Learning in lumps or layers or waves or particles
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<< Now, I KNOW now that math can be learned all at one time and not in
layers,
Math cannot be learned all at one time.
Math isn't learned in layers.
Math is like a language, an intelligence, a way of seeing the patterns in the
world, not just of numbers, but of shapes, and sounds and the repeating
rhythms in birdsongs or woodpeckers.
School-style mathematics is a system of notation for all that, and some
tricks for doing calculations on paper. Rarely do they help people figure
out how to decide what numbers need to be calculated in what way to determine
something, they just teach pre-set-up calculating.
I don't think math comes in waves. I think it comes in little bursts of
understanding, little tiny particles of questions and discovery and of
filling in one more little piece in a puzzle without edges, without the
flatness of being on one plane, and one-sided like regular jigsaw puzzles,
but some pieces in the past, and some in the future; some theoretical or
imagined and some you could weigh or measure at home; some funny and some
beautiful.
Each little dot of information can sit for a second or a year before a new
dot connects to it. Some new dots of information might connect to two or
twenty existing pieces of The Big Puzzle.
"It's either a dog, or it's a hippopotamus."
Not good math.
Not good logic.
The vast majority of things in the universe do not resemble a dog OR a hippo
in the least little way.
Sandra
layers,
> it doesn't concern me, >>I just noticed that when someone else quoted it.
Math cannot be learned all at one time.
Math isn't learned in layers.
Math is like a language, an intelligence, a way of seeing the patterns in the
world, not just of numbers, but of shapes, and sounds and the repeating
rhythms in birdsongs or woodpeckers.
School-style mathematics is a system of notation for all that, and some
tricks for doing calculations on paper. Rarely do they help people figure
out how to decide what numbers need to be calculated in what way to determine
something, they just teach pre-set-up calculating.
I don't think math comes in waves. I think it comes in little bursts of
understanding, little tiny particles of questions and discovery and of
filling in one more little piece in a puzzle without edges, without the
flatness of being on one plane, and one-sided like regular jigsaw puzzles,
but some pieces in the past, and some in the future; some theoretical or
imagined and some you could weigh or measure at home; some funny and some
beautiful.
Each little dot of information can sit for a second or a year before a new
dot connects to it. Some new dots of information might connect to two or
twenty existing pieces of The Big Puzzle.
"It's either a dog, or it's a hippopotamus."
Not good math.
Not good logic.
The vast majority of things in the universe do not resemble a dog OR a hippo
in the least little way.
Sandra