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CRM > English > Activities > Curs 2018-2019 > Advanced Course 3. The Curriculum Problem and the Paradigm of Questioning the World, in Mathematics and beyond
Advanced Course 3. The Curriculum Problem and the Paradigm of Questioning the World, in Mathematics and beyond


General information

From July 1st to 12th, 2019
Advanced course's information

Coordinator:  Noemí Ruiz,  ​Tecnocampus - Universitat Pompeu Fabra

This course addresses the curriculum problem in the historical transition from the classical paradigm of visiting works to the emerging didactic paradigm of questioning the world. The former is based on the sequential access to previously established knowledge, while in the later one ideally starts from a question and tries to work out an answer to that question, without any prejudice regarding the kinds of tools needed to elaborate the answer sought. In this paradigm, the notions of inquiry (of a given question) and study and research paths (SRP) play a key role. However, the works of culture do not vanish: they are simply assigned a more functional role, which requires studying a given work―in synergy with other works―with the aim of providing an appropriate answer to a question or set of questions. Eventually, the questions, the studied works and the answers to these questions become part of a "new" curriculum based on the study of questions.

The course is structured in lectures and parallel workshops. During the second week, some collaborative activities are organised: a students' seminar to discuss participants' research works; a seminar on curriculum design experiences to share instructional proposals based on ATD or other frameworks; and more informal working and interacting activities.


Yves Chevallard, Aix-Marseille Université

Marianna Bosch, Universitat Ramon Llull


Hamid Chaachoua, Université de Grenoble 

Annie Bessot, Université de Grenoble

Britta Jessen, University of Copenhagen
Koji Otaki, Hokkaido University of Education
Verónica Parra, Universidad Nacional del Centro de la Provincia de Buenos Aires

Julia Pilet, ESPE de Créteil

Working and Interacting: contributed talks and posters 
During the second week of the course, participants can present a contributed talk or poster in the Working and interacting sessions.
If you wish to give a contributed talk or present a poster, please submit the following form before March 15th, 2019.
Resolutions will be sent by March 31st, 2019.
Poster size: "DinA0" vertically oriented.
Please note that submitting a proposal does not exempt the applicant from having to register to the course.
Application Form

*Only applications from pre-registered participants will be accepted.
In order to increase the number of young researchers participating in this activity, the CRM announces a call for those participants interested in taking part in this activity. This grant includes a reduced registration fee and housing in a shared apartment on campus from June 30th to July 13th, 2019
Application Form
Application deadline for grants: February 28th, 2019 (Resolutions will be sent by March 31st, 2019).
The EMS offers some travel grants to young mathematicians from less-favoured regions within the geographical area of EMS membership for presenting results at conferences or attending courses, or for research stays in foreign countries, normally up to a maximum of 900 euros in each case or 500 euros for trips within Europe.
Eligible researchers should use this online form in order to apply for travel grants.
Early bird registration fee: 200€ (until April 22nd, 2019)

Regular registration fee: 250€ 


Deadline for registration: May 12th, 2019 
Registration fee covers the course material, coffee breaks and lunches from July 1st to 5th, and a social dinner

Pack registration offers
Participants may take advantage of the pack registration offers:
a. Two Advanced Courses: 300€ (until May 12th, 2019)
AC1 + AC2
AC2 + AC3
AC3 + AC4
b. Three Advanced Courses: 450€ (until May 12th, 2019)
AC1 +AC2 + AC3
AC2 +AC3 + AC4
c. Four Advanced Courses: 600€ (until May 12th, 2019)
AC1 + AC2 + AC3 + AC4
Refund policy:
The registration fee depends on the date of the payment.
Cancellations received 1 month before the start of the activity will incur in an administrative fee of 50of the total amount.
Cancellations received less than one month prior to the start of the activity are not refundable.
You will be able to pay by card or bank transfer through the on-line registration system. If you need an invoice, please send an email to after you have completed the registration process until the "save data" button.


Lodging information
For lodging in the area please click here​.
The CRM has pre-booked some apartments at the Vila Universitària from June 30th to July 6th, 2019. You can check the details of the apartments - Premium Studio - on the link above).
If you wish to be accommodated there, please send an email to Ms. Aldara González at On the email you should state that you are a CRM participant, the exact dates of your stay, and the code CRM 19/53. These apartments are being held until March 30th, 2019, or until all apartments are filled.
For off-campus and family accommodation click here​​​.
Further information

For further information please contact the course's coordinator Ms. Alba Tomàs (