I'm just back from a week in New Orleans studying and being coached on the great music of pre 1930 Jazz. I went as a drummer.
I concur with the instructors that the key to mastering this music is to spend 80% to 90% of your practice time listening and playing along with recordings. Forget the books, go to YouTube, and start copying. Second, find musicians to play with and start playing. You can find the chords online easily enough.
Now the other 10% to 20% of your time should be spent on the techniques of instrument proficiency: ear training, theory, scales, chords, arpeggios, sight-reading, written repertoire, and jazz history.
Lastly, get in front of expert musicians occasionally for inspiration and feedback.
updated August 2022
You've got to learn your instrument. Then, you practice, practice, practice. And then, when you finally get up there on the bandstand, forget all that and just wail.
I'm a professional pianist and music educator in West Toronto Ontario. I'm also a devoted percussionist and drum teacher.