The simply worded story concerns Kim, a Korean five year old who is brought to this country to be adopted by an American family. The large black and white photographs follow her through the first steps at her new home, her school and her naturalization ceremony. Kim, her parents, grandparents and brothers make handsome subjects for the photographer, Alan D. Haas. The text, which is a little overlong, is warm. In describing the reassurance that Kim needs, the book may prove to be equally reassuring to readers who are also adopted children. An afterword by the director of ""Welcome House"" describes the activities and the concerns of the society which finds homes for Asian-American children.