The visionary starts with a clean sheet of paper, and re-imagines the world.

Take a random group of 8-year-old American and Japanese kids, give them all a really, really hard math problem, and start a stopwatch. The American kids will give up after 30, 40 seconds. If you let the test run for 15 minutes, the Japanese kids will not have given up. You have to take it away.

We sometimes think of being good at mathematics as an innate ability. You either have "it" or you don't. But to Schoenfeld, it's not so much ability as attitude. You master mathematics if you are willing to try.

When people reflexively write checks to institutions that have billions of dollars in the bank, they are essentially committing a moral crime. Your money could do good in this world and you're choosing instead to waste it. People have to do a better job of that. You've got to find places where your money's going to do some good and direct your dollars towards that institution.

I don't think people are averse to thinking about things in a deep way, but we have limited time and opportunity to think about things in a deep way. I think that's why there is an appetite for non-fiction - it gives people the opportunity to reexamine ordinary experience and be smarter about it.

There is a simple way to package information that, under the right circumstances, can make it irresistible. All you have to do is find it.

It's as if you were interested in fashion and your neighbor when you were growing up happened to be Giorgio Armani.