Quotes. Some words of wisdom. D.L. Hughley. Pressure: It can burst a pipe or create a diamond . . Benjamin Disraeli . The greatest good you can do for [students] is not just to share your riches but to reveal to [them their] own.
Some words of wisdom
It can burst a pipe
or create a diamond.
The greatest good you can do for [students] is not just to share your riches but to reveal to [them their] own.
Students learn mathematics
by doing mathematics.
The only way to learn mathematics
is to do mathematics.
It is not sufficient for the writer to believe it;
enough details must be given so that the reader will also understand and believe.
The burden of making oneself understood rests with the writer.
Do not let what you cannot do
interfere with what you can do.
Mathematics is a lot like eating a steak;
you've got to cut it into little pieces
or you'll choke.
It is not my aptitude
but my attitude
that determines my altitude.
Practice does not make perfect.
Perfect practice makes perfect!
The mathematician is an artist
whose medium is the mind
whose creations are ideas.
An idea is only a thought
until it is communicated.
[M]athematics is an art–
the purest form of art, in which the mind is the instrument of expression.
This is the art which takes chaos and builds from it a magnificent structure of order and reason.
You've got to drive beyond
the hood of your car.
By the time people panic,
it's usually too late to panic.
I cannot teach you.
I can help you to explore
and nothing more.
Give a man a fish
and you feed him for a day.
Teach a man to fish
and you feed him for a lifetime.
We are in pursuit of perfection.
We will not catch it;
only God is perfect.
But, in our pursuit,
we shall achieve excellence.
If you haven't got time to be a student,
then don't be a student.
There is no substitute for hard work.
It is a great nuisance
that knowledge can only be attained
by hard work.
Failure is instructive.
The person who really thinks
learns quite as much from his failures
as from his successes.
It is better to wear out than to rust out.
The nerds are running the world now.
No pain, no gain.
Happy is the man
who can understand why things happen.
In a few minutes,
a computer can make a mistake so great
that it takes many men months to equal it.
If there's no struggle,
there's no progress.
[I]ntelligence is proved
not by ease of learning,
but by understanding what we learn.
What you have been obliged to discover by yourself leaves a path in your mind which you can use again when the need arises.
The good Lord made us with two ends–
one to sit on
and one to think with.
How well you succeed in life
depends on which one you use.
If you don't learn from your mistakes,
there's no sense making them.
You can see a lot
just by looking.
A mathematician is a machine
for turning coffee into theorems.
and studying much
are the three pillars of learning.
I skate to where the puck is going to be,
not where it has been.
Not one student in a thousand
breaks down from overwork.
When I was young
I observed that
nine out of every ten things I did
so I did ten times more work.
With every mistake
we must surely be learning.
Mathematicians are trained and inclined to sit and think.
A mathematician can sit and think intensely about a problem for 12 hours a day,
six months straight,
with perhaps just
pencil and paper.
No one will be able to read
the great book of the Universe
if he does not know the language,
which is that of mathematics.
[Y]ou learn with experience.
You make a mistake one time,
and you learn from it
and you try not to let it happen again.
Of all the pre-college curricula,
the highest level of mathematics one studies in secondary school
has the strongest continuing influence on bachelor degree completion.
student errors have come more from
Athletes are expected to perform at a higher level in college
so why not expect the same from students?
Drop a pebble into a calm lake
and watch its ripples.
What you do today
will impact your future!
The dictionary is the only place that success comes before work.
Hard work is the price we must pay for success.
[Y]ou can accomplish anything if you're willing to pay the price.
Character consists of what you do
on the third and fourth try.
If you can judge a wise man
by the color of his skin,
you're a better man than I.
Reading is fundamental**.
But you don't really "read" a mathematics book,
you need to "write" a mathematics book
by taking notes and working examples as you go.
The most important thing students can learn is how to learn on their own.
Technology is rapidly changing [the world]
and those who cannot teach themselves
will find their mere knowledge of the fundamentals
insufficient for future challenges.
There's no great fun,
derived from doing something that's easy.
It dawned on me
about two weeks into the first year that
it was not teaching that was taking place in the classroom,
[T]he [mathematics] textbook,
although sometimes hard to read,
goes at the reader's pace.
I can accept failure.
Everyone fails at something.
What I cannot accept is not trying.
Failing to prepare
preparing to fail.
People are afraid
of things they do not understand.
When reading a mathematics text,
not only do you need a pencil and paper
but you need to visualize what is going on–
Just like reading an erotic novel.
My job is to challenge students to think
so that when they need to think,
it won't be such a challenge.
I wonder if mathematics isn't rather a state of mind,
an analytic mind,
which can size up a situation,
discard the unimportant,
fit disorganized facts into a pattern,
and know when a problem is solved.
it might be that we could make essential progress.
we would no longer apply the old principle of supplying answers to problems!
Part of the scientific mind is
the critical ability to know when the problem is solved.
I hear, I forget;
I see, I remember;
I do, I understand.
is taught the best
who is told the least.