this post was submitted on 16 Jun 2024
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A teacher mentioned i had a skill for calculated guesses and my first though was “Why aren't you teaching me to hone the skills i am good at rather then forcing me to do it in a way i have an handicap (memory).
Because actually learning will do both. Learning only calculated guesses will only really teach you how to deal with manufactured scenarios. I won't really even serve you much past high school.
I have to disagree. Being able to obtain close enough accurate results without needing to calculate or measure is incredibly useful on a daily basis.
Ever had to pick the right size drill or screwdriver bit out of a mix? Thats the kind of skill this most often relates to.
combined with real measurement it becomes intuitive knowledge to verify my own measurements.
In school i just had to do extra work to be able to write down a formula. I agree thats not useful but i was still practicing the same algebra to do so.
Trying to remember the formulas from my head turned out to be literally impossible for me. I got a diagnosis post education and i may explain why i developed this ability from need to make up for my disability.
Sure.
But if their isn't some human author to your problem, student logic will be way less helpful than logic actually honed by learning how to learn.
What do you mean with a human author? Sorry you actually lost me on this. Student logic is the skill of taking school tests right? Cause outside math i had very low grades.
I rely on the same mathematical logic but the calculation is done intuitive, like a gut feeling. Thats not the “reverse engineering of formulas” i talked about, that i just did because school expected it of me. But it relies on this very useful ability.
As you use math intuitively you become more intuitive at it, honing the ability. School did not provide a platform to do so while it makes you better at normal calculations as well
The example i gave that does best illustrate it is seeing the sizes of things without having to check labels, markings or actually measure. Especially useful for domestic jobs Like hanging up a mirror on the wall. Or when visiting stores like an ikea.
Another term I believe for it is eyeballing it. But i cant see how you think it isn't useful outside of schools. (Pun intended)
I have been outside school for more than 10 years. I use all kinds of mathematical principles on a day to day basis (part of how i perceive the world) but solutions requiring specific formulas pretty much never happens and when it very rarely does happen (i think i used Pythagorean once 2 years ago), i just google it.
Oh its also super useful in video games like Minecraft where you have to do a lot of math but cant be bothered to take a calculator. But video games aint real life so it doesn’t count.
Yes I'm implying student logic is only applicable in contexts where a teacher has laid out a test for you to intuit.
Student logic doesn't apply when you have to come up with a new idea to an actual problem that exists in the real world.
There is value to learning student logic. It shows creativity. It shows a level of understanding of the material and how to be a teacher. But it's not the same as learning the material.
I think my partner has a good dose of this. Excelled at test taking but struggles to live up to expectations post education.
I don't think it’s relevant to what i did, i never have issue generating novel ideal to successfully tackle a problem and i spend a fair amount on coding which requires good problem solving.
If annoying i had a problem with understanding the default solution so i had no choice then come up with a new one using my logic. But at that point it really is just called autism.
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.