A Quote by Nicolaus Copernicus
Not a few other very eminent and scholarly men made the same request, urging that I should no longer through fear refuse to give out my work for the common benefit of students of Mathematics.
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The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who wishes to serve equally all his students, future users and nonusers of mathematics, should teach problem solving so that it is about one-third mathematics and two-thirds common sense.
You could also "request" to be locked into the seclusion room. Not many people made that request. You had to "request" to get out too. A nurse would look through the chicken wire and decide if you were ready to come out. Somewhat like looking at a cake through the glass of the oven door.
Men can become twins with age. The past was their common womb; the six months of rain and the six months of sun was the period of their common gestation. They needed only a few words and a few gestures to convey their meaning. They had graduated through the same fevers, they were moved by the same love and contempt.
I appeal to all men and women, whether they be eminent or humble, to declare that they will refuse to give any further assistance to war or the preparation of war.
I don't think that everyone should become a mathematician, but I do believe that many students don't give mathematics a real chance. I did poorly in math for a couple of years in middle school; I was just not interested in thinking about it. I can see that without being excited mathematics can look pointless and cold. The beauty of mathematics only shows itself to more patient followers.
The easiest method of acquiring the habit of scholarship is through acquiring the ability to express oneself clearly in discussing and disputing scholarly problems. This is what clarifies their import and makes them understandable. Some students spend most of their lives attending scholarly sessions. Still, one finds them silent. They do not talk and do not discuss matters. More than is necessary, they are concerned with memorizing. Thus, they do not obtain much of a habit in the practice of scholarship and scholarly instruction.
Life will be wonderful when men no longer fear dying. When the last superstitions are thrown out and we meet death with the same equanimity as life. No longer will children's minds be twisted by evil gods whose fantastic origin is in those barbaric tribes who feared death and lightning, who feared life. That's it: life is the villain to to those who preach reward in death, through grace and eternal bliss, or through dark revenge.
Please do as I requested, only if you can do so with the joy of a little child feeding a hungry duck. Please do not do as I request if there is any taint of fear of punishment if you don't. Please do not do as I request to buy my love, that, is hoping that I will love you more if you do. Please do not do as I request if you will feel guilty if you don't. Please do not do as I request if you will feel shameful. And certainly do not do as I request out of any sense of duty or obligation.
Mathematics is about problems, and problems must be made the focus of a student's mathematical life. Painful and creatively frustrating as it may be, students and their teachers should at all times be engaged in the process - having ideas, not having ideas, discovering patterns, making conjectures, constructing examples and counterexamples, devising arguments, and critiquing each other's work.
I don't think that everyone should become a mathematician, but I do believe that many students don't give mathematics a real chance.
But if thought is to become the possession of many, not the privilege of the few, we must have done with fear. It is fear that holds men back - fear lest their cherished beliefs should prove delusions, fear lest the institutions by which they live should prove harmful, fear lest they themselves should prove less worthy of respect than they have supposed themselves to be.
Persistence is probably the single most common quality of high achievers. They simply refuse to give up. They longer you hang in there, the greater the chance that something will happen in your favor. No matter how hard it seems, the longer you persist the more likely your success.
For the trustees to turn away from the entirely reasonable request of the students that a hearing-impaired individual be made president of the college is a very unfortunate expression of insensitivity.
On all levels primary, and secondary and undergraduate - mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man.
Few spirits are made better by the pain and languor of sickness; as few great pilgrims become eminent saints.
Women while in college ought to have the broadest possible education. This college education should be the same as men's, not only because there is but one best education, but because men's and women's effectiveness and happiness and the welfare of the generation to come after them will be vastly increased if their college education has given them the same intellectual training and the same scholarly and moral ideals.
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