My parent comment is especially jarring because Feynman's findings agree with, and propose a mechanism for, the findings of the study. The comment seems to imply that there's some great tension between "arithmetic skills do not transfer between applied and academic mathematics" and "the students had memorized everything, but they didn’t know what anything meant". Or between "These findings highlight the importance of educational curricula that bridge the gap between intuitive and formal maths" and the less academically worded "There, have you got science? No! You have only told what a word means in terms of other words. You haven’t told anything about nature."
Nobody's quoting Feynman "as a counterpoint to actual authorities". Feynman's excerpt provides first-hand testimony from a teacher on the front lines that fully validates what the study found.
Nobody's quoting Feynman "as a counterpoint to actual authorities". Feynman's excerpt provides first-hand testimony from a teacher on the front lines that fully validates what the study found.