60+ Brilliant Math Quotes Every Teacher Needs to Read

Written by Jordan Nisbet

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  • Famous math quotes
  • Inspirational math quotes
  • Motivational math quotes
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  • Free downloadable math quote posters

Math is beautiful. But sometimes, this can be hard to see, and even harder to convey to students who don’t —  yet  — share your passion. 

In addition to  math books , using  math quotes  in your daily instruction is one of many ways to get students excited about this oft-dreaded subject.

Over the centuries, some of the world’s brightest minds have shared wise words that remain relevant to this day! We’ve compiled a list of our favorite quotes about math for teachers and students alike!

Inspire, motivate, and humor your students with these math quotes! 

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Albert Einstein. Source:Viva!

Pure mathematics is, in its way, the poetry of logical ideas. — Albert Einstein, German theoretical physicist

Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers. — Shakuntala Devi, Indian writer and mental calculator

Mathematics is the most beautiful and most powerful creation of the human spirit. — Stefan Banach, Polish mathematician

We will always have STEM with us. Some things will drop out of the public eye and go away, but there will always be science, engineering, and technology. And there will always, always be mathematics. — Katherine Johnson, African-American mathematician

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. — Richard Courant, German-American mathematician

As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. — Albert Einstein

What is mathematics? It is only a systematic effort of solving puzzles posed by nature. — Shakuntala Devi

Shakuntala Devi.

Shakuntala Devi.  Source: The Times of India

Mathematics is the music of reason. — James Joseph Sylvester, English mathematician

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country. — David Hilbert, German mathematician

There should be no such thing as boring mathematics. — Edsger W. Dijkstra, Dutch systems scientist

‘Obvious’ is the most dangerous word in mathematics. — Eric Temple Bell, Scottish mathematician

Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty’s sake and pulls it down to earth. — Marston Morse, American mathematician

Mathematics allows for no hypocrisy and no vagueness. — Stendhal (pen name of Marie-Henri Beyle), French writer

I’ve always enjoyed mathematics. It is the most precise and concise way of expressing an idea. — N.R. Narayana Murthy, Indian IT industrialist

It is impossible to be a mathematician without being a poet in soul. — Sofia Kovalevskaya, Russian mathematician

Portrait of Sofia Kovalevskaya.

Sofia Kovalevskaya.  Source: OpenMind

A mathematician who is not also something of a poet will never be a complete mathematician. — Karl Weierstrass, German mathematician

Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them. — Joseph Fourier, French mathematician and physicist

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding. — William Paul Thurston, American mathematician

Somehow it’s okay for people to chuckle about not being good at math. Yet, if I said “I never learned to read,” they’d say I was an illiterate dolt. — Neil deGrasse Tyson, American astrophysicist and author

In mathematics the art of proposing a question must be held of higher value than solving it. — Georg Cantor, German mathematician

It is clear that the chief end of mathematical study must be to make the students think. — John Wesley Young, American mathematician

Go down deep enough into anything and you will find mathematics. — Dean Schlicter

Nature is written in mathematical language. — Galileo Galilei, Italian astronomer, physicist and engineer

Mathematics is a language. — Josiah Willard Gibbs, American scientist

Photo of Marcus du Sautoy.

Marcus du Sautoy.  Source: IMDB

Mathematics has beauty and romance. It’s not a boring place to be, the mathematical world. It’s an extraordinary place; it’s worth spending time there. — Marcus du Sautoy, British mathematician

To me, mathematics, computer science, and the arts are insanely related. They’re all creative expressions. — Sebastian Thrun, German innovator, computer scientist and entrepreneur educator

The essence of mathematics lies in its freedom. — Georg Cantor

Why do children dread mathematics? Because of the wrong approach. Because it is looked at as a subject. — Shakuntala Devi

Many who have had an opportunity of knowing any more about mathematics confuse it with arithmetic, and consider it an arid science. In reality, however, it is a science which requires a great amount of imagination. — Sofia Kovalevskaya

The study of mathematics, like the Nile, begins in minuteness but ends in magnificence. — Charles Caleb Colton, English cleric, writer and collector

Katherine Johnson.

Katherine Johnson. Source:Scientific American

Wherever there is number, there is beauty. — Proclus, Greek philosopher

Life is a math equation. In order to gain the most, you have to know how to convert negatives into positives. — Anonymous

Mathematics may not teach us to add love or subtract hate, but it gives us hope that every problem has a solution. — Anonymous

One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories. — Philip J. Davis, American academic applied mathematician

Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigor should be a signal to the historians that the maps have been made, and the real explorers have gone elsewhere. — W.S. Anglin, Mathematics author

The pure mathematician, like the musician, is a free creator of his world of ordered beauty. — Bertrand Russell, British philosopher

"I have seen the excitement and energy toward math increase in a profound way with Prodigy. The kids are inspired. They work together, they collaborate and help one another." — Sue Tresselt, 3rd Grade Teacher

Andrew Wiles.

Andrew Wiles.  Source: Heidelberg Laureate Forum

Just because we can’t find a solution, it doesn’t mean there isn’t one. — Andrew Wiles, English mathematician

Mathematics is a place where you can do things which you can’t do in the real world. — Marcus du Sautoy

Millions saw the apple fall, but Newton asked why. — Bernard Baruch, American financier, philanthropist and statesman

The definition of a good mathematical problem is the mathematics it generates rather than the problem itself. — Andrew Wiles

If I were again beginning my studies, I would follow the advice of Plato and start with mathematics. — Galileo Galilei

Pure mathematicians just love to try unsolved problems — they love a challenge. — Andrew Wiles

Theodor Seuss Geisel.

Theodor Seuss Geisel (Dr. Seuss).  Source: Wikipedia

I’ve always been interested in using mathematics to make the world work better. — Alvin E. Roth, American academic

I hope that seeing the excitement of solving this problem will make mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future. — Andrew Wiles

The only way to learn mathematics is to do mathematics. — Paul R. Halmos, Hungarian-American mathematician

It’s fine to work on any problem, so long as it generates interesting mathematics along the way — even if you don’t solve it at the end of the day. — Andrew Wiles

You don’t have to be a mathematician to have a feel for numbers. — John Forbes Nash, Jr., American mathematician

Sometimes the questions are complicated and the answers are simple. — Dr. Seuss, American children’s author

The essence of math is not to make simple things complicated, but to make complicated things simple. — Stan Gudder, American mathematician

"I have noticed an increase interest in mathematics from my students with low motivations. 96% of my students love playing Prodigy weekly and sometimes even daily." — Patrick, 5th Grade Teacher and Prodigy Champion

Neil deGrass Tyson.

Neil deGrass Tyson.  Source: Harvard Business Review

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. — John von Neumann, American-hungarian mathematician

Mathematics is a game played according to certain simple rules with meaningless marks on paper. — David Hilbert

Dear Math, please grow up and solve your own problems. I’m tired of solving them for you. — Anonymous

I am still waiting for the day I’ll use mathematics integration in real life. — Derrick Obedgiu

Arithmetic is numbers you squeeze from your head to your hand to your pencil to your paper till you get the answer. — Carl Sandburg, American poet

That awkward moment when you finish a math problem and your answer isn’t even one of the choices. — Ritu Ghatourey, Indian feminist, writer and publisher

Mathematics is like love; a simple idea, but it can get complicated. — Anonymous

If there is a 50-50 chance that something can go wrong, then nine times out of 10 it will. — Paul Harvey, American radio broadcaster

Carl Sandburg.

Carl Sandburg.  Source: Wikimedia Commons

Math is fun. It teaches you life and death information like when you’re cold, you should go to a corner since it’s 90 degrees there. — Anonymous

Pure mathematics is the world’s best game. It is more absorbing than chess, more of a gamble than poker, and lasts longer than Monopoly. It’s free. It can be played anywhere — Archimedes did it in a bathtub. — Richard J. Trudeau, mathematician

Mathematics consists of proving the most obvious thing in the least obvious way. — George Pólya, Hungarian mathematician

In mathematics, you don’t understand things. You just get used to them. — John von Neumann

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, Hungarian-American mathematician

Five out of four people have trouble with fractions. — Steven Wright, American stand-up comedian

Mathematics is a hard thing to love. It has the unfortunate habit, like a rude dog, of turning its most unfavorable side towards you when you first make contact with it. — David Whiteland, English author

How to use these math quotes in your class

Teacher teaching a math class to early grade students.

Sixty-plus quotes is a lot to get through! And like our  teacher quotes  blog post outlines, it can be 1) overwhelming to consider them all at once, and 2) easy to read a quote and become inspired, only to promptly forget about it.

So, how can you internalize your favorite math quotes  and  make them actionable?

  • Write or type your favorite quote(s) about math in your planner, so you look at it regularly.
  • Put it on a cue card or post-it note. Make two copies for your mirror and side table, so you see it when you wake up and before you go to sleep.
  • Brainstorm and reflect on ways you can apply the quote’s meaning in your everyday life.

To take it a step further, how can these math quotes help your students  love learning math ?

  • Have each of your students choose their favorite quote from this list and post them somewhere, like a classroom bulletin board.
  • Personalize assignment or test marking with a quote you feel will resonate with each student.
  • Put the most relevant quotes around your class, to remind students about the beauty of math on a daily basis.

Show me my posters! 👏

We’ve chosen 10 math quotes and turned them into posters you can use to decorate your classroom.  Click here to download your free posters!

On teaching with math quotes

Teaching math is no easy feat. Whether you want to revitalize your passion for math, or seek to motivate and inspire your students, we hope these math quotes find you at the right time. It’s amazing the power a seemingly simple quote can have!

Try Prodigy — a curriculum-aligned, game-based learning platform for math and English that’s easy to use for educators and students alike.

"Student engagement SKYROCKETED and struggling and shy students are more engaged." — John Trankle, 2nd Grade Teacher

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50 Best Math Quotes to Share with Students to Inspire Them

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Math is one of the most intricate and beautiful ways of making sense of the world and is a critical tool that the leaders of tomorrow need to flourish. Here are some of the most brilliant math quotes that teachers can share with their students. 

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50 Amazing Math Quotes to Inspire Students & Teachers

Teacher talking to the class math quotes

“Mathematics is the music of reason.” – James Joseph Sylvester

“Math is the language of the universe. So, the more equations you know, the more you can converse with the cosmos.” – Neil deGrasse Tyson

“Number rules the universe.” – Pythagoras

“To not know math is a severe limitation to understanding the world.” –  Richard P. Feynman

“It is impossible to be a mathematician without being a poet in soul.” Sofia Kovalevskaya

“The pure mathematician, like the musician, is a free creator of his world of ordered beauty.”— Bertrand Russell

“Pure mathematics is, in its way, the poetry of logical ideas.” – Albert Einstein

“Go down deep enough into anything and you will find mathematics.”–  Dean Schlicter

“Mathematics is a place where you can do things which you can’t do in the real world.”–  Marcus du Sautoy

“Mathematics is the most beautiful and most powerful creation of the human spirit.” – Stefan Banach

“The essence of mathematics lies in its freedom.”–  Georg Cantor

“Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers.” – Shakuntala Devi.

“A mathematician who is not also something of a poet will never be a complete mathematician.”— Karl Weierstrass

“No human investigation can be called real science if it cannot be demonstrated mathematically.” – Leonardo Da Vinci

“Wherever there is a number, there is beauty.”— Proclus

“Mathematics allows for no hypocrisy and no vagueness.”— Stendhal

“I’ve always enjoyed mathematics. It is the most precise and concise way of expressing an idea.”— N.R. Narayana Murthy

“Mathematics is the language with which God has written the universe.” – Galileo Galilei

“God used beautiful mathematics in creating the world.” – Paul Dirac

“Mathematics is the science which uses easy words for hard ideas.” – Edward Kasner

“Mathematics is the gate and key to science.” – Roger Bacon

“But in my opinion, all things in nature occur mathematically.” – Rene Decartes

“Nothing takes place in the world whose meaning is not that of some maximum or minimum.” – Leonhard Euler

“The important thing to remember about mathematics is not to be frightened” – Richard Dawkins

“In mathematics, the art of proposing a question must be held of higher value than solving it.” – Georg Cantor

“It is clear that the chief end of mathematical study must be to make the students think.” – John Wesley Young

“The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.” – Charles Caleb Colton

“Mathematics is a place where you can do things which you can’t do in the real world.” – Marcus du Sautoy

“I’ve always been interested in using mathematics to make the world work better.” – Alvin E. Roth

“The only way to learn mathematics is to do mathematics.” – Paul R. Halmos

“Millions saw the apple fall, but Newton asked why.” – Bernard Baruch

“God does arithmetic.” – Karl Friedrich Gauss

“Obvious’ is the most dangerous word in mathematics.” – Eric Temple Bell

“Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them.” – Joseph Fourier

“We will always have STEM with us. Some things will drop out of the public eye and go away, but there will always be science, engineering, and technology. And there will always, always be mathematics.” – Katherine Johnson

“What is mathematics? It is only a systematic effort of solving puzzles posed by nature.” – Shakuntala Devi

“Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.” – David Hilbert

“There should be no such thing as boring mathematics.” – Edsger W. Dijkstra

“Mathematics has beauty and romance. It’s not a boring place to be, the mathematical world. It’s an extraordinary place; it’s worth spending time there.” – Marcus du Sautoy

“If I were beginning my studies, I would follow the advice of Plato and start with mathematics.” – Galileo Galilei

“You don’t have to be a mathematician to have a feel for numbers.” – John Forbes Nash

“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” – John von Neumann

“If there is a 50-50 chance that something can go wrong, then nine times out of 10 it will.” – Paul Harvey

“There is no branch of mathematics, however abstract, which may not someday be applied to phenomena of the real world.” – Nikolai Lobachevsky

“The best teacher is not the one who knows most but the one who is most capable of reducing knowledge to that simple compound of the obvious and wonderful.” – H. L. Mencken

“One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.” – Philip J. Davis

“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” – William Paul Thurston

“You can be creative in anything — in math, science, engineering, philosophy — as much as you can in music or in painting or in dance.” – Ken Robinson

“Out of an infinity of designs a mathematician chooses one pattern for beauty’s sake and pulls it down to earth.” – Marston Morse

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Frequently Asked Questions

Why are math quotes important.

Math quotes inspire you to excel in the classroom when teaching students from different backgrounds.

Who invented mathematics?

Archimedes is widely regarded as the Father of Mathematics.  

What is the importance of math?

Math provides us with a way to incorporate logic into decision-making and provides a rigorous foundation for other subjects.  

What is the best slogan for math?

Math can be beautiful when used to solve big problems.

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25 Powerful, Motivating And Inspirational Math Quotes

inspirational math quotes

Are there any pupils in your class that find math enjoyable? Or, when you tell some of your kids that arithmetic is coming up, do they sigh? These amazing reasons to love math are a great place to start if you need inspiration for your kids. However, teaching math involves inspiration as well, and sharing motivational math quotes with students is one approach to ignite their interest in the subject.

I’ve put together 25 inspirational math quotes because I think math quotations for the classroom are a great approach to encourage and excite students. These quotations can serve as motivation for you or your pupils. Posting the math quotes throughout your classroom will help to create a space that is rich in arithmetic. Or, post them every day on the board and have a conversation about their meaning.

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25 Inspirational Math Quotes

“Do not worry about your difficulties in mathematics. I can assure you mine are still greater.” – Albert Einstein

inspirational math quotes

“The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.” – Charles Caleb Colton

“Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers.” – Shakuntala Devi

inspirational math quotes

“In mathematics the art of proposing a question must be held of higher value than solving it.” – Georg Ferdinand Ludwig Philipp Cantor

“The only way to learn mathematics is to do mathematics.” – Paul Halmos

“Obvious is the most dangerous word in mathematics.” – Eric Temple Bell

“Mathematics is the music of reason.” – James Joseph Sylvester  

“You don’t have to be a mathematician to have a feel for numbers.” – John Forbes Nash, Jr.

“Life is a math equation. In order to gain the most, you have to know how to convert negatives into positives.” – Anonymous

“Arithmetic is being able to count up to twenty without taking off your shoes.” – Mickey Mouse

inspirational math quotes

“It is clear that the chief end of mathematical study must be to make the students think.” – John Wesley Young

“One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.” – Philip J Davis

inspirational math quotes

“Go down deep enough into anything and you will find mathematics.” – Dean Schlicter

“Just because we can’t find a solution it doesn’t mean that there isn’t one.” – Andrew Wiles

inspirational math quotes

“Mathematics is the gate and key to science.” – Roger Bacon

“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” – William Paul Thurston

“There should be no such thing as boring mathematics.” – Edsger Dijkstra

inspirational math quotes

“Nature is written in mathematical language.” – Galileo Galilei

“Mathematics is a language.” – Josiah Willard Gibbs

“Mathematics is, in its way, the poetry of logical ideas.” – Albert Einstein

inspirational math quotes

“Sometimes the questions are complicated and the answers are simple.” – Dr. Seuss

“It’s fine to work on any problem, so long as it generates interesting mathematics along the way – even if you don’t solve it at the end of the day.” – Andrew Wiles

inspirational math quotes

“If you stop at general math, then you will only make general money.” – Snoop Dogg

“Mathematics is the most beautiful and most powerful creation of the human spirit.” – Stefan Banach

“Millions saw the apple fall, but Newton asked why.” – Bernard Baruch

inspirational math quotes

Faqs: Powerful, Motivational, And Inspirational Math Quotes

Why are there motivational quotations about math.

Sometimes people think math is a hard or boring topic. Motivating math quotes can assist individuals in appreciating the elegance, strength, and significance of mathematics. They can inspire people to continue studying and putting in a lot of effort in their arithmetic.

Who uttered these motivational math sayings?

There are many different sources of math quotes, such as mathematicians, scientists, philosophers, and even artists. Among the well-known mathematicians cited in this passage are Shakuntala Devi, Galileo Galilei, and Albert Einstein.

Which themes come across in these quotes?

Numerous quotations highlight the elegance of arithmetic and its capacity to describe the world around us.

The value of persistence: These quotations inspire us to never give up on solving math problems, even when they can be difficult.

The relationship between math and other subjects: Math’s application in science, engineering, and other subjects is frequently highlighted in quotes.

The delight of discovery: Learning math can be exciting and fulfilling, and motivational sayings can help us understand this.

Where can I look up more motivational math sayings?

Inspirational math quotations can be found in a variety of online and physical resources. They are also included in math articles and textbooks.

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25 inspiring quotes about mathematics and its beauty.

  • "Pure mathematics is, in its way, the poetry of logical ideas." - Albert Einstein
  • "Mathematics is the language in which God has written the universe." - Galileo Galilei
  • "Do not worry too much about your difficulty in mathematics, I can assure you that mine are still greater." - Albert Einstein
  • "The essence of mathematics is not to make simple things complicated, but to make complicated things simple." - S. Gudder
  • "Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding." - William Paul Thurston
  • "In mathematics, the art of asking questions is more valuable than solving problems." - Georg Cantor
  • "Pure mathematics is like poetry – a creative activity of the human mind." - Sir Arthur Eddington
  • "Mathematics is the key and door to the sciences." - Galileo Galilei
  • "The only way to learn mathematics is to do mathematics." - Paul Halmos
  • "Mathematics is the most beautiful and most powerful creation of the human spirit." - Stefan Banach
  • "The study of mathematics is like air and water to our technological society, indispensable." - Edward W. Ngai
  • "Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency." - William Whewell
  • "Mathematics is the music of reason." - James Joseph Sylvester
  • "Mathematics, rightly viewed, possesses not only truth, but supreme beauty." - Bertrand Russell
  • "The mathematics is not there till we put it there." - Sir Arthur Eddington
  • "The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry." - Bertrand Russell
  • "Mathematics is the science of patterns, and we study it to learn how to reason about the world." - Keith Devlin
  • "Mathematics is not just about numbers, equations, computations, or algorithms: it is also about understanding." - Richard Hamming
  • "Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers." - Shakuntala Devi
  • "The beauty of mathematics only shows itself to more patient followers." - Maryam Mirzakhani
  • "In mathematics, you don't understand things. You just get used to them." - John von Neumann
  • "Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost." - W. S. Anglin
  • "Mathematics is the study of patterns and relationships, which exist everywhere in the natural and human-made world." - Andrea Mori
  • "Mathematics is the science of the infinite." - Augustin-Louis Cauchy
  • "Mathematics is not a spectator sport." - George Polya

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  • A Massive Collection of Math Quotes to Get You Inspired and Motivated

Motivational quotes are a great way to get excited, get moving, and share your passion. We love math, so our collection focuses on powerful math quotes.

There are so many amazing math mathematicians out there with nuggets of wisdom we can all learn from. Enjoy this curated collection of math quotes, which is updated regularly.

Follow us on Twitter, Instagram , LinkedIn , and Facebook for more fun with math. Please feel free to share these quotes on your social channels, and check back often for more!

math quote

"If there is a 50-50 chance that something can go wrong, then nine times out of 10 it will." - Paul Harvey

math quote

"Mathematics is the supreme judge; from its decisions there is no appeal." - Tobias Dantzig

math quote

"We especially need imagination in science. It is not all mathematics, nor all logic, but it is somewhat beauty and poetry." - Maria Mitchell

math quote

"Sometimes the questions are complicated and the answers are simple." - Dr Seuss

math quote

"One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden." - Steven Strogatz

math quote

"To acquire knowledge, one must study; but to acquire wisdom, one must observe." - Marilyn vos Savant

math quote

"It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment." - Carl Friedrich Gauss

math quote

“The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.” - Henri Poincaré

math quote

“To the wise, life is a problem; to the fool, a solution.” - Marcus Aurelius

math quote

"Mathematics, rightly viewed, possesses not only truth, but supreme beauty." - Bertrand Russell 

math quote

“Math is the language of the universe. So the more equations you know, the more you can converse with the cosmos.” - Neil deGrasse Tyson

math quote

"Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations." - Paul Lockhart

math quote

"We cannot solve our problems with the same thinking we used when we created them.” - Albert Einstein

math quote

"Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost." - W.S. Anglin

math quote

“If you stop at general math, then you will only make general money.” - Snoop Dogg

math quote

"Logic will get you from A to B. Imagination will take you everywhere." - Albert Einstein

math quote

"Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers." - Shakuntala Devi

math quote

“There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.” – Nikolai Lobachevsky

math quote

“God used beautiful mathematics in creating the world.” - Paul Dirac

math quote

"You never fail until you stop trying." - Albert Einstein 

math quote

"In mathematics, you don’t understand things. You just get used to them." - John von Neumann

math quote

“I loved logic, math, computer programming. I loved systems and logic approaches. And so I just figured architecture is this perfect combination.” - Maya Lin

math quote

“The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal.” - William James

math quote

“Nature is an infinite sphere of which the center is everywhere and the circumference nowhere.” - Blaise Pascal

math quote

"The beauty of mathematics only shows itself to more patient followers." - Maryam Mirzakhani

math quote

"You want to know how to rhyme, then learn how to add. It's mathematics." - Mos Def

math quote

“Geometry existed before creation.” - Plato

math quote

"Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection." - Richard Courant 

math quote

“Nothing takes place in the world whose meaning is not that of some maximum or minimum.” - Leonhard Euler

math quote

"It’s not that I’m so smart; it’s just that I stay with problems longer." - Albert Einstein

math quote

"It's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day." - Andrew Wiles

math quote

“Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency.” - René Descartes

math quote

“To ask the right question is harder than to answer it.” - Georg Cantor

math quote

“Mathematics, in general, is fundamentally the science of self-evident things.” - Felix Klein

math quote

“Logic is the anatomy of thought.” - John Locke

math quote

"The definition of a good mathematical problem is the mathematics it generates rather than the problem itself." - Andrew Wiles

math quote

"But in my opinion, all things in nature occur mathematically." - Rene Descartes

math quote

"Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense." - William Thomson

math quote

"Mathematics has beauty and romance. It’s not a boring place to be, the mathematical world. It’s an extraordinary place; it’s worth spending time there." - Marcus du Sautoy

math quote

"Pure mathematics is the world’s best game. It is more absorbing than chess, more of a gamble than poker, and lasts longer than Monopoly. It’s free. It can be played anywhere — Archimedes did it in a bathtub." - Richard J. Trudeau

blog quote

“If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.” - Galileo Galilei

math quote

"Give me a lever long enough and a fulcrum on which to place it, and I shall move the world." - Archimedes

math quote

"The purpose of computing is insight, not numbers." - Richard Hamming

math quote

"Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.” - Marston Morse

math quote

“Film is one of the three universal languages, the other two: mathematics and music.” - Frank Capra

quotes about math problem solving

“Mathematics is a language.” - Josiah Willard Gibbs 

math quote

“It is clear that the chief end of mathematical study must be to make the students think.” – John Wesley Young

math quote

“Mathematics is the science which uses easy words for hard ideas.” – Edward Kasner

math quote

“You can be creative in anything — in math, science, engineering, philosophy — as much as you can in music or in painting or in dance.” – Ken Robinson

math quote

“Math is like going to the gym for your brain. It sharpens your mind.” - Danica McKellar

math quote

“Millions saw the apple fall, but Newton asked why.” – Bernard Baruch

math quote

“It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.” - Eric Temple Bell

math quote

“Mathematics allows for no hypocrisy and no vagueness.” - Stendhal 

math quote

"Mathematics is as much an aspect of culture as it is a collection of algorithms." - Carl Benjamin Boyer

math quote

"Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things." - Isaac Newton

math quote

“Mathematics is on the artistic side, a creation of new rhythms, orders, designs, harmonies, and on the knowledge side, is a systematic study of various rhythms, orders.” - William L. Schaaf

math quote

"I can only play the sport for so long, I have mathematics for the rest of my life." - John Urschel

math quote

"Scientists too seldom stress the enormity of our ignorance." - Vera Rubin

math quote

"You have to spend some energy and effort to see the beauty in math." - Maryam Mirzakhani

math quote

“To me, mathematics, computer science, and the arts are insanely related. They’re all creative expressions.” – Sebastian Thrun

math quote

“One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.” -Philip J. Davis

math quote

“The important thing to remember about mathematics is not to be frightened.” – Richard Dawkins

math quote

“No human investigation can be called real science if it cannot be demonstrated mathematically.” – Leonardo Da Vinci

math quote

“The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.” - Charles Caleb Colton

math quote

"Every new body of discovery is mathematical in form, because there is no other guidance we can have." - Charles Darwin

math quote

"The only way to learn mathematics is to do mathematics." - Paul Halmos

math quote

“Mathematics is the gate and key to science.” - Roger Bacon

math quote

“Math is the only place where truth and beauty mean the same thing.” - Danica McKellar

math quotes

“There will always be science, engineering, and technology. And there will always, always be mathematics.” – Katherine Johnson

math quote

“You don’t have to be a mathematician to have a feel for numbers.” - John Forbes Nash, Jr.

math quote

“Mathematics is the most beautiful and most powerful creation of the human spirit.” - Stefan Banach

math quote

“Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty.” - Deepak Chopra

math quote

“Number rules the universe.” - Pythagoras

math quote

“I’ve always enjoyed mathematics. It is the most precise and concise way of expressing an idea.” -  N.R. Narayana Murthy

math quote

“In mathematics, the art of proposing a question must be held of higher value than solving it.” - Georg Cantor  

math quote

“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” - John von Neumann

math quote

"Just because we can’t find a solution, it doesn’t mean there isn’t one." - Andrew Wiles

math quote

"Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them.” - Joseph Fourier

math quote

"Life is a math equation. In order to gain the most, you have to know how to convert negatives into positives." - Anonymous

math quote

"Mathematics may not teach us to add love or subtract hate, but it gives us hope that every problem has a solution." - Anonymous

math quote

"A mathematician who is not also something of a poet will never be a complete mathematician." - Karl Weierstrass

math quote

"Pure mathematicians just love to try unsolved problems — they love a challenge." - Andrew Wiles

math quote

“The essence of math is not to make simple things complicated, but to make complicated things simple.” - Stan Gudder

math quote

"Wherever there is number, there is beauty." - Proclus

math quote

“Why do children dread mathematics? Because of the wrong approach. Because it is looked at as a subject.” - Shakuntala Devi

math quote

"To not know math is a severe limitation to understanding the world." - Richard P. Feynman

math quote

"What is mathematics? It is only a systematic effort of solving puzzles posed by nature." - Shakuntala Devi

math quote

“I’ve always been interested in using mathematics to make the world work better.” - Alvin E. Roth

math quote

"The essence of mathematics lies in its freedom." - Georg Cantor

math quote

“Nature is written in mathematical language.” - Galileo Galilei

math quote

“‘Obvious’ is the most dangerous word in mathematics.” - Eric Temple Bell

math quote

“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” - William Paul Thurston

math quote

“Mathematics is the music of reason.” - James Joseph Sylvester

math quote

“There should be no such thing as boring mathematics.” - Edsger Dijkstra

math quote

“It is impossible to be a mathematician without being a poet in soul.” - Sofia Kovalevskaya

math quote

“Go down deep enough into anything and you will find mathematics.” - Dean Schlicter

math quote

"Life is good for only two things, discovering mathematics and teaching mathematics." - Simeon Poisson

math quote

“All systems operate optimally. You just have to figure out what they are optimizing over.” - Henry Pollak

math quote

"Mathematics is a place where you can do things which you can’t do in the real world." - Marcus du Sautoy

quotes about math problem solving

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20 of The Best Inspirational Math Quotes

By Med Kharbach, PhD | Last Update: May 18, 2024

Inspirational math quotes are the topic of our post today. I scoured the web and curated for you these wonderful math quotes to spark a love and appreciation of math among our kids and students. These little nuggets of wisdom capture so much of what I love about the world of mathematics and its transformative power in education. They encapsulate a broad range of feelings, attitudes, and deep insights about this often misunderstood subject.

Inspirational Math Quotes

Here are some inspirational math quotes to share with your kids and students:

“No human investigation can be called real science if it cannot be demonstrated mathematically.” – Leonardo Da Vinci

Inspirational Math Quotes

“The important thing to remember about mathematics is not to be frightened” – Richard Dawkins

“If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.” — Galileo Galilei

Inspirational Math Quotes

“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.” – William Paul Thurston

“Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers.” — Shakuntala Devi

Related: Friendship Quotes for Kids

“Pure mathematics is, in its way, the poetry of logical ideas.” – Albert Einstein

Inspirational Math Quotes

“Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.” — David Hilbert

“Just because we can’t find a solution, it doesn’t mean there isn’t one.” — Andrew Wiles

Inspirational Math Quotes

“Math is the language of the universe. So, the more equations you know, the more you can converse with the cosmos.” – Neil deGrasse Tyson

“You don’t have to be a mathematician to have a feel for numbers.” — John Forbes Nash

Inspirational Math Quotes

“Mathematics may not teach us to add love or subtract hate, but it gives us hope that every problem has a solution.” — Anonymous

“The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.” – Charles Caleb Colton

Inspirational Math Quotes

“Mathematics is the language with which God has written the universe.” – Galileo Galilei

“The only way to learn mathematics is to do mathematics.” – Paul R. Halmos

Inspirational Math Quotes

“As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.” — Albert Einstein

“The pure mathematician, like the musician, is a free creator of his world of ordered beauty.” — Bertrand Russell

Inspirational Math Quotes

“To not know math is a severe limitation to understanding the world.” –  Richard P. Feynman

“Mathematics is the music of reason.” – James Joseph Sylvester

Inspirational Math Quotes

“Mathematics is a place where you can do things which you can’t do in the real world.”–  Marcus du Sautoy

Wherever there is number, there is beauty. — Proclus,

Inspirational Math Quotes

“What is mathematics? It is only a systematic effort of solving puzzles posed by nature.” – Shakuntala Devi

Final thoughts

In wrapping this up, I can’t help but reflect on the sheer diversity of viewpoints these quotes present—each offering a unique lens to appreciate the richness of mathematics. Whether it’s Da Vinci connecting math to the essence of scientific inquiry, or Shakuntala Devi reminding us that our world is shaped by numbers, these sayings are far more than just strings of words. They are affirmations, challenges, and even philosophical stances on what math can mean in our lives and in our classrooms.

The beauty of these quotes is that they touch on so many facets of education—from the emotional to the practical, from the theoretical to the applied. They’re not just inspirational; they’re instructive. They remind us, as educators, to approach teaching math with nuance, respect, and a keen awareness of its potential to shape minds and change lives.

If you take one thing away from this, let it be this: Math is not merely a set of formulas and equations to be memorized and regurgitated. It’s a subject brimming with the potential for lifelong learning and understanding. And in a world where technological advances are increasingly driven by mathematical algorithms and data analysis, the importance of having a solid grasp of this ‘ universal language ‘ cannot be overstated.

As for me, I think I’ll continue to dwell on that Einstein gem: “Pure mathematics is, in its way, the poetry of logical ideas.” It’s a reminder that math isn’t just logical; it’s also incredibly creative, an art form in its own right. And just like any art form, it holds the power to inspire, to challenge, and to transform.

quotes about math problem solving

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Meet Med Kharbach, PhD

Dr. Med Kharbach is an influential voice in the global educational technology landscape, with an extensive background in educational studies and a decade-long experience as a K-12 teacher. Holding a Ph.D. from Mount Saint Vincent University in Halifax, Canada, he brings a unique perspective to the educational world by integrating his profound academic knowledge with his hands-on teaching experience. Dr. Kharbach's academic pursuits encompass curriculum studies, discourse analysis, language learning/teaching, language and identity, emerging literacies, educational technology, and research methodologies. His work has been presented at numerous national and international conferences and published in various esteemed academic journals.

quotes about math problem solving

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60 Funny and Inspirational Math Quotes for Students and Teachers

60 Funny and Inspirational Math Quotes for Students and Teachers

Funny and inspirational math quotes for teachers and students. including math quotes from albert einstein and other famous mathematicians..

As a student, you either love or hate math. As a teacher, there’s probably nothing you love more.

Whichever the case, having some math knowledge is always useful. If you think about it, most of us use it on a daily basis -- whether we’re measuring something, sorting, noticing patterns, making comparisons or recognizing shapes. Of course, we don’t necessarily use complex formulas, but we do need some basic math skills for all these activities.

When it comes to children, it is crucial to teach them about the importance of problem solving. We all know that for some kids there are few words scarier than “math”. But we can influence their thinking by incorporating math in enjoyable activities and by having a positive attitude towards it. There are so many educational games and cool facts that can make this discipline fun.

Math is neither dull nor uncool. There are enough examples of successful people that have proven that. If you’re still not convinced, take a look at the following quotes and saying that we’ve handpicked for you.

quotes about math problem solving

Here are 60 Math Quotes for Students, Teachers and Classrooms from Albert Einstein and other Famous Mathematicians

Math quotes for teachers.

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
The best teacher is not the one who knows most but the one who is most capable of reducing knowledge to that simple compound of the obvious and wonderful. H. L. MENCKEN
It is the supreme art of the teacher to awaken joy in creative expression and knowledge. ALBERT EINSTEIN
Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems. CARL POMERANCE
The curriculum is so much necessary raw material, but warmth is the vital element for the growing plant and for the soul of the child. CARL JUNG
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories. PHILIP J. DAVIS
All mathematicians share a sense of amazement over the infinite depth and mysterious beauty and usefulness of mathematics. MARTIN GARDNER
It is clear that the chief end of mathematical study must be to make the students think. JOHN WESLEY YOUNG

Math quotes for students

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding. WILLIAM PAUL THURSTON
There should be no such thing as boring mathematics.  EDSGER DIJKSTRA
Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers.  SHAKUNTALA DEVI
The only way to learn mathematics is to do mathematics.  PAUL HALMOS
There’s no reason to stereotype yourself. Doing math is like going to the gym – it’s a workout for your brain and it makes you smarter. DANICA MCKELLAR
Do not worry too much about your difficulty in mathematics, I can assure you that mine are still greater. ALBERT EINSTEIN
You can be creative in anything -- in math, science, engineering, philosophy -- as much as you can in music or in painting or in dance. KEN ROBINSON ( more Ken Robinson quotes )

Math quotes about love

The hardest arithmetic to master is that which enables us to count our blessings. ERIC HOFFER
The only reason I don’t know more about love is because there just isn’t more to know. In fact, I’ve reduced love to a mathematical formula: Hdgk(X)=H2k(X,Q)∩Hk,k(X). Actually, that’s not right. That’s the statement piece of the Hodge conjecture, but I’m sure you already knew that.    JAROD KINTZ
Mathematics is like love; a simple idea, but it can get complicated. GEORGE POLYA
Mathematics may not teach us to add love or subtract hate, but it gives us hope that every problem has a solution. Unknown
Mathematics is a hard thing to love. It has the unfortunate habit, like a rude dog, of turning its most unfavorable side towards you when you first make contact with it. DAVID WHITELAND

Math quotes for life

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. JOHN VON NEUMANN
Life is a math equation. In order to gain the most, you have to know how to convert negatives into positives. Unknown
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. RICHARD COURANT
Wherever there is number, there is beauty. PROCLUS
A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The larger the denominator, the smaller the fraction. LEO TOLSTOY
Mathematics, even in its present and most abstract state, is not detached from life. It is just the ideal handling of the problems of life. CASSIUS JACKSON KEYSER 
Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country. DAVID HILBERT
Out of an infinity of designs a mathematician chooses one pattern for beauty’s sake and pulls it down to earth. MARSTON MORSE
Mathematics allows for no hypocrisy and no vagueness. STENDHAL 
Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them. JOSEPH FOURIER

Math quotes by Albert Einstein

Pure mathematics is, in its way, the poetry of logical ideas. ALBERT EINSTEIN
As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. ALBERT EINSTEIN
Not everything that counts can be counted. Not everything that can be counted counts. ALBERT EINSTEIN
How can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects of reality? ALBERT EINSTEIN
But the creative principle resides in mathematics. In a certain sense, therefore, I hold true that pure thought can grasp reality, as the ancients dreamed. ALBERT EINSTEIN

Math quotes from famous mathematicians

Mathematics is the most beautiful and most powerful creation of the human spirit. STEFAN BANACH
What is mathematics? It is only a systematic effort of solving puzzles posed by nature. SHAKUNTALA DEVI
Mathematics is the supreme judge; from its decisions there is no appeal. TOBIAS DANTZIG
The laws of nature are but the mathematical thoughts of God. EUCLID
Mathematics is the music of reason. JAMES JOSEPH SYLVESTER
Mathemathics is the queen of the science. CARL FRIEDRICH GAUSS
A mathematician who is not also something of a poet will never be a complete mathematician. KARL WEIERSTRASS
The essence of mathematics is not to make simple things complicated, but to make complicated things simple. STAN GUDDER
Geometry is knowledge of the eternally existent. PYTHAGORAS
Mathematics is concerned only with the enumeration and comparison of relations. CARL FRIEDRICH GAUSS
Mathematics is the science of what is clear by itself. CARL JACOBI
Nature is written in mathematical language. GALILEO GALILEI
Just because we can’t find a solution, it doesn’t mean there isn’t one. ANDREW WILES
You don’t have to be a mathematician to have a feel for numbers. JOHN FORBES NASH

Funny math quotes

Somehow it’s o.k. for people to chuckle about not being good at math. Yet if I said ‘I never learned to read,” they’d say I was an illiterate dolt. NEIL DEGRASSE TYSON
Only two things are infinite, the universe and human stupidity, and I'm not sure about the former. ALBERT EINSTEIN
If you stop at general math, then you will only make general money.  SNOOP DOGG
A mathematician is a blind man in a dark room looking for a black cat which isn't there. CHARLES DARWIN
Math is fun. It teaches you life and death information like when you’re cold, you should go to a corner since it’s 90 degrees there. Unknown
Dear Math, I'm sick and tired of finding your X. Just accept the fact that she's gone. UNKNOWN
In the fall of 1972, President Nixon announced that the rate increase of inflation was decreasing. This was the first time a president used the third derivative to advance his case for re-election. HUGO ROSSI
Mathematics is a game played according to certain simple rules with meaningless marks on paper. DAVID HILBERT
That awkward moment when you finish a math problem and your answer isn’t even one of the choices. RITU GHATOUREY
If there is a 50-50 chance that something can go wrong, then nine times out of 10 it will. PAUL HARVEY

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Forced to feel ashamed for her weight and appearance, Kate Winslet struggled with her body image for years. The media loved to tease her for being “the fat girl,” but there was ONE PERSON who saw the real her. What did Leo see in Kate? And what important message does Kate have for young women everywhere?

Kate Winslet and Leonardo DiCaprio's True Friendship

Kate Winslet has not always been sure of herself. "I was always comparing myself to others. You see I've been bullied at school, they call me blubber, they teased me for wanting to act."

While it's nearly impossible to think of the gorgeous and talented Winslet as anything other than a force to be reckoned with, years of being teased and the media's love for taking shots at her weight did their damage.

"I was sort of made to feel ashamed of myself, my appearance."

But when co-star and friend, Leonardo DiCaprio stepped in, he had only a few words of encouragement that helped to shape a new outlook for the Titanic actress. An outlook that she was able to share with other women, including her young daughter , Mia.

"You know, happiness it isn't a search for, you know ,facial physical perfection. You know, it comes from inside."

Mom Asks Woman To Give Up Her First-Class Seat For Her Child - People Are Applauding Her Response

Woman Refuses to Give Her First Class Seat to Mom and Child

Flying first-class is a luxury most of us will never get to experience. So when a woman's boyfriend surprised her with a ticket on a long-haul flight she was thrilled.

Legroom for days, next-level service, snuggling under a complimentary duvet with a down pillow on your LIE-FLAT seat, AND sipping champagne? Seriously, what's not to love?

Needless to say, it didn't disappoint. What did disappoint, however, was a mother and plane staff asking the woman to switch seats with a child in ECONOMY shortly before take-off. She politely declined. But now she's wondering, AITAH? The internet has thoughts.

Woman Takes To Reddit After Refusing to Give Up Seat to a Child

In a post on Reddit's popular AITAH (am I the a--hole) forum, the user, 21, shared that her boyfriend, 27, had been "doing well in his career" and surprised her with first-class tickets on two connecting 12-hour flights.

It was a dream come true for the woman who "grew up lower middle class" and "had never ever flown higher than the cheapest seats on a plane before."

However, her dream quickly turned into a nightmare when a flight attendant put her in the highly awkward position of requesting she switch to economy class so a mother and child could sit together.

"About 20 minutes before takeoff, a flight attendant approached me with a woman and a young kid (maybe around 6 years old)," the Redditor wrote.

"The woman explained that she had booked a first-class ticket for herself and her son, but due to a booking error, he ended up in economy. She asked if I would be willing to switch seats with her son so he could experience first class as well."

She "politely declined" the request explaining that it was a gift from her boyfriend and her first time in first class and she really wanted to experience it.

"The woman seemed pretty upset and tried to argue that her son would appreciate it more than me, and that it was unfair because I didn't even pay for the ticket myself," she wrote, adding, "The flight attendant seemed to be on the woman's side, subtly implying that I should consider being more understanding."

After an uncomfortable minute or so, the woman's boyfriend came to her defense, telling the flight attendant that "he had bought the tickets, that he was a platinum member of the airline, and that he tends to book all of his company's business trip flights with the airline, and if she booted me to the economy, he would take his business elsewhere."

Eventually, the mother and son "went back to business class." But it was too late, the magic was lost. The Redditor claimed that for the duration of the flight, she could "feel the flight attendant glaring at me every time she passed by."

Response To The Reddit Post

Despite her boyfriend's reassurance that she "did nothing wrong" and "it was disrespectful for her to even ask" for her seat in the first place, the woman still couldn't shake it off.

It didn't help that some of her friends questioned her choice "saying that it would have been the kind thing to do." Hence, going to the masses for popular opinion. The consensus was overwhelmingly in her favor.

" Nta. The mom can sit in the back and her kid can sit upfront. Problem solved. No one should ever ever be allowed to ask to switch seats."

"NTA?? I have no idea why they were so adamant about you moving, it was not YOUR fault that they had a BOOKING ERROR. Your boyfriend paid for that service for you to enjoy and you have every right to. That woman did not pay for your seat so if she has an issue, she needs to take it up to the airline instead of trying to guilt trip you into giving up your seat for a kid that is not your issue."

"NTA...I don't believe for one second there was a booking error. She was trying to scam a free 1st class flight. Also if it was so important for her kid to experience 1st class, she could switch seats with him."

"NTA. The flight attendant had no right insisting that you should switch seats if you don’t want to. They could have picked anyone else in first class to request a switch for, but they chose you. Why? Because you’re young and could be intimidated into doing it? Clearly not because you were traveling alone because you weren’t. I would have told them no too. That’s a good boyfriend you have there."

And this brings up an interesting point. According to the OP (original poster), there were eight seats in first class. Besides the woman and her boyfriend, there were "three guys in suits," "an older, married couple," and the mother. So why was the young woman targeted?

The Importance of Advocating For Yourself

If there was, in fact, a booking error it should have been the airline's responsibility to handle it. It should not have been placed on a fellow passenger to rectify the situation and she shouldn't have been made to feel guilty about saying no.

No one likes being put in the position of the "bad guy." But as popular opinion proves, standing up for yourself, especially in a situation where you have rightfully earned a privilege doesn't make you a bad guy. It makes you someone who understands that you are entitled to what you paid for and personal boundaries are a good thing.

The woman's experience serves as a good reminder that while kindness and empathy are vital, so too are personal rights.

*Featured image contains photos by RDNE Stock project and Oleksandr P

Desperate Man Needs to Pay Rent - Decides to Give His Money to a Stranger Instead

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Miss Kansas Publicly Calls Out Her Abuser In The Audience

25-year-old Alexis Smith was officially crowned Miss Kansas earlier this month. She beat out 25 contestants to become the third Black woman to ever win the title.

And while these accomplishments are to be admired, it's her empowering message to her abusive ex who had the gall to sit in the audience that makes her the real winner.

Beauty Pageant Participant Takes Down Her Abuser In Epic On-Stage Declaration

As a victim of domestic abuse, Alexis knows first-hand the devastating impact it can have on someone's life. Too often shrouded in secrecy and shame, the pageant contestant decided to use her platform to bring awareness to domestic violence.

Dubbing it her "Reclaimed Respect Initiative," she spoke about it during the interview phase of the competition.

It didn't go down as she expected.

Because as it turns out, the literal face of her trauma was sitting in the audience, obviously trying to intimidate her and cow her into silence.

But instead of letting her abusive ex silence her, she spoke out. And in doing so, reclaimed her voice and power in an incredible display of courage that has the world applauding.

"My vision as the next Miss Kansas is to eliminate unhealthy and abusive relationships," Smith boldly declared.

"Matter of fact, some of you out in this audience saw me very emotional because my abuser is here today, but that's not going to stop me from being on this Miss Kansas stage and from representing as the next Miss Kansas because I and my community deserve healthy relationships."

Not only did the cardiothoracic ICU nurse NOT let it stop her, but she WON! And she will be representing the sunflower state at next year's Miss America pageant.

Literal QUEEN.

Her Empowering Message Goes Viral

@lexlex_smith Respect Reclaimed is about reclaiming your power and standing firmly in it. On the night of Miss Kansas, my journey took an unexpected turn when someone I have been healing from tried to disrupt my peace. Instead of falling into silence, I chose to live out my vision for a better world. I took back my power—not just for myself, but for my dreams and everyone watching and listening. This isn't about shunning others; it's about turning our pain into purpose and channeling it in a way that unifies and uplifts. I'm ready to use my story, tools, and resources to end unhealthy relationships in all forms. My voice and advocacy will empower everyone to reclaim their own power in their own unique way. I might be small in stature, but I stand tall in strength, purpose, and power with hopes of inspiring others to do the same. #fyp #abuse #miss #misskansas #missamerica #pageant #awareness #me #relationship #respect #tiktok

Smith shared a video clip of her message across her social media channels where it has gone viral, gaining widespread support.

"On the night of Miss Kansas, my journey took an unexpected turn when someone I have been healing from tried to disrupt my peace," Smith wrote in the caption.

"Instead of falling into silence, I chose to live out my vision for a better world. I took back my power — not just for myself, but for my dreams and everyone watching and listening."

And while she didn't directly name her abuser, she did provide some insight into who it is in an interview with CBS affiliate, KSNW .

“My family, every single woman in my family, was impacted by domestic violence,” she said. “At the age of 14, I got in my first relationship, but it was also an abusive relationship that I was in until about 2018, 2019."

"It’s something that I’m still experiencing and dealing with today.”

Her journey with domestic violence has run the full gamut; from being a bystander, a victim, a survivor, and now an advocate who is "ready to use my story, tools, and resources to end unhealthy relationships in all forms."

"This isn't about shunning others; it's about turning our pain into purpose and channeling it in a way that unifies and uplifts," Smith continued. "I might be small in stature, but I stand tall in strength, purpose, and power with hopes of inspiring others to do the same."

She already is.

" As a survivor, this moved me. thank you for using your voice. you just gave strength to many you'll never meet 💜 ," wrote one commenter.

"YAS GIRL! As a fellow survivor, you are an inspiration and I’m so proud of you for using your voice and showing your strength," wrote another.

A third shared, "As a victim of domestic violence I applaud you for speaking out!! I watched this 10 times!! I'm still getting bullied by his parents even with a no contact order. I plan on helping women like us as well."

The Importance of Speaking Out Against Abuse

Domestic violence is shockingly prevalent. According to a report by the CDC , "about 41% of women and 26% of men experienced contact sexual violence, physical violence, or stalking by an intimate partner during their lifetime and reported a related impact."

Additionally, "over 61 million women and 53 million men have experienced psychological aggression by an intimate partner in their lifetime."

Speaking out against domestic abuse is a critical step in breaking the cycle of violence. By giving voice to their experiences, survivors not only reclaim their own power but also pave the way for other victims to stand up and do the same.

If you need help or need help supporting someone else, call the National Domestic Violence Hotline at 1-800-799-SAFE (7233) or text START to 88788 or chat online at TheHotline.org.

Copyright © 2024 Goalcast

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Math Quotes Curator

Copied the quote:, math quotes + their meanings/explanations.

"Math Quotes" refers to a collection of quotes that revolve around the subject of mathematics. These quotes are often attributed to mathematicians, scientists, philosophers, and other notable individuals who have recognized the unique beauty and importance of mathematics in our world.

These quotes not only capture the essence of mathematical concepts but also offer insights into the creative and logical thinking required to understand and appreciate the intricacies of numbers, patterns, and equations. "Math Quotes" serves as a source of inspiration and motivation for both students and enthusiasts alike, reminding us of the power and limitless possibilities that lie within the realm of mathematics.

Below are various math quotes with their meanings/explanations;

Math Quotes + Their Meanings/Explanations

“Mathematics is the music of reason.”  – James Joseph Sylvester

Mathematics is the music of reason. It is the foundation of mathematics and its ability to describe the natural world. Mathematics enables us to understand problems and their solutions, and to build models of reality.

“Go down deep enough into anything and you will find mathematics.” - Dean Schlicter

Mathematics is one of the oldest and most well-known sciences. It was first developed in India by mathematicians and scientists who were trying to understand nature. Mathematics has been used to calculate things like the motion of planets, the patterns on paper in geometry, and more. It can also be used to solve problems in science and engineering.

“Dear Math, please grow up and solve your own problems. I’m tired of solving them for you.” - Anonymous

There are times when you need to solve your own problems. Sometimes, you don't have any help from your teacher or friends.

“The only way to learn mathematics is to do mathematics.”  – Paul Halmos

Mathematics is one of the most important skills a person can have. It is essential for understanding complex problems and making mathematical predictions. However, learning mathematics can be difficult, especially for those who have no prior experience. There are several ways to learn mathematics, but the best way to learn it is through doing it. This will help you develop your problem-solving skills and confidence in your knowledge.

“Mathematics consists of proving the most obvious thing in the least obvious way.” - George Póly

One of the most important skills in mathematics is the ability to see things in a different way. This is what makes math so amazing and useful. mathematicians are able to prove the most obvious things in a way that is least mysterious. For example, many people believe that adding two numbers is just an addition. But by looking at it another way, mathematicians can prove that adding two numbers is actually an addition of squares.

“Mathematics expresses values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty.”  – Deepak Chopra

Mathematics is an important tool in many ways. It has been used to express values that reflect the cosmos, including orderliness, balance, harmony, logic, and abstract beauty. Mathematics has been around for centuries and it is a valuable tool for studying the world around us.

“Mathematics is a hard thing to love. It has the unfortunate habit, like a rude dog, of turning its most unfavorable side towards you when you first make contact with it.” - David Whiteland

Mathematics is a hard thing to love. It can be difficult to get involved in the subject, and often seems like it doesn't sympathize with humans very much. But despite its many flaws, there is something special about Mathematics that makes it one of the most beloved disciplines in the world.

“The longer mathematics lives the more abstract – and therefore, possibly also the more practical – it becomes.”  – Eric Temple Bell

Mathematics is a complex and ever-changing field, with ever-more abstract results that can be difficult to impress upon those who are not initiated into its depths. On the other hand, this complexity and abstraction may also be what makes it so powerful, as it can be used to solve some of the world's most pressing problems.

Math Quotes + Their Meanings/Explanations

“Film is one of the three universal languages, the other two: mathematics and music.”  – Frank Capra   

Film is one of the three universal languages. It is composed of images and stories that are often shared between people from all over the world. The other two are mathematics and music. Film has been around since the beginning of time, and it has a deep impact on humanity.

“To me, mathematics, computer science, and the arts are insanely related. They’re all creative expressions.”  – Sebastian Thrun

Mathematics, computer science, and the arts are related because they all deal with creative expressions. Mathematics is used to solve equations and to predict future outcomes. Computer science helps us design and create algorithms. The arts involve creating works of art, which can be seen as a way to express ideas or to communicate with others.

“We will always have STEM with us. Some things will drop out of the public eye and go away, but there will always be science, engineering, and technology. And there will always, always be mathematics.” - Katherine Johnson

When it comes to STEM, there is no stopping the trend. With so many fields in which STEM can be used, it’s hard to know where to start. However, one of the most important things to keep in mind when looking at STEM is that everything will eventually go away – but there will always be science, engineering, and technology. So long as we continue to invest in these fields, we can expect to see continued progress and innovation in these areas.

“Arithmetic is being able to count up to twenty without taking off your shoes.”  – Mickey Mouse

Arithmetic is being able to count up to twenty without taking off your shoes. This skill is important in many aspects of life, such as in school, during banking transactions, and at work. Arithmetic also helps with calculations in the sciences and other fields.

“It is impossible to be a mathematician without being a poet in soul.”  Sofia Kovalevskaya

Mathematics is a branch of science that investigates the structure and behavior of matter. Poetry is an art form that deals with emotion and the human experience. It is impossible to be a mathematician without being a poet in soul. Mathematics is a tool that can help us understand complex problems, but poetry can help us see the beauty in everyday life.

“A mathematician is a blind man in a dark room looking for a black cat which isn’t there.”  – Charles Darwin

Mathematicians are people who love to solve problems and make beautiful things. They often use their mathematics to help us understand the world around us. One of the most famous mathematicians is blind, but he does not let his blindness stop him from doing great work. In fact, he has helped many people in his field by providing them with the insights they need to continue making progress.

“The pure mathematician, like the musician, is a free creator of his world of ordered beauty.” - Bertrand Russell

The mathematician is a free creator of his world of ordered beauty. He creates mathematical models that predict the future, and uses these models to create insights into physical reality. In doing so, he discovers laws that govern the behavior of particles and universes, and he uses these insights to create beautiful designs in his work.

“Mathematics is, in its way, the poetry of logical ideas.”  – Albert Einstein

Mathematics is a branch of mathematics that studies the structure and behavior of matter. In particular, it is concerned with the existence and properties of mathematical objects—such as solutions to equations, logarithms, and polynomials. This application of mathematics has led to some of the most important scientific advances in history, including calculus, differential calculus, and functional analysis.

Math Quotes + Their Meanings/Explanations

“Algebraic symbols are used when you do not know what you are talking about.”  – Philippe Schnoebelen

Algebraic symbols are used when you do not know what you are talking about. For example, in algebra, you use the symbol for a number, like 3, to represent that number. Algebraic symbols represent real numbers and can be used to solve equations.

“I’ve always been interested in using mathematics to make the world work better.” - Alvin E. Roth

Mathematics has always been a powerful tool for making the world work better. It has helped us understand problems more easily and has allowed us to create more efficient systems.

“Mathematics is the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs, a mathematician chooses one pattern for beauty’s sake and pulls it down to earth.” - Marston Morse

Mathematics is the result of mysterious powers that no one understands. To anyone who has ever studied it, it seems to be an arcane and unapproachable way of solving problems. But to those who have paid attention, there is something special about mathematics that makes it so mysteriously beautiful. It is the result of a complex network of interconnected patterns that can be unconsciously recognized as beautiful. This recognition allows mathematicians to create elegant and complex designs that are impossible to even imagine.

“Life is good for only two things, discovering mathematics and teaching mathematics.”  – Simeon Denis Poisson

Mathematics is a powerful tool that can help solve problems and make sense of the world. It is also a fun and stimulating subject to learn. Teaching mathematics is an important part of a teacher’s job and can be rewarding.

“If you stop at general math, then you will only make general money.”  –Snoop Dogg

If you only learn the basics of math, you will only make general money. This is because there are so many other skills that are needed to make a living in the economy. If you don't know how to do basic math, you won't be able to make a good living in the workforce.

“I’ve always enjoyed mathematics. It is the most precise and concise way of expressing an idea.” - N.R. Narayana Murthy

Mathematics is a branch of mathematics that deals with the accuracy and precision of mathematical expressions. It is often used to describe the natural world, such as the laws of gravity. Mathematics has been around for centuries, and it has had an impact on many fields of study.

“Mathematics is the language with which God has written the universe.”  – Galileo Galilei

Mathematics is the language that God has used to create and maintain the universe. It is a complex and powerful system that can explain everything from the origins of the universe to the behavior of particles in a black hole. With its power, mathematics has been used by scientists and philosophers for centuries to explore the natural world and create models of new phenomena.

“Mathematics may not teach us to add love or subtract hate, but it gives us hope that every problem has a solution.”  –Anonymous

Mathematics may not teach us to add love or subtract hate, but it gives us hope that every problem has a solution. While no single discipline can be called the root of all evil, mathematics may offer a lens through which we can better see the world around us. By understanding how numbers work, we can better solve problems and achieve our goals.

“Sometimes the questions are complicated and the answers are simple.” - Dr. Seuss

In the world of tax law, there are a variety of different questions that can be difficult to answer and simple answers that can be quite different. This is especially true when it comes to estate planning, which is one of the most important aspects of tax law. Estate planning allows individuals to plan for their future by creating a document that outlines their preferences for how their money will be used.

“Somehow it’s o.k. for people to chuckle about not being good at math. Yet if I said ‘I never learned to read,”   they’d say I was an illiterate dolt.”  –Neil Degrasse Tyson

There are people who find it okay to not be good at math, while others would say that such a lack of intelligence is a disgrace. Regardless, the fact is that there are some people who do well in school and others who don't. It's just one part of their life and it's not necessary to have perfect SAT scores or know how to code to be successful in life.

“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” - John von Neumann

Mathematics is one of the most complex subjects that people have. It is because of this complexity that mathematicians are able to make so much progress in their field. In spite of this, people still do not realize how complicated life is. Mathematics is a way to simplify everything and help people understand the world around them.

“The only place where people can 64 watermelons and no one wonders why.”  – Unknown

Watermelons are an unusual fruit, but they're not strange because of it. In fact, watermelons are one of the few fruits that can be eaten 64 times and no one wonders why. The reason is simple: watermelons are perishable. They don't store well, so they must be eaten as soon as possible.

“The important thing to remember about mathematics is not to be frightened.”  – Richard Dawkins

Math is important, but don't be afraid to ask questions or take on new projects. If you're not comfortable with a subject, don't be afraid to ask a tutor, or take online classes. There are many resources available to help people learn and enjoy math.

“Mathematics is like love; a simple idea, but it can get complicated.” - Anonymous

From its simplest form, mathematics is the study of relationships between objects and their properties. It can be difficult to see how this simple idea could get complicated, but it really does! Mathematics can be used to solve problems in everyday life, as well as in science and engineering. It can also be used to create mathematical models of the universe.

“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

Mathematics is a branch of science that deals with the structure and behavior of matter. It is a vital tool for scientists in their pursuit of knowledge about the universe and its inhabitants. Mathematics has been used to create sophisticated algorithms, models and theories that have helped us understand the natural world.

“It’s fine to work on any problem, so long as it generates interesting mathematics along the way – even if you don’t solve it at the end of the day.”  – Andrew Wiles

Most mathematicians are not content with solving problems and finishing the work. They enjoy solving problems and working on interesting mathematics along the way. Even if they don t solve the problem at the end of the day, they still enjoy the process of solving problems.

“Wherever there is a number, there is beauty.” - Proclus

Numbers can be found everywhere, from the every day to the surreal. Whether you're looking for a number on a piece of paper or across the room, numbers add up and make an impact. In art, numbers also play an important role, showcasing the beauty in shapes and sizes. From abstract pieces to realism, there is no limit to what can be created with numbers.

“God used beautiful mathematics in creating the world.”  – Paul Dirac

Mathematics is one of the oldest and most complex branches of science. It has been used to create a variety of physical theories, including those that explain how the universe behaves. But it also plays an important role in religious beliefs. Some people believe in a creator who created everything, while others believe that mathematics is just a tool used by scientists to understand the world. Regardless of the beliefs, mathematics has played a major role in creating our world and its many complexities.

“Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them.” - Joseph Fourier

Mathematics can be seen as a tool for understanding diverse phenomena. In particular, it has been found that mathematics can make analogies between different types of phenomena. This has led to the discovery of commonalities between diverse phenomena and the development of mathematical tools to help us understand them.

“There should be no such thing as boring mathematics.” - Edsger W. Dijkstra

Mathematics is one of the most interesting and complex subjects around. It can be challenging to learn, but it's also fun and engaging. There’s no need to be bored with mathematics!

“That awkward moment when you finish a math problem and your answer isn’t even one of the choices.” - Ritu Ghatourey

If you're like most people, the moment you finish a math problem and find out your answer isn't even one of the choices is uncomfortable. But that's not to say it's an unpleasant experience. In fact, many people find the process of trying to figure out what the answer should be reassuring. It means that you're taking seriously the task of solving problems and that you're doing your best.

“Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.” - Richard Courant

Mathematics is expressed through its basic elements, which are logic and intuition. These two aspects of mathematics play an important role in its expression. Additionally, analysis and co-ordination are also essential to the process of mathematical thought. All these three aspects work together to create a mathematical idea or theory.

“The essence of mathematics lies in its freedom.” - Georg Cantor

Mathematics is the branch of mathematics that deals with relationships between objects and their relations to one another. It is a powerful tool for understanding the world, and for designing and carrying out calculations.

“Mathematics is a place where you can do things which you can’t do in the real world.” - Marcus du Sautoy

Mathematics allows you to do things that you can't do in the real world. For example, you can solve equations and find solutions to problems. Mathematics also allows you to make predictions about future events.

“The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.”  – Charles Caleb Colton

Mathematics is one of the most studied subjects in school. With a focus on theory, mathematicians study the complexities of mathematics and their applications to specific fields of study. Mathematics has been used to help us in everything from understanding physical laws to predicting natural disasters. Despite its many uses, there is still much that remains enigmatic about mathematical objects and the ways they can be manipulated.

“Mathematics is the most beautiful and most powerful creation of the human spirit.”  – Stefan Banach

Mathematics is one of the most beautiful and powerful creations of the human spirit. It is a way to understand the natural world and to make predictions about the future. It is also a tool for solving problems. There are many ways to use mathematics to solve problems, and each person has his or her own favorite way to use it.

“Pure mathematicians just love to try unsolved problems - they love a challenge.” - Andrew Wiles

Pure mathematicians often enjoy trying unsolved problems, as they provide a challenge that can keep them on their toes. This is also why many of them are attracted to the field of mathematics, as it offers a potentially unlimited supply of challenges. With its expansive and diverse subject matter, mathematics has something for everyone, and pure mathematicians are no exception.

“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.”  – William Paul Thurston

Mathematics is about understanding the world. It is the study of relationships and formulae that govern things like shapes, sizes, and motion. This can be done in a number of ways, but one of the most common is using mathematics to solve equations. Mathematical investigations can also be used to create new algorithms or models for phenomena.

“It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences.”  – E.T. Bell

Mathematics is one of the oldest sciences and has been around for centuries. It has a perennial youthfulness which marks it off from the other sciences. Mathematics is known for its deep understanding of structures and their properties, as well as for its many paradoxes.

“Math is fun. It teaches you life and death information like when you’re cold, you should go to a corner since it’s 90 degrees there.” - Anonymous

Math is fun, and it can teach you life and death information like when you are cold, you should go to a corner since it is 90 degrees there. If you are not comfortable with math, there are other ways to learn it.

“Decimals have a point.”  – Unknown

Decimals are a useful way of expressing numbers. They can help to make numbers easier to understand and can be used in math games and papers. However, some people may find them confusing or difficult to use. This is why it is important to learn how to use them correctly.

“What is mathematics? It is only a systematic effort of solving puzzles posed by nature.” - Shakuntala Devi

Mathematics is the most systematic effort of solving puzzles posed by nature. It is an effort to find solutions to problems that have not been found before. Mathematics has helped humans solve many problems, from mental math problems to complex engineering calculations.

“Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigor should be a signal to the historians that the maps have been made, and the real explorers have gone elsewhere.” - W.S. Anglin

Mathematics is not a careful march down a well-cleared highway, but instead a journey into a strange wilderness. The explorers often get lost, and sometimes find themselves in unlikely places. This is what makes mathematics so interesting - it allows for surprises and explorations that could never be possible with other methods.

“Mathematics rightly viewed possesses not only truth but supreme beauty.”  – Bertrand Russell

Mathematics is rightly viewed as possessing not only truth but supreme beauty. Its elegance and simplicity are unparalleled. This is evident from the variety of topics that mathematics has to offer and the ways in which it can be used to solve problems. Mathematics is also an important tool for theoretical physics, algebra, calculus, and other sciences.

“Why do children dread mathematics? Because of the wrong approach. Because it is looked at as a subject.”  - Shakuntala Devi

Most children dread mathematics because the approach it takes to learning it is wrong. Mathematics is seen as a subject that is best left to adults. This is due to the way that mathematics is taught in schools. Most teachers teach the wrong way to learn math, which means that children are not able to understand the content of math. This lack of understanding can lead to problems in later life, such as poor problem-solving skills or being unable to work with numbers correctly.

“Mathematics is the science which uses easy words for hard ideas.”  – Edward Kasner

Mathematics is the science that uses easy words for hard ideas. Algebra and calculus are two of the most difficult subjects in mathematics, but with the right tools, they can be easily understood. Differential equations are another difficult subject, but they can be solved with a few simple steps.

“Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers.”  – Shakuntala Devi

Mathematics is a fundamental tool for scientists, engineers and anyone who wants to understand the world around them. Without mathematics, you would be unable to do anything in life. Everything around you is mathematical, from the shapes of molecules to the movements of planets. Mathematics has allowed us to solve complex problems and create beautiful theories that explain the universe.

“In mathematics, the art of proposing a question must be held of higher value than solving it.”  – George Cantor   

Mathematics is the art of proposing a question that can be answered with a mathematical solution. This is done by understanding the problem, designing a mathematical model to solve it, and applying mathematics to the model to produce an answer. The beauty of this art is that it requires creativity and intuition as well as a lot of knowledge in different areas of mathematics.

“Mathematics has beauty and romance. It’s not a boring place to be, the mathematical world. It’s an extraordinary place; it’s worth spending time there.”  – Marcus du Sautoy

Mathematics is a fascinating place where beauty and romance predominate. It's an extraordinary place full of surprising insights and surprises. Its mathematicians are passionate about their work and can often be found exploring the farthest reaches of mathematics.

“It is clear that the chief end of mathematical study must be to make the students think.” - John Wesley Young

Mathematics has always been a vital part of many people's lives, and it continues to be so today. There are a number of reasons for this, one of which is the ability that mathematicians have to think straight. In order to make the students think about what they're learning, mathematicians often use games and challenges to help them process information.

“A mathematician who is not also something of a poet will never be a complete mathematician.” - Karl Weierstrass

A mathematician is not only a great scientist, but also a poet. This is evident from the mathematician’s works, which often deal with Mathematics and its various aspects. However, a mathematician who also poetry will never be able to fully understand and appreciate the mathematical ideas and processes that makeup mathematics.

“Life is a math equation. In order to gain the most, you have to know how to convert negatives into positives.”  – Anonymous

Life is a math equation. In order to gain the most out of life, you have to be able to convert negatives into positives. By understanding how to do this, you can live a more fulfilling and rewarding life.

“As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.”  – Albert Einstein

Nature always brings happiness to people, whether they are paying attention or not. One of the most beautiful things about spring is the return of nature's loveliness. Whether it's a fresh breeze in the air or some beautiful flowers blooming, nature is always filled with energy and beauty. People often find themselves refreshed and inspired by the natural world.

“Mathematics allows for no hypocrisy and no vagueness.” - Stendhal

Mathematics is a powerful tool that allows for no hypocrisy and no vagueness. The mathematics that we use allows us to understand complex concepts and Apply them in our everyday lives. This power is what makes mathematics so important, and it should not be taken for granted.

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Math and Multimedia

School math, multimedia, and technology tutorials.

50 Mathematics Quotes by Mathematicians, Philosophers, and Enthusiasts

Mathematicians, philosophers, and enthusiasts alike have their own views about mathematics. Below are the 50 mathematics quotes collected from the time of Euclid up to 21st century.

Let’s see what the masters of the field have to say about mathematics. Don’t forget to type on the comment box which of the quotes is/are your favorite/s.

1. Mathematics is a game played according to certain rules with meaningless marks on paper. — David Hilbert

2. Mathematics is concerned only with the enumeration and comparison of relations. — Carl Friedrich Gauss

3. Mathematics is the door and key to the sciences. — Roger Bacon

4. Mathematics is the science of what is clear by itself. — Carl Jacobi

5. Mathematics – the unshaken Foundation of Sciences, and the plentiful Fountain  of Advantage to human affairs.  — Isaac Barrow

6. Mathematics is as much an aspect of culture as it is a collection of algorithms. —  Carl Boyer

7. Mathematics is the art of giving the same name to different things.– Henri Poincaré

8. Mathematics is one of the essential emanations of the human spirit — a think to be valued in and for itself like art or poetry.

9. Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere.  – – W. S. A

10. Mathematics, as much as music or any other art, is one of the means by which we rise to a complete self-consciousness. The significance of mathematics resides precisely in the fact that it is an art; by informing us of the nature of our own minds it informs us of much that depends on our minds.– John William Navin Sullivan

11. Mathematics is the supreme judge; from its decisions there is no appeal.–Tobias Dantzig

12. Mathematics is no more computation than typing is literature.– John Allen Paulos

13. Mathematics is the language with which God wrote the universe. — Galileo

14. Mathematics is the handwriting on the human consciousness of the very spirit of life itself. — Claude Bragdon

15. Mathematics is the queen of science. — Carl Friedrich Gauss

16. Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. — Bertrand Russell

17. Mathematics consists in proving the most obvious thing in the least obvious way. — George Polya

18. Mathematics is like love; a simple idea, but it can get complicated.

19. Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state. — Plato

20. Mathematics is not a deductive science – that’s a cliché. When you try to prove a theorem, you don’t just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork. — Paul Halmos

21. Mathematics is written for mathematicians.  — Copernicus

22. Mathematics is a great motivator for all humans.. Because its career starts with zero and it never end (infinity).

23. Mathematics is not a book confined within a cover and bound between brazen clasps, whose contents it needs only patience to ransack; it is not a mine, whose treasures may take long to reduce into possession, but which fill only a limited number of veins and lodes; it is not a soil, whose fertility can be exhausted by the yield of successive harvests; it is not a continent or an ocean, whose area can be mapped out and its contour defined: it is limitless as that space which it finds too narrow for its aspirations; its possibilities are as infinite as the worlds which are forever crowding in and multiplying upon the astronomer’s gaze. — J. Sylvester

24. Mathematics is, I believe, the chief source of the belief in eternal and exact truth, as well as a sensible intelligible world. — Bertrand Russell

25. 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. — P. Dirac.

26. Mathematics is not only real, but it is the only reality. — Martin Gardner 27. Mathematics is often erroneously referred to as the science of common sense. — Newman & Kasner

28. 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.

29. Mathematics Is an Edifice, Not a Toolbox

30. Ma thematics is an independent world created out of pure intelligence.  — William Woods Worth

31. Mathematics is, as it were, a sensuous logic, and relates to philosophy as do the arts, music, and plastic art to poetry. —  K. Shegel

32. Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency.  — Descartes

33. Mathematics is the science which uses easy words for hard ideas. — Edward Kasner and James R. Newman

34. Mathematics is a body of knowledge, but it contains no truths.  — Morris Kline

35. Mathematics is the science which draws necessary conclusions. — Benjamin Pierce

36. Mathematics is an art of  human  understanding. — William Thurston

37, Mathematics, in the common lay view, is a static discipline based  on formulas…But outside the public view, mathematics continues  to grow at a rapid rate…the guide to this growth is not calculation  and formulas, but an open ended search for pattern. – – Lynn A. Steen

38. Mathematics, even in its present and most abstract state, is not detached from life. It is just the ideal handling of the problems of life.– Cassius Jackson Keyser 

39. Mathematics is the science of definiteness, the necessary vocabulary of those who know. — W. J. White

40. Mathematics serves as a handmaiden for the explanation of the quantitative situations in other subjects, such as economics. – H. F. Fehr

41. Mathematics compares the most diverse phenomena and discovers the secret analogies that unite them. — Joseph Fourier 

42. Mathematics is on the artistic side a creation of new rhythms, orders, designs, harmonies, and on the knowledge side, is a systematic study of various rhythms, orders.– William L. Schaaf 

43. Mathematics is pure language – the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. — A Adler.

44. But mathematics is the sister, as well as the servant, of the arts and is touched by the same madness and genius. — Marston Morse

45. Mathematics is concerned with “all possible worlds. — D.M. Armstrong

46.  . . mathematics is not just another language . . . it is a language plus logic. Mathematics is a tool for reasoning. — Richard Feynman

47.  Mathematics is not a contemplative but a creative subject; no one can draw much consolation from it when he has lost the power or the desire to create; and that is apt to happen to a mathematician rather soon. It is a pity, but in that case he does not matter a great deal anyhow, and it would be silly to bother about him. — G.H. Hardy

48. Mathematics, however, is, as it were, its own explanation; this, although it may seem hard to accept, is nevertheless true, for the recognition that a fact is so is the cause upon which we base the proof. — Girolamo Cardano

49. Mathematics makes a nice distinction between the usually synonymous terms “elementary” and “simple”, with “elementary” taken to mean that not very much mathematical knowledge is needed to read the work and “simple” to mean that not very much mathematical ability is needed to understand it. – Julian Havel

50. Mathematics is a hard thing to love. It has the unfortunate habit, like a rude dog, of turning its most unfavourable side towards you when you first make contact with it. — David Whiteland

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30 Mathematics Quotes for Kids

Mathematics is not just about numbers but a hub of discovery, creativity, and problem-solving. Without maths, we can’t do much. Everything in a child’s life, from their earliest experiences to future successes, has a foundation in science and mathematics.

Mathematics is both fascinating and beautiful, yet it can be challenging, especially for children who may not find it engaging right away. 

Does your child enjoy mathematics? 

If not, then sharing inspiring and fun math quotes for kids can make a big difference. These quotes can spark curiosity, highlight the significance of math, and bring joy to problem-solving. They help children develop essential thinking, problem-solving, and analytical skills while appreciating the role math plays in the world around them.

Let’s dive into a collection of math quotes that will help your child fall in love with mathematics, making it fun and meaningful.

Right approach with mathematics

Many of us remember the mix of joy and frustration with multiplication drills or math races. While speed can be important, for children to excel in mathematics, a calm and methodical approach to problem-solving is key. This builds accuracy and confidence, allowing them to tackle more complex challenges as they grow.

Teaching math goes beyond memorization; it involves the right techniques and approaches. Our universe is filled with mathematical and geometrical concepts , visible in everything from nature to technology. These real-world examples can be a great way to introduce math to kids and make it both practical and fascinating.

Incorporating storytelling and asking questions can spark curiosity and encourage children to explore the “why” and “how” behind math concepts. This not only makes learning more enjoyable but also deepens their understanding, turning math into a subject they can truly appreciate.

The purpose of using mathematics quotes

Mathematics is more than a subject; it’s a language that helps us describe the world through patterns, structures, and relationships. To inspire the next generation of thinkers and problem-solvers, we need to make math accessible and exciting for children.

Sharing wise and insightful statements from historical figures and mathematicians can inspire kids and help them feel more confident. These quotes can make math seem less intimidating and more approachable. Teachers and parents can use math quotes in lessons or conversations to spark interest and show that math is a way of thinking about the world, not just numbers.

30+ Mathematics quotes for kids

In history, we can find wise words by the world’s brightest minds that remain relevant to this day! We’ve compiled a few quotes on maths for students:

1. “Mathematics is not about numbers, equations, computations or algorithm: it is about understanding”

2. “the only way to learn mathematics is to do mathematics”, 3. “mathematics is the music of reason”, 4. “mathematics is the most beautiful and most powerful creation of the human spirit”, 5. “mathematics is the door and the key to the sciences”, 6. “mathematics is a language”, 7. “the beauty of mathematics only shows itself to more patient followers”, 8. “mathematics is written for mathematicians” , 9. “mathematics is the science is what is clear by itself”, 10. “arithmetic is where number fly like pigeons in and out of your head”, 11. “the essence of mathematics lies in its freedom”, 12. “mistakes are proof that you are trying”, 13. “it’s not that i’m so smart, it’s just that i stay with problems longer”, 14. “the only limit to our realization of tomorrow will be our doubts of today”, 15. “mathematics is not a spectator sport”, 16. “the only way to learn mathematics is to do mathematics”, 17. “go down deep enough into anything and you will find mathematics”, 18. “wherever there is number, there is beauty”, 19. “i’ve always been interested in using mathematics to make the world a better”, 20. “in real life, i assure you, there is no such thing as algebra”, 21. “if you stop at general math, you will only make general money”, 22. “there should be no such thing as boring mathematics”, 23. “mathematics consists of proving the most obvious thing in the least obvious way”, 24. “nature is written in mathematical language”, 25. “the essence of mathematics lies in its freedom”, 26. “dear math, please grow up and solve your own problems. i’m tired of solving them for you”, 27. “five out of four people have trouble with fractions”.  , 28. “only two things are infinite, the universe and human stupidity and i’m not sure about the former”, 29. “decimals have a point”, 30. “dear math, i’m sick and tired of finding your x. just accept the fact that she’s gone”, why math’s is considered fun.

Kids can learn math in fun ways, like through games or visual apps. These tools make learning math more enjoyable, especially in today’s digital world. Often, frustration with math starts when fractions are introduced in early age, but it doesn’t have to be that way.

Before diving into fractions, kids first build a strong understanding of whole numbers. Not every lesson needs to end in success, but creating positive experiences with problem-solving makes learning math feel like a fun challenge rather than a chore.

Making math a social activity also helps. When kids work together, math becomes more engaging, and everyone can feel included. Early exposure to math is important, and when it’s fun, kids are more likely to succeed later.

Using real-life examples and fun scenarios helps preschoolers grasp basic math concepts. When kids enjoy what they’re learning, it boosts their problem-solving skills and brain development. That’s why math can actually be fun when approached in the right way.

Myths and mathematics

Many kids who struggle with math early on develop anxiety, which can lead to myths and misconceptions about the subject. People often think math is just about memorizing formulas and reciting tables, but it’s much more than that.

Young learners quickly decide whether they’re “good” or “bad” at math, and this belief can stick with them for life. But the truth is, math is for everyone. We just need to find creative ways to spark kids’ curiosity and help them learn the steps.

Traditional tools like worksheets and flashcards are helpful, but mixing things up is important. Some kids learn better with visual aids, others enjoy math through competition, and some love applying math to real-life situations.

Kids are always learning, and there are endless opportunities to get them interested in math. With the right approach, they can enjoy math and see it as a subject they can succeed in.

Wrapping up

Math can be tricky at times, especially with concepts like fractions and multiplication. But the right math quotes can offer inspiration and help kids stay motivated.

Many of the quotes on math’s significance have stood the test of time and are still relevant today. Use them to inspire your kids and make learning math fun! There are also various methods for testing mathematical skills and helping children understand math better.

Simran Aggarwal

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Introduction

Albert einstein: a brilliant mind in science and mathematics, insightful math quotes by albert einstein, exploring the meaning behind einstein's math quotes, how einstein's quotes inspire and motivate mathematicians.

  • Frequently Asked Questions (FAQs)

Albert Einstein Math Quotes

Albert Einstein Math Quotes

Albert einstein math quotes: Math Worksheets Math Games Math quizzes Math videos

Albert Einstein, born in 1879, was a German-born theoretical physicist who is widely regarded as one of the greatest scientific minds in history. While he is most famous for his groundbreaking contributions to physics, particularly his theory of relativity, Einstein also possessed a brilliant mind in the field of mathematics. Einstein's mathematical prowess played a crucial role in his scientific achievements. He had a deep understanding of advanced mathematical concepts and was able to apply them to solve complex problems and develop revolutionary theories. His mathematical insights were instrumental in formulating the theory of relativity, which revolutionized our understanding of space, time, and gravity. In addition to his contributions to physics, Einstein also made significant contributions to mathematics itself. He made important advancements in areas such as geometry, calculus, and the foundations of mathematics. His work in geometry, for example, influenced the development of non-Euclidean geometries, expanding the possibilities and applications of mathematical principles. Einstein's brilliance in mathematics extended beyond his theoretical work. He had an intuitive understanding of mathematical concepts and could easily visualize and manipulate abstract mathematical ideas. This exceptional mathematical ability allowed him to formulate elegant and concise equations that accurately described the fundamental laws of the universe. Einstein's contributions to both science and mathematics have had a profound and lasting impact on our understanding of the natural world. His innovative thinking, creative approaches, and deep mathematical insights continue to inspire scientists, mathematicians, and researchers to this day. Einstein's legacy serves as a testament to the immense power and beauty of the human mind when it is applied to the pursuit of knowledge and understanding.

Albert Einstein, renowned for his brilliance in physics, also shared profound insights and perspectives on mathematics. Here are some insightful math quotes by Albert Einstein: "Pure mathematics is, in its way, the poetry of logical ideas." - Einstein recognized the beauty and elegance of mathematics, emphasizing its artistic nature and the creative expression it allows. "Do not worry about your difficulties in mathematics; I can assure you that mine are still greater." - This quote reflects Einstein's humility and acknowledgment that even he encountered challenges in mathematics, emphasizing the importance of perseverance and a growth mindset. "The only way to learn mathematics is to do mathematics." - Einstein emphasized the importance of active engagement and practice in learning mathematics. He believed that hands-on experience with mathematical problems was essential for deep understanding. "As far as the laws of mathematics refer to reality, they are not certain; as far as they are certain, they do not refer to reality." - This quote highlights Einstein's view that while mathematics provides a powerful tool for understanding the natural world, its laws are conceptual and may not always directly correspond to physical reality. "The hardest thing in the world to understand is the income tax." - Einstein, known for his witty remarks, humorously expressed the complexity of the income tax system, which involves mathematical calculations and formulas. These insightful quotes by Albert Einstein demonstrate his appreciation for the beauty, significance, and challenges of mathematics. They encourage a deeper exploration of mathematical concepts, inspire curiosity, and remind us of the enduring impact of mathematics on our understanding of the universe.

  • "Pure mathematics is, in its way, the poetry of logical ideas." This quote reflects Einstein's recognition of the aesthetic appeal and elegance of mathematics. He saw mathematics as a language of logical ideas, with its own beauty and artistry.
  • "Do not worry about your difficulties in mathematics; I can assure you that mine are still greater." Einstein's words here convey a sense of empathy and encouragement. He reminds us that everyone faces challenges in mathematics and that perseverance and determination are key to overcoming difficulties.
  • "The only way to learn mathematics is to do mathematics." Einstein emphasizes the importance of active engagement and practice in learning mathematics. Merely reading or memorizing formulas is not enough; one must actively solve problems and engage with mathematical concepts to truly understand them.
  • "As far as the laws of mathematics refer to reality, they are not certain; as far as they are certain, they do not refer to reality." This quote highlights Einstein's deep understanding of the relationship between mathematics and the physical world. He suggests that while mathematics is a powerful tool for describing and understanding reality, its laws are conceptual and may not perfectly align with the complexities of the real world.
  • "The hardest thing in the world to understand is the income tax." This lighthearted quote showcases Einstein's wit and humor. By joking about the complexity of income tax, which involves mathematical calculations, he adds a touch of levity to the discussion of mathematics.
  • Encouragement to persevere: Einstein's quotes often acknowledge the challenges and difficulties inherent in mathematics. By sharing his own struggles, he encourages mathematicians to persevere and not be discouraged by setbacks. This reminder of the shared experience of facing obstacles instills a sense of resilience and determination in mathematicians.
  • Appreciation for the beauty of mathematics: Einstein's recognition of the elegance and aesthetic appeal of mathematics resonates deeply with mathematicians. His comparison of mathematics to poetry and art reminds them of the intrinsic beauty and creativity embedded in mathematical concepts and proofs. This appreciation fuels their passion for exploring and unraveling the mysteries of mathematics.
  • Emphasis on active learning: Einstein's belief that the best way to learn mathematics is by doing mathematics aligns with the principles of active learning and problem-solving in mathematics education. Mathematicians find inspiration in his call for hands-on engagement, as they understand the value of actively exploring mathematical concepts and applying them to solve problems.
  • Reflection on the relationship between mathematics and reality: Einstein's contemplation of the connection between mathematical laws and the physical world prompts mathematicians to reflect on the profound interplay between abstract mathematics and its applications in various scientific disciplines. It encourages them to seek connections between theoretical concepts and practical implications, driving innovation and advancements in fields where mathematics is applied.
  • Stimulus for creative thinking: Einstein's quotes often challenge conventional thinking and encourage outside-the-box approaches. Mathematicians find inspiration in his unconventional perspectives, which push them to think creatively and explore new avenues in their research. His quotes remind them that embracing curiosity and embracing unconventional ideas can lead to groundbreaking discoveries.

Frequently Asked Questions

  • Q: What are some famous math quotes by Albert Einstein? A: Some famous math quotes by Albert Einstein include: "Do not worry about your difficulties in Mathematics. I can assure you mine are still greater." "Pure mathematics is, in its way, the poetry of logical ideas." "The only way to learn mathematics is to do mathematics." "As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality." "The hardest thing in the world to understand is the income tax."
  • Q: How did Albert Einstein contribute to mathematics? A: While Albert Einstein is primarily known for his contributions to physics, he made significant contributions to mathematics as well. His work on the theory of relativity involved advanced mathematical concepts and equations. He also contributed to the field of statistical mechanics and developed the Einstein field equations, which are fundamental in the study of general relativity.
  • Q: Why are Albert Einstein's math quotes popular? A: Albert Einstein's math quotes are popular because they provide insight into his perspective on mathematics and its relation to the world. As one of the most influential scientists of all time, Einstein's quotes carry weight and inspire both mathematicians and non-mathematicians alike. His ability to express complex mathematical ideas in a relatable and thought-provoking manner has made his quotes widely shared and celebrated.
  • Q: How can Albert Einstein's math quotes inspire mathematicians? A: Albert Einstein's math quotes inspire mathematicians by reminding them of the beauty and creativity inherent in their field. His quotes encourage perseverance in the face of challenges and emphasize the importance of active learning and problem-solving. They also stimulate creative thinking and prompt mathematicians to explore connections between mathematics and the real world. Einstein's quotes serve as a source of motivation, encouraging mathematicians to push boundaries and seek innovative solutions to complex problems.
  • Q: Can non-mathematicians benefit from Albert Einstein's math quotes? A: Yes, non-mathematicians can benefit from Albert Einstein's math quotes. His quotes often convey broader messages about curiosity, creativity, and the pursuit of knowledge. They can inspire people to approach challenges with a problem-solving mindset, appreciate the beauty of abstract concepts, and think critically about the world around them. Einstein's quotes have the power to resonate with individuals from various backgrounds and ignite a sense of wonder and curiosity.

In conclusion, the math quotes by Albert Einstein provide us with a glimpse into the brilliant mind of one of history's greatest scientists. Einstein's quotes not only reflect his deep understanding of mathematics but also offer valuable insights into the nature of the subject and its connection to the world. His quotes inspire and motivate mathematicians by emphasizing the importance of perseverance, curiosity, and creative thinking. Furthermore, these quotes resonate with a broader audience, including non-mathematicians, as they convey universal messages of intellectual curiosity, problem-solving, and the pursuit of knowledge. Albert Einstein's math quotes continue to inspire generations, reminding us of the beauty and significance of mathematics in our lives.

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Albert Einstein Quotes About Mathematics

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Imagination is more important than knowledge.

Albert Einstein quote: Make everything as simple as possible, but not simpler.

Make everything as simple as possible, but not simpler.

Physics is essentially an intuitive and concrete science. Mathematics is only a means for expressing the laws that govern phenomena.

Pure mathematics is, in its way, the poetry of logical ideas.

quotes about math problem solving

It's not that I'm so smart, it's just that I stay with problems longer.

Do not worry about your difficulties in Mathematics. I can assure you mine are still greater.

As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.

Gravitation cannot be held responsible for people falling in love. How on earth can you explain in terms of chemistry and physics so important a biological phenomenon as first love? Put your hand on a stove for a minute and it seems like an hour. Sit with that special girl for an hour and it seems like a minute. That's relativity.

Mathematics are well and good but Nature keeps dragging us around by the nose.

God does not care about our mathematical difficulties. He integrates empirically.

I don't believe in mathematics.

Since the mathematicians have invaded the theory of relativity I do not understand it myself any more.

There exists a passion for comprehension, just as there exists a passion for music. That passion is rather common in children, but gets lost in most people later on. Without this passion there would be neither mathematics nor natural science.

God is subtle but he is not malicious.

One reason why mathematics enjoys special esteem,above all other sciences,is that its laws are absolutely certain and indisputable,while those of all other sciences are to some extent debatable and in constant danger of being overthrown by newly discovered facts.

Except in mathematics, the shortest distance between point A and point B is seldom a straight line. I don't believe in mathematics.

How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality?

Mathematics deals exclusively with the relations of concepts to each other without consideration of their relation to experience.

The bitter and the sweet come from the outside, the hard from within, from one's own efforts.

But the creative principle resides in mathematics. In a certain sense, therefore, I hold true that pure thought can grasp reality, as the ancients dreamed.

But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.

What is this frog and mouse battle among the mathematicians?

I am exclusively occupied with the problem of gravitation and hope with the help of a local mathematician friend [Marcel Grossman] to overcome all the difficulties. One thing is certain, however, that never in life have I been quite so tormented. A great respect for mathematics has been instilled within me, the subtler aspects of which, in my stupidity, I regarded until now as pure luxury.

The truth of a theory is in your mind, not in your eyes.

Pure mathematics is, in its way, the poetry of logical ideas. ... [By seeking] logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature.

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  • Born: March 14, 1879
  • Died: April 18, 1955
  • Occupation: Theoretical Physicist
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Math Fluency Is All About Problem-Solving. Do We Teach It That Way?

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To learn math, students must build a mental toolbox of facts and procedures needed for different problems.

But students who can recall these foundational facts in isolation often struggle to use them flexibly to solve complex, real-world problems , known as procedural fluency.

“Mathematics is not just normalizing procedures and implementing them when somebody tells you to use that procedure. Mathematics is solving problems,” said Bethany Rittle-Johnson, a professor of psychology and human development at Peabody College in Vanderbilt University, who studies math instruction. “To solve problems, we have to figure out what strategy to use when—and that tends to get too little attention.”

In a series of ongoing experiments, Rittle-Johnson and her colleagues find students develop better procedural fluency when they get opportunities to compare and contrast problem-solving approaches and justify the approaches they use in different situations. While some students may develop this skill on their own, most need explicit instruction, she found.

Rittle-Johnson spoke with Education Week about how teachers can use such comparisons to help students develop a deeper understanding of math. This interview has been edited for space and clarity.

For more on the best research-based strategies on improving math instruction, see Education Week’s new math mini-course .

How often do teachers talk to students about multiple strategies, and how to select them, in math problem-solving?

Students in the [United States] are very rarely doing rich contextual problems. Even more rarely, they’re being asked to compare strategies to solve them. I don’t hear teachers talk about [using different strategies] a lot, and textbooks tend to do a pretty bad job of explaining it.

Bethany Rittle Johnson

For example, in Algebra 1, solving systems of equations, there are many standard solutions strategies that are taught in separate chapters and textbooks, ... but I see shockingly little time spent having students think and compare and choose which strategy to use. In one study where teachers were trained [to compare math strategies], only about 20 percent did in the classroom—and only about 5 percent of teachers who [did not receive training.]

Sometimes I hear teachers say, “Well, multiple strategies, that’s great for my high-end learners, but I don’t want to show that to my struggling learners. … So maybe multiple strategies is the ideal, but I’m not going to get to it because I’m tight on time and my kids are behind.” But we hear from struggling learners that they really appreciate the multiple strategies and we see that it helps them, too, across the grade bands and across contexts.

How can teachers decide when to bring in and compare different strategies while introducing a new math concept?

We find comparisons can be useful in all different phases of instruction.

It can be helpful for kids to have had some time to think about one strategy before they think about multiple strategies, maybe at most a lesson. But the risk is in general, if you wait too long, kids just get attached to one strategy. You run the risk of kids becoming really attached to one strategy, and then they become more resistant to wanting to think about and use multiple strategies.

What does this sort of comparison look like in the classroom?

One best practice is to have the steps of the different strategies written out. It can be kids’ strategies that they wrote on the board. It can be projecting strategies from textbooks or your solutions, but one thing we know is: Make sure both strategies are visible so that kids don’t have to remember. Then we ask kids to think about similarities and differences and think about, when is each a good strategy?

Sometimes we have students compare correct and incorrect strategies and explain the concepts that make the correct strategy correct. Just because you teach kids correct ways of doing things, that doesn’t mean the incorrect strategies disappear. Students really need help thinking and reasoning through why those are wrong.

What are the more common struggles for teachers to teach multiple strategies?

The No. 1 barrier we face is time. Teachers just feel they’re under so much pressure to cover so much content that they feel like they can’t take the time to do this, and that they see the value and the payoff in it. It does pay off for what is assessed [in standardized math tests], but it’s not directly assessed, and so that makes teachers nervous.

Also, sometimes teachers really don’t like to say this way is better than this other way. Even though mathematicians would say, “yeah, this way is clearly better in this context, and this other way is clearly better in that context,” ... sometimes teachers feel uncomfortable that they’re making a value judgment.

But the evidence is really clear that it’s helpful to show correct and incorrect examples and talk through them.

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Mathematics > Analysis of PDEs

Title: solving the wave equation on discrete time scales.

Abstract: This paper presents a solution to an initial value problem for the 1-dimensional wave equation on time scales through the application of a Fourier transform and its inverse via contour integrals. The time scale of the spatial dimension is set to the integers and a broader class of discrete time scales, while the time dimension is set to the positive real numbers.
Comments: 15 pages, 2 figures
Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV)
classes: 39A14, 34N05, 35R07
Cite as: [math.AP]
  (or [math.AP] for this version)
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  23. Title: Solving the Wave Equation on Discrete Time Scales

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