My dad won't allow my mom to go square dancing How can I persuade my dad?

You first go and ask to understand the reason why your dad does not agree. Then you can persuade.

We still have the old lady's uncle in the community here, specializing in helping to mediate such family disputes. I don't know if there are any in your area, so you can go to the neighborhood committee and ask.

First of all, comfort your mom, tell her that dad just can't accept it for a while, tell her not to be angry, you will slowly persuade dad.