Most Korean cities now offer free, government-sponsored Korean language classes for foreigners. They also began to extend legal protection to migrant mothers, specifically in the case of divorce, while also making it easier for migrant mothers to gain Korean citizenship.
As the same time, there has been increasing acceptance of other cultural identities in Korea at large. Public awareness campaigns and "foreigner" support groups have helped to change the perception of Koreans towards outsiders. In my own county, I can see increased outreach and support for migrant mothers. For instance, my school recently started a program for some migrant mothers to teach Vietnamese to students after school. This not only gives them an opportunity for employment, but a chance to share their culture as well.
There is still a lot that needs to be done to support these mothers and their families. Many still face discrimination or face financial difficulties, especially if something happens to the Korean father. There has recently been a growing need for Korean-as-a-Second Language for young migrant children as well. With growing awareness and public support for these families, though, I am confident that Korea will continue to make progress in helping these families, and become more accepting of its growing diversity.