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Labels: aviation, aviation chatter, flying, flying airplanes, learn to fly
Labels: aviation, aviation chatter, flying, flying airplanes, learn to fly
"When we learn a new skill, initially we simply follow the rules in a mechanical fashion. Then, with practice, we gradually become better, and as our performance improves, our understanding grows. Think, for example, of the progression involved in learning to play chess, to play tennis, to ski, to drive a car, to play a musical instrument, to play a video game, etc. We start by following rules in a fairly mechanical fashion. Then, after a while, we are able to follow the rules proficiently. Then, some time later, we are able to apply the rules automatically and fluently. And eventually we achieve mastery and understanding. The same progression works for mathematics, only in this case, as mathematics is constructed and carried out using our language capacity, the initial rule-following stuff is primarily cognitive-linguistic."This approach is contradictory to my current method for studying mathematics (or any skill). Instead of seeking to fully understand a topic, perhaps it is more efficient to work problems in a mechanical fashion, slowly building understanding with time and practice.
black [1]Maynard's mathematical musings don't end there. Drummer Danny Carey also plays the sequence ranging from one to thirteen throughout the song.
then [1]
white are [2]
all I see [3]
in my infancy [5]
red and yellow then came to be [8]
reaching out to me [5]
lets me see [3]
there is [2]
so [1]
much [1]
more and [2]
beckons me [3]
to look through to these [5]
infinite possibilities [8]
as below so above and beyond I imagine [13]
drawn outside the lines of reason [8]
push the envelope [5]
watch it bend [3]