Didactics and epistemology of mathematics

Teacher(s)

Coyette Cécile (compensates Ninove Laure); Ninove Laure;

Language

French

Prerequisites

Voir Partims

Main themes

Voir Partims

Content

• the course corresponding to the Partim LMAT2320A,
• and a 10-hour listening internship in mathematics classes in upper secondary school.

The course consists of "equipping" students to teach mathematics at the upper secondary level (basic mathematics options and general mathematics only). The aim here is not only to present the didactic and epistemological elements relating to the teaching of mathematics but also to ensure the transfer and appropriation of these tools by future teachers. We will address conceptual frameworks in mathematics didactics as well as didactic tools for analyzing teaching/learning situations or student productions, and will deal with the construction of mathematical knowledge in students through the study of themes of the secondary school curriculum, addressing, for example, questions such as:

• Why offer students research activities on a problem, and how can this type of activity be managed in such a way as to promote student engagement, reflection, and learning?
• How can we exploit students' representations and errors to teach mathematical concepts and theories?
• How can we identify the epistemological obstacles related to learning?
• What types of learning situations can be offered in a math class?
• How can we promote in students a real ability to reason and argue in mathematics?
• What should we pay attention to when assessing student learning?
• …

Teaching methods

Evaluation methods

• continuous evaluation conducted during the semester (5% of the grade): preparations, readings, active participation in the course; this part of the note will be used for each session and cannot be performed; 
• a written examination during the January (and/or September) session, with open questions and closed book, covering both
  • on the concepts of didactics and epistemology covered in the course (one-sided checklist authorized (60% of the grade),
  • on the concepts to be taught in the 2nd and 3rd grades in mathematics, in transitional education (basic and general mathematics) and qualification (10% of the mark);
• the mandatory report of the listening internship, to be submitted on Moodle before the first day of the exam session (25% of the grade).

In the event of a mark less than or equal to 7/20 in at least one of the parts between the examination on the concepts of didactics, the examination on the concepts to be taught and the report of the listening course, the principle of the absorbing mark is applied to this course unit. In other words, in this case, the overall score will be equal to the minimum of the scores of these three parts. Attendance at the course is required. From the 2nd unjustified absence or in the event of preparations not carried out on time, the mark for the continuous assessment part will be set to 0. In addition, course holders may, pursuant to Article 72 of the general regulations for studies and examinations, propose to the jury to oppose the registration of a student who has not attended at least 80% of the courses or who has not carried out a compulsory activity, during the January and/or September session.
The use of generative AI for work produced in this course unit is not permitted unless otherwise specified. In such cases, any use of generative artificial intelligence within this course unit must comply with the Guidelines for the Responsible Use of Generative Artificial Intelligence in the Faculty of Science (https://uclouvain.be/en/ai/documents). The use of AI must be explicitly acknowledged and referenced in accordance with the applicable rules. In all cases, students remain responsible for the content of their work, regardless of the sources used.

Other information

See Partims

Online resources

Available on Moodle UCLouvain, course code LMAT2320. The Moodle space contains documents presented and used during classes and allows students to submit their work. The Perusall platform is also used for readings.

Bibliography

Des ouvrages et publication scientifiques en relation avec les disciplines enseignées et avec la pratique seront présentés lors des cours. Les références seront disponibles sur Moodle.

Faculty or entity

> SC