Do I need to renew my residency certificate when I get a new education visa stamp in Thailand?

I'm on an education visa. I have received my first residency certificate this morning. It has an expiration date that is identical to my passport stamp. February 13. I understand that I should get a new stamp a day or two before that date and that's that regarding permission to stay in the kingdom.

My question is what about the renewal of the residency certificate. Should I get it renewed when I get a new stamp on the visa? Must I? Or, perhaps ask for one to be issued only when there is a requirement for it?

The reason I had it issued is that it is required for applying for a driving license.

How is the renewal of the residency certificate done? Is it done along with getting a new visa stamp, or does it involve waiting about a month, again (or paying for an expedited service)?

I appreciate the advice!