How to study maths quickly and efficiently?

[JonDrew]

Especially when just about every exercise asks you to prove a theorem or derive a relation not mentioned in the main text.

We already do this all the time in Modern Physics, no significant surprises yet. I really think you guys are on the wrong side of the coin, screencast learning is going to replace the textbook, nobody wants to read about the stuff when they can watch a video explaining it. Yes, its A Lot easier then from the book I know that, but you guys are pretty much telling me to make it hard on myself when it doesn't have to be, for mathematicians/physicist you really have a bad eye for seeing progress when it happens. Like seriously when I discovered youtube my mind was blown wide open, really.

 

[AnTiFreeze3]

As a high school student, I am surrounded by technology. My school has actually, just this year, given our freshman and sophomore students iPads to help their learning. Disregard the fact that I have only seen one person actually using it for something other than games, then this could maybe be beneficial. One of my friends in my AP Physics class actually bought a $40 subscription to a website that has solutions to every problem in our physics book. They are, obviously, helpful if you ever get stuck and need something for reference if you can't figure out your own mistakes. I, myself, own a Kindle Fire (thank you, rich grandparents) that I use to read and do pretty much everything else that it was designed for.

Now, despite all of this, I still take heavy notes in my physics textbook. I actually entirely neglect my school-supplied math textbook, but that's because it's Stewart's pre-calc, so I don't think it would be beneficial if were I to do so anyway. I do, however, read, note, and think about a Calculus textbook that I'm going through, that actually contains legitimite proofs and theorems.

Now, with google, and youtube (which you oddly think of as a useful place), people don't feel the need to actually learn anything, because it's all just a quick search away. Why actually take the time to understand a proof, when you can just watch someone else show how well they understand it themselves?

Technology is meant to supplement our learning, and to be used, ocassionally, as a medium for accessing help (ie. a forum like this one). You are entirely stupid if you think that the future of education is going to be replaced with online videos.

Understanding a video of someone explaining something does NOT mean that you yourself understand it.

I won't try to get you to change the way you approach mathematics, because it appears that you are going to be too stubborn to change your view, after having some of the most brilliant people on this forum try to help you, obviously with no avail. What I will ask of you, however, is for you to not act like you know how to study math, and therefore act as if you have the authority to tell others how they should study math.

 

[Evo]

Thread closed for moderation decision.