A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form

Paul Lockhart

Top 10 Best Quotes

“It is the story that matters not just the ending.”

“Mental acuity of any kind comes from solving problems yourself, not from being told how to solve them.”

“No mathematician in the world would bother making these senseless distinctions: 2 1/2 is a "mixed number " while 5/2 is an "improper fraction." They're EQUAL for crying out loud. They are the exact same numbers and have the exact same properties. Who uses such words outside of fourth grade?”

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

“Mathematics is the music of reason. 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 no sense to you, but because you gave it sense and you still don't understand what your creation is up to; to have a break-through idea; to be frustrated as an artist; to be awed and overwhelmed by an almost painful beauty; to be alive, damn it.”

“The thing I want you especially to understand is this feeling of divine revelation. I feel that this structure was "out there" all along I just couldn't see it. And now I can! This is really what keeps me in the math game-- the chance that I might glimpse some kind of secret underlying truth, some sort of message from the gods.”

“Mathematics is the art of explanation.”

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

“In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide -- a relief from daily life, an anodyne to the practical workaday world.”

“Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to? The effect of such a production being made over something so simple is to make people doubt their own intuition. Calling into question the obvious by insisting that it be 'rigorously proved' ... is to say to a student 'Your feelings and ideas are suspect. You need to think and speak our way.”

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Book Keywords:

inspiration, mathematics, education, intuition, math, geometry, story, intelligence, fantasy, journey, problems, beauty