14-18 July 2014

Aarhus University,
Campus Emdrup, Denmark

Important remark: although ESU-7 will be organized by Aarhus University, the event will take place in Campus Emdrup, which is located in Copenhagen.


The initiative of organizing a Summer University on the History and Epistemology in Mathematics Education belongs to the French Mathematics Education community, in the early 1980’s. From those meetings emerged the organization of a SU on a European scale, as the European Summer University (ESU) on the History and Epistemology in Mathematics Education, starting in 1993. Since then, ESU was successfully organized in 1996, 1999, 2004, 2007 and 2010 in different places in Europe: Montpellier (France), Braga (Portugal), Louvain-la-Neuve and Leuven (Belgium), Uppsala (Sweden), Prague (Czech Republic), Vienna (Austria).
By now, it has been established into one of the main international activities of the HPM Group, which – from 2010 onwards – will be organized every four years, so that every two years there will take place at least one major international meeting of the Group; namely, ESU and the HPM Satellite Meeting of ICME.

1. Aim and focus of the ESU
The ESU mainly aims
o to provide a school for working on a historical, epistemological and cultural approach to mathematics and its teaching, with emphasis on actual implementation,
o to give the opportunity to mathematics teachers, educators and researchers to share their teaching ideas and classroom experiences related to a historical perspective in teaching,
o to motivate further collaboration along these lines, among teachers of mathematics and researchers on history and education of mathematics in Europe and beyond, attempting to reveal the following aspects of mathematics:
o Mathematics as a human intellectual enterprise with a long history, a vivid present and an as yet unforeseen future;
o Although the “polished” products of mathematics form the part of mathematical knowledge that is communicated, criticized (in order to be finally accepted or rejected) and serve as the basis for new work, the process of “doing mathematics”, producing mathematical knowledge, is equally important, especially from a didactical point of view;
o Mathematical knowledge is determined, not only by the circumstances in which it becomes a deductively structured theory, but also by the procedure that originally led, or may lead to it and which is indispensable for its understanding. Therefore, learning mathematics includes the understanding of implicit motivations, the sense-making actions and the reflective processes, which are aimed at the construction of meaning; hence, teaching mathematics should include the opportunity given to students to “do mathematics”;
o This perception of mathematics should not only be the core of the teaching of mathematics, but also the image of mathematics communicated to the outside world.

In this connection, putting emphasis on historical and epistemological issues constitutes a possible natural way for exposing mathematics in the making that may lead to a better understanding of specific parts of mathematics and to a deeper awareness of what mathematics as a whole really is. This is important for mathematics education, helping to realize that:
o Mathematics is the result of contributions from many different cultures;
o Mathematics has been in constant dialogue with other sciences, arts and technology;
o Mathematics has been a constant force of scientific, technical, artistic and social development;
o The philosophy of mathematics has evolved through the centuries;
o The teaching of mathematics has developed through the ages;

and in this way, to improve the learning of mathematics and stimulate students’ interest in mathematics.

This helps to improve mathematics education at all levels, and at the same time also realize that although mathematics is central to our modern society and although a mathematically literate citizenry is essential to a country’s vitality, historical and epistemological issues of mathematics is also worth studying. The harmony of mathematics with other intellectual and cultural pursuits also makes the subject interesting, meaningful and worthwhile. In this wider context, history and epistemology of mathematics have a yet more important role to play in providing a fuller education of the community.

This is most important, and especially today where many countries are concerned about the level of mathematics which their students are learning, and about the students’ decreasing interest in mathematics at a time when the need for both technical skills and a broader education is increasing.

2. Main themes of ESU-7
The ESU is more a collection of intensive courses than a conference for researchers. More specifically, it is a place where teachers and researchers meet and work together. It is also a place where beginners, more experienced researchers and teachers present their teaching experience to the benefit of the participants and receive constructive feedback from them. It refers to all levels of education – from primary school, to tertiary education – including in-service teachers’ training. The focus is preferably on work and conclusions based on actual classroom experiments and/or produced teaching and learning materials.
The program and activities of ESU-7 are structured around the following main themes:
1. Tools of history and epistemology, theoretical and/or conceptual frameworks for integrating history in mathematics education;
2. Classroom experiments and teaching materials, considered from either the cognitive or/and affective points of view; surveys of curricula and textbooks;
3. Original sources in the classroom, and their educational effects;
4. History and epistemology as tools for an interdisciplinary approach in the teaching and learning of mathematics and the sciences;
5. Culture and mathematics;
6. Topics in the history of mathematics education;
7. History of mathematics in the Nordic countries.

In several of these themes emphasis is put on work and conclusions based on actual classroom experiments and/or produced teaching and learning materials, but insightful theoretical ideas and/or historical analysis with visible didactical implications are welcome.

3. Activities during ESU 7
All activities should refer to the ESU-7 main themes. Its scientific program will be structured along these themes, consisting of a few plenary lectures and panels. A major part of the program consists of workshops. The program will also contain parallel sessions of oral presentations and short communications about posters for participants, who want to speak about their own experience or research.
o Normally there will be at most one plenary lecture per theme. The plenary lectures are conceived as introductory lectures for the workshops.
o In the panels the participants will work together, well in advance, so that, during the panel session, there is a real discussion among them and/or with the panel coordinator. The themes of the two panels for ESU7 will be:
• History and philosophy of mathematics, technics and technology in mathematics education
• The question of evaluation and assessment of experiences with introducing history of mathematics in the classroom
o Workshops consist of studying a specific subject and having a follow-up discussion. The role of the workshop organizer is to prepare, present, and distribute the historical/epistemological or pedagogical/didactical material, which motivates and orients the exchange of ideas and the discussion among the participants. Participants read and work on the basis of this material (e.g., original historical texts, didactical material, students’ work, etc). There are many workshops in parallel, which vary in duration (2 hours for workshops on didactical/pedagogical material; 3 hours for workshops on historical/epistemological material). To the extent possible, workshops may elaborate on the ideas presented in the plenary lectures.
o Oral presentations will normally be allocated a 30-minute time slot; with 25 minutes for presentation and 5 minutes for discussion. It is an activity in the spirit of a conventional research conference.
o There will be special sessions for short oral communications about poster presentations. Exhibitions of books and other didactical material will also be possible.

4. Target population
The major part of the participants is expected to be (elementary or secondary) schoolteachers, who may wish to gain new ideas on how they can integrate the history of mathematics into their teaching. However, there will also be university teachers and students in attendance who are interested in the integration of the history and epistemology of mathematics into mathematics education, as well as historians of mathematics, who may give a limited number of lectures and workshops to inform others about recent developments in their domain, and mathematicians with an interest in the relation between mathematics, its history and epistemology, and its role at present and in the past.

5. Time and place
The 7th ESU will take place from Monday 14 to Friday 18 July 2014 at the Aarhus University, Campus Emdrup (Copenhagen), Denmark.

6. Official Languages
The official languages of ESU-7are: English, Danish, and French.

More specifically:
• All plenary talks and panel discussions will be in English.
• It is preferable to organize Workshops in English. Nevertheless, workshop organizers who intend to organize their workshop in another language are encouraged to prepare copies in English of the material to be distributed to the participants (e.g., transparencies, worksheets, etc). This will certainly increase participation, as well as facilitate communication among participants.
• Oral presentations can be delivered in any of the official languages. However, for presentations not in English, presenters will be asked to use two sets of transparencies; one set in the language they are going to give their presentation and one set in English.

7. Submission of proposals
31. October 2013: deadline for submitting Abstracts of proposals for all types of activities.
Send abstracts of proposals in electronic form to:
Evelyne Barbin, Chair of the ESU7:
Tinne Hoff Kjeldsen, Co-chair:
Uffe Thomas Jankvist, Co-chair:

30. November 2013: Notification of acceptance or not of the submitted proposals.

The members of the Scientific Program Committee (SPC) will review the submitted abstracts. At this stage, acceptance of a proposal means that the proposed activity will be included in the ESU-7 Scientific Program. However, this does not imply that a full text based on this activity will automatically be included in the ESU-7 Proceedings, which will be published after the ESU. Full texts of program activities will be further reviewed by members of the SPC, using the usual international standards. For more details, see Proceedings, §10 below.

8. The (international) Scientific Program Committee (SPC)
Evelyne Barbin, University of Nantes (France) (Chair)
Tinne Hoff Kjeldsen, University of Copenhagen (Denmark) (Co-chair)
Uffe Jankvist, Aarhus University, (Denmark) (Co-chair)
George Booker, Griffith University (Australia)
Renaud Chorlay, IREM, Université Paris 7 (France)
Kathy Clark, Florida State University (USA)
Ubiratan d’Ambrosio, Campinas University, Sao Paolo (Brazil)
Abdellah El Idrissi, Ecole Normale Supérieure, Marrakech (Morocco)
Florence Fasanelli, American Association for the Advancement of Science (USA)
Gail FitzSimons, Monash University, Victoria (Australia)
Fulvia Furinghetti, University of Genoa (Italy)
Wann-Sheng Horng, National Taiwan Normal University (Taiwan)
Sunwook Hwang, Soongsil University, Seoul (Korea)
Masami Isoda, University of Tsukuba (Japan)
Niels Jahnke, Universität Duisburg-Essen (Germany)
Sten Kaisjer, University of Uppsala (Sweden)
Victor Katz, University of the District of Columbia, Washington, DC (USA)
Manfred Kronfellner, Vienna University of Technology (Austria),
Ewa Lakoma, Military University of Technology, Warsaw (Poland)
Snezana Lawrence, Simon Langton Grammar School for Boys (UK)
Maria Rosa Massa-Esteve, University Politecnica of Catalunya (Spain)
David Pengelley, New Mexico State University (USA)
Luis Puig, University of Valencia (Spain)
Luis Radford, Université Laurentienne Sudbury, Ontario (Canada)
Tatiana Roque, Universidade Federal do Rio de Janeiro (Brasil)
Gert Schubring, University of Bielefeld (Germany)
Man-Keung Siu, University of Hong Kong (China)
Bjorn Smestad, Oslo University College, (Norway)
Robert Stein, California State University (USA)
Constantinos Tzanakis, University of Crete (Greece)
Jan van Maanen, Freudenthal Institute, University of Utrecht (The Netherlands),
Chris Weeks, Downeycroft, Virginstow Beaworthy (UK)
Geisy Winicki-Landman, Califormia State Polytechnic University (USA)

The Local Organizing Committee (LOC)
Uffe Thomas Jankvist, Aarhus University (Chair)
Tinne Hoff Kjeldsen, University of Copenhagen
Morten Misfeldt, Aalborg University
Lena Lindenskov, Aarhus University
Pernille Ussing-Nielsen, Aarhus University

9. The web site
Making known the ESU in various countries (in Europe and beyond) is a major task to be realized by the SPC. To this end, a web site will be operating shortly. This will be a very efficient tool to make known the ESU worldwide and to allow for online registration, etc.

10. Proceedings
Publishing the Proceedings of the ESU is also a major task. In fact, Proceedings of the previous ESU have become standard references in this area (cf. the Appendix).
The Proceedings will be published after ESU-7, so that authors are given the opportunity to enrich their text as a result of the feedback they will gain during this European Summer University.
Each submitted full text, for a workshop or an oral presentation, will be reviewed by one or two members of the SPC at the usual international standards.
More details on the deadline for submitting full texts, the format guidelines, and the expected date by which the proceedings will be available and sent to all registered participants, will be announced in due course from the ESU-7 and HPM websites



11. For further information – contact
Evelyne Barbin, IREM et LMJL, UFR des sciences et des techniques, Université de Nantes, 2 rue de la Houssinière, BP 92208, 44322 Nantes Cedex, France

Tinne Hoff Kjeldsen, Department of Science Education, University of Copenhagen, Øster Voldgade 3, DK-1350 Copenhagen K

Uffe Thomas Jankvist, Department of Education, Aarhus University, Campus Emdrup. Tuborgvej 164, DK-2400 Copenhagen NV

Evelyne Barbin, France
Tinne Hoff Kjeldsen, Denmark
Uffe Thomas Jankvist, Denmark


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