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“If you never play a song, you're not going to be real fond of your piano lessons….” — John Allen Paulos on why rote problem solving doesn’t unlock the playful nature of mathematics… Full episode: https://www.youtube.com/watch?v=fExWBy3FlGE&t=279s
John Allen Paulos draws a parallel between learning mathematics and music, emphasizing that rote learning, like merely diagramming sentences in English class, fails to cultivate a genuine appreciation for the subject. He argues that just as playing songs on a piano fosters a love for music, engaging with the playful aspects of mathematics is essential for truly understanding and enjoying the discipline.
"imagine you're in English class in middle school high school and all you ever did was diagram sentences you would have a real teen appreciation for English literature when you got the college so findi..."