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First Special School for Gifted Children
1902
1902 in Worcester, Massachusetts the first private school for gifted children was started for children in grades 7-9. References: Colangelo, N. & Davis, G. (2003) Handbook of Gifted Education (3rd ed.) .
Karnes, F. A., & Nugent, S. A. (2002). Influential People In Gifted Education.
Gifted Child Today, Vol. 25 (Issue 4). Retrieved from
http://www.positivedisintegration.com/Karnes2002.pdf
Boston, Ma.: Allyn and Bacon

I doubt that a school that openly announced it was for gifted kids would be allowed to open today.