The article puts special emphasis on the necessity of giving a scientifically grounded definition to such a concept as «giftedness». By taking a retrospective look on the problem the author reveals reasons why the perception of giftedness as «intellect above average» is so widespread. Determining a unit of analysis of giftedness (i.e. ability to develop activity on one’s own initiative) and creating a method for its measurement («systematic observation») made it possible to realize F. galton’s concept of giftedness.