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CRM > English > Activities > Curs 2018-2019 > Advanced Course 1. Dialogue between theories in Mathematics Education (in Spanish and English)*
Advanced Course 1. Dialogue between theories in Mathematics Education (in Spanish and English)*


General information

From June 3rd to 14th, 2019
Advanced course's information

Coordinator:  Pedro Nicolás, Universidad de Murcia

The course originates from the answers proposed by different theoretical frameworks to the question of the role played by normative prescription and value judgements in didactics (Gascón & Nicolás, 2017). This work highlighted the need to explain the relations between the assumed educational aims, on the one hand, and the basic assumptions and research results of each theory, on the other hand.
In this course, we will scrutinise these relations in the case of the Theory of Objectification (Luis Radford), the APOS Theory (María Trigueros), the Theory of Didactic Situations (Claire Margolinas), the Onto-Semiotic Approach (Juan D. Godino), and the Anthropological Theory of the Didactic (Josep Gascón & Pedro Nicolás). There will be a collaborative seminar to jointly analyse how each theory deals with a given problem. The course will finish with a comparison between the different frameworks by Michèle Artigue and a closing lecture by Yves Chevallard.

* The course will be held in Spanish but slides will be available in English.


Michèle Artigue, Université de París Diderot
Yves Chevallard, Aix-Marseille Université
Josep Gascón, Universitat Autònoma de Barcelona
Juan D. Godino, Universidad de Granada
Claire Margolinas, ESPE Clemont-Auvergne
María Trigueros, ITAM


​ WEEK 1 ​ June 3rd  ​June 4th ​ June 5th ​June 6th ​June 7th


9h30 - 11h
 11h - 11h30
 11h30 - 13h
 Course Presentation: Can
 didactics say how to teach?
 (J. Gascón i P. Nicolás)
9h30 - 13h

 Workshop 1
9h30 - 13h

 Workshop 2

9h30 - 13h

 Workshop 3
9h30 - 13h

 Workshop 4
15h - 18h30 

 Lecture 1

 Seminar 1

15h - 18h30

  Lecture 2

  Seminar 2
15h - 18h30

 Lecture 3

 Seminar 3
15h - 18h30

 Lecture 4

 Seminar 4
15h - 18h30

 Lecture 5

 Seminar 5
​ WEEK 2 ​ June 10th
 ​June 11th June 12th June 13th ​ June 14th




9h30 - 13h

 Workshop 5
10h - 13h 

 Working and
10h - 13h 

 Working and

10h - 13h 

 Working and

15h - 17h

 Closing lecture


15h - 17h

 Working and

15h - 17h

Working and
Working and Interacting: contributed talks and poster session
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 31st, 2019 (extended deadline).
Resolutions will be send by April 8th, 2019.
Poster size: "DinA0" vertically oriented.
Please note that submitting a proposal does not exempt the applicant from having to register to the course.
*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 2nd to June 15th, 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 June 3rd to 11th, 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)
b. Three Advanced Courses: 450€ (until May 12th, 2019)
c. Four Advanced Courses: 600€ (until May 12th, 2019)
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 2nd to 15th, 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 19/51. These apartments are being held until March 15th, 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 (