An educator's most important task, one might say his holy duty, is to see to it that no child is discouraged at school, and that a child who enters school already discouraged regains his self-confidence through his school and his teacher. This goes hand in hand with the vocation of the educator, for education is possible only with children who look hopefully and joyfully upon the future.

What do you first do when you learn to swim? You make mistakes, do you not? And what happens? You make other mistakes, and when you have made all the mistakes you possibly can without drowning - and some of them many times over - what do you find? That you can swim? Well - life is just the same as learning to swim! Do not be afraid of making mistakes, for there is no other way of learning how to live!

Time is a great teacher, but unfortunately it kills all its pupils. Hector Berlioz It is easier to fight for one's principles than to live up to them.

There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material-these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being taught. What really matters is the communication of the spirit of mathematics. It is a spirit that is active rather than contemplative-a spirit of disciplined search for adventures of the intellect. Only as adventurer can really tell of adventures.

Men of genius are admired, men of wealth are envied, men of power are feared; but only men of character are trusted.

Meanings are not determined by situations, but we determine ourselves by the meanings we give to situations.

Each generation has its few great mathematicians, and mathematics would not even notice the absence of the others. They are useful as teachers, and their research harms no one, but it is of no importance at all. A mathematician is great or he is nothing.