[To all the teachers out there: sorry if you disagree]
If you've ever been to a math class, and you have a teacher, then you will hear this DREADFUL quote: "SHOW YOUR WORK!" Teachers always say this, to I guess "solidify the concepts" and to "minimize cheating", but is this fair to everyone? Sure, some people don't know 2 by 2, or take e by the square root factorial infinity to the power of 3, but how about people who do? Does this mean they HAVE to show their work, or can they keep showing what they ALREADY know? In most cases, yes. This means that those students who are "gifted" will get accustomed to normal work, and forget the mental process. This problem isn't limited to only those "geniuses" out there, too. It also applies to the bad students there, too. When it's test time, work that they should have in head should isn't there--no one taught them the mental math. Sure, you think of "the cheaters" and the "grouped" kids, but guess what? Mental math helps more than pen and paper day after day after day--in fact, it may help eliminate cheating, as they already know the concept! The question I ask, to all teachers, is: Would you be willing to sacrifice a few weeks of no work for a whole year of good marks, better mental learners, and less confusion? I think so. Which is why, dear Paint, students shouldn't have to show work ALREADY KNOWING the concept. Thank you.
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P.S. Sorry for not being on IMMEDIATELY, with this Work-From-Home stuff I was busy. I'll try to be on more...writing on 3DS is a pain. (Actually got message asking if I was still here lol)
Man, wait 'till you bash your head against integrals and partial differentials...
You can not, by any means, do that stuff mentally. It's usually faster and easier to keep track of things on paper, too. Even something as simple as solving a quadratic equation in your head is prone to errors. Not so much on paper.
Also, if you're messing up on paper, then the teacher can identify what's wrong if you write it down on paper. Same thing with standardized tests: if you write down your process and get the wrong answer, they'll still usually give points out if you followed the process for the most part. Some points are given only for the process.
Granted, basic arithmetic should be spared. If it's all constants, just slap it into a calculator already. No need for work.
By @Smackaroni69
@GuiedGui
