However, many parents often struggle to find employment here, resulting in one of them, usually the father, returning to Korea to work - a phenomenon known as "astronaut parenting" - leaving the mothers behind to care for the children.
"Within the framework of New Zealand Korean society, it can be quite hard for young Koreans to find a decent role model, especially when quite a high number are growing up even without their fathers here," Mr Yi said. "The hakwon provides tuition in high school core subjects, but what we try to do is to provide mentoring after each class."
Mentoring is by teachers and volunteers who came to New Zealand as students and grew up here. Topics include traditional Korean values like respect and filial piety.
"The whole idea of this hakwon is also to help high school kids know themselves better and learn about what's going to come their way in the next 10 years," he said.
Mr Yi came to Auckland with his parents when he was 8 years old, and says he regards himself as "totally Korean and also totally Kiwi".
"We tell these students they have to strive to be 100 per cent Kiwi as well as 100 per cent Korean, so that when we talk about the All Blacks they know about the history and when we talk about Treaty issues, they know about that too," Mr Yi said.
"But they can bring their Korean-ness to the table, so that they're not just yellow on the outside and white on the inside. You don't want to be 50-50, but fully Kiwi and fully Korean."