of recent discoveries in various fields—discoveries that seem to overthrow certain principles which have hitherto been held impregnable and unassailable. But all this has only been a matter of intellect, Miss West—superficial acquisition. It has not passed into your blood.”
—Henrik Ibsen (1828–1906)