Other forms: nontraditionally
Anything that's different from the usual customs or traditions is nontraditional. Riding a unicycle to school is a nontraditional form of transportation.
Tradition is the passing on of beliefs and rules through the generations. People or things that don't follow these traditions, instead inventing new ways of doing things, are nontraditional. Nontraditional schools are different from most — maybe they don't have grades, or have classes open to students of any age. For a long time, jobs like being a doctor or a soldier or a truck driver were considered nontraditional for women, although this has changed somewhat through the years.