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Master en Enseignement Secondaire - Mathematik

Zusätzlich zu den Kursen in den Kernfächern bietet das Masterprogramm Veranstaltungen in Didaktik, Erziehungswissenschaften, Bildungssoziologie und Bildungspsychologie an, sodass die Studierenden die benötigen Fähigkeiten erwerben, um den Herausforderungen des Lehrens und Lernens in einem multikulturellen und mehrsprachigen Schulsystem entsprechend begegnen zu können.

Dabei berücksichtigt das Programm die spezifischen Lernbedingungen in Luxemburg. In diesem Zusammenhang werden die Studierenden unter Einsatz von pädagogischen Hilfsmitteln dazu befähigt, mit Mehrsprachigkeit und Multikulturalität im Klassenzimmer angemessen umzugehen.

 

Semester 1 (Winter 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Computational Science 2
[F1_BAINFOR-47]
  (optional)
Specialisation - Mathematics 128 28 4
Commutative Algebra
[MAMATH-165]
  (optional)
Specialisation - Mathematics 130 30 8
Riemannian Geometry
[MAMATH-166]
  (optional)
Specialisation - Mathematics 130 30 8
Partial Differential Equations I
[MAMATH-167]
  (optional)
Specialisation - Mathematics 130 30 8
Algorithmic Number Theory
[MAMATH-104]
  (optional)
Specialisation - Mathematics 130 4
Basics of Discrete Mathematics
[MAMATH-6]
  (optional)
Specialisation - Mathematics 130 4
Probabilistic Models in Finance
[MAMATH-168]
  (optional)
Specialisation - Mathematics 145 6
Student Project
[MAMATH-109]
  (optional)
Specialisation - Mathematics 10 4
Numerical Analysis
[MAMATH-169]
  (optional)
Specialisation - Mathematics 1 45 6
Probability (Stochastic Analysis)
[MAMATH-170]
  (optional)
Specialisation - Mathematics 130 15 6
Discrete-time stochastic processes
[MAMATH-171]
  (optional)
Specialisation - Mathematics 130 15 6
Complements to Graph Theory
[F1_SECEDUC-25]
  (optional)
Specialisation - Mathematics 11 1
Introduction to Graph Theory
[MA_DS-8]
  (optional)
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
Digitale Schule (1. Semester)
[F3_SECEDUC-172]
General Competences I - Forschungsfeld Schule26 4
Einführung in die Schulpädagogik
[F3_SECEDUC-11]
General Competences I - Forschungsfeld Schule28 3
Workshop zur Vorbereitung des Schulpraktikums für Studierende im 1. Semester.
[F3_SECEDUC-109]
  (optional)
General Competences I - Forschungsfeld Schule10 0

Semester 2 (Summer 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Algebraic Topology
[MAMATH-150]
  (optional)
Module Specialisation - Mathematics 260 8
Riemann Surfaces
[MAMATH-151]
  (optional)
Module Specialisation - Mathematics 230 30 8
Advanced Stochastic Models and Financial Applications
[MAMATH-89]
  (optional)
Module Specialisation - Mathematics 230 5
Numerical Methods for Variational Problems
[MAMATH-152]
  (optional)
Module Specialisation - Mathematics 2 30 5
Numerical solution of partial differential equations and applications
[MAMATH-153]
  (optional)
Module Specialisation - Mathematics 2 45 6
Student seminar
[MAMATH-154]
  (optional)
Module Specialisation - Mathematics 230 2
Algebraic Number Theory
[MAMATH-155]
  (optional)
Module Specialisation - Mathematics 245 6
Partial Differential Equations II
[MAMATH-156]
  (optional)
Module Specialisation - Mathematics 230 30 8
Advanced Graph Theory
[MAMATH-157]
  (optional)
Module Specialisation - Mathematics 245 6
Continuous Time Models in Mathematical Finance
[MAMATH-158]
  (optional)
Module Specialisation - Mathematics 230 30 8
Learning and teaching mathematics I
[F1_SECEDUC-4]
Module Didactics - Mathématics 230 2
Hands-on experiences with mathematical didactics I
[F1_SECEDUC-22]
Module 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]
Module 4 : General Professional Competence II28 3

Semester 3 (Winter 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Student Group Project
[MAMATH-144]
  (optional)
Specialisation - Mathematics 30 2
Arithmetic Geometry
[MAMATH-147]
  (optional)
Specialisation - Mathematics 345 6
Advanced Stochastic Modelling
[MAMATH-89]
  (optional)
Specialisation - Mathematics 330 5
Advanced Discretization Methods
[MAMATH-99]
  (optional)
Specialisation - Mathematics 330 5
Data Science
[MAMATH-80]
  (optional)
Specialisation - Mathematics 330 5
Numerical solution of partial differential equations and applications
[MAMATH-81]
  (optional)
Specialisation - Mathematics 3 30 5
Continuous-Time Stochastic Calculus and Interest Rate Models
[MAMATH-90]
  (optional)
Specialisation - Mathematics 330 5
Lie Algebras and Lie Groups
[MAMATH-173]
  (optional)
Specialisation - Mathematics 345 6
Gaussian processes and applications
[MAMATH-93]
  (optional)
Specialisation - Mathematics 330 5
Combinatorial Geometry
[MAMATH-174]
  (optional)
Specialisation - Mathematics 330 15 6
Applied Didactics III
[F1_SECEDUC-18]
Didactics - Mathematics 330 2
Applied Didactics IV
[F1_SECEDUC-19]
Didactics - Mathematics 330 3
Internship in secondary school II
[F1_SECEDUC-20]
Didactics - Mathematics 30 0
Teaching Children with Special Educational Needs
[F3_SECEDUC-51]
  (optional)
General Competences III - Lehren und Lernen im sozialen Kontext28 3
Einführung in die Pädagogische Psychologie
[F3_SECEDUC-129]
  (optional)
General Competences III - Lehren und Lernen im sozialen Kontext28 3
Digitale Schule (3. Semester)
[F3_SECEDUC-138]
  (optional)
General Competences III - Lehren und Lernen im sozialen Kontext30 5
Workshop zur Vor- und Nachbereitung des vertiefenden Schulpraktikums
[F3_SECEDUC-130]
  (optional)
General Competences III - Lehren und Lernen im sozialen Kontext26 3

Semester 4 (Summer 2021-2022)

Vorl. (hours)Übung (hours)ECTS
TOTAL (mandatory / optional) 0 / 0 0 / 0 0 / 0
Learning and teaching mathematics II
[F1_SECEDUC-24]
Module Didactics - Mathematics 430 2
Hands-on experiences with mathematical didactics II
[F1_SECEDUC-23]
Module Didactics - Mathematics 430 3
Master Thesis
[MAMATH-7]
Module Specialisation - Mathematics 41 20
Workshop Professionell Auftreten
[F3_SECEDUC-15]
Module 4.3 : General Professionnal Competence IV - FHSE28 2
Workshop: Nachbereitung des vertiefenden Schulpraktikums
[F3_SECEDUC-156]
Module 4.3 : General Professionnal Competence IV - FHSE10 2