My sister has taught English in Korea though a Korean government program. She loved it. Also, she is 100% Korean, but my dad did a step-parent adoption when she was a teen so she is an American Citizen. She never told any of the children that Korean was her first language because she didn't want to to try speaking Korean to them in the English language class. She also got several extension beyond the normal timeline they allow you to teach. Some only allow you to do two years. She had several extensions. She returned to the U.S. but is back in Korea again and from I heard, she was offered another teaching job, but I don't know under which program. I will have to ask my dad when he calls next week (who is back living in Korea too).
I know many that have taught English in Korea and Japan.
There is a website where you can find jobs called Dave's ESL Cafe. My dad used Dave's ESL Cafe to research jobs for my sister. Some of the non-government program you have to be careful. I know a British teacher that was sexually harassed at a Korean hagwon program so she changed to a Christian private school that paid less but she was treated better.
My sister only had her associates at the time so she taught through a program called TaLK, if you have a four year degree then you can go for the EPIK program.
Teach and Learn in Korea (TaLK) Korean government ran program
http://www.talk.go.kr
English Program in Korea (EPIK) Korean government ran program
http://www.epik.go.kr
I found this on the EPIK website:
- Those who have a teaching license, B.Ed., M.Ed., or majored in Teaching, TESOL, Second Language Studies, or any forms of Education (Physical Education, Math Education, etc.) are not required to have a TEFL/TESOL/CELTA certificate.
You might want to look at a DoDDS school which is an American school on military bases overseas. My older boys attended Seoul American Elementary School and it was a great school!
https://www.dodea.edu/
Dave's ESL Cafe
http://www.eslcafe.com
Dave's ESL Cafe also has forums that you and read and post questions.
I would also look at private schools that Embassy kids go to like:
Seoul Foreign School
https://www.seoulforeign.org/
Seoul International School
https://siskorea.org/
I have a friend who moved from Tampa to Australia and her kids attended the Sydney Japanese International School until they moved to their high school grades. They loved it!
I do think most of the private international school use more of a British curriculum over American, so that is a good question to investigate on schools you might be interested in.