ISSUES AND CHALLENGES IN THE DEVELOPMENT
OF AN INTERNATIONAL NETWORK FOR
DIDACTIC RESEARCH IN UNIVERSITY MATHEMATICS
Viviane DURAND-GUERRIER,IMAG, CNRS, univ. Montpellier, France

The emergence of the network on previous backgrounds
The creation of the network did not come out of nowhere. Here are some milestones:• ICMI Study on the Teaching and Learning of Mathematics at University Level
Singapore, December 1997 (Holton 2001).

• Biannual conference DELTA (southern hemisphere seminars on undergraduate
mathematics and statistics education) since 1997.

• Annual conference on SIGMAA on RUME (Special Interest Group of theMathematical Association of American on Research in Undergraduate MathematicsEducation) since 2001.

The emergence of the network on previous backgrounds• A recurrent topic in conferences of Espace Mathématique Francophone, recognized as alinguiistic régional conference by ICMI since 2003.

• A recurrent Topic Study Group on Mathematics Education at tertiary level in quadriennal
ICME conferences.

• Creation of a Thematic Working Group University Mathematics Education in the biannual

CERME conferences since 2011 ; this new TWG attracked quickly many participants form
Europe and the worldwide.

• National networks developing in many European countries (France, Germany, Norway, Spain,United Kindgom, etc. )The creation of the INDRUM Network
The mentioned dynamics let emerge the relevance of developing a permanent network
favoring the development of collaborations.
A rst informal presentation occurred in Oberwolfach (Germany) during an international
meeting organized by the German Centre for Higher Mathematics Education (KHDM).
The network was formally founded at CERME9 in Prague (Czech Republic), by a group ofscholars in February 2015.
The initial group of scholars gathered 19 scholars from 12 countries (Belgium, Canada,Denmark, France, Germany, Italia, Mexico, Norway, Spain, Tunisia, United Kingdom, UnitedStates).

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The current INDRUM scienti c committee comprises 41 members from 16 countries,including a Coordination Group that will be renewed every 2 years during the conferences.

Issues and challenges
The aim was to build an International Network aiming to contribute to the development of Didactic
Research at University, in Mathematics, whathever the level and the track, with a particular focus onbuilding research capacity in the eld, with a concern for the development of early-carrier
researchers, and for dialogue with the mathematics community.

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The main concrete objectives
1/ elaboration of a scienti c programme that will federate existing research in this eld in Europe andbeyond;2/ development and emergence of international collaborations by applying to project calls at all levels(local, regional, european, international);
3/ reinforcement of the visibility of these research studies to researchers in mathematics educationand to the mathematics community;
4/ contribution to the development of doctoral programmes in this eldStrategies to solve the issues and challenges (1)Organizing biennial international conferences hosted by universities that address all aspects ofresearch in didactics of mathematics at tertiary level, on two broad themes: students’ andteachers’ practices and the teaching and learning of specific mathematical topics (Analysis,Geometry, Arithmetic, Probability, Discrete Mathematics, Logic, Topology etc.)
INDRUM 2016 University of Montpellier (France)
INDRUM 2018 University of Agder (Norway)
INDRUM 2020 Online from Faculty of Sciences of Bizerte (Carthage University, Tunisia)
INDRUM2022 will held in Hanover (Germany) at the Leibniz University, 19-22 Oct.2022.
https://indrum2022.sciencesconf.org/
March 11, 2022: Registration open
April 1, 2022: Deadline for submission of papers and poster proposals
The four conferences are labelled as ERME Topic Conferences:
http://erme.site/topic-conferences/Strategies to solve the issues and challenges (2)Proceedings available in a same place with open access:
The free platform sciencesconf.org of the French CNRS (National Center for Scienti c Research), is used foreach conference website, whatever the hosted university ; jointly, a webpage on the French open archive
HAL as been created for gathering the proceedings:
https://hal.archives-ouvertes.fr/INDRUM/page/indrum-proceedings
Strategies of publications
A special issue in IJRUME (International Journal for Research in University Mathematics Education): Nardi &Winslow (2018), with selected papers of INDRUM 2016.
A book in the ERME Series at Routledge : Durand-Guerrier, V., Hochmuth, R., Nardi, E., Winslow, C. (2021),
that provides a deep synthesis of the research eld as it appears through two INDRUM conferences
organised in 2016 and 2018.

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A special issue in IJMEST (International Journal of Mathematical Education in Science and Technology), withselected papers of INDRUM 2020, is currently prepared by T. Hausberger and M. Bosch (to appear in 2022).

FUMME - An international online seminar
FUMME (From University Mathematics to Mathematics Education) The seminar is intended
to present recent researches on the transition faced by university students when they move toteaching at school (Klein’s Second Transition), in particular those conducted by young
researchers, including PhD students: https://hal.archives-ouvertes.fr/FUMME/

The presentations focus on well-identified mathematical fields (Analysis, Geometry,Arithmetic, Probability, Discrete Mathematics, Logic, Topology etc ..).
Avenues for university teachers’ training can be considered.
A special issue of RDM (Recherches en Didactique des Mathématiques) will be published in2023.
More than 100 scholars are inscribed on the seminar mailing list in order to receive thevideoconference link at each session, and the number is still increasing.

References
Durand-Guerrier, V., Hochmuth, R., Nardi, E., Winslow, C. (Eds.) (2021). Researchand Development in University Mathematics Education. Overview produced by theInternational Network for Didactic Research in in University Mathematics. ERME
Series. London and New-York: Routledge.
Holton, D. (Ed.) (2001). The Teaching and Learning of Mathematics at University
Level. Dordrecht: Kluwer.
Nardi, E. & Winsløw, C. (Eds) (2018). Special Issue: INDRUM (International Networkfor Didactic Research in University Mathematics) 2016 Select Papers, International
Journal for Research in Undergraduate Mathematics Education 4(1).

Thank you for your attention
viviane.durand-guerrier@umontpellier.fr
https://hal.archives-ouvertes.fr/INDRUM
https://hal.archives-ouvertes.fr/FUMME/