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this post was submitted on 16 Jun 2024
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What you provide as an example isn't quite what is called an educated guess, more like the ability to subitize and estimate well. Those skills are more likely to be improved only with experience and the teacher would not be able to help hone them really.
With what you said about visualizing and feeling what an answer could be, I would expect there to be some form of synergy between your ability to grasp the formulae and the mentioned ability to estimate things. With this the teacher could have helped by teaching you properties and basics about different formulae, but the problem with that approach is that you will at some point stumble upon a limitation of what can be guessed and will likely not know about it.
Actually that is sort of what happend in the end of my school career
I always understood the underlaying logic so i never needed to learn that. But then sin cos and tan happend and for some reason i don’t understand them.
I have been able to memorize their formulas on multiple occasions but i start mixing them up in less then a minute every time, i swear its actually ridiculous how inept i am at memorizing and not mixing stuff up even with mnemonics.
I had to hand in an exam with half the pages unanswered. Twice. I wad lucky the first time because the half I did was without error and worth more then 50%. The second time, not so much and i had to defend my non existent answer before a jury.
Yesterday i learned more about algebraic topology out of curiosity, i also dabble with statistical analysis and frequently use all kinds of math in programming.
Just a minute ago i looked for a simple explanation what sin cos tan are about and its stil the same, and i know its supposedlyJust hightail school level but i don’t understand what they are for at all it makes me nervous its my Achilles' heel of math.