The development of romantic music increased in pace with the rise of the virtuoso performer.
A virtuoso performer is one who has the ability to play an instrument beyond the average skill. He or she can perform feat that is uniquely his or her own. Because of this, the virtuoso performer is treated like a "star" and with their gaining popularity so did the romantic music they use gain popularity among the adoring public.
The auther is saying that this is important for kids and parnet because its asking the parnets to make big and important decisions for there kids and what teachers can do to improve the kids