Classroom Quote by Joseph Warren

A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, is…

— Gian-Carlo Rota

A mathematician experiments, amasses information, makes a conjecture, finds out that it does not work, gets confused and then tries to recover. A good…

— Steven G. Krantz

My dad is a mathematician; I think we both have that problem-solving, looking-for-patterns way of thinking.

— Michaela Watkins

Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

— Morris Kline

For most problems found in mathematics textbooks, mathematical reasoning is quite useful. But how often do people find textbook problems in real life? At…

— Lynn Steen

Only professional mathematicians learn anything from proofs. Other people learn from explanations.

— Ralph P. Boas, Jr

Mathematics is about problems, and problems must be made the focus of a student's mathematical life. Painful and creatively frustrating as it may be,…

— Paul Lockhart

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

— Felix Klein

“Knowing mathematics is like wearing a pair of X-ray specs that reveal hidden structures underneath the messy and chaotic surface of the world. Math…

— Jordan Ellenberg

I must admit that outside the university, it is difficult to be a pure mathematician. No one in my family understands what I do.…

— Isadore Singer

People tend to think that mathematicians always work in sterile conditions, sitting around and staring at the screen of a computer, or at a…

— Edward Frenkel

Mathematical reasoning may be regarded...

— Alan Turing