Developing a good, strong scale technique is the most important element in piano playing. From it are derived the basic motions and patterns which also apply to arpeggios and irregular passages.
A list of suggested reading
Fingering is a tool for memory, security, speed in learning, and for final mastery. Select fingering carefully. Be consistent!
A parent can hardly expect a child to be musically inclined in an unmusical environment. Having dropped the ball, the public schools offer little or no incentive or exposure for younger children to classical music. However, we have finally learned that
Next time you're scratching your head in confusion after hearing a performance of Lang Lang, or after hearing a performance of someone else who the current population of "they" say is "supposed to be good", you feel empty and musically unfulfilled...