Approaches to cooperation between colleges and schools in serving students capable of advanced work are examined. Two major ways of serving bright high school students within their own schools in coordination with colleges are: programs developed by individual colleges with particular high schools, and the College Board's Advanced Placement (AP) program. A notable example of a program developed by an individual college is the Syracuse University Project Advance. The College Board distributes its curriculum materials to high schools that wish to participate in the AP program. The quality of the high school offerings is safeguarded through nationally developed tests in any given discipline that are taken by participating high school students. Data on student participation in the AP program and migration patterns of AP candidates as they go to college are examined by states. Many colleges award sophomore status to high school students who present qualifying grades in enough AP examinations. Courses, institutes, or seminars on college campuses open to high school (and sometimes younger) students represent another approach to serving the needs of bright youths. Some programs are noncredit enrichment efforts, while others award regular college credits. Joint enrollment of high school seniors who earn credits from the college and the high school simultaneously is a growing phenomenon. The most prevalent college involvement in serving gifted youngsters is through special summer offerings. Summer programs funded by state departments of education, early identification of talented students, student fee arrangements, training teachers of the gifted, and state support for educating the gifted are also noted. (SW)