The individual that I home provide for is doing core strengthening excersises atm. He has progressive ataxia and while nothing will reverse this issue, strengthening his core will help him to recover some of his misteps and help him to stay upright and not fall as much (we hope!).

He does a couple of different excersises. One is lying on your back on the floor, arms by your side with palms down, knees bent. Lift your buttocks off the floor while tightening butt and abdominal muscles. Doing a set of 10 and holding position for 5 seconds inbetween each lift is good to start with.

Another excersise is laying on back on floor, knees bent, tucking chin in, stretching arms towards knees and pulling head/neck/shoulders off of floor. Very similar to situps. Again, set of 10 holding position for 5 seconds good to start with.

Good luck with the core strengthening!