A Quote by George Polya

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.
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.
One third of the economy goes through 'QuickBooks' in terms of businesses invoicing other businesses. Each invoice contains a connection between vendors, suppliers, and customers, and also the price of that connection. Representing the payment graph is huge opportunity and something no other company can do.
If you can develop a connection, what we call an inner connection with the teacher, then it is not even necessary to be in the physical presence of the teacher, although it will always be stronger.
Trump has a connection with his voters that most politicians don't have. I understand it perhaps better than anybody in media, and that connection that he has is not anything that anybody else can break. Only he can break it.
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.
We must establish a personal connection with each other. Connection before content. Without relatedness, no work can occur.
Thus not only the mental and the material, but the theoretical and the practical in the mathematical world, are brought into more intimate and effective connection with each other.
The gist of the matter is this: Every impression that comes in from without, be it a sentence which we hear, an object of vision, or an effluvium which assails our nose, no sooner enters our consciousness than it is drafted off in some determinate direction or other, making connection with the other materials already there, and finally producing what we call our reaction. The particular connections it strikes into are determined by our past experiences and the 'associations' of the present sort of impression with them.
I once knew an otherwise excellent teacher who compelled his students to perform all their demonstrations with incorrect figures, on the theory that it was the logical connection of the concepts, not the figure, that was essential.
I believe in the hand-brain, pencil-to-paper-brain connection. In fact, I teach and I have the first year students do all of their drafting by hand to remind them that there is this physical connection between the two.
I receive emails from readers that both break my heart and give me a profound sense of connection. Several months ago, I received an email from a teacher who told me that 'Legend' was the first book one of her troubled young students had ever read to the end. He cried when he finished it. Stories like that stay with you forever.
The theme that runs through all my books is connection. Connection - physical and non-physical - with other humans, and connection with nature are necessary for our well-being. Without it, we are depressed, lonely, and fail to thrive.
I have always had a very natural connection to the water, and that connection stems from the ocean itself.
Thus you see, most noble Sir, how this type of solution to the Königsberg bridge problem bears little relationship to mathematics, and I do not understand why you expect a mathematician to produce it, rather than anyone else, for the solution is based on reason alone, and its discovery does not depend on any mathematical principle.
Whenever an opportunity comes your way, challenge yourself to first thank God and then quickly follow up with the question, “God, who else is supposed to be blessed by this connection or opportunity?
You've got problems in Central Asia. And you've got problems within our own communities back home. So if we end up saying, look, this has nothing to do with Islam or it's got no connection with that broader question, then we look, frankly, as if we're in denial about the problem. And the interesting thing in the Middle East is that they have absolutely no problem there in identifying that as Islamist extremism and calling it that.
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