Something I picked up from a track buddy that pretty much cured any shin splints I was having. They are called "Toe Tappers"
Sit in a hard chair, or anything to keep your back straight.
Bring your legs in parallel with your shoulders, so your knees are both pointing forward. This is a normal and relaxed sitting position.
Move your feet close together, and keep them parallel. Ensure that your heels are slightly behind your knees.
Keep your heels on the ground and alternate lifting your toes.
After about ten reps apiece you should feel the muscles in the front of your lower leg, on the outsides, moving and starting to burn.
Do this until you cannot stand it anymore. FEEL THE BURN BABY!
After about 50 reps you should have a good burn going. This strengthens the muscles in your shins. You can do this anywhere you can sit down.
Several times a day, every day. Let me know if this helps or if you need clarification.
Piece,
SZ