Whenever a text-book is written of real educational worth, you may be quite certain that some reviewer will say that it will be difficult to teach from it. Of course it will be difficult to teach from it. It it were easy, the book ought to be burned.

It is impossible not to feel stirred at the thought of the emotions of man at certain historic moments of adventure and discovery - Columbus when he first saw the Western shore, Pizarro when he stared at the Pacific Ocean, Franklin when the electric spark came from the string of his kite, Galileo when he first turned his telescope to the heavens. Such moments are also granted to students in the abstract regions of thought, and high among them must be placed the morning when Descartes lay in bed and invented the method of co-ordinate geometry.

If a dog jumps into your lap, it is because he is fond of you; but if a cat does the same thing, it is because your lap is warmer.

The only use of knowledge of the past is to equip us for the present.

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

To see what is general in what is particular, and what is permanent in what is transitory, is the aim of scientific thought.

All practical teachers know that education is a patient process of mastery of details, minute by minute, hour by hour, day by day.