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.

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Semestre 1 (Winter 2021-2022)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Computational Science 2 [F1_BAINFOR-47] (optionnel)	Specialisation Mathematics 1	28	28	4
Commutative Algebra [MAMATH-1] (optionnel)	Specialisation Mathematics 1	30	30	8
Riemannian Geometry [MAMATH-124] (optionnel)	Specialisation Mathematics 1	30	30	8
Partial Differential Equations I [MAMATH-3] (optionnel)	Specialisation Mathematics 1	30	30	8
Algorithmic Number Theory [MAMATH-104] (optionnel)	Specialisation Mathematics 1	30		4
Basics of Discrete Mathematics [MAMATH-6] (optionnel)	Specialisation Mathematics 1	30		4
Probabilistic Models in Finance [MAMATH-9] (optionnel)	Specialisation Mathematics 1	45		6
Student Project [MAMATH-109] (optionnel)	Specialisation Mathematics 1	0		4
Numerical Analysis [MAMATH-82] (optionnel)	Specialisation Mathematics 1		45	6
Probability (Stochastic Analysis) [MAMATH-23] (optionnel)	Specialisation Mathematics 1	30	15	6
Discrete-time stochastic processes [MAMATH-4] (optionnel)	Specialisation Mathematics 1	30	15	6
Introduction to Graph Theory [MA_DS-8] (optionnel)	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
Einführung in die Schulpädagogik [F3_SECEDUC-11]	General Competences I - Forschungsfeld Schule	26		3
Workshop zur Vorbereitung des Schulpraktikums für Studierende 1. Semester [F3_SECEDUC-109] (optionnel)	General Competences I - Forschungsfeld Schule	10		3

Semestre 2 (Summer 2020-2021)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Probability (stochastic analysis) [MAMATH-23] (optionnel)	Module 1	45		5
Homological Algebra [MAMATH-50]	Module 1	45		5
Partial Differential Equations II [MAMATH-22]	Module 1	45		5
Graph theory [MAMATH-132] (optionnel)	Module 1	45		5
Student Seminar [MAMATH-32] (optionnel)	Module 2	60		3
Algebraic Number Theory [MAMATH-24] (optionnel)	Module 2	30		4
Introduction to Continuous Time Models in Mathematical Finance [MAMATH-26] (optionnel)	Module 2	30		4
Numerical Analysis [MAMATH-82] (optionnel)	Module 2	30		4
An introduction to mathematical statistics [MAMATH-123] (optionnel)	Module 2	30		4
Reading course "complements to Homological Algebra" [MAMATH-137] (optionnel)	Module 2	15		1
Reading course "complements to Partial Differential Equation II" [MAMATH-138] (optionnel)	Module 2	15		1
Reading course "complements to Graph Theory" [MAMATH-139] (optionnel)	Module 2	15		1
Reading course "complements to Probability (stochastic analysis) [MAMATH-140] (optionnel)	Module 2	15		1
Learning and teaching mathematics I [F1_SECEDUC-4]	Module 3	30		2
Hands-on experiences with mathematical didactics I [F1_SECEDUC-22]	Module 3	30		3
General Professional Competence II-IV [F1_SECEDUC-12]	Module 4 : General Professional Competence II	1		5
Mehrsprachigkeit im Sprach- und Fachunterricht [F3_SECEDUC-27]	Module 4 : General Professional Competence II	28		3
Semester 2: Workshop zur Nachbereitung des orientierenden Schulpraktikums (de) [F3_SECEDUC-123]	Module 4 : General Professional Competence II	18		2

Semestre 3 (Winter 2021-2022)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Arithmetic Geometry [MAMATH-147] (optionnel)	Specialisation Mathematics 3	45		6
Advanced Discretization Methods [MAMATH-99] (optionnel)	Specialisation Mathematics 3	30		5
Advanced Stochastic Modelling [MAMATH-89] (optionnel)	Specialisation Mathematics 3	30		5
Data Science [MAMATH-80] (optionnel)	Specialisation Mathematics 3	30		5
Numerical solution of partial differential equations and applications [MAMATH-81] (optionnel)	Specialisation Mathematics 3		30	5
Continuous-Time Stochastic Calculus and Interest Rate Models [MAMATH-90] (optionnel)	Specialisation Mathematics 3	30		5
Lie Algebras and Lie Groups [MAMATH-21] (optionnel)	Specialisation Mathematics 3	45		6
Combinatorial Geometry [MAMATH-120] (optionnel)	Specialisation Mathematics 3	30	15	6
Gaussian processes and applications [MAMATH-93] (optionnel)	Specialisation Mathematics 3	30		5
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] (optionnel)	General Competences III - Lehren und Lernen im sozialen Kontext	28		3
Einführung in die Pädagogische Psychologie [F3_SECEDUC-129] (optionnel)	General Competences III - Lehren und Lernen im sozialen Kontext	28		3
Digitale Schule (Semester 3) [F3_SECEDUC-138] (optionnel)	General Competences III - Lehren und Lernen im sozialen Kontext	28		5
Workshop zur Vorbereitung des Schulpraktikums für Studierende (3. Semester) [F3_SECEDUC-130] (optionnel)	General Competences III - Lehren und Lernen im sozialen Kontext	10		3

Semestre 4 (Summer 2020-2021)

		CM (hours)	TD (hours)	ECTS
TOTAL (mandatory / optional)		0 / 0	0 / 0	0 / 0
Learning and teaching mathematics II [F1_SECEDUC-4]	Module 4.1	30		2
Hands-on experiences with mathematical didactics II [F1_SECEDUC-23]	Module 4.1	0		3
Master Thesis [MAMATH-7]	Module 4.2	1		20