Where there is no teacher
If you can't afford one-on-one lessons, there are things you can do on your own to learn. However, you aren't going to learn as fast. You need to push yourself a little bit further, constantly. You need to stay focused on your goals. You need to give yourself feedback, keeping in mind that often only one or two things are wrong: look for the one thing you need to fix. You need to address that problem, adjust your mental representation, and keep going. You have to stay motivated.
Get out of your comfort zone
You won't improve if you just practice at the same level, but it's hard to make yourself leave your comfort zone. It's not fun! This is one place where having a teacher helps. One of the teacher's jobs is to ask questions/set tasks for the student that are not always easy to complete. They should be just outside the comfort zone of the student so that they are not a huge step forward that looks impossible; just baby steps up the ladder to improvement.
The biggest factor that determines how good you will get at something, is your motivation. You can find ways and reasons to keep going; or make it harder to quit :-) It's hard to stay motivated as you pursue a goal. Most of the time, it's a long slog of practicing, and practicing is often not fun. You are pushing out of your comfort zone, trying things that are a bit too hard, and working on improving your technique. SO...figure out what kind of reward makes you keep going, and give yourself little rewards when you accomplish small goals towards your big goal.
Make it harder to quit by putting a time into your schedule where you practice. Don't just say, "oh, I will practice sometime today" and let it slide. Make the sessions short, do the work, and stop. Believe in your ability to reach your goals. Look at someone successful: that's a great example of someone who didn't give up! You can do the same thing.
Get your friends involved
One of the best ways to stay motivated, is to do your practice in a group. You can get feedback from the other people, borrow their training tips, watch them for new ideas, and stay focused on your goals.
Find ways to get through barriers
Everyone hits roadblocks in their training. When you get stuck, look at the problem a different way. Try a different exercise, dance with a different partner, go to a different event, take a private lesson--whatever you need to do to get back on track. There will always be barriers, and it's just a question of overcoming it.
Let your motivation get you through being stuck. Pick what motivates you, and use to so that you don't give up when you hit a roadblock on the way to your goal. For example, if I meet my running goal for the week, I get to buy a gluten-free pastry at the bakery. It keeps me running, and my overall health improves.
This is what I am implementing even more than I did before I read this book. According to the book, "A mental representation is a mental structure that corresponds to an object, a collection of information, or anything else, concrete or abstract, that the brain is thinking about" (p. 58). Mental representations hold a lot of information, but in chunks of data. This helps your brain process/apply information more quickly.
As your skills improve, you refine your mental representation. You try things, fail at them, redraw your mental representation, and try again. You get better at evaluating your performance, comparing it to your representation and giving yourself feedback and corrections.
One of the last things the authors note in their book: we don't know enough about mental representation in training, and that studying how top performers in a field work through their mental representations might allow coaches, researchers and learners, to tailor training to include how to improve these mental models. Verbally building these representations, explaining what you understand, should help your teachers guide the construction of your mental representation, and speed up your learning.
The big take-aways
Talent only helps the process get started
Ericsson's research shows that natural talent is not the THE key to becoming one of the best in the world at something. It helps in the beginning, as kids who seem talented at something may be steered into a path, but that doesn't mean they will be better in the long run: ". . . there is no evidence that any genetically determined abilities play a role in deciding who will be among the best." (p. 235)
Everyone has potential
Hard work, good coaching and focused, deliberate practice make the difference, not talent. The ones who get to the top work harder that other people and have more motivation. They didn't quit when they hit a plateau.
For me, I have always said that everyone is a dancer; some people just don't know it yet. Look for potential, not limits! The only person who won't be good at something, is the one who has given up. That means ALL OF US could be amazing tango dancers, top in the world. Even if we don't aspire to that, we can up our game through deliberate practice. Get inspired!!