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|#5 - im in 8th grade.||10/24/2012 on Fucking math||-3|
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|#3 - lol our math books dont have answers in the back of our books.… [+] (10 new replies)||10/24/2012 on Fucking math||-2|
#7 - Sharpy (10/25/2012) [-]
It's honestly much more important to know how you got an answer in college than in high school. A lot of the time in high school you're just pluggin' and chuggin' for the answer, while as in college you're actually learning why the volume of a cylinder is the formula it is. But in college they can make more money off you if you have to buy the book and answer manual separate, so that's exactly what they do.
#8 - billybong (10/25/2012) [-]
Not really, Math is the same at all levels, If you don't know why 2 + 2 = 4, then you'll never be able to work out why 9+9=18, it's all about applying the same principals to different problems
If you are doing high school stuff like... differentiating quadratic polynomials, you need to know how and why to do each step of working, otherwise you'll have the wrong answer. You can't plug and chug as much there, although there are a few rules to follow, and certain scenarios where you can take shortcuts which would be plug and chug
also....I find it really odd, that I covered your college work, in the 7th grade
#10 - billybong (10/26/2012) [-]
Yes we did go over why at the time. There really isn't much to that formula anyway, provided you understand why pi exists, and you know how to work out the area of a circle, then multiplying it by it's height provides the internal volume just like any other regular 3d shape....eg. area of a face of a rectangle, multiplied by it's depth.. which obviously is l*w*h
To understand a mathematical principal, you need to be able to derive it yourself. I didn't say memorize, I said understand.
Or maybe i'm not understanding what you're saying when you say "why it works"
I'll admit, that in physics, we were given a set of formulas with little explanation as to why they work.
But math, every formula was broken down for us and shown to us that it makes complete sense that they are the way they are.
Yes, that was 7th grade,
#11 - Sharpy (10/26/2012) [-]
The equation of a circle is r^2=x^2+y^2, the area of a circle is A=pi(r^2). With calculus using just that equation I can come up with the formula for area without knowing prior what that formula is. Looking at the graph of a circle and figuring out the area is pretty damn easy. What I mean by "why it works" is why does multiplying it's height give the internal volume? Why does plugging in, like I said you were doing, the measurements given work?
#12 - Sharpy (10/26/2012) [-]
I'm talking, usually, about more complex shapes than a simple circle as well. Odd 3D shapes you're able to figure the area out much easier than you could in high school, and you don't need formulas or calculators for any of it really. Except some rather universal formulas such as trig identities and such, but most of those formulas like you said are just shortcuts because you can always calculate out why those are true.
#13 - billybong (10/26/2012) [-]
the only point I was trying to make originally, was that if you don't understand how the mathematical principals work you're going to get the wrong answer, hence why having the answer's available to check your working is important.
It's been a long time since I left high school, and I'm not going to pretend that proving each of those formulas was my favorite part
So I think we agree with each other :)
#14 - Sharpy (10/26/2012) [-]
I think I agree. It's true if you don't know why simple things like distributing work, then you won't be able to understand how to use any information given. Factoring shows easily why something like that works, but then again I don't have the mind of a 7th grader anymore so maybe it's not so simple to them. Basically, if you don't know how to go backwards and forwards completely in an equation you truly don't understand what you did.
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