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So why do we learn mathematics? Essentially, for three reasons: calculation, application, and last, and unfortunately least in terms of the time we give it, inspiration. Mathematics is the science of patterns, and we study it to learn how to think logically, critically and creatively, but too much of the mathematics…
[Kurt D.] Squire has studied middle school kids who played Civ3. He found that some students who were able to spend the hours needed to learn the game began to identify “rules” by which history progressed; rules that apply to such issues as resource allocation, the tradeoff between aggressive military expansion and…
LIBRARIES CHANGE LIVES Declaration for the Right to Libraries In the spirit of the United States Declaration of Independence and the Universal Declaration of Human Rights, we believe that libraries are essential to a democratic society. Every day, in countless communities across our nation and the world, millions of…
If they are going to sink below, then the pressure on the vessel is going to rise as Verne talked about in 20,000 Leagues Under the Sea. If the pressure on the vessel is going to rise, then it's going to collapse unless the pressure within the vessel rises. So the captain is slowly letting the vessel sink into the…
The gameplay itself is extremely open-ended, though it's structured in such a way that you'll have a fairly clear path to follow when you're just starting out. Real life features a great system whereby newbie players will automatically be guided along through the early levels by one or more "parent" characters who…
C is a big language with a lot of features, and it’s easy to get lost in how fun it is. But you can’t really appreciate a feature without knowing what it’s like to do without. So do things with limited resources. Make a binary adder using falling dominoes. Make a functional digital clock with neon bulbs, resistors…
Yu-Gi-Oh! demonstrates how pervasive media technologies in everyday settings integrate the imagination into a wider range of sites of social activity. Far from the shut-in behavior that gave rise to the most familiar forms of antimedia rhetoric, this media mix of children’s popular culture is wired, extroverted, and…
Thank you for your compliment to Esther and to her parents. We do not claim credit for her achievements. She was lucky to be the oldest of six, so we had little time for her and gave her little of our attention. She befitted from our benign neglect. She learned from a young age to choose her own path through life. She…
The progress of the sciences secures the progress of the art of instruction, which again accelerates in its turn that of the sciences; and this reciprocal influence, the action of which is incessantly increased, must be ranked in the number of the most prolific and powerful causes of the improvement of the human race…
I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations. * * * Let us suppose that I am giving a lecture on some system of geometry, such…
The progress of the sciences secures the progress of the art of instruction, which again accelerates in its turn that of the sciences; and this reciprocal influence, the action of which is incessantly increased, must be ranked in the number of the most prolific and powerful causes of the improvement of the human race…
吾嘗終日而思矣，不如須臾之所學也。吾嘗跂而望矣，不如登高之博見也。登高而招，臂非加長也，而見者遠；順風而呼，聲非加疾也，而聞者彰。假輿馬者，非利足也，而致千里；假舟楫者，非能水也，而絕江河。君子生非異也，善假於物也。
君子曰：學不可以已。青、取之於藍，而青於藍；冰、水為之，而寒於水。木直中繩，輮以為輪，其曲中規，雖有槁暴，不復挺者，輮使之然也。故木受繩則直，金就礪則利，君子博學而日參省乎己，則知明而行無過矣。
The physicist is like someone who's watching people playing chess and, after watching a few games, he may have worked out what the moves in the game are. But understanding the rules is just a trivial preliminary on the long route from being a novice to being a grand master. So even if we understand all the laws of…
Scientific observation has established that education is not what the teacher gives; education is a natural process spontaneously carried out by the human individual, and is acquired not by listening to words but by experiences upon the environment. The task of the teacher becomes that of preparing a series of motives…
Lecturing after a fashion is easy enough ; teaching is a very different affair. ... The transmission of ideas from one mind to another, in a simple unequivocal form, is not always easy ; but in teaching, the object is not merely to convey the idea, but to give a lively and lasting impression; something that should not…
The important thing is not so much that every child should be taught, as that every child should have the opportunity of teaching itself. What does it matter if the pupil know a little more or a little less? A boy who leaves school knowing much, but hating his lessons, will soon have forgotten all he ever learned…
If the question were, “What ought to be the next objective in science?” my answer would be the teaching of science to the young, so that when the whole population grew up there would be a far more general background of common sense, based on a knowledge of the real meaning of the scientific method of discovering truth.
An inventor is simply a fellow who doesn't take his education too seriously. You see, from the time a person is six years old until he graduates form college he has to take three or four examinations a year. If he flunks once, he is out. But an inventor is almost always failing. He tries and fails maybe a thousand…
Whether we like it or not, the ultimate goal of every science is to become trivial, to become a well-controlled apparatus for the solution of schoolbook exercises or for practical application in the construction of engines.