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Only dead mathematics can be taught where the attitude of competition prevails: living mathematics must always be a communal possession.

[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary faculties of the mind, but upon the whole mind, that this is the greatest desideratum is. I assume, beyond dispute.

In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching.

This [the opening of the Vatican City radio station built by Marconi earlier in 1931] was a new demonstration of the harmony between science and religion that each fresh conquest of science ever more luminously confirms, so that one may say that those who speak of the incompatibility of science and religion either make science say that which it never said or make religion say that which it never taught.

A science is any discipline in which the fool of this generation can go beyond the point reached by the genius of the last generation.

Science is teaching man to know and reverence truth, and to believe that only so far as he knows and loves it can he live worthily on earth, and vindicate the dignity of his spirit.

If the question were, "What ought to be the next objective in science?" my answer would be the teaching of science to the young, so that when the whole population grew up there would be a far more general background of common sense, based on a knowledge of the real meaning of the scientific method of discovering truth.

And this is the ultimate lesson that our knowledge of the mode of transmission of typhus has taught us: Man carries on his skin a parasite, the louse. Civilization rids him of it. Should man regress, should he allow himself to resemble a primitive beast, the louse begins to multiply again and treats man as he deserves, as a brute beast. This conclusion would have endeared itself to the warm heart of Alfred Nobel. My contribution to it makes me feel less unworthy of the honour which you have conferred upon me in his name.

We would be glad to have your friend come here to study, but tell him that we teach Chemistry here and not Agricultural Chemistry, nor any other special kind of chemistry. ... We teach Chemistry.

The business of education is not to make the young perfect in any one of the sciences, but so to open and dispose their minds as may best make them - capable of any, when they shall apply themselves to it.

The Civic University operates on a global scale but uses its location to form its identity.

Humans more easily remember or learn items when they are studied a few times over a long period of time (spaced presentation), rather than studied repeatedly in a short period of time.

Passive acceptance of the teacher's wisdom is easy to most boys and girls. It involves no effort of independent thought, and seems rational because the teacher knows more than his pupils; it is moreover the way to win the favour of the teacher unless he is a very exceptional man. Yet the habit of passive acceptance is a disastrous one in later life. It causes man to seek and to accept a leader, and to accept as a leader whoever is established in that position.

The act of learning itself is no longer seen as simply a matter of information transfer, but rather as a process of dynamic participation, in which students cultivate new ways of thinking and doing, through active discovery and discussion, experimentation and reflection.

I have learned all kinds of things from my many mistakes. The one thing I never learn to stop making them.

Reason can answer questions, but imagination has to ask them.

The fundamental characteristic of the scientific method is honesty. In dealing with any question, science asks no favors. ... I believe that constant use of the scientific method must in the end leave its impress upon him who uses it. ... A life spent in accordance with scientific teachings would be of a high order. It would practically conform to the teachings of the highest types of religion. The motives would be different, but so far as conduct is concerned the results would be practically identical.

Bravery is believing in yourself, and that thing nobody can teach you.

What borders on the criminal is the poor teaching and neglect of those subjects that deal with the history of ideas and ideals, a knowledge of which is essential to all youth who would assume their place in society as thinking, feeling human beings.

The function of the child is to live his own life - not the life that his anxious parents think he should live.

One of the troubles of the day, observes Mr. C.N. Peac, is that once we came upon the little red schoolhouse, whereas now we come upon the little-read school boy.

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