Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary.

- Paul Lockhart

A good problem is something you don't know how to solve. That's what makes it a good puzzle and a good opportunity.

- Paul Lockhart

Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations.

- Paul Lockhart

Mathematics is the purest of the arts, as well as the most misunderstood.

- Paul Lockhart

I don't see how it's doing society any good to have so many members walking around with vague memories of algebraic formulas and geometric diagrams a…

- Paul Lockhart

If teaching is reduced to mere data transmission, if there is no sharing or excitement and wonder, if teachers themselves are passive recipients of i…

- Paul Lockhart

To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to be in a state of confusion − not because it makes…

- Paul Lockhart

The only thing I am interested in using mathematics for is to have a good time and to help others do the same.

- Paul Lockhart

There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics. It is every bit as mind blowing as cosmology …

- Paul Lockhart