"In my presentation I... follow the genetic method. The essential idea... is that the order in which knowledge has been acquired by the human race will be a good teacher for its acquisition by the individual. The sciences came in a certain order; an order determined by human interest and inherent difficulty. Mathematics and astronomy were the first sciences really worth the name; later came mechanics, optics, and so on. At each stage of its development the human race has had a certain climate of opinion, a way of looking, conceptually, at the world. The next glimmer of fresh understanding had to grow out of what was already understood. The next move forward, halting shuffle, faltering step, or stride with some confidence, was developed upon how well the [human] race could then walk. As for the human race, so for the human child. But this is not to say that to teach science we must repeat the thousand and one errors of the past, each ill-directed shuffle. It is to say that the sequence in which the major strides forward were made is a good sequence in which to teach them. The genetic method is a guide to, not a substitute for, judgement."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Introduction
https://en.wikiquote.org/wiki/George_P%C3%B3lya
Revision History
No revisions have been submitted for this quote.
Categories
George Pólya
37 quotes on TrueQuotesView all quotes by George Pólya →
Related Quotes
""Groping" and "muddling through" is usually described as a solution by trial and error. ...a series of trials, each o…"
"Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All on…"
"There was a seminar for advanced students in Zürich that I was teaching and von Neumann was in the class. I came to a…"
"Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expres…"
"Euclid's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the c…"
"The best of ideas is hurt by uncritical acceptance and thrives on critical examination."
"We need heuristic reasoning when we construct a strict proof as we need scaffolding when we erect a building."
"Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in…"
"To write and speak correctly is certainly necessary; but it is not sufficient. A derivation correctly presented in th…"
"[M]athematicians and physicists think alike; they are led, and sometimes misled, by the same patterns of ."