I think parents are involved with their children's worlds, I'd almost say by definition.
Just like the parents of a sports prodigy or something similar, who take their child to every meet...
...and put in the effort to develop their child, and the abilities the child has, to the fullest extent of their capabilities.
And to bring attention to it, to present it to others. I think it's similar for deaf children.
And for parents of deaf children, they should feel involved in the same way.
I want to say: should explore their child's culture.
And to participate in that way, and to give their children the opportunity to be a part of that culture.
In their home country, but also internationally. You can also decide to take your child to all kinds of children's activities...
...organized by the EUD, or the WFD, de World Federation or the European Federation.