The most important thing we can do is inspire young minds and to advance the kind of science, math and technology education that will help youngsters take us to the next phase of space travel.

— John Glenn

## Heartwarming Math Education quotations

### We are all concerned about the future of American education.

But as I tell my students, you do not enter the future - you create the future. The future is created through hard work.

### Where there is matter, there is geometry.

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

### It is a capital mistake to theorize before one has data.

Insensibly one begins to twist facts to suit theories, instead of theories to suit facts.

Why are numbers beautiful? It’s like asking why is Beethoven’s Ninth Symphony beautiful. If you don’t see why, someone can’t tell you. I know numbers are beautiful. If they aren’t beautiful, nothing is.

I never teach my pupils, I only attempt to provide the conditions in which they can learn.

It is better to solve one problem five different ways, than to solve five problems one way.

### The mathematical sciences particularly exhibit order symmetry and limitations;

and these are the greatest forms of the beautiful.

When you can measure what you are speaking about, and express it in numbers, you know something about it.

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

### One's work may be finished someday, but one's education never.

But just as much as it is easy to find the differential [derivative] of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not.

### Beauty in mathematics is seeing the truth without effort.

Scientific research and other studies have demonstrated that arts education can enhance American students' math and language skills and improve test scores which in turn increase chances of higher education and good jobs in the future.

### The only way to learn mathematics is to do mathematics.

That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

The man ignorant of mathematics will be increasingly limited in his grasp of the main forces of civilization.

All the mathematical sciences are founded on relations between physical laws and laws of numbers.

Math is the beautiful, rich, joyful, playful, surprising, frustrating, humbling and creative art that speaks to something transcendental. It is worthy of much exploration and examination because it is intrinsically beautiful, nothing more to say. Why play the violin? Because it is beautiful! Why engage in math? Because it too is beautiful!

In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure.

### The more I work and practice, the luckier I seem to get.

It is clear that the chief end of mathematical study must be to make the students think.

The length of your education is less important than its breadth, and the length of your life is less important than its depth.

### Give a man a fish and you feed him for a day.

Teach a man to fish and you feed him for a lifetime. Leave the dude alone and he'll figure it out.

Don't just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? ... Where does the proof use the hypothesis?

I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.

After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential.

From the very beginning of his education, the child should experience the joy of discovery.

It is utterly implausible that a mathematical formula should make the future known to us, and those who think it can would once have believed in witchcraft.

Mathematics rightly viewed possesses not only truth but supreme beauty.

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.

If there is a problem you can't solve, then there is an easier problem you can't solve: find it.

A mathematician, like a painter or a poet, is a maker of patterns.

Geometry is the science of correct reasoning on incorrect figures.