A Quote by George Polya

Even fairly good students, when they have obtained the solution of the problem and written down neatly the argument, shut their books and look for something else. Doing so, they miss an important and instructive phase of the work. ... A good teacher should understand and impress on his students the view that no problem whatever is completely exhausted.

George Polya

Quote Topics

Argument Books Doing Down Else Even Exhausted Fairly Good Good Student Good Students Good Teacher His Important Impress Look Miss No Problem Obtained Phase Problem Should Shut Solution Something Something Else Students Teacher Understand View Whatever Work Written

Quote Author

George Polya
Hungarian - Mathematician
December 13, 1887 - September 7, 1985

...methods are more important than facts. The educational value of a problem given to a student depends mostly on how often the thought processes that are invoked to solve it will be helpful in later situations. It has little to do with how useful the answer to the problem may be. On the other hand, a good problem must also motivate the students; they should be interested in seeing the answer. Since students differ so greatly, I cannot expect everyone to like the problems that please me.

Donald Knuth

In my view, the argument from parsimony is really no argument at all - it typically functions only to shut down more interesting discussion. If history is any guide, it's never a good idea to assume that a scienti?c problem is cornered.

David Eagleman

[T]he main problem in life is sin, and the only solution is God and his grace. The alternative to this view is to identify something besides sin as the main problem with the world and something besides God as the main remedy. That demonizes something that is not completely bad, and makes an idol out of something that cannot be the ultimate good.

Timothy Keller

One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigate the connections of a problem when looking back at its solution.

George Polya

I was not a good teacher; I didn't have the sort of edge one should have on the students, so I decided to do something else.

Terrence Malick

Yale students want to impress you with what they're doing. Harvard students want to impress you with how cool they look while doing it.

Alexandra Petri

The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who wishes to serve equally all his students, future users and nonusers of mathematics, should teach problem solving so that it is about one-third mathematics and two-thirds common sense.

George Polya

The solution to a problem - a story that you are unable to finish - is the problem. It isn't as if the problem is one thing and the solution something else. The problem, properly understood = the solution. Instead of trying to hide or efface what limits the story, capitalize on that very limitation. State it, rail against it.

Susan Sontag

Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as a whole as clearly and as vividly as you can. ... What can I gain by doing so? You should understand the problem, familiarize yourself with it, impress its purpose on your mind.

George Polya

The problem with UKIP and the extreme right - Mr. Le Pen, Wilders - they are really good at making an analysis of the problem. And they immediately go completely overboard in providing a solution that would never work and is morally completely unacceptable.

Frans Timmermans

Any good teacher knows how important it is to connect with students and understand our culture.

Adora Svitak

Just like Pharaoh couldn't get a solution to his problem until he talked to Moses, or Nebuchadnezzar or Belshazzar couldn't get a solution to his problem until he talked to Daniel, the white man in America today will never understand the race problem or come anywhere near getting a solution to the race problem until he talks to The Honorable Elijah Muhammad.

Malcolm X

I think, however, that there isn't any solution to this problem of education other than to realize that the best teaching can be done only when there is a direct individual relationship between a student and a good teacher - a situation in which the student discusses the ideas, thinks about the things, and talks about the things. It's impossible to learn very much by simply sitting in a lecture, or even by simply doing problems that are assigned. But in our modern times we have so many students to teach that we have to try to find some substitute for the ideal.

Richard P. Feynman

Through dialogue, the teacher-of-the-students and the students-of-the-teacher cease to exist and a new term emerges: teacher-student with students-teachers.

Paulo Freire

I focus on faculty, as opposed to facilities, budgets, endowments or students. I do so because I believe, based on many decades of work as a teacher, a scholar and an administrator, that the quality of the faculty determines the quality of the university. Everything else flows from the quality of the faculty. If the faculty are good, you will attract good students and you will have alumni who will raise funds for you.