Learn to play all major and minor scales without looking at your hands. Also develop the ability to play cadences in all key signatures, major and minor, again, without looking down at your hands. When you have accomplished this, send me a private message, and I will instruct you further.
Even though I don't question the effectiveness of this method, I also must warn anyone who tries to learn a very demanding piece like Moonlight III too early: the intense repetition of the same phrase/bar over and over again can lead to serious injuries. So, if you cannot master a certain section after a reasonable number of repetitions, it is wise to put it aside for a while and practice other things that will improve your experience and technique. I mean, everyone can probably learn to play anything if they are just stubborn enough and have enough stamina, but what if you pay the price of getting tendonitis, carpal tunnel syndrome and various inflammations in your muscles? That could, in worst case, ruin your whole future as a pianist. I suggest that you mix new pieces with old ones that you can play with ease. Start every session with the "new" project - and end the session the same way, with a VERY SLOW run through that new piece, or a part of that piece. Try to play it perfectly - if you cannot, you must play even slower. Let the memory of that "perfect" run-through be what you take with you when you leave the piano, and so it will be there next time you return. I assume you can read music - OK, then read the music. Read the music a lot of times before you even go to the piano and try to play for the first time. Imagine the keyboard while you read, image yourself playing, and plan how you will move your fingers. This preparation job is not very fun, but it pays off. You can tap your fingers against a hard surface so that you get a good idea of the rythm. This will improve your sight-reading as well. If the piece is not very easy, you must start playing, for real, with hands separated. If you cannot play a section fast and flawlessly with ONE hand, you will not do it better with two! This might also seem tedious and time-consuming, but at the end you will see that you learned faster this way.
They build up strength and technique during a long period of practicing. "Building up" is the keyword here. As everybody knows, you often use unnecessary muscle tension and movements when you do something you are not used to - for example, when you as a beginner start to play pieces that are far too difficult for your level. A more experienced and trained pianist will play in a more relaxed and effective way, thus avoiding fatigue.
What are candeces? I have been having piano lessons for 8 years and my teacher has never told me about candeces unless we have been doing them but calling them a different name. Now that I have come across them on here, when I go back to my lessons after the holidays I am going to ask my teacher about them and if they are relevant to what I do because I take exams and in the exam books we have to do scales and arpeggios etc and broken chords but there is absoutely NO mention of candeces and my teacher has never mentioned them so I had no idea about them before reading about them here. Perhaps candeces are for more advanced exams so my teacher did not want to overload me with stuff too advanced? I am doing Grade 4 exam and perhaps candeces will be introduced on the higher exams who knows but if candeces are an important part of piano technology why am I not being taught to play them now? The people who write the piano exams must know what they are doing and so if candeces are not introduced as part of the exam syllabus for the exams I have done and am currently doing, then candeces are not something that is compulsory to learn???