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But rising income inequality explains, at best, half of the increase in the rich-poor academic achievement gap. It’s not just that the rich have more money than they used to, it’s that they are using it differently. This is where things get really interesting. High-income families are increasingly focusing their resources — their money, time and knowledge of what it takes to be successful in school — on their children’s cognitive development and educational success. They are doing this because educational success is much more important than it used to be, even for the rich.

Did you ever read a book called “The Number Devil”  by Hans Magnus Enzensberger? If you ever see a copy of it, grab it and have a look. In chapter one, Robert, the hero of the story, meets the Number Devil. The Number Devil explains to Robert that knowing a little bit of arithmetic, such as addition and subtraction, is quite useful for when the batteries of your calculator run out but really it has little to do with mathematics. How often do teachers fail to grasp the distinction? How often do we overstate the importance of the “skills” that we fail to recognize the importance of their application? It’s like a football team that focuses so much energy on their training sessions that they forget to turn up to play their game.

"I loved math. I loved algebra. I really loved geometry, [but] I hit the wall at pre-cal," said Rocca. "That's the problem," said Whitney, "because you were only given one road to go through mathematics. You got the impression that once you hit the wall, that's it. There's nothing more for you. In fact, math is this extremely, very beautiful landscape. And we're showing people just one road cut right through the center of it." Whitney says our math curriculum is designed for rocket scientists. Literally! Fifty years ago America was in a space race against the Soviet Union, and beefing up on our math program was seen as a winning solution.

In which John explains the education continuum and why math and literature both help us understand the universe in surprisingly similar ways.

At Exeter, I learned that what you said was more important than what you knew. I learned that the louder you are, the better you are. I learned that there's only one way to learn anything, and that's to talk in circles until someone takes notice.

This summer, I met a principal who was recently named as the administrator of the year in her state. She was loved and adored by all, but she told me she was leaving the profession. I screamed, "You can't leave us," and she quite bluntly replied, "Look, if I get an offer to lead a school system of orphans, I will be all over it, but I just can't deal with parents anymore; they are killing us."

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