sam2012 wrote:Thanks v much Ron.. I will be starting my prep soon.
Just to cross check how should one get take aways

this is the primary problem: you are approaching this task as though absolutely everything has to be handed to you by some external authority, even things like "how to get takeaways". it's almost as though you are not an active participant in this learning process at all! that's not a good thing.

here's an analogy:
let's say you are cooking some food in the kitchen, and you cut your finger (on a can lid, on a knife, whatever).
in this kind of situation, you clearly don't have to sit around and wait for some external authority to come dictate a lesson to you.
* next time, you will notice some sort of CLUE/STIMULUS (another can lid, or another knife, or some new sharp object that bears only a vague resemblance to these but that you will nonetheless recognize as posing the same danger).
* next time, you will have some sort of REACTION to that stimulus that you wouldn't have had before learning about it (cut things in a different way, lift the lid at a different angle, or whatever else).
etc.
this is the process of learning. notice the following:
- it involves no rote memorization at all
- it is wonderfully flexible and adaptable (after you cut your finger on a knife, you won't just be more careful with knives -- you will naturally generalize the lesson to other sharp objects.)

this is a universal human process; if it weren't, then people would be in for a whole lot of hurt in their lives. (imagine how much it would suck if you had to cut yourself separately on every different sharp object to learn to beware of it.)

the secret here is to think about math errors in the same way you would think about cutting yourself in the kitchen. the main point, of course, is that you can't keep looking to external sources for your takeaways; that's simply not sustainable. the learning process has to happen inside your head, not mine.