The total number of international students enrolled in the United States climbed significantly in the last academic year for the first time since 2001-2. As for American students studying abroad, the number increased by 8.5 percent to 223,534 in 2005-6, with short-term programs and study in non-traditional destinations outside Europe particularly hot growth areas, according to the Institute of International Educationâ??s annual Open Doors report, released today.