The only way to learn mathematics is to do mathematics. — Paul Halmos
It is a well-known experience that the only truly enjoyable and profitable way of studying mathematics is the method of "filling in details" by one's own efforts. — Cornelius Lanczos
Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians. — Edsger Dijkstra
Can you imagine young people nowadays making a study of trigonometry for the fun of it? Well I did. — Clyde Tombaugh
I was fortunate to find an extraordinary mathematics and applied mathematics program in Toronto. — Walter Kohn
For the things of this world cannot be made known without a knowledge of mathematics. — Roger Bacon
The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method. — Paul Halmos
Mathematics, rightly viewed, possesses not only truth, but supreme beauty-a beauty cold and austere ... yet sublimely pure and capable of stern perfection such as only the greatest art can show. — Bertrand Russell
Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty. — Archimedes
Math proficiency is the gateway to a number of incredible careers that students may never have considered. — Danica McKellar
Success is no accident. It is hard work, perseverance, learning, studying, sacrifice and most of all, love of what you are doing.
Student Math Quotes
We are all concerned about the future of American education. But as I tell my students, you do not enter the future - you create the future. The future is created through hard work. — Jaime Escalante
I'd never been a teacher before, and here I was starting my first day with these eager students. There was a shortage of teachers, and they had been without a math teacher for six months. They were so excited to learn math. — Andrew Shue
The President's call for more math and science students is not being heeded by his party's leaders in Congress. They are cutting over $10 billion from student aide while refusing to fully fund No Child Left Behind. Something doesn't add up. — Jim Clyburn
Scientific research and other studies have demonstrated that arts education can enhance American students' math and language skills and improve test scores which in turn increase chances of higher education and good jobs in the future. — Thad Cochran
It is clear that the chief end of mathematical study must be to make the students think. — John Wesley Young
It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts. — Paul Halmos
Brian and I were both science students. You know science sort of math and physics side, you know. — John Deacon
The arts, sciences, humanities, physical education, languages and maths all have equal and central contributions to make to a student's education. — Ken Robinson
I tell students that even if they don't like math right now, they can use math as a brain-sharpening tool - a tool that not only builds the foundation for a great career, but that also builds self-confidence, no matter what they choose to do with their lives. — Danica McKellar
The best math lesson we can teach college students this year is to subtract a tuition increase and benefit from the dividends of higher education. — Jodi Rell
Stupid Math Quotes
Most people are so frightened of the name of mathematics that they are ready, quite unaffectedly, to exaggerate their own mathematical stupidity. — G. H. Hardy
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
There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else - but persistent. — Raoul Bott
Although I am not stupid, the mathematical side of my brain is like dumb notes upon a damaged piano. — Margot Asquith
In math, you could get 100 percent. It was very fair. That's what I liked about math. You could figure it out, and the teacher couldn't have a stupid opinion about it. — Norm MacDonald
Mathematics Student Quotes
Therefore, O students, study mathematics and do not build without foundations. — Leonardo da Vinci
Hilbert once had a student in mathematics who stopped coming to his lectures, and he was finally told the young man had gone off to become a poet. Hilbert is reported to have remarked: 'I never thought he had enough imagination to be a mathematician.' — George Polya
I certainly do care about measuring educational results. But what is an 'educational result?' The twinkling eyes of my students, together with their heartfelt and beautifully expressed mathematical arguments are all the results I need. — Keith Devlin
Actually, most mathematics courses do not teach reasoning of any kind. Students are so baffled by the material that they are obliged to memorize in order to pass examinations. — Morris Kline
The greatest reward for a student is not a good grade. It is the willingness of his teacher to listen to him. — Nikolay Konstantinov
On all levels primary, and secondary and undergraduate - mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man. — Morris Kline
AB=1/4((A+B)^2-(A-B)^2) is an amazing identity, and unfortunately, I have to remind my current students how to prove it. — Ronald Graham
... the student skit at Christmas contained a plaintive line: "Give us Master's exams that our faculty can pass, or give us a faculty that can pass our Master's exams." — Paul Halmos
Many teachers are concerned about the amount of material they must cover in a course. One cynic suggested a formula: since, he said, students on the average remember only about 40% of what you tell them, the thing to do is to cram into each course 250% of what you hope will stick. — Paul Halmos
Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week. — Eric Temple Bell
In school, my favorite subject was math. That's where I learned to count money. — French Montana
I never teach my pupils, I only attempt to provide the conditions in which they can learn. — Albert Einstein
I learned that despite having years and years of experience in math and computer science and so on, I didn't really know how to code until I formed a company. — Balaji Srinivasan
Geometry is the foundation of all painting. — Albrecht Durer
The purpose of computing is insight, not numbers. — Richard Hamming
Obvious is the most dangerous word in mathematics. — Eric Temple Bell
A circle is a round straight line with a hole in the middle. — Mark Twain
Children are coming to school with trauma, everyday trauma, that they live under: violence in the homes, alcoholism in the community, unemployment thats 80 percent, not just during the recession. We need to help treat that before they can even go sit in a class and learn about math. — Denise Juneau
Mighty is geometry; joined with art, resistless. — Euripides
Math Education Quotes
The most important thing we can do is inspire young minds and to advance the kind of science, math and technology education that will help youngsters take us to the next phase of space travel. — John Glenn
Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency. — Rene Descartes
It is a capital mistake to theorize before one has data. Insensibly one begins to twist facts to suit theories, instead of theories to suit facts. — Arthur Conan Doyle
Why are numbers beautiful? It’s like asking why is Beethoven’s Ninth Symphony beautiful.
If you don’t see why, someone can’t tell you. I know numbers are beautiful.
If they aren’t beautiful, nothing is. — Paul Erdos
It is better to solve one problem five different ways, than to solve five problems one way. — George Polya
When you can measure what you are speaking about, and express it in numbers, you know something about it. — Lord Kelvin
The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful. — Aristotle
One's work may be finished someday, but one's education never. — Alexandre Dumas
But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not. — Johann Bernoulli
The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization. — John G. Kemeny
Mathematics And Science Quotes
If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. — John Von Neumann
I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind. — Lord Kelvin
Young man, in mathematics you don't understand things. You just get used to them. — John Von Neumann
I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations. — G. H. Hardy
What affected me most profoundly was the realization that the sciences of cryptography and mathematics are very elegant, pure sciences. I found that the ends for which these pure sciences are used are less elegant. — James Sanborn
Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper. — George Polya
To divide a cube into two other cubes, a fourth power, or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it. — Pierre de Fermat
Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician. — Gottlob Frege
In order to solve this differential equation you look at it until a solution occurs to you. — George Polya
Science and art sometimes can touch one another, like two pieces of the jigsaw puzzle which is our human life, and that contact may be made across the boderline between the two respective domains. — M. C. Escher
Mathematical Problems Quotes
In mathematics, if I find a new approach to a problem, another mathematician might claim that he has a better, more elegant solution. In chess, if anybody claims he is better than I, I can checkmate him. — Emanuel Lasker
I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about. — Andrew Wiles
Bitcoin is a solution out of that problem [money printing]. It’s a system change. — Jeff Booth
Neumann, to a physicist seeking help with a difficult problem: Simple. This can be solved by using the method of characteristics. Physicist: I'm afraid I don't understand the method of characteristics. Neumann: In mathematics you don't understand things. You just get used to them. — John Von Neumann
All the mathematical sciences are founded on relations between physical laws and laws of numbers. — James Clerk Maxwell
Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may be more than half done. — Israel Nathan Herstein
All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers. — James C. Maxwell
A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution. — David Hilbert
Can’t be starting all these problems if you cannot solve them. — Cardi B
If there is a problem you can't solve, then there is an easier problem you can't solve: find it. — George Polya
Math And Science Quotes
There is geometry in the humming of the strings, there is music in the spacing of the spheres. — Pythagoras
A mathematician is a blind man in a dark room looking for a black cat which isn't there. — Charles Darwin
Read the greats in math, science, and philosophy. Ignore your contemporaries and news. Avoid tribal identification. Put truth above social approval. — Naval Ravikant
Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend and create order, beauty and perfection. — Hermann Weyl
If your experiment needs statistics, you ought to have done a better experiment. — Ernest Rutherford
It was just like a digital fixation with cards and math and science and then I started to look at images of great magicians from Houdini down the line. — David Blaine
But mathematics is the sister, as well as the servant, of the arts and is touched with the same madness and genius. — Marston Morse
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories. — Philip J. Davis
In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure. — Hermann Hankel
Mathematical Knowledge adds a manly Vigour to the Mind, frees it from Prejudice, Credulity, and Superstition. — John Arbuthnot
Mathematics By Mathematicians Quotes
If only I had the Theorems! Then I should find the proofs easily enough. — Bernhard Riemann
Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field. — Paul Dirac
Mathematics is as much an aspect of culture as it is a collection of algorithms. — Carl Benjamin Boyer
A mathematician, like a painter or a poet, is a maker of patterns. — G. H. Hardy
The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of mathematicians that spreads understanding and breathes life into ideas both old and new. — William Thurston
Since the mathematicians have invaded the theory of relativity I do not understand it myself any more. — Albert Einstein
The mathematician's patterns, like the painter's or the poet's, must be beautiful. — G. H. Hardy
Logic is the hygiene the mathematician practices to keep his ideas healthy and strong. — Hermann Weyl
[Mathematics] is an independent world created out of pure intelligence. — William Wordsworth
Mathematicians are like lovers. Grant a mathematician the least principle, and he will draw from it a consequence which you must also grant him, and from this consequence another. — Bernard le Bovier de Fontenelle
Math And Music Quotes
Mathematics rightly viewed possesses not only truth but supreme beauty. — Bertrand Russell
Besides language and music, mathematics is one of the primary manifestations of the free creative power of the human mind. — Hermann Weyl
A surprising proportion of mathematicians are accomplished musicians. Is it because music and mathematics share patterns that are beautiful? — Martin Gardner
Music is a more potent instrument than any other for education. — Plato
Math and music are intimately related. Not necessarily on a conscious level, but sure. — Stephen Sondheim
We need more math classes, we need more science. It's the art of math and the art of science that creates all the innovation, and we have a tradition of great arts, great music. — Wynton Marsalis
They look at what's more important, like subjects to help with the SAT's, etc. They miss that music is vital. It offers a break from a stressful day of science and math and it's different. — Justin Guarini
If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics. — George Santayana
No one really buys records anymore. You can look at sales and do that math real quick. Unfortunately, it's fast food in the music industry. People don't ingest full records anymore. — Sayings
You cannot evade quantity. You may fly to poetry and music, and quantity and number will face you in your rhythms and your octaves. — Alfred North Whitehead
It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth. — Jean Piaget
Your most important skill isn’t even what you majored in or even what you studied, it’s just knowing how to learn. If you have a good grasp of mathematics and if you like to read, there’s nothing you can’t learn on your own. — Naval Ravikant
I must study politics and war that my sons may have liberty to study mathematics and philosophy. — John Adams
I have to study politics and war so that my sons can study mathematics, commerce and agriculture, so their sons can study poetry, painting and music. — John Quincy Adams
What makes the theory of relativity so acceptable to physicists in spite of its going against the principle of simplicity is its great mathematical beauty. This is a quality which cannot be defined, any more than beauty in art can be defined, but which people who study mathematics usually have no difficulty in appreciating. — Paul Dirac
Technology is applied science. Science is the study of nature. Mathematics is the language of nature. Philosophy is the root of mathematics. All tightly interrelated. — Naval Ravikant
Study microeconomics, game theory, psychology, persuasion, ethics, mathematics, and computers. — Naval Ravikant
Everything you've learned in school as "obvious" becomes less and less obvious as you begin to study the universe. For example, there are no solids in the universe. There's not even a suggestion of a solid. There are no absolute continuums. There are no surfaces. There are no straight lines. — Richard Buckminster Fuller
In studying the action of the Analytical Engine, we find that the peculiar and independent nature of the considerations which in all mathematical analysis belong to operations, as distinguished from the objects operated upon and from the results of the operations performed upon those objects, is very strikingly defined and separated. — Ada Lovelace
The profound study of nature is the most fertile source of mathematical discovery. — Joseph Fourier
Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions. — Felix Klein
My life may be encapsulated by one of Graham Greene's "entertainments" titles: 'Loser Takes All'. Since I was thrown out of highschool for political reasons, I was free to study on my own and develop my own ways of thinking. — Israel Gelfand
It has never been in my power to study anything, mathematics, ethics, metaphysics, gravitation, thermodynamics, optics, chemistry, comparative anatomy, astronomy, psychology, phonetics, economics, the history of science, whist, men and women, wine, metrology, except as a study of semeiotic . — Charles Sanders Peirce
I told myself, "Lincoln, you can never make a lawyer if you do not understand what demonstrate means." So I left my situation in Springfield, went home to my father's house, and stayed there till I could give any proposition in the six books of Euclid at sight. I then found out what "demonstrate" means, and went back to my law studies. — Abraham Lincoln
The broader the chess player you are, the easier it is to be competitive, and the same seems to be true of mathematics - if you can find links between different branches of mathematics, it can help you resolve problems. In both mathematics and chess, you study existing theory and use that to go forward. — Viswanathan Anand
If you want to be a physicist, you must do three things-first, study mathematics, second, study more mathematics, and third, do the same. — Arnold Sommerfeld
The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics. — Henry David Thoreau
If a man's wit be wandering, let him study the mathematics; for in demonstrations, if his wit be called away never so little, he must begin again. — Francis Bacon
The study of mathematics is apt to commence in disappointment. — Alfred North Whitehead
In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do not suddenly feel that there is an anti-mathematical principle that is luring us into the wrong answers. — Eric Butterworth
I recognize that I have a unique position to be a role model to young girls because I am doing something that they consider glamorous, which is acting, and yet I took a time to really get my education and study mathematics, and I think math is the cat's meow. — Danica McKellar
If a man's wit be wandering, let him study the mathematics. — Francis Bacon
Ada came from Lwów. She was a very good looking girl who was studying mathematics at the University of Geneva. For a few years I had an off-and-on romance with her. — Stanislaw Ulam
It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations. — Felix Klein
I tell them that if they will occupy themselves with the study of mathematics they will find in it the best remedy against the lusts of the flesh. — Thomas Mann
Apart from two periods of intense study, of music between the ages of 12 and 14 and of mathematics between the ages of 14 and 16, I coasted, daydreaming, through most of my school years. — James W. Black
There is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like this, seems to raise them, by successive steps of initiation, to higher and higher states of conscious intellectual being. — James Joseph Sylvester
There still remain three studies suitable for free man. Arithmetic is one of them. — Plato
Mathematics is the study of analogies between analogies. All science is. Scientists want to show that things that don't look alike are really the same. That is one of their innermost Freudian motivations. In fact, that is what we mean by understanding. — Gian-Carlo Rota
Even when I was studying mathematics, physics, and computer science, it always seemed that the problem of consciousness was about the most interesting problem out there for science to come to grips with. — David Chalmers
historical research of the truly scholastic kind is not connected with human beings at all. It is a pure study, like higher mathematics. — C. V. Wedgwood
The grand thing is to be able to reason backwards. — Arthur Conan Doyle
Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does. — Lucio Russo
I cannot recall a period when I did not draw; and at school, the studies that were distasteful to me, mathematics and grammar , were retarded by the indulgence of teachers who were proud of my drawing faculties, and passed over my neglect of uncongenial subjects. — Jacob Epstein
I finally reached the conclusion that mathematics was the study I was best fitted to follow, though I did not clearly see in what way I should turn the subject to account. — Simon Newcomb
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another. — Henri Poincare
The study of mathematics is apt to commence in disappointment... We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of our mental weapons to grasp it. — Alfred North Whitehead
Pure mathematics offers no mercenary inducements to its followers, who is attracted to it by the importance and beauty of the truths in contains; and the complete absence of any material advantage to be gained by means of it, adds perhaps another charm to its study. — James Whitbread Lee Glaisher
A new study found that students who are taught abstinence end up with better math scores. Of course, if you join the math team, the abstinence takes care of itself. — Jimmy Fallon
The mathematician who pursues his studies without clear views of this matter, must often have the uncomfortable feeling that his paper and pencil surpass him in intelligence. — Ernst Mach
The usefulness of mathematics in furthering the sciences is commonly acknowledged: but outside the ranks of the experts there is little inquiry into its nature and purpose as a deliberate human activity. Doubtless this is due to the inevitable drawback that mathematical study is saturated with technicalities from beginning to end. — Herbert Turnbull
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