My private lesson teacher who has his doctorate degree in percussion teaches his students when they are doing a swing beat in slow to moderate time to bring there stick up on counts 1 and 3 from the right of the cymbal to the left. On counts 2 and 4 hebrings the stick back down to create a rocking pattern. This done to create a flow in the groove. Well during the summer music which is a program where the kids in middle school play in lesson, band, and jazz band. In my jazz combo class the director who plays trumpet told me what the heck am I doing swinging like that. I understand there are many ways to "swing" but I think this is the best way to do it.
Actually, this is a technique used by many drummers when approaching playing rhythms on the ride or even the high-hat. I've seen Mel Lewis, Ed Shaugnessy, Jeff Hamilton and many others play this way on the ride cymbal. I've also seen plenty of rock drummers play straight 8th notes on the high-hat this way, too. There's nothing wrong with it as long as you maintain using good wrist and finger technique as your playing nucleus and are achieving the sound you want to achieve.
I personally use a similar technique to this when playing a jazz ride cymbal pattern at fast tempos (i.e. above bpm = 260). The side-to-side wrist/arm motion helps keep my wrist and finger technique loose, not tightening up and not getting tired as quickly as I would if I kept my arm completely still.
You might want to check with your jazz combo teacher to see if he/she is having a problem with your playing in terms of sound or if he is just having a problem with your technique visually. If the latter, simply explain it is how you are being taught. As long as you sound good, he/she will get over the visual aspect.
Also he yelled at me because he sayed your rock your stick up when doin cross stick. Tell me your opinions on the way I play.
This one I'm not sure I understand what you are describing?? What does he/she mean by "rocking the stick up"
