The French Didactic Tradition in Mathematics

  title={The French Didactic Tradition in Mathematics},
  author={Mich{\`e}le Artigue and Marianna Bosch and Hamid Chaachoua and Fa{\"i}za Chellougui and Aur{\'e}lie Chesnais and Viviane Durand-Guerrier and Christine Knipping and Michela Maschietto and Avenilde Romo-V{\'a}zquez and Luc Trouche},
  journal={European Traditions in Didactics of Mathematics},
This chapter presents the French didactic tradition. It first describes the emergence and development of this tradition according to four key features (role of mathematics and mathematicians, role of theories, role of design of teaching and learning environments, and role of empirical research), and illustrates it through two case studies respectively devoted to research carried out within this tradition on algebra and on line symmetry-reflection. It then questions the influence of this… Expand
Emergent models in a reinvention activity for learning the slope of a curve
Abstract Introducing the slope of a curve as the limit of the slope of secant lines is a well-known challenge in mathematics education. As an alternative, three other approaches can be recognized,Expand
Didactic Engineering (DE) and Professional Didactics (PD): A Proposal for Historical Eesearch in Brazil on Recurring Number Sequences
The present work presents some examples of data originated from a set of investigations developed in Brazil, at the Federal Institute of Education, Science and Technology of the State of Ceará IFCE,Expand
Development of competencies for teaching geometry through an analysis learning obstacle
Through the analysis process of learning obstacles, is expected to develop the competency of a pre-service mathematics teacher to teach geometry, using the philosophical foundation of hermeneutics, phenomenology, and ethnomethodology. Expand


Didactics of Mathematics: Concepts, Roots, Interactions and Dynamics from France
This chapter analyses specificities of the French field of ‘didactics of mathematics’, questioning its reasons, tracing the geneses of concepts related to artefacts and following influences on, andExpand
Mathematics Education in France: 1800–1980
This chapter studies the evolution of mathematics teaching in France from 1800 to about 1980. It investigates the specificities of the teaching of mathematics – aims, content, and methods – for eachExpand
Didactique Goes Travelling: Its Actual and Potential Articulations with Other Traditions of Research on the Learning and Teaching of Mathematics
The French tradition of research on the learning and teaching of mathematics, often referred to simply as didactique, has developed a range of theoretical tools. These tools share a commonExpand
Teaching Mathematics in Tomorrow’s Society: A Case for an Oncoming Counter Paradigm
It is the author’s ambition to show, however succinctly, how the present crisis in mathematics education could hopefully be solved along these lines, which preclude recurring to strategies seeking only to patch up the old, still dominant paradigm “ of visiting works”. Expand
Learning Mathematics in a CAS Environment: The Genesis of a Reflection about Instrumentation and the Dialectics between Technical and Conceptual Work
  • M. Artigue
  • Mathematics, Psychology
  • Int. J. Comput. Math. Learn.
  • 2002
The reflection presented here is more than a personal one – it is based on the collaboration and dialogues that I have been involved in during the nineties, and shows how the main theoretical frameworks used and developed in the French research have allowed us to approach important issues as regards the educational use of CAS technology. Expand
Doing Research Within the Anthropological Theory of the Didactic: The Case of School Algebra
Since its emergence in the early 80s with the study of didactic transposition processes, the Anthropological Theory of the Didactic maintains a privileged relationship with school algebra and itsExpand
Evolution of proof form in Japanese geometry textbooks
This study discusses the evolution of mathematical proofs in Japanese junior high school geometry textbooks and the conditions and constraints that have shaped them. We analyse the evolution of theseExpand
Theory of didactical situations in mathematics
ion is not inevitable. In fact, shopkeepers have never abstracted the structures of modules which regulate their financial exchanges because they haven’t the motivation to do so. Schematization andExpand
Didactic Sequences Teaching Mathematics for Engineers With Focus on Differential Equations
This investigation takes place in the Research Center for Applied Science and Advance Technology of the National Polytechnic Institute (CICATA-IPN) and in the School of Science of Engineering andExpand
Didactic Transposition in Mathematics Education
The process of didactic transposition refers to the transformations an object or a body of knowledge undergoes from the moment it is produced, put into use, selected and designed to be taught, untilExpand