International audienceThis was the third CERME at which Thematic Working Group (TWG) “Mathematical potential, creativity and talent” took place. One of the central goals of this TWG was to raise attention of the mathematics education community to the field of mathematical potential, creativity and talent, and to promote empirical and theoretical research that will contribute to the development of our understanding in the field. In 2011, 25 participants from 14 countries discussed 15 contributions. This time (2015), 35 participants took part in the TWG discussions about 24 contributions by researchers and practitioners from 15 countries from different parts of the world. The TWG facilitated communication between educational researchers, mathematics educators and research mathematicians focusing on the nature and nurture of mathematical creativity in all students and high mathematical ability in particular individuals. Following the debates at TWG07 at CERME7 and CERME8, we continued an international exchange of ideas related to the research into the identification of mathematical talent, the didactics of teaching highly able students as well as the promotion of creativity in all students