Documentational Approach to Didactics

This article is an updated version of an entry of the Encyclopedia of Mathematics Education (2018). In the same time, it is the seed of the HAL collection DAD-MULTILINGUAL (https://hal.archives-ouvertes.fr/DAD-MULTILINGUAL), constituted by the translation of this entry in various languages. The documentational approach to didactics is a theory in mathematics education. Its first aim is to understand teachers' professional development by studying their interactions with the resources they use and design in/for their teaching. In this text we briefly describe the emergence of the approach, its theoretical sources, its main concepts and the associated methodology. We illustrate these aspects with examples from different research projects. This synthetic presentation is written for researchers, but also for non-specialists (e.g. master students) interested in a first discovery of the documentational approach.

[1]  Dominique Guin,et al.  Calculatrices symboliques. Transformer un outil en un instrument du travail mathématique : un problème didactique , 2002 .

[2]  Etienne Wenger,et al.  Communities of Practice: Learning, Meaning, and Identity , 1998 .

[3]  R. Hammoud.  Le travail collectif des professeurs en chimie comme levier pour la mise en œuvre de démarches d'investigation et le développement des connaissances professionnelles. Contribution au développement de l'approche documentaire du didactique , 2012 .

[5]  G. Gueudet.  Studying Teachers’ Documentation Work: Emergence of a Theoretical Approach , 2019, The 'Resource' Approach to Mathematics Education.

[6]  G. Gueudet,et al.  Comprendre l'intégration de ressources technologiques en mathématiques par des professeurs des écoles , 2011 .

[7]  M. Grant,et al.  Communities of practice. , 2020, Health progress.

[8]  G. Psycharis,et al.  Studying the process of becoming a teacher educator in technology-enhanced mathematics , 2017, Journal of Mathematics Teacher Education.

[9]  Luc Trouche,et al.  From Text to 'Lived' Resources: Mathematics Curriculum Materials and Teacher Development , 2011 .

[10]  G. Gueudet,et al.  Didactic Contract at the Beginning of University: a Focus on Resources and their Use , 2018 .

[11]  Luc Trouche,et al.  Didactics of Mathematics: Concepts, Roots, Interactions and Dynamics from France , 2016 .

[12]  G. Gueudet,et al.  The 'Resource' Approach to Mathematics Education , 2019, Advances in Mathematics Education.

[13]  G. Vergnaud,et al.  Towards a Cognitive Theory of Practice , 1998 .

[14]  Thomas J. Cooney.  Conceptualizing Teachers' Ways of Knowing , 1999 .

[15]  Ghislaine Gueudet,et al.  University Teachers’ Resources Systems and Documents , 2017 .

[16]  Takeshi Miyakawa,et al.  Studying mathematics teachers interactions with curriculum materials through different lenses: Towards a deeper understanding of the processes at stake , 2019, International Journal of Educational Research.

[17]  Jeffrey Choppin,et al.  Digital curriculum resources in mathematics education: foundations for change , 2017 .

[18]  G. Gueudet,et al.  Towards new documentation systems for mathematics teachers? , 2009 .

[19]  L. Trouche,et al.  Comprendre le travail des professeurs avec les ressources de leur enseignement, un questionnement didactique et informatique , 2016 .

[20]  Chongyang Wang.  Mathematics Teachers’ Expertise in Resources Work and Its Development in Collectives: A French and a Chinese Cases , 2018 .

[21]  Luc Trouche,et al.  The didactical challenge of symbolic calculators : turning a computational device into a mathematical instrument , 2005 .

[22]  Uses of Online Resources and Documentational Trajectories: The Case of Sésamath , 2018 .

[23]  Hyman Bass,et al.  Knowing Mathematics for Teaching Who Knows Mathematics Well Enough To Teach Third Grade, and How Can We Decide? , 2005 .

[24]  Luc Trouche,et al.  Refining teacher design capacity: Mathematics teachers’ interactions with digital curriculum resources , 2017 .

[25]  Hussein Sabra.  L'étude des rapports entre documentations individuelle et collective: Incidents, connaissances et ressources mathematiques , 2016 .

[26]  B. Pepin,et al.  Student use of resources in Calculus and Linear Algebra , 2018 .

[27]  Jonathan M. Borwein,et al.  Tools and mathematics, instruments for learning , 2016 .

[28]  Takeshi Miyakawa,et al.  Mathematics Teachers as Curriculum Designers: An International Perspective to Develop a Deeper Understanding of the Concept , 2019, The 'Resource' Approach to Mathematics Education.

[29]  Beu Birgit Pepin,et al.  Collective work with resources: an essential dimension for teacher documentation , 2013 .

[30]  E. Wenger.  Communities of Practice: Learning, Meaning, and Identity , 1998 .

[31]  Luc Trouche,et al.  Teachers’ Work with Resources: Documentational Geneses and Professional Geneses , 2011 .

[32]  D. Laplane.  Thought and language. , 1992, Behavioural neurology.

[33]  Janine T. Remillard,et al.  The teacher-tool relationship: Theorizing the design and use of curriculum materials , 2009 .

[34]  Jill Adler,et al.  Conceptualising Resources as a Theme for Teacher Education , 2000 .

[35]  Luc Trouche,et al.  Re-sourcing teachers’ work and interactions: a collective perspective on resources, their use and transformation , 2013 .

[36]  Nolwenn Quere.  Collective Designing and Sharing of Open Educational Resources: A Study of the French CARTOUN Platform. , 2017 .

[37]  Scott A. Courtney,et al.  Analyzing Teachers’ Work with Resources: Methodological Issues , 2019, The 'Resource' Approach to Mathematics Education.

[38]  Gaëtan Bourmaud,et al.  From computer to instrument system: a developmental perspective , 2003, Interact. Comput..

[39]  L. Trouche.  Evidencing Missing Resources of the Documentational Approach to Didactics. Toward Ten Programs of Research/Development for Enriching This Approach , 2019, The 'Resource' Approach to Mathematics Education.

[40]  J. Remillard.  Examining Key Concepts in Research on Teachers’ Use of Mathematics Curricula , 2005 .

[41]  Ghislaine Gueudet,et al.  Curriculum Resources and Textbooks in Mathematics Education , 2018, Encyclopedia of Mathematics Education.

[42]  Pierre Vérillon,et al.  Cognition and artifacts: A contribution to the study of though in relation to instrumented activity , 1995 .