Perhaps I'm mistaken but I don't believe he advocated doing the 3,000 repetitions during one practice session. I think it would be reasonable to do 3 to 5 racks (45 to 75 shots) per day. At 75 shots per day, it would take 40 days to complete 3,000.
I also agree with Scott. I believe if you did 20 repetitions per day, taking your time and with full focus, it would help a lot. Taking your time and full focus means going through your PSR and approaching each shot as if it were to win a game/match. Stepping up and blasting 50 to 100 shots per day in a sloppy manner is likely to cause more harm than it is to yield good results as you would be teaching yourself bad habits.
No, that's not what he recommends, nor is it how he did it on the video. You just line them up and stroke them in, rapid fire. No playing, no league, no nuttin' until you accomplish your goal. He actually recommends not doing this until your playing commitments are done so they won't interfere with each other (Barton, you still gots plenty of time

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Just fill up the pocket, walk over and shoot them back in the the pocket you were just shooting from. Go back and forth until you're dizzy, take a rest and do some more. The whole idea of excercises like these are to get you to finally just let go and let your own personal stroke that's been hiding in there all that time to finally come out. Mine was buried in there for almost 50 years.
Look, I just went down and ran 70 of them in a timed 5 minutes. Really, how long would a couple thousand or so take? I just use the stripe balls. Take a second to line it up so the stripe is vertical so you can instantly see if you're hitting the ball off center. Or put spin on the ball and groove your aim to account for deflection. I shot about 7 center, 7 right side, 7 left, etc. Don't stand there and fret about hitting the CB dead center, the ball tells you where you hit it while it's rolling and you gradually learn to adjust everything. Just keep stroking them in without thinking at all.
The last several sets of 7 I mixed it up with spin and speed, and hitting left, right or center pocket. The beauty of it is that every one goes, so you get that satisfying "thump" with every stroke. OK... I actually missed a couple that I really opened up my stroke and drilled in, but they rattled hard anyway, so that was satisfying in a weird way.
When my daughter was 7 we started her on violin. I used the Suzuki excercises with her at home because they are carefully designed to mindlessly put the kid through tens of thousands of repetitive bow strokes without them getting bored with it. After a year (and millions of bow strokes) her teacher asked if I thought I could come up with the money to send her to Japan for the big Suzuki convention. Yes, she was that good at seven, the best student the teacher ever had at that age, and she said that included her own kids, one of which one studying violin at Julliard and the other at New England Conservatory.
And my kid probably had no more musical talent than the average kid her age.
Repetiton WORKS, simple as that, even for adults. Especially for adults (kids are still plastic and can learn many ways). Just gotta put your mind to it and your chin to the stick and get 'er done.
