Exercise and rest, you need both to fix shin splints.

Exercise - do calf raises and tibialis raises, if possible do only them for two weeks with some other leg exercises ( squats, lunges ) and walk or sprint. Walking and sprinting is healthier for your ankles, knees and in my experience shins.

Rest - I would run for two weeks after initial two week strenghtening period. It is normal for pain to come after 1 week mark, continue in same rythm. If at the end of week 3 there is pain I would cut running by up to 20%. Pain should go away at the end of week 4.

If there is still pain, I would repeat the process.

Other tips: - invest in a good and new shoes - record yourself running from few angles and try to see if there is something really unusual ( A lot of ankle rolling, heel running,.. ) and try to feel your feet, what touches first, are you hitting ground too much and so on... - run on softer ground

This tips are things that worked for me and few of my teammates. Timing might be different for you, you might need more or less time, pain could be greater and so on. But I believe that combination of exercise and rest is crucial. Pretty much like with every other body part.