This is true. I saw math differently as I related most of it to BASIC programs from 7th grade pre-Algebra onwards. 4x was “for a=1 to 4 : x=x+x : next a” Something like that. I got good math grades up to Calculus but I never absorbed a lot of the underlying assumptions that I was supposed to ‘get’. So I was good at mechanically going through, giving teachers what they wanted and passing tests, but if I couldn’t mentally visualize it in BASIC, it was difficult. I’d since learned other languages of course. But the story of “the broken futon” in this article really spoke to me. Not just for math but for any kind of learning: You can have an expiration date on your abilities and not even know it, all from a faulty notion or lack of any notion and then going through the motions.

This is true. I saw math differently as I related most of it to BASIC programs from 7th grade pre-Algebra onwards.
 
4x was
“for a=1 to 4 : x=x+x : next a”
 
Something like that. I got good math grades up to Calculus but I never absorbed a lot of the underlying assumptions that I was supposed to ‘get’. So I was good at mechanically going through, giving teachers what they wanted and passing tests, but if I couldn’t mentally visualize it in BASIC, it was difficult.
 
I’d since learned other languages of course. But the story of “the broken futon” in this article really spoke to me.
 
Not just for math but for any kind of learning: You can have an expiration date on your abilities and not even know it, all from a faulty notion or lack of any notion and then going through the motions.
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