This intensive research programme focuses on the latest developments of the Anthropological Theory of the Didactic (ATD) and its links with other approaches in Mathematics Education. The programme brings together leading researchers from all over the world to present their works in recent trends and methodologies. The programme has been designed to be interesting for both junior and senior researchers, from graduate students to established scholars. Primary, secondary and tertiary teachers, as well as teacher educators interested in curriculum-related issues and research in didactics are also welcome. The planned activities combine presentations of recent research results, theoretical advances and new methodologies, including participatory sessions to discuss ongoing research. The programme is structured into four advanced two-week courses on: dialogues between theories, teacher education, the curriculum problem, and university education. Each course includes a first part mainly base