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How do you go about it? And how did you come up with your current learning process?
My method:
My method:
I read the basic texts (I prefer to buy cheap old textbooks and read free on-line sources and then view the thing, having multiple takes on the same subject helped me in the past when I was stuck) with a notebook and copy things down, I strive to to have about a shortened version of the text that I can use months or perhaps years later to refresh my memory or learn the darn thing again.
I do all the exercises and take special care with the having a good hang of proving the basics in several different ways.
I've found that it works best when I integrate this knowledge with other areas , however this can sometimes lead me to backfilling spirals (I realize I need to know lots of other things I didn't know where unknowns) which wastes time.
When I'm done with this I go into grind mode for some time and try and get as many exercises in as I can. The length of the period depends on how "useful" I expect the math to be. When cramming to pass a test for example, I skip the grinde mode. When studying necessary basics, the grind time is about the same length as the basic "study" time in some cases grind time can be as much as ten times long as base revision time.
My overall approach seems to sort of work for someone with either a reasonable amount of self-discipline or a strong love for the subject and a slightly above average IQ (I'm guessing even someone as low as 110 can learn quite a bit of math this way, I've grinded away some reasonable quantity of material relative to my peers despite being by my estimates at best average).
Fast reading also helps since I imagine most people would waste too much time with this approach.
This process evolved over the course of my years at uni, before that I not only had no idea how to study math, I also didn't know how to do real math (despite my delusions to the contrary). Even when I realized this I never formulated a game plan how to address it, I stumbled through by trial and error until I got something that works.
I do all the exercises and take special care with the having a good hang of proving the basics in several different ways.
I've found that it works best when I integrate this knowledge with other areas , however this can sometimes lead me to backfilling spirals (I realize I need to know lots of other things I didn't know where unknowns) which wastes time.
When I'm done with this I go into grind mode for some time and try and get as many exercises in as I can. The length of the period depends on how "useful" I expect the math to be. When cramming to pass a test for example, I skip the grinde mode. When studying necessary basics, the grind time is about the same length as the basic "study" time in some cases grind time can be as much as ten times long as base revision time.
My overall approach seems to sort of work for someone with either a reasonable amount of self-discipline or a strong love for the subject and a slightly above average IQ (I'm guessing even someone as low as 110 can learn quite a bit of math this way, I've grinded away some reasonable quantity of material relative to my peers despite being by my estimates at best average).
Fast reading also helps since I imagine most people would waste too much time with this approach.
This process evolved over the course of my years at uni, before that I not only had no idea how to study math, I also didn't know how to do real math (despite my delusions to the contrary). Even when I realized this I never formulated a game plan how to address it, I stumbled through by trial and error until I got something that works.
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