To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to be in a state of… — Paul Lockhart Copy Share Image
Mathematics is the art of explanation. If you deny students the opportunity to engage in this activity-- to pose their own problems,… — Paul Lockhart Copy Share Image
Mathematics is about problems, and problems must be made the focus of a student's mathematical life. Painful and creatively frustrating as it… — Paul Lockhart Copy Share Image
So how does one go about proving something like this? It's not like being a lawyer, where the goal is to persuade other people;… — Paul Lockhart Copy Share Image
[Math is] not at all like science. There's no experiment I can do with test tubes and equipment and whatnot that will tell me… — Paul Lockhart Copy Share Image
“Mathematics is the music of reason . To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to… — Paul Lockhart Copy Share Image
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… — Paul Lockhart Copy Share Image
The thing I want you especially to understand is this feeling of divine revelation. I feel that this structure was "out there" all along… — Paul Lockhart Copy Share Image
Why don't we want our children to learn to do mathematics? Is it that we don't trust them, that we think it's too hard?… — Paul Lockhart Copy Share Image
There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics. — Paul Lockhart Copy Share Image
To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to be in a state of confusion −… — Paul Lockhart Copy Share Image
“And I'll go even further and say that mathematics, this art of abstract pattern-making — even more than storytelling, painting, or music - is… — Paul Lockhart Copy Share Image
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 Copy Share Image
“[Students] are being trained to ape arguments, not to intend them.” — Paul Lockhart Copy Share Image
“Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to? The effect of such a production being… — Paul Lockhart Copy Share Image
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