Compelled Quote by Ernst Mach

Mathematics is the art of accurate reasoning on inaccurately-drawn figures... let that be our motto.

— Arthur Mattuck

“There's nothing so unreliable as figures, and everybody but a mathematician knows that. Figures lie right to your face.”

— Marjorie Benton Cooke

Mathematical demonstrations being built upon the impregnable Foundations of Geometry and Arithmetick are the only truths that can sink into the Mind of Man,…

— Christopher Wren

The bad teacher imposes his ideas and his methods on his pupils, and such originality as they may have is lost in the second-rate…

— Stephen Neill

Some persons have contended that mathematics ought to be taught by making the illustrations obvious to the senses. Nothing can be more absurd or…

— Samuel Taylor Coleridge

A wisely chosen illustration is almost essential to fasten the truth upon the ordinary mind, and no teacher can afford to neglect this part…

— Howard Crosby

“It was a perfect school for Einstein. The teaching was based on the philosophy of a Swiss educational reformer of the early nineteenth century,…

— Walter Isaacson

For a long time the objects that mathematicians dealt with were mostly ill-defined; one believed one knew them, but one represented them with the…

— Henri Poincare

So long as mathematicians can impose up-and-down semantics upon students while trafficking personally in the non-up-and-down advantages of their concise statements, they can impose…

— R. Buckminster Fuller

I am sure that one secret of a successful teacher is that he has formulated quite clearly in his mind what the pupil has…

— Alfred North Whitehead

The more reasonable a student was in mathematics, the more unreasonable she was in the affairs of real life, concerning which fewtrustworthy postulates have…

— George Bernard Shaw

It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to…

— Paul Halmos