The first lessons are generally devoted to developing the fundamentals of a solid piano technique which I believe lies in an arm weight method. I actually have my students, at least in the beginning, practice supporting each finger on top of the piano practice transferring the weight to the next before playing on the piano. Once this is achieved, a beautiful tone can result. I also recommend a lot of double note practice and again, supporting the weight of each pair of notes. Some students naturally have this and some don't, but I believe it can be taught. My conclusion is that, without it, you can become good, but never achieve the highest levels that many pianists in competitions exhibit. I also have students clap the rhythm with emphasis on the expansion of the arms during the rests which I feel is essential for presenting pauses in music without seeming mechanical.