M.A. Rodionov, T.A. Chernetskaya, I.V. Akimova, N.N. Khramova, Adaptive Technology of Pupils’ Mathematics Teaching That Considers the Specific Features of Pupils’ Subject-Matter Giftedness, The Social Sciences, Volume 11,Issue 28, 2016, Pages 6699-6708, ISSN 1818-5800, sscience.2016.6699.6708, (https://makhillpublications.co/view-article.php?doi=sscience.2016.6699.6708) Abstract: The study gives content-methodological characteristics of the development project for the pupils’ adaptive automated mathematics teaching system considering the nature of pupils’ subject-matter giftedness. The project is based on the original concept of mathematical giftedness, according to which this giftedness is seen as a complex hierarchical structure. Revealing this condition at a particular pupil allows identifying appropriate measures for its further teaching and development. Keywords: pupil’s search activity for solving mathematical problems;Adaptive teaching technology;mathematical giftedness;giftedness