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Part 1. Dialogue between theories in mathematics education
Introduction
On the genesis and progress of the ATD
ATD on relationships between research and teaching. The case of a didactic problem concerning real numbers
From the networking of theories to the discussion of the educational implications of research
Theory of didactical situations in mathematics: an epistemological revolution
The Onto-semiotic Approach in Mathematics Education. Analysing objects and meanings in mathematical practice
APOS theory and the role of genetic decomposition
Part 2. Mathematics teacher education and the professionalisation of teaching
Introduction
Challenges and advances in teacher education within the ATD
Paradidactic infrastructure for mathematics teachers' collective work
On the problem between devices and infrastructures in teacher education within the paradigm of questioning the world
Introduction of ordinal number at the beginning of the French curriculum: a study of professional teaching problem
Study and research for teacher education: some advances on teacher education in the paradigm of questioning the world
Transpositive phenomena of didactics in teacher training
Prospective teachers' narrative analysis using the didactic-mathematical knowledge and competences model (DMKC)
Exploring the Paradidactic Ecosystem: Conditions and Constraints on the Teaching Profession
Teacher learning in collaborative settings: analysis of an open lesson
Part 3. The curriculum problem and the paradigm of questioning the world
Introduction
Toward a scientific understanding of a possibly upcoming civilisational revolution
Methodological proposal about the analysis of dominant praxeological models with its confrontations with a reference praxeological model: a case study of quadratic equation
Study and research Paths, ecology and in-service teachers
Analysing the Dialectic of Questions and Answers in Study and Research Paths
Experimentation of an SRP: didactic-mathematical indicators of dialectics
Part 4. Research in didactics at university level
Introduction
Institutional transitions in university mathematics education
Examining Individual and Collective Level Mathematical Progress
Mathematical analysis at university
Using tools from ATD to analyse the use of mathematics in engineering tasks. Some cases involving integrals
A workshop on the epistemology and didactics of mathematical structuralism
About two epistemology related aspects in mathematical practices of empirical sciences
Describing the mathematical activity: dynamic and static aspects.

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