History and epistemology of mathematics

lmat2170  2024-2025  Louvain-la-Neuve

History and epistemology of mathematics
5.00 credits
30.0 h + 15.0 h
Q2
Language
French
Main themes
Using elements from the history of mathematics and in relation to the practice of learning, teaching and research in mathematics, we will identify and analyze the construction and foundations of mathematical knowledge.
Learning outcomes

At the end of this learning unit, the student is able to :

  • Describe the historical construction of certain mathematical concepts and theories.
  • Analyze how mathematics is developed and established in situations in the history of mathematics, teaching and research.
  • Identify the specific features of mathematics in relation to other disciplines.
  • Identify epistemological issues in teaching and research situations.
 
Content
The following themes will be presented:
- The mathematical notion of a number, from Antiquity till today,
- Pythagora's theorem and its history,
- The axiomatic approach and Euclid's Elements,
- Epistemic links between mathematics and physics.
Teaching methods
The learning activities consist of lectures and practical work sessions. The lectures aim to introduce the fundamental concepts and their historical and epistemological perspective. The practical work sessions put these concepts into practice; they will be partially dedicated to the completion of productions and presentations by the students, that will be taken into account in the final assessment.
Evaluation methods
The assessment includes the students' productions completed during the term, counting for 25% of the final grade, and a written exam in session, counting for 75% of the final grade. The grade for the students' productions completed during the term is acquired once and for all, and will be taken into account according to the same ratio in the third session (September session). The written exam includes open-ended questions that aim to test both the understanding of the subject and the ability to analyze and reflect by combining the study of documents and the content of the course.
Online resources
Moodle course page.
Faculty or entity


Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Additionnal module in Mathematics

Master [120] in Mathematics