Strengthening is a key aspect of rehabilitation for shin splints to progressively load your muscles and adequately prepare them for running increased distances. Furthermore, building your running distance/intensity over time will help progressively load and condition them, thus reducing the risk of re-aggravation. Running at high intensities/longer distances immediately after a long period of rest will risk further irritation.
Having a biomechanical assessment with a Physiotherapist/Podiatrist would also be beneficial to help discuss appropriate footwear and any further intervention such as orthotics to assist with your running mechanics.
Please see the attached videos for examples of exercises and progressions. These will assist with strengthening the tibialis posterior, gastrocnemius and soleus muscles.
