In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide -- a relief from daily life, an anodyne to the practical workaday world.
Paul LockhartStichwörter: fantasy math mathematics
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Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to?
The effect of such a production being made over something so simple is to make people doubt their own intuition. Calling into question the obvious by insisting that it be 'rigorously proved' ... is to say to a student 'Your feelings and ideas are suspect. You need to think and speak our way.
Stichwörter: intuition math mathematics geometry
Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations.
Paul LockhartStichwörter: beauty math mathematics
It is the story that matters not just the ending.
Paul LockhartStichwörter: journey story math mathematics
So how does one go about proving something like this? It's not like being a lawyer, where the goal is to persuade other people; nor is it like a scientist testing a theory. This is a unique art form within the world of rational science. We are trying to craft a "poem of reason" that explains fully and clearly and satisfies the pickiest demands of logic, while at the same time giving us goosebumps.
Paul LockhartStichwörter: reason logic math mathematics
The thing I want you especially to understand is this feeling of divine revelation. I feel that this structure was "out there" all along I just couldn't see it. And now I can! This is really what keeps me in the math game-- the chance that I might glimpse some kind of secret underlying truth, some sort of message from the gods.
Paul LockhartStichwörter: inspiration math mathematics
Most people would have probably lost count around seven. This was, Harry knew
from his extensive reading on logic and arithmetic, the largest number that most people
could visually appreciate. Put seven dots on a page, and most people can take a quick
glance and declare, “Seven.” Switch to eight, and the majority of humanity was lost.
Stichwörter: humanity mathematics numbers 7 seven
College is the grinding machine of the Mathematical Establishment, a conveyor belt that takes individuals from one cookie cutter to another so that the product comes within tight control limits out of the assembly line.
Bill GaedeStichwörter: science education mathematics mathematicians gaede mathematical-physics establishment peer-review
If you can't test it, it's not theorics -- it's metatheorics. A branch of philosophy. So, if you want to think of it this way, our test equipment is what defines the boundary separating theorics from philosophy.
Neal StephensonStichwörter: science philosophy religion mathematics
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I had been to school most all the time, and could spell, and read, and write just a little, and could say the multiplication table up to six times seven is thirty-five, and I don't reckon I could ever get any further than that if I was to live forever. I don't take no stock in mathematics, anyway.
Mark TwainStichwörter: humor education school mathematics
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