how should i learn mathematics

Put in the time.We expect to teach you so much that you need to study, on average,two hours outside of class for every hour of class, minimum.Mathematics is just like anything else. If you want to get good at anything, you have to put in the time working, learning, and continually practicing. Think of it like a sport. You don't get good at basketball by watching basketball. Beginners must practice a lot to get good, and even the best players continue to practice regularly for many hours a week. Research studies show that the thing that differentiates experts from amateurs is not how much they enjoy practicing (they don't; no one likes it), but how willing they are to do itanyway.
Review right away.When you get information sometimes your brain puts it into long-term memory, but mostly it just forgets it. There are two things you can do to tell your brain that you want something to go intolong-termmemory. First,repeat the information many times to yourselfwith intent to remember it.Second,review it shortly after you learn it (after 5-20 minutes, or as soon as possible).Research shows thatimmediate review(right after studying something)increases long-term memory very dramatically compared tothe same amount of review a day ormore later.So if you have a class in the morning, try reviewing your notes immediately afterward, or as soon as you have free time. It will help you remember things.
Don't multitask while studying.Multitasking works for getting simple tasks done, but you can notlearnsomething if your mind is doing several things at once.In order to learn you need to give the material your full attention, and that means ignoring everything else for a block of time. Organize your life so that you do not expect to be electronically interrupted while working. (Don’t text or use Facebook or respond to e-mail when you are studying.) If you cannot commit to doing this, then don't be surprised when you are unable to learn deeply. Learning takes not only effort and time, but also intense concentration.
Work without notes.Try doing assignments without looking at the book, notes, or solution manual. If there is a problem you don’t remember how to do, of course you look in your text or notes to find out how, but with the serious intent torememberhow.Doing without remembering is not learning. If you always do your homework or study with your book and notes open next to you, you will be left with a false feeling of how much you know.
Don't say "I knew that."To learn, you must do the work yourself. Many students watch in class, nod, and think "I would have done that." Many copy the solutions manual or a friend’s work and think "I see how it's done. I can do that." These thoughts are often wrong. Don't kid yourself. The proof of your ability to do it is inyourdoing it byrememberinghow.
Get enough sleep.Research has shown that learning has a passive component. While you are asleep tonight your brain will categorize and file things you "learned" today. At night it makes connections so that you can recall things later.However, you will remember far less tomorrow if you get only five hours of sleep. Get enough sleep.