AX 2012 CRM Connector and the Country field

I am working on a project where the CRM Connector is used to syncronize AX 2012 with CRM 2015.

I have to solve a problem where Country on customers is not synchronized as required. When syncing from AX to CRM, the CRM record ends up with the Country/Region ID (e.g. DNK) and not the name of the country ("Denmark").

How do I fix that, so the CRM record has the country name, and is able to synk back with the ID?

Please bear in mind that I don't have any previous experience with the connector.