Maths Best Quotes

The best way to be appreciative for your life is to live it; don't die for any other reason but love. Dreams are what guide us, art is what defines us, math is makes it all possible, and love is what lights our way.

Okay. Morality in a nutshell. Don't hurt people if you can avoid it. Don't steal stuff unless you're starving or it's really, really important. Work hard. Pay your bills. Try to help others. Always double-check your math if there are explosives involved. If you screwed it up, you need to see it gets fixed. And don't eat anything that talks. If it doesn't fall under one of those categories, just do the best you can.

She was no use at maths homework, and some days you could starve rather than get a hot meal from her, but Shuggie looked at her now and understood this was where she excelled. Everyday with the make-up on and her hair done, she climbed out of her grave and held her head high. When she had disgraced herself with drink, she got up the next day, put on her best coat, and faced the world. When her belly was empty and her weans were hungry, she did her hair and let the world think otherwise.

An eternal question about children is, how should we educate them? Politicians and educators consider more school days in a year, more science and math, the use of computers and other technology in the classroom, more exams and tests, more certification for teachers, and less money for art. All of these responses come from the place where we want to make the child into the best adult possible, not in the ancient Greek sense of virtuous and wise, but in the sense of one who is an efficient part of the machinery of society. But on all these counts, soul is neglected.

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. “Immortality” may be a silly word, but probably a mathematician has the best chance of whatever it may mean.

My name is Hazel. Augustus Waters was the great star-crossed love of my life. Ours was an epic love story, and I won't be able to get more than a sentence into it without disappearing into a puddle of tears. Gus knew. Gus knows. I will not tell you our love story, because-like all real love stories-it will die with us, as it should. I'd hoped that he'd be eulogizing me, because there's no one I'd rather have..." I started crying. "Okay, how not to cry. How am I-okay. Okay." I took a few deep breaths and went back to the page. "I can't talk about our love story, so I will talk about math. I am not a mathematician, but I know this: There are infinite numbers between 0 and 1. There's .1 and .12 and .112 and infinite collection of others. Of course, there is a Bigger infinite set of numbers between 0 and 2, or between 0 and a million. Some infinities are bigger than other infinities. A writer we used to like taught us that. There are days, many of them, when I resent the size of my unbounded set. I want more numbers than I'm likely to get, and God, I want more numbers for Augustus Waters than he got. But, Gus, my love, I cannot tell you how thankful I am for our little infinity. I wouldn't trade it for the world. You gave me a forever within the numbered days, and I'm grateful.

We walked the rest of the way to math class in silence, but it was the best kind of silence. It was the not-talking kind of silence, the kind that so few people seemed to understand." -Suzy

My “Best Woman” speech Good evening everyone, my name is Rosie and as you can see Alex has decided to go down the non-traditional route of asking me to be his best woman for the day. Except we all know that today that title does not belong to me. It belongs to Sally, for she is clearly his best woman. I could call myself the “best friend” but I think we all know that today that title no longer refers to me either. That title too belongs to Sally. But what doesn’t belong to Sally is a lifetime of memories of Alex the child, Alex the teenager, and Alex the almost-a-man that I’m sure he would rather forget but that I will now fill you all in on. (Hopefully they all will laugh.) I have known Alex since he was five years old. I arrived on my first day of school teary-eyed and red-nosed and a half an hour late. (I am almost sure Alex will shout out “What’s new?”) I was ordered to sit down at the back of the class beside a smelly, snotty-nosed, messy-haired little boy who had the biggest sulk on his face and who refused to look at me or talk to me. I hated this little boy. I know that he hated me too, him kicking me in the shins under the table and telling the teacher that I was copying his schoolwork was a telltale sign. We sat beside each other every day for twelve years moaning about school, moaning about girlfriends and boyfriends, wishing we were older and wiser and out of school, dreaming for a life where we wouldn’t have double maths on a Monday morning. Now Alex has that life and I’m so proud of him. I’m so happy that he’s found his best woman and his best friend in perfect little brainy and annoying Sally. I ask you all to raise your glasses and toast my best friend Alex and his new best friend, best woman, and wife, Sally, and to wish them luck and happiness and divorce in the future. To Alex and Sally!

His voice gentled and his touch became more like a caress. "I love you," he whispered. "Romeo..." "I love your glasses, your clumsiness, your wild hair, even the way you snort when you laugh." He smiled. "I love you in spite of yourself, Rim. Can't you love me in spite of myself?" I couldn't help it, I smiled. "You do come with a lot of baggage." I sighed. "You're impossibly good-looking, terrible at math, and you like to drink that swill you call beer." I mock shuddered. He smiled, but I saw the relief in his eyes. "Me being good-looking is a bad thing?" he teased. "You have a lot of options," I said seriously. "I'm not the best one." "No." He agreed. "You're not." Geez, he could have said it a little nicer. "You're the only one." Oh, well, that was much better. - Romeo & Rimmel

Teaching kids how to nourish their creativity and curiosity, while still providing a sound foundation in critical thinking, literacy and math, is the best way to prepare them for a future of increasingly rapid technological change.

Maybe Lindsay and I are best friends and we hate each other, both. Maybe I’m only one math class away from being a slut like Anna Cartullo. Maybe I am like her, deep down. Maybe we all are: just one lunch period away from eating alone in the bathroom. I wonder if it’s ever really possible to know the truth about someone else, or if the best we can do is just stumble into each other, heads down, hoping to avoid collision.

The motto I have penned on my knuckles is that this is the best world we have--because it's the only world we have. It's the simplest math ever. However many terrible, rankling, peeve-inducing things may occur, there are always libraries. And rain-falling-on-sea. And the moon. And love. There is always something to look back on, with satisfaction, or forward to, with joy. There is always a moment where you boggle at the world--at yourself--at the whole, unlikely, precarious business of being alive--and then start laughing

Why does it have to hurt? Why does it have to be hard?” Tish asked me. “You know how math is your hardest class right now, but it’s also where you’re learning the most?” I explained. “It’s like that. Life is about learning, and we learn best when things get hard.

If you understand the math behind compounding you realize the most important question is not “How can I earn the highest returns?” It’s “What are the best returns I can sustain for the longest period of time?” Little changes compounded for a long time create extraordinary changes. Same as ever.

I think I was born 'in to deep,' and bad things happen every day. Sometimes I have to stab hellions. Sometimes I have to frame friends for murder, and stab evil math teachers, and watch my best friend die. Again. We deal with it, then we move on.

The best way to be appreciative for your life is to live it; don’t die for any other reason but love. Dreams are what guide us, art is what defines us, math is what makes it all possible, and love is what lights our way.” ~ Mike Norton

Is it any wonder that the cultural archetype of my generation is the Nerd, whose apps and gadgets symbolize the hope of economic growth? “The best minds of my generation are thinking about how to make people click ads,” a former math whiz at Facebook recently lamented.

People tend to think that mathematicians always work in sterile conditions, sitting around and staring at the screen of a computer, or at a ceiling, in a pristine office. But in fact, some of the best ideas come when you least expect them, possibly through annoying industrial noise.

The primary math of the real world is one and one equals two. The layman (as, often, do I) swings that every day. He goes to the job, does his work, pays his bills and comes home. One plus one equals two. It keeps the world spinning. But artists, musicians, con men, poets, mystics and such are paid to turn that math on its head, to rub two sticks together and bring forth fire. Everybody performs this alchemy somewhere in their life, but it’s hard to hold on to and easy to forget. People don’t come to rock shows to learn something. They come to be reminded of something they already know and feel deep down in their gut. That's when the world is at its best, when we are at our best, when life feels fullest, one and one equals three. It’s the essential equation of love, art, rock ’n’ roll and rock ’n’ roll bands. It’s the reason the universe will never be fully comprehensible, love will continue to be ecstatic, confounding, and true rock ’n’ roll will never die.

The steps to solving a problem, from elementary math to breaking out of a police station, remained the same. A simple matter of understanding the problem, and selecting the best solution.

Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it's dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it's all illuminated and you can see exactly where you were. Then you enter the next dark room...

They say experience is the best teacher. Instead, it should be that failure is the best teacher. I’ve found that the best learners are the ones who cope best with failure and use it as a learning tool.

The primary math of the real world is one and one equals two. The layman (as, often, do I) swings that every day. He goes to the job, does his work, pays his bills and comes home. One plus one equals two. It keeps the world spinning. But artists, musicians, con men, poets, mystics and such are paid to turn that math on its head, to rub two sticks together and bring forth fire. Everybody performs this alchemy somewhere in their life, but it’s hard to hold on to and easy to forget. People don’t come to rock shows to learn something. They come to be reminded of something they already know and feel deep down in their gut. That when the world is at its best, when we are at our best, when life feels fullest, one and one equals three. It’s the essential equation of love, art, rock ’n’ roll and rock ’n’ roll bands. It’s the reason the universe will never be fully comprehensible, love will continue to be ecstatic, confounding, and true rock ’n’ roll will never die.

You can optimize everything and still fail, because you have to optimize for the right things. That's where reflection and qualitative approaches come in. By asking why, we can see the opportunity for something better beyond the bounds of the current best. Even math has its limits.

Do you miss her? I blinked. Did I what? This was my best friend since preschool we were talking about, the girl whose snack and math homework I’d shared since before I had memorized my own phone number, who’d buried her cold, annoying little feet underneath me during a thousand different movie nights and showed me how to use a tampon. She’d grown up in my kitchen, she was my shadow- self—or I was hers— and Sawyer wanted to know if I missed her? What the hell kind of question was that?

The best that Gauss has given us was likewise an exclusive production. If he had not created his geometry of surfaces, which served Riemann as a basis, it is scarcely conceivable that anyone else would have discovered it. I do not hesitate to confess that to a certain extent a similar pleasure may be found by absorbing ourselves in questions of pure geometry.

A remarkably consistent finding, starting with elementary school students, is that males are better at math than females. While the difference is minor when it comes to considering average scores, there is a huge difference when it comes to math stars at the upper extreme of the distribution. For example, in 1983, for every girl scoring in the highest percentile in the math SAT, there were 11 boys. Why the difference? There have always been suggestions that testosterone is central. During development, testosterone fuels the growth of a brain region involved in mathematical thinking and giving adults testosterone enhances their math skills. Oh, okay, it's biological. But consider a paper published in science in 2008. The authors examined the relationship between math scores and sexual equality in 40 countries based on economic, educational and political indices of gender equality. The worst was Turkey, United States was middling, and naturally, the Scandinavians were tops. Low and behold, the more gender equal the country, the less of a discrepancy in math scores. By the time you get to the Scandinavian countries it's statistically insignificant. And by the time you examine the most gender equal country on earth at the time, Iceland, girls are better at math than boys. Footnote, note that the other reliable sex difference in cognition, namely better reading performance by girls than by boys doesn't disappear in more gender equal societies. It gets bigger. In other words, culture matters. We carry it with us wherever we go.

Most of today’s educational systems are built upon the same learning hierarchy: math and science at the top, humanities in the middle, art on the bottom. The reason for this is because these systems were developed in the nineteenth century, in the midst of the industrial revolution, when this hierarchy provided the best foundation for success. This is no longer the case. In a rapidly changing technological culture and an ever-growing information-based economy, creative ideas are the ultimate resource. Yet our current educational system does little to nourish this resource.

If you are trying to understand or figure out something new, your best bet is to turn off your precision-focused thinking and turn on your “big picture” diffuse mode,

who spends himself in a worthy cause; who at the best knows in the end the triumph of high achievement, and who at the worst, if he fails, at least fails while daring greatly, so that his place shall never be with those cold and timid souls who neither know victory nor defeat.

I think a strong claim can be made that the process of scientific discovery may be regarded as a form of art. This is best seen in the theoretical aspects of Physical Science. The mathematical theorist builds up on certain assumptions and according to well understood logical rules, step by step, a stately edifice, while his imaginative power brings out clearly the hidden relations between its parts. A well constructed theory is in some respects undoubtedly an artistic production. A fine example is the famous Kinetic Theory of Maxwell. ... The theory of relativity by Einstein, quite apart from any question of its validity, cannot but be regarded as a magnificent work of art.

Holmes, too, continued to embrace an exalted image of herself. In her acceptance speech at Glamour magazine’s Women of the Year Awards at Carnegie Hall, she held herself up as a role model for young women. “Do everything you can to be the best in science and math and engineering,” she urged them. “It’s that that our little girls will see when they start to think about who do they want to be when they grow up.

Excel suffers from an image problem. Most people assume that spreadsheet programs such as Excel are intended for accountants, analysts, financiers, scientists, mathematicians, and other geeky types. Creating a spreadsheet, sorting data, using functions, and making charts seems daunting, and best left to the nerds.

I have heard experimental physicist complain sotto voce that some of the best theoreticians have largely stopped doing physics and started to indulge in what is sometimes described as 'mathematical masturbation'.

Yes," I continued, "I discovered this model recently and her style never fails to be mathematically perfect. She seems to come by it naturally. As if she were born resonant. I notice Japanese models tend to do this. Like I said, they seem to have resonance somewhere deep in their culture. But Yuri Nakagawa, she's the best I've ever seen. The best model, with the most powerful resonance. I need her to probe deeper into this profound mathematical instinct, which I call resonance.

The good Lord, in his infinite wisdom, did not make us all the same. Goodness gracious, if he had, this would be a boring world, don't you think? You are different from each other in height, weight, background, intelligence, talent, and many other ways. For that reason, each one of you deserves individual treatment that is best for you. I will decide what that treatment will be.

There was, I think, a feeling that the best science was that done in the simplest way. In experimental work, as in mathematics, there was 'style' and a result obtained with simple equipment was more elegant than one obtained with complicated apparatus, just as a mathematical proof derived neatly was better than one involving laborious calculations. Rutherford's first disintegration experiment, and Chadwick's discovery of the neutron had a 'style' that is different from that of experiments made with giant accelerators.

He thinks our souls split off and wander around for a bit, seeing things properly. He thinks we see for the first time how things really work, how close we are to plants, how everything is connected, and we get it, finally, but only for a second. We see shapes and patterns and it’s incredibly beautiful like the best art ever, with maths and science and music and feelings all at once, the whole of everything. And then we just dissolve and become air.

The math-powered applications powering the data economy were based on choices made by fallible human beings. Some of these choices were no doubt made with the best intentions. Nevertheless, many of these models encoded human prejudice, misunderstanding, and bias into the software systems that increasingly managed our lives. Like gods, these mathematical models were opaque, their workings invisible to all but the highest priests in their domain: mathematicians and computer scientists. Their verdicts, even when wrong or harmful, were beyond dispute or appeal. And they tended to punish the poor and the oppressed in our society, while making the rich richer.

in fact some of the best ideas come when you least expect them,

Skibbereen have a hard time at [math]; the best that the smartest of them can do with adding two plus two is guessing: three plus one. Correct, sort of, but not always useful.

The motto I have penned on my knuckles is that this is the best world we have—because it’s the only world we have. It’s the simplest math ever.

Hey, what are you doing with your hand?”   Eli’s voice came out high pitched in surprise, as she clutched at Rafe’s shoulders. “It’s the best place for leverage if you’re going to make that ladder.” “My ass?  Really?” “What can I say, I’ve done the math, factored in the weight and height ratios and your ass is definitely where I will gain the most leverage in lifting you.

On Rachel's show for November 7, 2012: Ohio really did go to President Obama last night. and he really did win. And he really was born in Hawaii. And he really is legitimately President of the United States, again. And the Bureau of Labor statistics did not make up a fake unemployment rate last month. And the congressional research service really can find no evidence that cutting taxes on rich people grows the economy. And the polls were not screwed to over-sample Democrats. And Nate Silver was not making up fake projections about the election to make conservatives feel bad; Nate Silver was doing math. And climate change is real. And rape really does cause pregnancy, sometimes. And evolution is a thing. And Benghazi was an attack on us, it was not a scandal by us. And nobody is taking away anyone's guns. And taxes have not gone up. And the deficit is dropping, actually. And Saddam Hussein did not have weapons of mass destruction. And the moon landing was real. And FEMA is not building concentration camps. And you and election observers are not taking over Texas. And moderate reforms of the regulations on the insurance industry and the financial services industry in this country are not the same thing as communism. Listen, last night was a good night for liberals and for democrats for very obvious reasons, but it was also, possibly, a good night for this country as a whole. Because in this country, we have a two-party system in government. And the idea is supposed to be that the two sides both come up with ways to confront and fix the real problems facing our country. They both propose possible solutions to our real problems. And we debate between those possible solutions. And by the process of debate, we pick the best idea. That competition between good ideas from both sides about real problems in the real country should result in our country having better choices, better options, than if only one side is really working on the hard stuff. And if the Republican Party and the conservative movement and the conservative media is stuck in a vacuum-sealed door-locked spin cycle of telling each other what makes them feel good and denying the factual, lived truth of the world, then we are all deprived as a nation of the constructive debate about competing feasible ideas about real problems. Last night the Republicans got shellacked, and they had no idea it was coming. And we saw them in real time, in real humiliating time, not believe it, even as it was happening to them. And unless they are going to secede, they are going to have to pop the factual bubble they have been so happy living inside if they do not want to get shellacked again, and that will be a painful process for them, but it will be good for the whole country, left, right, and center. You guys, we're counting on you. Wake up. There are real problems in the world. There are real, knowable facts in the world. Let's accept those and talk about how we might approach our problems differently. Let's move on from there. If the Republican Party and the conservative movement and conservative media are forced to do that by the humiliation they were dealt last night, we will all be better off as a nation. And in that spirit, congratulations, everyone!

Baller929: Hey :) Baller929: You there? Some time had passed before he messaged me again. Baller929: I hope you’re okay. No math homework tonight (finally). Um, I guess I’ll talk to you tomorrow?

people who have common sense, imagination, and determination, who know what they value and what they want, and who also use computers, math, and game theory, are the best decision makers there are.

Men with more “masculine” 2D:4D ratios tend toward higher levels of aggression and math scores; more assertive personalities; higher rates of ADHD and autism (diseases with strong male biases); and decreased risk of depression and anxiety (disorders with a female skew). The faces and handwriting of such men are judged to be more “masculine.” Furthermore, some reports show a decreased likelihood of being gay.

But consider a paper published in Science in 2008.1 The authors examined the relationship between math scores and sexual equality in forty countries (based on economic, educational, and political indices of gender equality; the worst was Turkey, the United States was middling, and, naturally, the Scandinavians were tops). Lo and behold, the more gender equal the country, the less of a discrepancy in math scores. By the time you get to the Scandinavian countries, it’s statistically insignificant. And by the time you examine the most gender-equal country on earth at the time, Iceland, girls are better at math than boys.

Italian cuisine, at its very best, is a math problem that doesn't add up. A tangle of noodles, a few scraps of pork, a grating of cheese are transformed into something magical. 1+1=3: more alchemy than cooking.

Baller929: Now we have to meet. I have to meet the girl that saved my butt in math last year, that’s saving it this year :) You’re my closest friend. If we walk down the same hallways, why can’t it be together?

WordDreamer: Hi, Ella! It’s Reyna Hart. I’m really glad you’re a part of this group. You were so nice to me last year when I needed help with math. You’re really smart :) WordDreamer: P.S. Extra friends would be nice :D

the ability to attend to a task and stick to long-term goals is the greatest predictor of success, greater than academic achievement, extracurricular involvement, test scores, and IQ. She calls this grit, and first discovered its power in the classroom, while teaching seventh-grade math. She left teaching to pursue research on her hunch, and her findings have changed the way educators perceive student potential. Gritty students succeed, and failure strengthens grit like no other crucible.

You achieve the best results from FREEZE-FRAME when you focus in the area of the heart; take a few slow, full breaths; sincerely feel emotions such as love, care, or appreciation; and then forget about breathing while maintaining that feeling state.

Fairy tales, fantasy, legend and myth...these stories, and their topics, and the symbolism and interpretation of those topics...these things have always held an inexplicable fascination for me," she writes. "That fascination is at least in part an integral part of my character — I was always the kind of child who was convinced that elves lived in the parks, that trees were animate, and that holes in floorboards housed fairies rather than rodents. You need to know that my parents, unlike those typically found in fairy tales — the wicked stepmothers, the fathers who sold off their own flesh and blood if the need arose — had only the best intentions for their only child. They wanted me to be well educated, well cared for, safe — so rather than entrusting me to the public school system, which has engendered so many ugly urban legends, they sent me to a private school, where, automatically, I was outcast for being a latecomer, for being poor, for being unusual. However, as every cloud does have a silver lining — and every miserable private institution an excellent library — there was some solace to be found, between the carved oak cases, surrounded by the well–lined shelves, among the pages of the heavy antique tomes, within the realms of fantasy. Libraries and bookshops, and indulgent parents, and myriad books housed in a plethora of nooks to hide in when I should have been attending math classes...or cleaning my room...or doing homework...provided me with an alternative to a reality I didn't much like. Ten years ago, you could have seen a number of things in the literary field that just don't seem to exist anymore: valuable antique volumes routinely available on library shelves; privately run bookshops, rather than faceless chains; and one particular little girl who haunted both the latter two institutions. In either, you could have seen some variation upon a scene played out so often that it almost became an archetype: A little girl, contorted, with her legs twisted beneath her, shoulders hunched to bring her long nose closer to the pages that she peruses. Her eyes are glued to the pages, rapt with interest. Within them, she finds the kingdoms of Myth. Their borders stand unguarded, and any who would venture past them are free to stay and occupy themselves as they would.

In my opinion, defining intelligence is much like defining beauty, and I don’t mean that it’s in the eye of the beholder. To illustrate, let’s say that you are the only beholder, and your word is final. Would you be able to choose the 1000 most beautiful women in the country? And if that sounds impossible, consider this: Say you’re now looking at your picks. Could you compare them to each other and say which one is more beautiful? For example, who is more beautiful— Katie Holmes or Angelina Jolie? How about Angelina Jolie or Catherine Zeta-Jones? I think intelligence is like this. So many factors are involved that attempts to measure it are useless. Not that IQ tests are useless. Far from it. Good tests work: They measure a variety of mental abilities, and the best tests do it well. But they don’t measure intelligence itself.

People who do admit making errors are at best suspended or moved on, thus leaving behind a team who ‘do not make errors’ and have no experience of error management. – H. Thimbleby, ‘Errors + Bugs Needn’t Mean Death’, Public Service Review: UK Science & Technology, 2, pp. 18–19, 2011

Ethan’s parents constantly told him how brainy he was. “You’re so smart! You can do anything, Ethan. We are so proud of you, they would say every time he sailed through a math test. Or a spelling test. Or any test. With the best of intentions, they consistently tethered Ethan’s accomplishment to some innate characteristic of his intellectual prowess. Researchers call this “appealing to fixed mindsets.” The parents had no idea that this form of praise was toxic. 　　Little Ethan quickly learned that any academic achievement that required no effort was the behavior that defined his gift. When he hit junior high school, he ran into subjects that did require effort. He could no longer sail through, and, for the first time, he started making mistakes. But he did not see these errors as opportunities for improvement. After all, he was smart because he could mysteriously grasp things quickly. And if he could no longer grasp things quickly, what did that imply? That he was no longer smart. Since he didn’t know the ingredients making him successful, he didn’t know what to do when he failed. You don’t have to hit that brick wall very often before you get discouraged, then depressed. Quite simply, Ethan quit trying. His grades collapsed. What happens when you say, ‘You’re so smart’ 　　Research shows that Ethan’s unfortunate story is typical of kids regularly praised for some fixed characteristic. If you praise your child this way, three things are statistically likely to happen: 　　First, your child will begin to perceive mistakes as failures. Because you told her that success was due to some static ability over which she had no control, she will start to think of failure (such as a bad grade) as a static thing, too—now perceived as a lack of ability. Successes are thought of as gifts rather than the governable product of effort. 　　Second, perhaps as a reaction to the first, she will become more concerned with looking smart than with actually learning something. (Though Ethan was intelligent, he was more preoccupied with breezing through and appearing smart to the people who mattered to him. He developed little regard for learning.) 　　Third, she will be less willing to confront the reasons behind any deficiencies, less willing to make an effort. Such kids have a difficult time admitting errors. There is simply too much at stake for failure. 　　  　　What to say instead: ‘You really worked hard’ 　　What should Ethan’s parents have done? Research shows a simple solution. Rather than praising him for being smart, they should have praised him for working hard. On the successful completion of a test, they should not have said,“I’m so proud of you. You’re so smart. They should have said, “I’m so proud of you. You must have really studied hard”. This appeals to controllable effort rather than to unchangeable talent. It’s called “growth mindset” praise.

Well, my special qualities are known to all. In this universe, the all important God is only One. In all fields of human activity, the best achiever is called Number One. One sun brings light to this world and every journey begins with the first, the most important step!’ said Number One.

What if the formula “more stuff equals more happiness” is bad math? What if more stuff often just equals more stress? More hours at the office, more debt, more years working in a job I don’t feel called to, more time wasted cleaning and maintaining and fixing and playing with and organizing and reorganizing and updating all that junk I don’t even need. What if more stuff actually equals less of what matters most? Less time. Less financial freedom. Less generosity, which according to Jesus is where the real joy is. Less peace, as I hurry my way through the mall parking lot. Less focus on what life is actually about. Less mental real estate for creativity. Less relationships. Less margin. Less prayer. Less of what I actually ache for? What if I were to reject my culture’s messaging as a half-truth at best, if not a full-on lie, and live into another message? Another gospel?

On average, Texans pay $265 billion per year in taxes to the federal government. Federal government expenditures in Texas, at best, account for only $162 billion. This is a substantial overpayment of $103 billion annually. The math is clear. Texans pay more into the federal system than we get out of it.

To the average mathematician who merely wants to know his work is securely based, the most appealing choice is to avoid difficulties by means of Hilbert's program. Here one regards mathematics as a formal game and one is only concerned with the question of consistency ... . The Realist position is probably the one which most mathematicians would prefer to take. It is not until he becomes aware of some of the difficulties in set theory that he would even begin to question it. If these difficulties particularly upset him, he will rush to the shelter of Formalism, while his normal position will be somewhere between the two, trying to enjoy the best of two worlds.

To the average mathematician who merely wants to know his work is securely based, the most appealing choice is to avoid difficulties by means of Hilbert's program. Here one regards mathematics as a formal game and one is only concerned with the question of consistency ... . The Realist position is probably the one which most mathematicians would prefer to take. It is not until he becomes aware of some of the difficulties in set theory that he would even begin to question it. If these difficulties particularly upset him, he will rush to the shelter of Formalism, while his normal position will be somewhere between the two, trying to enjoy the best of two worlds.

particularly interesting about Cajal is that he achieved his greatness even though he wasn’t a genius—at least, not in the conventional sense of the term. Cajal deeply regretted that he never had a “quickness, certainty, and clearness in the use of words.”10 What’s worse is that when Cajal got emotional, he lost his way with words almost entirely. He couldn’t remember things by rote, which made school, where parroting back information was prized, agony for him. The best Cajal could do was to grasp and remember key ideas; he frequently despaired his modest powers of understanding.11 Yet some of the most exciting areas of neuroscientific research today are rooted in Cajal’s original findings.12

math performance in Asian American women, built around the stereotypes of Asians being good at math, and women not. Half the subjects were primed to think of themselves as Asian before a math test; their scores improved. Half were primed about gender; scores declined. Moreover, levels of activity in cortical regions involved in math skills changed in parallel.

Having described the basic methods of Hindu-Arabic arithmetic in the first seven chapters, Leonardo devoted most of the remainder of the book to practical problems. Chapters 8 and 9 provide dozens of worked examples on buying, selling, and pricing merchandise, using what we would today call reasoning by proportions—the math we use to check the best deal in the supermarket.

I thought you had the best grades, Charlotte,” Lina said to me. “No, Ximena does,” Maya interjected. She started counting off on her fingers. “Ximena. Charlotte. Simon. Me. And then either Auggie or Remo. Auggie’s actually got better grades than Remo in math, but he didn’t do that well in Spanish on his last few quizzes, and that’s bringing his whole grade point average down.

variety, don't overdo, always have a proper breakfast, have a good daily amount of antioxidants, don't omit or exaggerate with refined sugar and, most of all, don't forget to insert into your diet a good amount of foods containing phosphorous and B-complex vitamins, great substances to let your brain work at its best. Some examples of foods containing these nutritional substances? Cereals, fish, nuts.

But consider a paper published in Science in 2008.1 The authors examined the relationship between math scores and sexual equality in forty countries (based on economic, educational, and political indices of gender equality; the worst was Turkey, the United States was middling, and, naturally, the Scandinavians were tops). Lo and behold, the more gender equal the country, the less of a discrepancy in math scores.

Monstrous Sea Private Message 2:54 p.m. 28 - Oct -16 rainmaker: Hey, it’s Wallace. Please tell me I blew your mind again. You make the best face when your mind is being blown. MirkerLurker: Whoa that sounded dirty. rainmaker: Too much? MirkerLurker: Ummmmmmmmmm rainmaker: Too much. Noted. MONSTROUS SEA FORUMS USER PROFILE rainmaker * Fanfiction Moderator AGE: Not telling you LOCATION: NO INTERESTS: MS. Writing things.Campfires. Sweaters. Sleeping in. Dogs. Followers 1,350,199 | Following 54 | Posts 9,112 [Unique Works 144] UPDATES View earlier updates Oct 20 2016 The next chapter of the Auburn Blue fanfic will probably be a little late. Just started at the new school. So, that’s fun. Oct 21 2016 Thanks to @joojooboogee for my new avatar! #DallasRainerForever Oct 23 2016 If math homework were a real person, I’d be doing 25 to life. #Mathslaughter Oct 24 2016 There might actually be other MS fans at this school. THANK JESUS I’M SAVED. Oct 26 2016 Life is destroying me today. No time to write. Stupid math. #Mathslaughter Oct 27 2016 Definitely another MS fan at this school. Pros: Awesome; Not alone; Pretty girl. Cons: Pretty girl. #Fuuuuuuuuck Oct 28 2016 Heyyyy let’s not talk about the pretty girl anymore okay she’s probably looking at this.

TheRealCinderella: Hi, I’m Ella Reyes! Nice to meet you all. My name is Daniela, but no one calls me that. I do know Rey from last year’s math class, and she’s really cool, by the way. I have two stepsisters, Courtney and Lindsay. Maybe you know them. Anyway, feel free to introduce yourself too. TheRealCinderella: And whatever we say here, stays here. Say whatever you want. Rant. Laugh. Cry. Say what’s on your mind. My lips are sealed :)

Hope is good. Without it, well, you do the math. But hope has to be like a prayer. Putting it out there to something more powerful than yourself. If the last few months have taught me anything, it’s this: We don’t have control, we have choices. The little ones, the big ones, these are the points on which our lives pitch and pivot. All we can do is make the best choices we can with what we know, and hope that things turn out the way we want.

Olo, Remi, Kwuga, Nur, Anajama, Rhoden. Only Olo and Remi were in my group. Everyone else I met in the dining area or the learning room where various lectures were held by professors onboard the ship. They were all girls who grew up in sprawling houses, who’d never walked through the desert, who’d never stepped on a snake in the dry grass. They were girls who could not stand the rays of Earth’s sun unless it was shining through a tinted window. Yet they were girls who knew what I meant when I spoke of “treeing.” We sat in my room (because, having so few travel items, mine was the emptiest) and challenged each other to look out at the stars and imagine the most complex equation and then split it in half and then in half again and again. When you do math fractals long enough, you kick yourself into treeing just enough to get lost in the shallows of the mathematical sea. None of us would have made it into the university if we couldn’t tree, but it’s not easy. We were the best and we pushed each other to get closer to “God.

The researchers found that when students were given problems to solve, and they did not know methods to solve them, but they were given opportunity to explore the problems, they became curious, and their brains were primed to learn new methods, so that when teachers taught the methods, students paid greater attention to them and were more motivated to learn them. The researchers published their results with the title “A Time for Telling,” and they argued that the question is not “Should we tell or explain methods?” but “When is the best time do this?

He had an imagination so excitable that it flirted with the edges of fantasy. While you are alone you are entirely your own master. Ideas are often generated in physical gathering places where people with diverse interests encounter one another serendipitously. Math could extract from nature the secrets of its beauty and reveal the beauty of its secrets. The best way to approach his life is the way he approached the world: filled with a sense of curiosity and an appreciation for its infinite wonders. Be open to mystery. Not everything needs sharp lines.

the shadows caressed the folds. I tried to see how light that was reflected from one object subtly colored the shadows of another object. I noticed how the glint of a lustrous spot on a shiny surface moved when I tilted my head. When I looked at a distant tree and a near one, I tried to visualize the lines of perspective. When I saw an eddy of water, I compared it to a ringlet of hair. When I couldn’t understand a math concept, I did the best I was able to visualize it. When I saw people at a supper, I studied the relationship of their motions to their emotions.

[Lemaire] has been working on the thirteenth-root challenge for a number of years. Previously, his best time had been a sluggish 77 seconds. Afterward, he told the press, "The first digit is very easy, the last digit is very easy, but the inside numbers are extremely difficult. I use an artificial intelligence system on my own brain instead of on a computer. I believe most people can do it,but I also have a high-speed mind. My brain works sometimes very, very fast.... I use a process to improve my skills to behave like a computer. It's like running a program in my head to control my brain." "Sometimes," he said, "when I do multiplication my brain works so fast that I need to take medication. I think somebody without a very fast brain can also do this kind of multiplication but this may be easier for me because my brain is faster." He practices math regularly. So that he can think faster, he exercises, doesn't drink caffeine or alcohol, and avoids foods that are high in sugar or fat. His experience of math is so intense that he also has to take regular time off to rest his brain. Otherwise, he thinks there is a danger that too much math could be bad for his health and his heart.

We become more successful when we are happier and more positive. For example, doctors put in a positive mood before making a diagnosis show almost three times more intelligence and creativity than doctors in a neutral state, and they make accurate diagnoses 19 percent faster. Optimistic salespeople outsell their pessimistic counterparts by 56 percent. Students primed to feel happy before taking math achievement tests far outperform their neutral peers. It turns out that our brains are literally hardwired to perform at their best not when they are negative or even neutral, but when they are positive.

Honestly,” Gray Man continued, “why would these people engage in these ritual activities if those activities didn’t work? They were doing stuff that other people don’t do and in fact wouldn’t dare do. They engaged in these activities because they most likely worked for them. What’s the alternative? That somehow they were irrational, delusional people, while at the same time being some of the best problem solvers on the planet, requiring a high degree of critical thinking, an excellent understanding of math, and a very good working knowledge of other various fields of science to solve the problems they were working on?

But I was still hurt. These past few years, I’d been obliged to accept orders from the man from the Village Fishery Association, but my consolation had come from knowing I was giving my daughter the best education possible. She was smart and ambitious. She knew things I would never know. But now I saw other realities: You can do everything for a child. You can encourage her to read and do her math homework. You can forbid her to ride a bike, giggle too much, or see a boy. I’d just asked her to promise she wouldn’t see Yo-chan or Mi-ja again. She’d done so grudgingly. Sometimes everything you do is as pointless and as ineffective as shouting into the wind.

Albert Einstein, considered the most influential person of the 20th century, was four years old before he could speak and seven before he could read. His parents thought he was retarded. He spoke haltingly until age nine. He was advised by a teacher to drop out of grade school: “You’ll never amount to anything, Einstein.” Isaac Newton, the scientist who invented modern-day physics, did poorly in math. Patricia Polacco, a prolific children’s author and illustrator, didn’t learn to read until she was 14. Henry Ford, who developed the famous Model-T car and started Ford Motor Company, barely made it through high school. Lucille Ball, famous comedian and star of I Love Lucy, was once dismissed from drama school for being too quiet and shy. Pablo Picasso, one of the great artists of all time, was pulled out of school at age 10 because he was doing so poorly. A tutor hired by Pablo’s father gave up on Pablo. Ludwig van Beethoven was one of the world’s great composers. His music teacher once said of him, “As a composer, he is hopeless.” Wernher von Braun, the world-renowned mathematician, flunked ninth-grade algebra. Agatha Christie, the world’s best-known mystery writer and all-time bestselling author other than William Shakespeare of any genre, struggled to learn to read because of dyslexia. Winston Churchill, famous English prime minister, failed the sixth grade.

Why? This is our world of habituation, where nothing is ever as good as that first time. Unfortunately, things have to work this way because of our range of rewards.86 After all, reward coding must accommodate the rewarding properties of both solving a math problem and having an orgasm. Dopaminergic responses to reward, rather than being absolute, are relative to the reward value of alternative outcomes. In order to accommodate the pleasures of both mathematics and orgasms, the system must constantly rescale to accommodate the range of intensity offered by particular stimuli. The response to any reward must habituate with repetition, so that the system can respond over its full range to the next new thing.

I post a petition on my Facebook page. Which of my friends will see it on their news feed? I have no idea. As soon as I hit send, that petition belongs to Facebook, and the social network’s algorithm makes a judgment about how to best use it. It calculates the odds that it will appeal to each of my friends. Some of them, it knows, often sign petitions, and perhaps share them with their own networks. Others tend to scroll right past. At the same time, a number of my friends pay more attention to me and tend to click the articles I post. The Facebook algorithm takes all of this into account as it decides who will see my petition. For many of my friends, it will be buried so low on their news feed that they’ll never see it.

Aunt Maxie giggled. ‘What can he be thinking about so hard?’ ‘Best not to know,’ his mother said. She tsked. ‘One day that boy’ll go too far.’ ‘Something serious. Look at him. He can’t even hear us talking about him. What can it be?’ ‘Complex numbers,’ Garvie said, without taking his eyes off the table. ‘Oh.’ With a suspicious glance at her son, Garvie’s mother asked Aunt Maxie about the new locl convenience store, and they settled into a conversation about the scandalous rising prices of food. Garvie carried on thinking. a + bi, where i has the property i squared = -1. The product of a real number and an imaginary number. You don’t compute complex numbers, you rotate them. You move them into an imaginary dimension and the answer is an unexpected jolt from the blue. ‘Garvie? Garvie?’ He looked up at his aunt. ‘Alex is lying,’ he said.

How do you get into making video games anyway? Sadie hated answering this question, especially after a person told her he hadn't heard of Ichigo. "Well, I learned to program computers in middle school, I got an 800 on my math SAT, won a Westinghouse and a Leipzig, and then I went to MIT, which, by the way, is highly competitive, even for a lowly female like myself, and studied computer science. At MIT, I learned four or five more programming languages and studied psychology with an emphasis on ludic techniques and persuasive designs, and English, including narrative structures, the classics, and the history of interactive storytelling. Got myself a great mentor. Regrettably made him my boyfriend. Suffice it to say, I was young. And then I dropped out of school for a time to make a game because my best frenemy wanted me to. That game became the game you never heard of. But yeah, it sold around two and a half million copies, just in the U.S., so...." Instead, she said, "I like to play games a lot, so I thought I'd see if I could make them.

The 2D:4D ratio is so variable, and the sex difference so small, that you can’t determine someone’s sex by knowing it. But it does tell you something about the extent of fetal testosterone exposure. So what does the extent of exposure (as assessed by the ratio) predict about adult behavior? Men with more “masculine” 2D:4D ratios tend toward higher levels of aggression and math scores; more assertive personalities; higher rates of ADHD and autism (diseases with strong male biases); and decreased risk of depression and anxiety (disorders with a female skew). The faces and handwriting of such men are judged to be more “masculine.” Furthermore, some reports show a decreased likelihood of being gay. Women having a more “feminine” ratio have less chance of autism and more of anorexia (a female-biased disease). They’re less likely to be left-handed (a male-skewed trait). Moreover, they exhibit less athletic ability and more attraction to highly masculine faces. And they’re more likely to be straight or, if lesbian, more likely to take stereotypical female sexual roles.72

A remarkably consistent finding, starting with elementary school students, is that males are better at math than females. While the difference is minor when it comes to considering average scores, there is a huge difference when it comes to math stars at the upper extreme of the distribution. For example, in 1983, for every girl scoring in the highest percentile on the math SAT, there were eleven boys. Why the difference? There have always been suggestions that testosterone is central. During development, testosterone fuels the growth of a brain region involved in mathematical thinking, and giving adults testosterone enhances some math skills. Oh, okay, it’s biological. But consider a paper published in Science in 2008.1 The authors examined the relationship between math scores and sexual equality in forty countries (based on economic, educational, and political indices of gender equality; the worst was Turkey, the United States was middling, and, naturally, the Scandinavians were tops). Lo and behold, the more gender equal the country, the less of a discrepancy in math scores. By the time you get to the Scandinavian countries, it’s statistically insignificant. And by the time you examine the most gender-equal country on earth at the time, Iceland, girls are better at math than boys.

He’s threatening the President of the United States if we take you into custody?” Creek asked, his thoughts apparently in order. “Actually, it would be more like a declaration of war on the US government, if you abduct me.” “He thinks he can take on the entire US military?” Creek asked, incredulous. “General, he’s a lot more powerful than I thought.  He’s way beyond demigod status, more like elder god.  He can appear anywhere, anytime. His claws cut through anything. Who knows what else he can do!” Roma said, looking at me for additional information. I shrugged.  Hell, I didn’t know what he could do.  Elder god? “Christian, you could have avoided capture or escaped, right?” Tanya asked. “Yeah,” I said. “Okwari knows this?” she asked. “Yeah, but see, here’s the thing.  He spent a thousand years as a slave in Hell.  I set him free.  His math is pretty simple.” It was quiet for a moment, except for the personnel trying to clean up the lobby.  “Major Deckert, how are you hooked up in all this?” the general asked, obviously acquainted with the security chief. “I work for Ms. Demidova, General,” he said, rocking back on his heels, hands clasped behind his back.  “For what it’s worth, General, in my opinion, I wouldn’t touch Gordon here with a four-mile pole.” “You think that monster could really fight the government?” Creek asked. “Hell, Sir, I was talking about my employer.” He waved in Tanya’s direction. “I didn’t even know that thing existed.  But nothing surprises me with Gordon around.” I gave him my best glare, but it just bounced right off.

Still, the appeal of regressive ideas is perennial, and the case for reason, science, humanism, and progress always has to be made. When we fail to acknowledge our hard-won progress, we may come to believe that perfect order and universal prosperity are the natural state of affairs, and that every problem is an outrage that calls for blaming evildoers, wrecking institutions, and empowering a leader who will restore the country to its rightful greatness. I have made my own best case for progress and the ideals that made it possible, and have dropped hints on how journalists, intellectuals, and other thoughtful people (including the readers of this book) might avoid contributing to the widespread heedlessness of the gifts of the Enlightenment. Remember your math: an anecdote is not a trend. Remember your history: the fact that something is bad today doesn’t mean it was better in the past. Remember your philosophy: one cannot reason that there’s no such thing as reason, or that something is true or good because God said it is. And remember your psychology: much of what we know isn’t so, especially when our comrades know it too. Keep some perspective. Not every problem is a Crisis, Plague, Epidemic, or Existential Threat, and not every change is the End of This, the Death of That, or the Dawn of a Post-Something Era. Don’t confuse pessimism with profundity: problems are inevitable, but problems are solvable, and diagnosing every setback as a symptom of a sick society is a cheap grab for gravitas. Finally, drop the Nietzsche. His ideas may seem edgy, authentic, baaad, while humanism seems sappy, unhip, uncool. But what’s so funny about peace, love, and understanding?

Knock, knock. Who's there? A: Lettuce Q: Lettuce who? A: Lettuce in, it's freezing out here.. . 2. Q: What do elves learn in school? A: The elf-abet . 3. Q: Why was 6 afraid of 7? A: Because: 7 8 9 . . 4. Q. how do you make seven an even number? A. Take out the s! . 5. Q: Which dog can jump higher than a building? A: Anydog – Buildings can’t jump! . 6. Q: Why do bananas have to put on sunscreen before they go to the beach? A: Because they might peel! . 7. Q. How do you make a tissue dance? A. You put a little boogie in it. . 8. Q: Which flower talks the most? A: Tulips, of course, 'cause they have two lips! . 9. Q: Where do pencils go for vacation? A: Pencil-vania . 10. Q: What did the mushroom say to the fungus? A: You're a fun guy [fungi]. . 11. Q: Why did the girl smear peanut butter on the road? A: To go with the traffic jam! . 11. Q: What do you call cheese that’s not yours? A: Nacho cheese! . 12. Q: Why are ghosts bad liars? A: Because you can see right through them. . 13. Q: Why did the boy bring a ladder to school? A: He wanted to go to high school. . 14. Q: How do you catch a unique animal? A: You neak up on it. Q: How do you catch a tame one? A: Tame way. . 15. Q: Why is the math book always mad? A: Because it has so many problems. . 16. Q. What animal would you not want to pay cards with? A. Cheetah . 17. Q: What was the broom late for school? A: Because it over swept. . 18. Q: What music do balloons hate? A: Pop music. . 19. Q: Why did the baseball player take his bat to the library? A: Because his teacher told him to hit the books. . 20. Q: What did the judge say when the skunk walked in the court room? A: Odor in the court! . 21. Q: Why are fish so smart? A: Because they live in schools. . 22. Q: What happened when the lion ate the comedian? A: He felt funny! . 23. Q: What animal has more lives than a cat? A: Frogs, they croak every night! . 24. Q: What do you get when you cross a snake and a pie? A: A pie-thon! . 25. Q: Why is a fish easy to weigh? A: Because it has its own scales! . 26. Q: Why aren’t elephants allowed on beaches? A:They can’t keep their trunks up! . 27. Q: How did the barber win the race? A: He knew a shortcut! . 28. Q: Why was the man running around his bed? A: He wanted to catch up on his sleep. . 29. Q: Why is 6 afraid of 7? A: Because 7 8 9! . 30. Q: What is a butterfly's favorite subject at school? A: Mothematics. Jokes by Categories 20 Mixed Animal Jokes Animal jokes are some of the funniest jokes around. Here are a few jokes about different animals. Specific groups will have a fun fact that be shared before going into the jokes. 1. Q: What do you call a sleeping bull? A: A bull-dozer. . 2. Q: What to polar bears eat for lunch? A: Ice berg-ers! . 3. Q: What do you get from a pampered cow? A: Spoiled milk.

Sometimes we think we are not capable of doing certain things. I hear comments from my students such as, “My brain isn’t wired to do math,” or “I am not good at math.” It is true that there are people who are better at math than you, but that does not mean you can’t do it. This just means you need to put in more effort than others do. Focusing on our weaknesses may hinder our progress. We may think that we must be born with certain skills and abilities; they must be in our genes. This is not the case. Do you think Nephi could build a ship? Could the brother of Jared have caused light to come into dark barges? Do you think Noah could have built an ark that would hold two of every animal species on the earth? Do you think Moses had the power to part a sea? Actually, no. None of these men had the power to do any of these things. However, they all had something in common. They all knew how to tap into the power of someone who could—the Savior’s power. It is so important that we learn how to tap into that power. The Atonement literally means “at-one-ment,” or becoming one with God. The Savior gave us the power to become gods. He enabled us so we would be able to perform miracles through Him. But we must understand that this kind of power is not free. There is only one thing that the Savior, through His Atonement, gave us for free and that is the power to overcome death. Everything else that He offers must come “after all we can do.” [2] For example, Jesus Christ promises us eternal life, but only after we have faith in Him, obey His commandments, and endure to the end. Similarly, He gives us power to move mountains, but only after doing all we can and having trust in Him. The power to change our lives, change the world, and perform miracles is within each of us. However, we need to have enough humility to realize that, in the end, we are not the ones performing the miracles—He is. Occasionally, I have a student who does not do their homework, rarely comes to class, and then comes at the end of the semester and asks, “Sister Qumsiyeh, is there anything I can do to pass? Do you offer any extra credit?” I know some of you are smiling right now because you know you have done this to your teachers. This is what I wish I could say to the student who asks that question: “You need to invent a time machine and go back and do what you should have done this semester. You failed because you did not try your best. It is too late.” Do we all really hope to stand before the Savior at the Judgement Day and expect Him to save us without us doing our part? Do we really expect Him to allow us into the celestial kingdom and to just save us? No, that is not how the Atonement works. It does not work without us having tried our best. Of course, our best may not be enough. In fact, it hardly ever is. But if we do our best and have faith in Him, He magnifies our efforts. The brother of Jared could not make the 16 stones shine, but he spent hours preparing them and then humbly took them to the Lord and basically said, “Here is my small effort; magnify it.” This the Lord did. [3] Elder David A. Bednar said, “The power of the Atonement makes repentance possible and quells the despair caused by sin; it also strengthens us to see, do, and become good in ways that we could never recognize or accomplish with our limited mortal capacity.

Kern was the classic oldest son of a strong, iron-willed father, secretly afraid that he couldn’t live up to the model, and thus quite skittish and sensitive to criticism. Even his appearance suggested vulnerability. He had feathery auburn hair with red highlights, broad cheeks and trusting brown eyes that opened wide with disappointment when he was hurt. He mostly excelled at things that required a lot of solitude and a minimum of social contact, math and science, and his best friend was a science nerd and ham-radio freak who lived in the village nearby, Louie DeChiaro.

English teacher: Sam, form a sentence using the word aftermath. Sam: 'I always feel sleepy after math class.

Best thing about mathematics is that it teach us to love the problem.

Broadly speaking, it seems that teachers help you know and understand and coaches help you practise and get better. Returning to the notion of how we are useful to our students, which do your students need most from you? The following questionnaire can help you think about this further.   Your turn 2 Underlying philosophies Grade each statement from 1 (don’t agree) to 10 (agree completely). Make a note of your answers, if you wish, to discuss with a colleague. a) Learning a language means learning words and rules. b) Learning a language means repeatedly using it. c) People learn best by noticing and working things out. d) They learn best by communicating with other people. e) Mistakes show that students have not understood the grammar properly. f) They show that they have not practised enough. g) Speaking is a conscious, cognitive process. h) Speaking is an automatic habit.   Perhaps all of these statements are true for you. Still, you may have found that you favour some more than others. Notice how a), c), e) and g) promote the idea of language as knowledge to learn, a bit like maths or music theory, whereas b), d), f) and h) reflect the side of learning that involves practising a skill, more like tennis or playing the piano. If you think that the skill side of language learning is particularly important, you will probably feel comfortable thinking of yourself as a language coach, someone whose main job is to get students practising and improving. If you see language as knowledge, the question to ask yourself is how your students can best acquire that knowledge, from you teaching it to them or from other sources of reference and input?

Teacher: "Why are you on the floor?" Johnny: "Because you said to do this math problem without tables!

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

Forget it once. *** Knock, knock! Who's there? Accordion! Accordion who? Accordion to the TV, it's going to rain tomorrow. *** Yo momma so stupid she tried to commit suicide by jumping off a building but got lost on the way down. *** Teacher: Why is the Mississippi such an unusual river? Student: Because it has four eyes and can't see! *** Teacher: "Why are you on the floor?" Johnny: "Because you said to do this math problem without tables!" *** How do you make an elephant float? Take one elephant, two tons of ice cream, and one ton of soda. Blend. *** In

Chapter 4 On-the-Spot TPTs You can have the best lesson and read the most intriguing stories, but if you've lost your students, your wonderful lesson wasn't as wonderful as you had hoped. For me that was a huge wake-up call, that one math lesson where I looked up from the overhead and realized no one was with me. See, in my head, it was going great! But it was going great for me, not for them! —Courtney Cislo, 5th grade teacher

At the start of this book I presented ten things I used to believe that I no longer do. So, it seems only fitting to end with ten things I now believe that I wished I knew when I first started teaching. Students remember what they are thinking about, or attending to. Planning for achievement is more important than planning for motivation. Practice does not make perfect, practice makes permanent. Students do not think and learn differently due to their learning styles, but because of their amount of domain-specific knowledge. My choice of examples and exercises are the single most important part of my planning. It often makes sense to teach the How before the Why. Students can be struggling but not learning. Effective differentiation is best achieved in terms of the time students spend on a task, not by giving different students different tasks to do. Retrieval, predominantly through frequent low-stakes quizzing, is the key to long-term learning. Perhaps, above all, the best thing I can do to help my students become the independent problem-solvers I want them to be is to carefully and explicitly teach them.

Warren Buffett puts it all rather well: “What the human being is best at doing is interpreting all new information so that their prior conclusions remain intact.