Originally Posted by Jen4103
perhaps you could use email, Skype, or FaceTime.

OP, you have answered your own question. This is the age of the internet - a really poor and motivated gifted student just needs to get on google to reach an unlimited array of resources that were never heard of even 10 years ago. Just one example would be MIT Open Courseware. I met an underprivileged 14 year old recently who is a Python programming whizkid with plans to get into Stanford - all the coding and projects and mentoring he has received was done on the internet.
There are public libraries and smart phones with internet access even to the poor people. So, the situation is not as sad as you think.