I do not know of a stability program, but I do know how I would tackle this problem:

- Define muscles you want strengthened (probably erector spinae, rectus abdominis, obliquus externus abdominis)

- Find exercises which have the highest activation of those muscles (find them composed here: http://suppversity.blogspot.ch/2011/07/suppversity-emg-series-rectus-abdominis.html or here http://www.t-nation.com/free_online_article/sports_body_training_performance/inside_the_muscles_best_back_and_biceps_exercises and here http://www.t-nation.com/testosterone-magazine-627)

- Choose which exercises would be most beneficial, perhaps focus more on static exercises than dynamic

- Try to fit them into your lessons. (Think of who are the participants, what knowledge do they have, what skills, how much time do you have, which tools, ...)

And if all this should fail - it should not, mind you - ask a personal trainer.

I advise the TRX, watch the video:

http://www.youtube.com/watch?v=Gagl23KZs0U

in my opinion is the best method, and the concept is very interesting.

Best regards

Why not try Pilates....

I guess it depends upon what you mean by core stability. Spinal stability is provided by the spinal ligaments unless there has been some disk damage. Absent that, If you mean those deep core muscles are balanced, coordinated, and actually used in normal tasks I would agree that it is important to overall well-being and injury prevention.

I believe that core fitness and balance is more important than the specific strength of the individual core muscles. Most peoples core muscles are adequately strong for everyday activities since they do one sit-up every day when getting out of bed. What those muscles lack is an aerobic capability and "functional fitness". We have found that exercise with independent bicycle cranks greatly improve core fitness because they train the hip flexor muscles (the iliopsoas) to be the aerobic equivalent to the anti-gravity muscles in a functionally coordinate fashion (similar to running). When people train with them many complaints they used to have (e.g., back pain while riding their bike) seem to magically go away. In the interest of full disclosure I make and sell such a product but I am also trained as a physician which helps explain why I might understand some of this beyond trying to "sell" my product). My product gets lots of anecdotal positive stories coming from users and I believe what we see has a strong physiological basis. Other methods probably have similar stories. As far as I know nothing in this area has withstood scientific scrutiny.

Anyhow, one of the real issues here is one of how to evaluate this stuff, correlate findings with symptoms, and then finding effective treatment. I relate my anecdotal experience and thoughts. Good luck.