Would you provide treatment dosing anti-coagulation for a pediatric patient who had an ischemic stroke and was found to have a heterozygous prothrombin gene mutation?  

For sure, although it would be important to try to ascertain what kind of stroke this was: hemorrhagic? Thrombotic? Arterial? Precipitating factors? Anticoagulation is clear cut for VTE but not so much for the other types.