I had been able to play Méditation from Thaïs last year, but recently I have been focused more on Bach Chaconne and Czardas and forgot about it. I don't believe I'm necessarily "talented" from when I started, but that may be a factor. For me, though, I have gotten much better through sheer hard work and practice.
That could be different for other high level kids, though, they could have just been naturally talented and didn't need to work hard. They could also have been an average player but worked really hard to get to where they want. Everyone's different.
One might phrase it as, "All children are talented, but some children are more talented than others"...
He was well on his way to working on the major Romantic rep by the ripe old age of 12. There's definitely value in evaluating the most effective practice techniques, especially given limited time and mental focus that is more endemic in adults than young prodigies, but Nathan Cole was already a very good violinist by the time he hit conservatory.
Yes! And I believe the successful student is the one who will do this with a combination of sensitivity and a thoroughly scientific (or at least systematic) approach to exploration of the myriad parameters and their mutual relationships.
Just two days ago I was re-reading a passage in Fischer's book "The Violin Lesson" and I was somehow very struck by the section on listening. For the curious, it's at the top of p. 57. I just thought to myself, "Sure, I have weaknesses in physical skill that will take time to overcome, but listening better is something I should be able to do right now." So at my next practice I took a step back to two of my all-time favorite studies (K8 and K10) to work on listening better. I think it's going to bear fruit for me.
-Practicing "beginner's mind" helps us to hear new things to practice in the things we've been doing for years, like scales and arpeggios.
-Letting relaxation underlie everything we do encourages not only economy, but the attitude and lack of tension that allows us to have confidence in our learned movements, and above all, an emerging relaxed sound (because I think you can hear tension in someone's playing). Keeping relaxation in mind also helps to get through the times when new movements feel ungainly, until they become more and more relaxed with mindful repetition.
-Letting the sound you want guide your hands means seeing technical considerations as merely a means to an end, and allows us to develop our imagination for what we want to express.
All of these factors encourage us to drop the technical solutions that are not universal, and not get tied into knots trying to imitate the idiosyncrasies of great players, and instead develop our own particular idiosyncrasies.
Those who can meet with a teacher twice or more a week have huge advantages.
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Beyond that, despite what Suzuki said, there are kids who are just naturally gifted in a variety of ways. You can nurture these skills but some are just better than others with them. The ways that help with violin include high-level fine motor skills, ability to memorize, high pitch sense (ie perfect pitch +), and high level of focus or determination.
There have been some interesting studies on child violin prodigies that show a large percentage were pushed really hard and peaked in early adolescence, and then burned out.