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Master en Enseignement Secondaire - Mathématiques

Le programme comprend notamment des cours en didactique, en sciences de l’éducation, en sociologie de l’éducation et en psychologie, afin de doter les étudiants des aptitudes nécessaires pour comprendre et relever les défis liés à l’enseignement dans un système scolaire multiculturel et multilingue.

Les particularités de l’apprentissage au Luxembourg sont au cœur du programme. Au terme de cette formation, les étudiants seront capables de gérer le multilinguisme et la multiculturalité en classe à l’aide d'outils pédagogiques adéquats.

Semestre 1 (Winter 2023-2024)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Commutative Algebra
[MAMATH-165]
  (optionnel)
Specialisation - Mathematics 130 30 8
Riemannian Geometry
[MAMATH-166]
  (optionnel)
Specialisation - Mathematics 145 15 8
Partial Differential Equations I
[MAMATH-167]
  (optionnel)
Specialisation - Mathematics 130 30 8
Basics of Discrete Mathematics
[MAMATH-6]
  (optionnel)
Specialisation - Mathematics 130 4
Student Project
[MAMATH-109]
  (optionnel)
Specialisation - Mathematics 10 4
Probability (Stochastic Analysis)
[MAMATH-170]
  (optionnel)
Specialisation - Mathematics 130 30 6
Discrete-time stochastic processes
[MAMATH-171]
  (optionnel)
Specialisation - Mathematics 145 6
Complements to Graph Theory
[F1_SECEDUC-25]
  (optionnel)
Specialisation - Mathematics 11 1
Mathematical Statistics
[MA_DS-1]
  (optionnel)
Specialisation - Mathematics 160 30 5
Introduction to Graph Theory
[MA_DS-8]
  (optionnel)
Specialisation - Mathematics 130 3
Applied Didactics I
[F1_SECEDUC-15]
Didactics - Mathematics 130 2
Applied Didactics II
[F1_SECEDUC-16]
Didactics - Mathematics 130 3
Internship in a secondary school I
[F1_SECEDUC-17]
Didactics - Mathematics 1 0
Einführung in die Schulpädagogik
[F3_SECEDUC-197]
General Competences I - Forschungsfeld Schule28 3
Digitale Didaktik
[F3_SECEDUC-2]
General Competences I - Lehren und Lernen28 4

Semestre 2 (Summer 2022-2023)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Algebraic Topology
[MAMATH-150]
  (optionnel)
Specialisation - Mathematics 260 8
Riemann Surfaces
[MAMATH-151]
  (optionnel)
Specialisation - Mathematics 230 30 8
Advanced Stochastic Models and Financial Applications
[MAMATH-89]
  (optionnel)
Specialisation - Mathematics 230 5
Numerical Methods for Variational Problems
[MAMATH-152]
  (optionnel)
Specialisation - Mathematics 2 30 5
Numerical solution of partial differential equations and applications
[MAMATH-153]
  (optionnel)
Specialisation - Mathematics 2 45 6
Student seminar
[MAMATH-154]
  (optionnel)
Specialisation - Mathematics 230 2
Algebraic Number Theory
[MAMATH-155]
  (optionnel)
Specialisation - Mathematics 245 6
Partial Differential Equations II
[MAMATH-156]
  (optionnel)
Specialisation - Mathematics 230 30 8
Advanced Graph Theory
[MAMATH-157]
  (optionnel)
Specialisation - Mathematics 245 6
Continuous Time Models in Mathematical Finance
[MAMATH-158]
  (optionnel)
Specialisation - Mathematics 230 30 8
Learning and teaching mathematics I
[F1_SECEDUC-4]
Didactics - Mathématics 230 2
Hands-on experiences with mathematical didactics I
[F1_SECEDUC-22]
Didactics - Mathématics 230 3
Mehrsprachigkeit im Sprach- und Fachunterricht (MATH): L'importance des différents langages en mathématiques (appliquée au système éducatif luxembourgeois)
[F3_SECEDUC-182]
  (optionnel)
General Professional Competence II - Multilingualism and Heterogeneity28 3

Semestre 3 (Winter 2023-2024)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Student Group Project
[MAMATH-144]
  (optionnel)
Specialisation - Mathematics 30 2
Arithmetic Geometry
[MAMATH-147]
  (optionnel)
Specialisation - Mathematics 345 6
Algebraic Geometry
[MAMATH-176]
  (optionnel)
Specialisation - Mathematics 345 6
Stochastic Analysis and PDE
[MAMATH-177]
  (optionnel)
Specialisation - Mathematics 330 5
Complements to Student Group Project
[MAMATH-179]
  (optionnel)
Specialisation - Mathematics 30 1
Data Science
[MAMATH-80]
  (optionnel)
Specialisation - Mathematics 330 5
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optionnel)
Specialisation - Mathematics 330 5
Lie Algebras and Lie Groups
[MAMATH-173]
  (optionnel)
Specialisation - Mathematics 345 6
Combinatorial Geometry
[MAMATH-174]
  (optionnel)
Specialisation - Mathematics 330 15 6
Gaussian processes and applications
[MAMATH-93]
  (optionnel)
Specialisation - Mathematics 330 5
Applied Didactics III
[F1_SECEDUC-18]
Didactics - Mathematics 330 2
Applied Didactics IV
[F1_SECEDUC-19]
Didactics - Mathematics 330 3
Einführung in die Pädagogische Psychologie
[F3_SECEDUC-129]
  (optionnel)
General Competences III - Mehrsprachigkeit und Heterogenität28 3
Enseignement - apprentissage : aperçu sur les grands courants théoriques
[F3_SECEDUC-189]
  (optionnel)
General Competences III - Mehrsprachigkeit und Heterogenität28 3
Allgemeine Didaktik II: Classroom Management
[F3_SECEDUC-188]
General Competence III - Forschungsfeld Schule38 6

Semestre 4 (Summer 2022-2023)

CM (hours)TD (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Learning and teaching mathematics II
[F1_SECEDUC-24]
Didactics - Mathematics 430 2
Hands-on experiences with mathematical didactics II
[F1_SECEDUC-23]
Didactics - Mathematics 430 3
Master Thesis
[MAMATH-7]
Master Thesis - Mathematics1 20
PROFESSIONELL Auftreten (Sem4)
[F3_SECEDUC-126]
Module 4.3 : General Professionnal Competence IV - FHSE28 2