Didactics and epistemology of mathematics - Part A (general questions)

Language

French

Prerequisites

Voir Partims

Content

This teaching unit consists of "equipping" students to become future teachers of mathematics at the upper secondary level (basic and general mathematics options only). The aim is not only to present the elements of didactics and epistemology related to the teaching of mathematics but also to ensure the transfer and appropriation of these tools by future teachers.
We will deal with the construction of mathematical knowledge in students through the study of themes from the secondary school program, addressing, for example, questions such as :
    - How to exploit students' representations and errors to teach mathematical concepts and theories?
    - How to identify epistemological obstacles to learning?
    - What types of learning situations can be proposed in a mathematics course?
    - What is the role of the teacher in the context of a research activity on a problem?
    - How can we encourage students to develop a real capacity for reasoning and arguing?
    - What should we look for when evaluating students' learning?
    ...

Teaching methods

The course is largely based on interactions with students. Students will be actively involved, for example, in problem solving and in the research and analysis of teaching sequences. Attendance is therefore essential and mandatory.
Readings will be offered to enrich and deepen the interaction between students and teachers.
Students will also be required to complete an observation period in a variety of classes.

Evaluation methods

In this course, students are assessed in several ways :

•     Continuous assessment during the first term (5% of the final grade): preparations, readings, assignments, active participation in the course; this part of the grade will be used for each session and may not be repeated;
•     a written examination, open-ended and closed-book, in the January and/or September term covering both
  • the concepts to be taught in the 2nd and 3rd grades in mathematics, in transitional (basic and general mathematics) and qualifying education (35% of the final mark)
  • and on the basic concepts of didactics and epistemology of mathematics covered in the course (35% of the final mark)
•     the compulsory report on the observation period, to be submitted at the end of the second term (25%).

In order to pass this course, both the written exam and the report must be passed.

• In the event of failure in at least one of these two parts, the overall grade for the unit will be calculated as the minimum between the weighted average of the different parts according to the coefficients indicated above and a 9/20.
• In the event of a serious deficiency (score less than or equal to 6/20) in at least one of these two parts, the overall score will be equal to the minimum of the scores of the different parts.
  

Attendance is required. From the 2d unjustified absence over the year or in the event of preparations not being made on time, the mark for the continuous evaluation part will be set to 0. Moreover, in accordance with article 72 of the General Regulations for Studies and Examinations, the course instructors may propose to the jury that it refuse to register a student who has not attended at least 80% of the courses during the January, June and/or September session.
The use of generative AI as part of the work to be produced in this teaching unit is not authorized.

Other information

Complementary course to the general didactics course, to be taken preferably in parallel or after the latter.
An elective course for Aggregation students with a major in Geography, Physics, Chemistry or Biology.
The course is only given in Q1. The observation period may be taken in Q1 and/or Q2.

Online resources

The documents related to the courses are deposited on the online educational platform.

Bibliography

Faculty or entity

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