The book presents research works developed within the Anthropological Theory of the Didactic (ATD) by senior and young researchers that participated in the Intensive Research Program "Advances in the anthropological theory of the didactic and their consequences in curricula and teacher education" held at the Centre de Recerca Matematica (CRM) in Barcelona. It is organized in three axes of current research on the ATD: teacher education and the professionalization of teaching; the curriculum problem in the historical transition from the classical paradigm of visiting works to the emerging didactic paradigm of questioning the world; and research in didactics at the university level.

Preface.- Part 1. Mathematics teacher education and the professionalisation of teaching.- Modifying teachers' didactic praxeologies in the perspective of the paradigm of questioning the world: the case of the technological-theoretical moment.- Pre-service teachers' MPCK enhancements using the framework of anthropological theory of the didactic.- Evolution of a teacher-researcher while developing a co-disciplinary study and research path through five implementations.- Building reference paradidactic praxeological modelsfor investigating teachers' reflection.- Reflections on teacher professionalisation - a German perspective.- A co-disciplinary research and study path within two groups of pre-service mathematics teacher education.- The ecology of the didactic divide in teacher education.- The gap between studying a generating question and planning lessons based on it.- Prospective teachers solving a percentage problem: An analysisof the construction of a praxeology.- Part 2. The curriculum problem and the paradigm of questioning the world.- Didactic praxeologies taking into consideration the collective dimension of the generating question' when implementing study and research paths in French secondary schools.- Overview of research on textbooks in Brazilian compulsory education.- Study and research in graph theory: A case of a Japanese upper secondary school.- Kernels of mathematical thinking as task and curriculum design tools in the Pósa method.- The constitution of the "milieu" during an inquiry process: an analysis in terms of question-answer and media-milieu dialectics.- Pre-service teachers' design an inquiry task through study and research paths for teacher education.- The cooperative works, a teacher training system open to the local social network.- A praxeological analysis of the proposal for teaching probability in Brazilian textbooks of compulsoryeducation.- How long would it take to open a padlock? A study and research path with grade 10 students.- Part 3. Research in didactics at the university level.- Deployment of study and research paths in mechanical engineering.- Didactic potentials of a task sequence: teaching the notion of a space curve.- A reference epistemological model for the case of conics.- On the didactic transposition of the concept of ideal at the Bachelor level.- Two tasks to teach randomness and probability reasoning.- The problem-based learning through the e-portfolio as a methodological basis for the acquisition of the transversal competence of solidarity and social commitment in mathematics subjects.- On a vector calculus task that led to the formation of a praxeology: a lucky accident or an implicit fine design?.