The art of progress is to preserve order amid change and to preserve change amid order.
Algebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world.
In all education the main cause of failure is staleness.
I am sure that one secret of a successful teacher is that he has formulated quite clearly in his mind what the pupil has got to know in precise fashion. He will then cease from half-hearted attempts to worry his pupils with memorizing a lot of irrelevant stuff of inferior importance.
The result of teaching small parts of a large number of subjects is the passive reception of disconnected ideas, not illumed with any spark of vitality.
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