Earlier quoted context omitted.
> The practice of solving problems that you describe is to ingrain/memorize those steps so you don't forget how to apply the procedure correctly Simply memorizing sequences of steps is not how mathematics learning works, otherwise we would not see so much variation in outcomes. Me and Terence Tao on the same exact math training data would not yield two mathematicians of similar skill. While it's true that memorizatio…
> Simply memorizing sequences of steps is not how mathematics learning works, otherwise we would not see so much variation in outcomes Everyone starts by memorizing how to do basic arithmetic on numbers, their multiplication tables and fractions. Only some then advance to understanding why those operations must work as they do. > It's worth noting that for composition, key to abstract reasoning, LLMs failed to genera…
Maybe schools teach by memorization, but my mom taught me by explaining what it means, and I highly recommend this approach (and am a proof by example that humans can learn this way).