Introduction to the Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education(CERME11)

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These proceedings are available as a complete volume online on the ERME website and each individual text is also available on the HAL open archive, where it can be found through keywords, title or author name. This has been the practice since CERME9, to increase the visibility of the huge work done in CERME conferences.This volume begins with texts corresponding to the four plenary activities of CERME11: the plenary lecture by Paul Drijvers (The Netherlands) on “Embodied instrumentation: combining different views on using digital technology in mathematics education”; the plenary lecture by Kathleen M. Clark (USA) on “History and pedagogy of mathematics in mathematics education: History of the field, the potential of current examples, and directions for the future”; the plenary lecture by Sebastian Rezat (Germany) on “Extensions of number systems: continuities and discontinuities revisited”; and finally the “ERME anniversary panel on the occasion of the 20th birthday of the European Society for Research in Mathematics Education” by Konrad Krainer (Austria), Hanna Palmér (Sweden), Barbara Jaworski (UK), Susanne Prediger (Germany), Paolo Boero (Italy), Simon Modeste (France), Tommy Dreyfus (Israel), and Jana Žalská (Czech Republic).After the plenaries, the reader will find 26 chapters corresponding to the work done in the TWGs of CERME11 (all the split TWGs chose to do combined introductions). These chapters follow a similar structure: they start with an introduction; then the long contributions (8-page papers) and the short contributions (2 pages) are presented – in alphabetical order by first author’s name. However, TWG17 has chosen a different order, corresponding to subthemes in the group.There are two kinds of introductions to the TWGs, according to the team’s choice: short introductions (4 pages) presenting the contributions; or long introductions (8 pages), which propose, in addition, an analysis of the current research on the theme of the TWG, and perspectives for the future. TWGs 06, 07, 09, 14, 15, 17, 19, 22, 23, 25 and 26 have chosen this form of long introduction.The publication of these proceedings is the result of a collaborative work, involving CERME11 IPC, the TWG leaders and co-leaders, and the LOC co-chair. We warmly thank all these people for their involvement, and hope that this volume will contribute to the development of mathematics education research in Europe and beyond.