Learning Math Quotes & Sayings

Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box - a valuable ability in today's world. — Keith Devlin

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. — Thomas Moore

I was always good at math, but I was good at everything. It sounds obnoxious, but I was just smart. In school, it's kind of obvious when you're learning things faster than other kids. — Lisa Randall

In School of One, students have daily "playlists" of their learning tasks that are attuned to each student's learning needs, based on that student's readiness and learning style. For example, Julia is way ahead of grade level in math and learns best in small groups, so her playlist might include three or four videos matched to her aptitude level, a thirty-minute one-on-one tutoring session with her teacher, and a small group activity in which she works on a math puzzle with three peers at similar aptitude levels. There are assessments built into each activity so that data can be fed back to the teacher to choose appropriate tasks for the next playlist. — Eric Ries

The formulation of the problem is often more essential than its solution, which may be merely a matter of mathematical or experimental skill. — Albert Einstein

The modified Mozart used by Tomatis, Paul, iLs, and others over time in an individualized therapy must be distinguished from claims made in the media in the 1990s that mothers could raise the IQ of their children by having them briefly listen to unfiltered Mozart. This claim was based on a study not of mothers and babies but of college students who listened to Mozart ten minutes a day and improved IQ scores on spatial reasoning tests - an effect that lasted only ten to fifteen minutes! Hype aside, different studies by Gottfried Schlaug, Christo Pantev, Laurel Trainor, Sylvain Moreno, and Glenn Schellenberg have shown that sustained music training, such as learning to play an instrument, can lead to brain change, enhance verbal and math skills, and even modestly increase IQ.] — Norman Doidge

We could use up two Eternities in learning all that is to be learned about our own world and the thousands of nations that have arisen and flourished and vanished from it. Mathematics alone would occupy me eight million years. — Mark Twain

Chess can help a child develop logical thinking, decision making, reasoning, and pattern recognition skills, which in turn can help math and verbal skills. — Susan Polgar

So, at a minimum, our educational systems must be retooled to maximize these needed skills and attributes: strong fundamentals in writing, reading, coding, and math; creativity, critical thinking, communication, and collaboration; grit, self-motivation, and lifelong learning habits; and entrepreneurship and improvisation - at every level. The — Thomas L. Friedman

In the online math class, there was almost no meaningful student/teacher or student/student interaction. To equate this type of online learning with a real-world classroom experience is a major stretch. — Ian Lamont

The New Groupthink is also practiced in our schools, via an increasingly popular method of instruction called "cooperative" or "small group" learning. In many elementary schools, the traditional rows of seats facing the teacher have been replaced with "pods" of four or more desks pushed together to facilitate countless group learning activities. Even subjects like math and creative writing, which would seem to depend on solo flights of thought, are often taught as group projects. In one fourth-grade classroom I visited, a big sign announced the "Rules for Group Work," including, YOU CAN'T ASK A TEACHER FOR HELP UNLESS EVERYONE IN YOUR GROUP HAS THE SAME QUESTION. — Susan Cain

I'm very committed to its educational institutions, including my alma mater Central Falls High School's drama program, because I know that's what got me my start. I do everything I can to keep it alive since it made me feel like I had something to give to the world. I also support the Segue Institute for Learning, a charter school in Central Falls run by a friend of mine that my niece attends. I'm committed to that because of its proven results. They have the highest math scores of any charter school in Rhode Island. — Viola Davis

If I'd loved my chemistry teacher and my maths teacher, goodness knows what direction my life might have gone in. I remember there was a primary school teacher who really woke me up to the joys of school for about one year when I was ten. He made me interested in things I would otherwise not have been interested in - because he was a brilliant teacher. He was instrumental in making me think learning was quite exciting. — Colin Firth

I've written about 2,000 short stories; I've only published 300 and I feel I'm still learning. Any man who keeps working is not a failure. He may not be a great writer, but if he applies the old fashioned virtues of hard, constant labor, he'll eventually make some kind of career for himself as a writer.
Ray Bradbury, 1967 interview
(Doing the Math - that means for every story he sold, he wrote six "un-publishable" ones. Keep typing!) — Ray Bradbury

As a child, I was called stupid and lazy. On the SAT I got 159 out of 800 in math. My parents had no idea that I had a learning disability. — Henry Winkler

For all the time schools devote to the teaching of mathematics, very little (if any) is spent trying to convey just what the subject is about. Instead, the focus is on learning and applying various procedures to solve math problems. That's a bit like explaining soccer by saying it is executing a series of maneuvers to get the ball into the goal. Both accurately describe various key features, but they miss the what and the why of the big picture. — Keith Devlin

Why don't we want our children to learn to do mathematics? Is it that we don't trust them, that we think it's too hard? We seem to feel that they are capable of making arguments and coming to their own conclusions about Napoleon. Why not about triangles? — Paul Lockhart

Learning improves in school environments where there are comprehensive music and arts programs. They increase the ability of young people to do math. They increase the ability of young people to read. And most important of all, they're a lot of fun. — William J. Clinton

That assumption - that labeling and sorting children based on gender doesn't really matter as long as everyone is treated fairly - would hold true if children only paid attention to the more overt, obvious messages we adults send. If children only listened to our purposeful messages, parenting would be easy. Most (but not all) parents and teachers take great effort in treating their children fairly, regardless of gender. Parents don't need to say to their daughters, "You probably won't enjoy math" or say to their sons, "Real boys don't play with dolls." Most parents wouldn't dream of saying these blatant stereotypes to their kids. But research has shown that when we label (and sort and color-code) by gender, children do notice. And it matters - children are learning whether you mean to be teaching them or not. — Christia Spears Brown

What if at school you had to take an art class in which you were only taught how to pain a fence? What if you were never shown the paintings of Leonardo da Vinci and Picasso? Would that make you appreciate art? Would you want to learn more about it? I doubt it ... Of course this sounds ridiculous, but this is how math is taught. — Edward Frenkel

The most common anxiety I hear about learning to program is that people think it requires a lot of math. Actually, most programming doesn't require math beyond basic arithmetic. In fact, being good at programming isn't that different from being good at solving Sudoku puzzles. To solve a Sudoku puzzle, the numbers 1 through 9 must be filled in for each row, each column, and each 3x3 interior square of the full 9x9 board. You find a solution by applying deduction and logic from the starting numbers. For — Albert Sweigart

Teaching is a dialogue, and it is through the process of engaging students that we see ideas taken from the abstract and played out in concrete visual form. Students teach us about creativity through their personal responses to the limits we set, thus proving that reason and intuition are not antithetical. Their works give aesthetic visibility to mathematical ideas. — Martha Boles

I think that great programming is not all that dissimilar to great art. Once you start thinking in concepts of programming it makes you a better person ... as does learning a foreign language, as does learning math, as does learning how to read. — Jack Dorsey

Make your mistakes work for you by learning from them. — Donald Trump

You never know what will spark a student's interest and feed the flame of learning. For me, all subjects are connected: writing, reading, science, art, music, math, social studies. By presenting myself as a writer with wide ranging passions - for astronomy, volcanology, art, music, history, and community service - I hope to inspire not only budding writers but also budding scientists, artists, activists... — Elizabeth Rusch

What makes it possible to learn advanced math fairly quickly is that the human brain is capable of learning to follow a given set of rules without understanding them, and apply them in an intelligent and useful fashion. Given sufficient practice, the brain eventually discovers (or creates) meaning in what began as a meaningless game. — Keith Devlin

Infants and young children are not just sitting twiddling their thumbs, waiting for their parents to teach them to read and do math. They are expending a vast amount of time and effort in exploring and understanding their immediate world. Healthy education supports and encourages this spontaneous learning. — David Elkind

I hate the idea that, when it comes to books and learning, hard is often seen as the opposite of fun. It's strange to me that we should be so quick to give up on a book or a math problem when we are so willing to grapple, for centuries if necessary, with a single level of Angry Birds. — John Green

I exclusively attended public school ... And I can honestly say that on the day of my graduation, if you had given me a pop quiz on history, science, or math, I would have in no way been able to pass it - despite the fact that I completely understood it at the time that it had been 'taught' to me, and had even made a good 'grade' on it. — Jessica Bowman

This is precisely why one significant mistake students sometimes make in learning math and science is jumping into the water before they learn to swim. — Barbara Oakley

I take great solace that Einstein failed math. I failed math. I also failed English and home economics. Einstein was an underachiever. — Danny Bonaduce

The mathophobia endemic in contemporary culture blocks many people from learning anything they recognize as 'math,' although they may have no trouble with mathematical knowledge they do not perceive as such. — Seymour Papert

In a way, math isn't the art of answering mathematical questions, it is the art of asking the right questions, the questions that give you insight, the ones that lead you in interesting directions, the ones that connect with lots of other interesting questions -the ones with beautiful answers. — Gregory Chaitin

With the threat of failure looming, students with the growth mindset set instead mobilized their resources for learning. They told us that they, too, sometimes felt overwhelmed, but their response was to dig in and do what it takes. They were like George Danzig. Who? George Danzig was a graduate student in math at Berkeley. One day, as usual, he rushed in late to his math class and quickly copied the two homework problems from the blackboard. When he later went to do them, he found them very difficult, and it took him several days of hard work to crack them open and solve them. They turned out not to be homework problems at all. They were two famous math problems that had never been solved. — Carol S. Dweck

Most children, even very bright ones, need constant review and practice to truly own a concept in grammar, math or science. In schools today, on paper it may appear that kids are learning skills, but in reality they are only renting them, soon to forget what they've learned over the weekend or summer vacation. — Rafe Esquith

My basic philosophy of teaching was straightforward and deeply personal. I wanted to teach the way I wished that I myself had been taught. Which is to say, I hoped to convey the sheer joy of learning, the thrill of understanding things about the universe. I wanted to pass along to students not only the logic but the beauty of math and science. Furthermore, I wanted to do this in a way that would be equally helpful to kids studying a subject for the first time and for adults who wanted to refresh their knowledge; for students grappling with homework and for older people hoping to keep their minds active and supple. — Salman Khan

Learning through the arts reinforces critical academic skills in reading, language arts and math and provides students with the skills to creatively solve problems. — Michelle Obama

One of the most intriguing ideas in the developmental sciences over the past decades is the phenomenon of the "J-shaped curve."19 While observing children learning to master new skills in dozens of domains (math, writing, the arts), psychologists noticed a surprising pattern: as a learner struggles to master difficult new challenges, there is often an initial decline in skill. Errors are made on tasks that previously seemed easy, and the learner feels more "stupid" than ever before. This is the dip that forms the middle part of the "J." But it turns out that the "stupid mistakes," in retrospect, were nothing more than growth errors. Once the learner gets past the dip, performance rises rapidly to new heights. — William Damon

In all things in this life, we are told "It's okay if you don't make it the first time!", "It's fine if you don't get it right the first time, just try again and again!" We are told this in learning how to ride a bike, in learning how to bake a cake, in solving our math equations ... in everything. Except marriage. Why are we all expected to get such an enormous and weighty thing right, the very first time, and if we don't we're considered as failures? I beg to differ! This is a stupidity! — C. JoyBell C.

Especially girls, but any kids exposed to music programs and arts programs do much better on their tests. They have a better chance of going to college. They can focus better. You know, we're not just automatons learning how to work machines and do engineering and math and science. All of that's great, but you've got to build a whole person. — Bonnie Raitt