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.
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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 1 | 28 | 28 | 4 |
Commutative Algebra [MAMATH-165] (optional) |
Specialisation - Mathematics 1 | 30 | 30 | 8 |
Riemannian Geometry [MAMATH-166] (optional) |
Specialisation - Mathematics 1 | 30 | 30 | 8 |
Partial Differential Equations I [MAMATH-167] (optional) |
Specialisation - Mathematics 1 | 30 | 30 | 8 |
Algorithmic Number Theory [MAMATH-104] (optional) |
Specialisation - Mathematics 1 | 30 | 4 | |
Basics of Discrete Mathematics [MAMATH-6] (optional) |
Specialisation - Mathematics 1 | 30 | 4 | |
Probabilistic Models in Finance [MAMATH-168] (optional) |
Specialisation - Mathematics 1 | 45 | 6 | |
Student Project [MAMATH-109] (optional) |
Specialisation - Mathematics 1 | 0 | 4 | |
Numerical Analysis [MAMATH-169] (optional) |
Specialisation - Mathematics 1 | 45 | 6 | |
Probability (Stochastic Analysis) [MAMATH-170] (optional) |
Specialisation - Mathematics 1 | 30 | 15 | 6 |
Discrete-time stochastic processes [MAMATH-171] (optional) |
Specialisation - Mathematics 1 | 30 | 15 | 6 |
Complements to Graph Theory [F1_SECEDUC-25] (optional) |
Specialisation - Mathematics 1 | 1 | 1 | |
Introduction to Graph Theory [MA_DS-8] (optional) |
Specialisation - Mathematics 1 | 30 | 3 | |
Applied Didactics I [F1_SECEDUC-15] |
Didactics - Mathematics 1 | 30 | 2 | |
Applied Didactics II [F1_SECEDUC-16] |
Didactics - Mathematics 1 | 30 | 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 Schule | 26 | 4 | |
Einführung in die Schulpädagogik [F3_SECEDUC-11] |
General Competences I - Forschungsfeld Schule | 28 | 3 | |
Workshop zur Vorbereitung des Schulpraktikums für Studierende im 1.
Semester. [F3_SECEDUC-109] (optional) |
General Competences I - Forschungsfeld Schule | 10 | 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 2 | 60 | 8 | |
Riemann Surfaces [MAMATH-151] (optional) |
Module Specialisation - Mathematics 2 | 30 | 30 | 8 |
Advanced Stochastic Models and Financial Applications [MAMATH-89] (optional) |
Module Specialisation - Mathematics 2 | 30 | 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 2 | 30 | 2 | |
Algebraic Number Theory [MAMATH-155] (optional) |
Module Specialisation - Mathematics 2 | 45 | 6 | |
Partial Differential Equations II [MAMATH-156] (optional) |
Module Specialisation - Mathematics 2 | 30 | 30 | 8 |
Advanced Graph Theory [MAMATH-157] (optional) |
Module Specialisation - Mathematics 2 | 45 | 6 | |
Continuous Time Models in Mathematical Finance [MAMATH-158] (optional) |
Module Specialisation - Mathematics 2 | 30 | 30 | 8 |
Learning and teaching mathematics I [F1_SECEDUC-4] |
Module Didactics - Mathématics 2 | 30 | 2 | |
Hands-on experiences with mathematical didactics I [F1_SECEDUC-22] |
Module Didactics - Mathématics 2 | 30 | 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 II | 28 | 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 3 | 0 | 2 | |
Arithmetic Geometry [MAMATH-147] (optional) |
Specialisation - Mathematics 3 | 45 | 6 | |
Advanced Stochastic Modelling [MAMATH-89] (optional) |
Specialisation - Mathematics 3 | 30 | 5 | |
Advanced Discretization Methods [MAMATH-99] (optional) |
Specialisation - Mathematics 3 | 30 | 5 | |
Data Science [MAMATH-80] (optional) |
Specialisation - Mathematics 3 | 30 | 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 3 | 30 | 5 | |
Lie Algebras and Lie Groups [MAMATH-173] (optional) |
Specialisation - Mathematics 3 | 45 | 6 | |
Gaussian processes and applications [MAMATH-93] (optional) |
Specialisation - Mathematics 3 | 30 | 5 | |
Combinatorial Geometry [MAMATH-174] (optional) |
Specialisation - Mathematics 3 | 30 | 15 | 6 |
Applied Didactics III [F1_SECEDUC-18] |
Didactics - Mathematics 3 | 30 | 2 | |
Applied Didactics IV [F1_SECEDUC-19] |
Didactics - Mathematics 3 | 30 | 3 | |
Internship in secondary school II [F1_SECEDUC-20] |
Didactics - Mathematics 3 | 0 | 0 | |
Teaching Children with Special Educational Needs [F3_SECEDUC-51] (optional) |
General Competences III - Lehren und Lernen im sozialen Kontext | 28 | 3 | |
Einführung in die Pädagogische Psychologie [F3_SECEDUC-129] (optional) |
General Competences III - Lehren und Lernen im sozialen Kontext | 28 | 3 | |
Digitale Schule (3. Semester) [F3_SECEDUC-138] (optional) |
General Competences III - Lehren und Lernen im sozialen Kontext | 30 | 5 | |
Workshop zur Vor- und Nachbereitung des vertiefenden
Schulpraktikums [F3_SECEDUC-130] (optional) |
General Competences III - Lehren und Lernen im sozialen Kontext | 26 | 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 4 | 30 | 2 | |
Hands-on experiences with mathematical didactics II [F1_SECEDUC-23] |
Module Didactics - Mathematics 4 | 30 | 3 | |
Master Thesis [MAMATH-7] |
Module Specialisation - Mathematics 4 | 1 | 20 | |
Workshop Professionell Auftreten [F3_SECEDUC-15] |
Module 4.3 : General Professionnal Competence IV - FHSE | 28 | 2 | |
Workshop: Nachbereitung des vertiefenden Schulpraktikums [F3_SECEDUC-156] |
Module 4.3 : General Professionnal Competence IV - FHSE | 10 | 2 |