Short Algebraic Quotes

No scientific theory touches on the mysteries that the religious tradition addresses. A man asking why his days are short and full of suffering is not disposed to turn to algebraic quantum field theory for the answer. The answers that prominent scientific figures have offered are remarkable in their shallowness.

The solution which I am urging is to eradicate the fatal disconnection of subjects which kills the vitality of our modern curriculum. There is only one subject-matter for education, and that is LIfe in all its manifestations. Instead of this single unity, we offer children--Algebra, from which nothing follows; Geometry, from which nothing follows; Science, from which nothing follows; History, from which nothing follows; a Couple of Languages, never mastered; and lastly, most dreary of all, Literature, represented by plays of Shakespeare, with philological notes and short analyses of plot and character to be in substance committed to memory. Can such a list be said to represent Life, as it is known in the midst of living it? The best that can be said of it is, that it is a rapid table of contents which a deity might run over in his mind while he was thinking of creating a world, and has not yet determined how to put it together

He had (like a calculator who means to do nothing else until such time as he has resolved his problem) put down beside him the cigar that, a short while ago, he had had in his mouth, but which he no longer had the necessary freedom of mind to smoke. On remarking the two crouched divinities borne on its arms by the chair set facing, you might've thought the Baron was seeking to solve the riddle of the Sphinx... Now, the figure to which M. de Charlus was applying, and with such intensity, all his mental powers, was that proposed to him by the lineaments of the young Marquis de Surgis' face. It seemed to be, so profound was M. de Charlus' absorption before it, some heraldic motto, some conundrum, some problem in algebra, the riddle or formula of which he was seeking to penetrate.

Chris Argyris, professor emeritus at Harvard Business School, wrote a lovely article in 1977,191 in which he looked at the performance of Harvard Business School graduates ten years after graduation. By and large, they got stuck in middle management, when they had all hoped to become CEOs and captains of industry. What happened? Argyris found that when they inevitably hit a roadblock, their ability to learn collapsed: What’s more, those members of the organization that many assume to be the best at learning are, in fact, not very good at it. I am talking about the well-educated, high-powered, high-commitment professionals who occupy key leadership positions in the modern corporation.… Put simply, because many professionals are almost always successful at what they do, they rarely experience failure. And because they have rarely failed, they have never learned how to learn from failure.… [T]hey become defensive, screen out criticism, and put the “blame” on anyone and everyone but themselves. In short, their ability to learn shuts down precisely at the moment they need it the most.192 [italics mine] A year or two after Wave, Jeff Huber was running our Ads engineering team. He had a policy that any notable bug or mistake would be discussed at his team meeting in a “What did we learn?” session. He wanted to make sure that bad news was shared as openly as good news, so that he and his leaders were never blind to what was really happening and to reinforce the importance of learning from mistakes. In one session, a mortified engineer confessed, “Jeff, I screwed up a line of code and it cost us a million dollars in revenue.” After leading the team through the postmortem and fixes, Jeff concluded, “Did we get more than a million dollars in learning out of this?” “Yes.” “Then get back to work.”193 And it works in other settings too. A Bay Area public school, the Bullis Charter School in Los Altos, takes this approach to middle school math. If a child misses a question on a math test, they can try the question again for half credit. As their principal, Wanny Hersey, told me, “These are smart kids, but in life they are going to hit walls once in a while. It’s vital they master geometry, algebra one, and algebra two, but it’s just as important that they respond to failure by trying again instead of giving up.” In the 2012–2013 academic year, Bullis was the third-highest-ranked middle school in California.194

Imagine what would happen if schools taught with the same approach to curriculum that most churches use. One year, a teacher stumbles onto an engaging curriculum on verbs, with some really cool videos on gerunds. When the kids and teachers get bored with that curriculum, they cut it short, and the teacher runs to the curriculum store, finds a compelling study on algebraic equations (narrated by Rob Bell-Curve), and starts to teach that the next week. When that study is winding down, the teacher decides it’s time to teach on rocks or medieval knights or Christmas around the world.

In his first class of the day, correlated language arts, a class for students at least two years below their grade level in English, Boobie Miles spent the period working on a short research paper that he called “The Wonderful Life of Zebras.” He thumbed through various basic encyclopedia entries on the zebra. He ogled at how fast they ran (“Damn, they travel thirty miles”) and was so captivated by a picture of a zebra giving birth that he showed it to a classmate (“Want to see it have a baby, man?”). By the end of the class, Boobie produced the following thesis paragraph: Zebras are one of the most unusual animals in the world today. The zebra has many different kind in it nature. The habitat of the zebra is in wide open plain. Many zebras have viris types of relatives. He then went on to algebra I, a course that the average college-bound student took in ninth grade and some took in eighth. Because of his status as a special needs student, Boobie hadn’t taken the course until his senior year. He was having difficulty with it and his average midway through the fall was 71. After lunch it was on to creative writing, where Boobie spent a few minutes playing with a purple plastic gargoyle-looking monster. He lifted the fingers of the monster so it could pick its nose, then stuck his own fingers into its mouth. There were five minutes of instruction that day; students spent the remaining fifty-odd minutes working on various stories they were writing. They pretty much could do what they wanted. Boobie wrote a little and also explained to two blond-haired girls what some rap terms meant, that “chillin’ to the strength,” for example, meant “like cool to the max.” Boobie enjoyed this class. It gave him an unfettered opportunity to express himself, and the teacher didn’t expect much from him. His whole purpose in life, she felt, was to be a football player. “That’s the only thing kids like that have going for them, is that physical strength,” she said.

A man asking why his days are short and full of suffering is not disposed to turn to algebraic quantum field theory for the answer.