Abstract
The objectives of this study were to identify high schools with well-developed programs for gifted students in mathematics and to isolate the key ingredients of such programs. The first objective involved analyzing data from 509 schools. Four stringent criteria were applied to isolate the top 2% of the schools, and these were labeled exemplary schools. Each of the exemplary schools had developed viable independent study research programs in mathematics. The key ingredients included the following: dynamic research-oriented math teachers, development of problem-centered courses that used no text or tests, active administrative support, active recruiting, and contact with nearby universities. None of the schools had above average facilities or extensive computer resources.
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