History and epistemology of mathematics

lmat2170  2026-2027  Louvain-la-Neuve

History and epistemology of mathematics
5.00 credits
30.0 h + 15.0 h
Q1
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 course content will notably concern the following themes:
- The mathematical notion of a number, from Antiquity till today,
- Pythagora's theorem and its history,
- The binomial 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 by the students, that will help preparing the final assessment.
Evaluation methods
The assessment consists of a written exam in 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, the content of the course and the mastery of the learning activities realized during the practical work sessions.
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

Master [120] of Education, Section 4 : Mathematics

Minor in mathematics teaching