Course MAT-20-21-K-5
Didactics of Stochastics (2V, 3.0 LP)
Course Type
| SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
|---|---|---|---|---|---|
| 2 | V | Lecture with integrated exercises | 3.0 CP | 28 h | 62 h |
| (2V) | 3.0 CP | 28 h | 62 h | ||
Basedata
| SWS | 2V |
|---|---|
| CP, Effort | 3.0 CP = 90 h |
| Position of the semester | 1 Sem. irreg. |
| Level | [5] Master (Entry Level) |
| Language | [DE] German |
| Lecturers | |
| Area of study | [MAT-EDU] Mathematics (B.Ed./M.Ed.) |
| Livecycle-State | [NORM] Active |
Possible Study achievement
- Verification of study performance: proof of successful participation in the exercise classes (ungraded)
- Details of the examination (type, duration, criteria) will be announced at the beginning of the course.
Contents
- Elementares Wahrscheinlichkeitsdenken bei Kindern und Jugendlichen;
- elementare kombinatorische Abzählverfahren;
- anwendungsorientierte und didaktische Zugänge zu: Datenerfassung und -strukturierung sowie Visualisierungen;
- Unterscheidung verschiedener Wahrscheinlichkeitsbegriffe und deren Zugänge;
- Bedeutung der Simulation und Einsatz von Software; Paradoxien in der Stochastik;
- Grundfragen der beurteilenden Statistik, Konfidenzintervalle;
- Behandlung der Normalverteilung im Schulunterricht;
- statistische Testverfahren;
- Beziehungen zur Analysis und zur Linearen Algebra (z.B. Markov-Ketten, Modellbildungsprozesse);
- Fragen zur Fachleistungsdifferenzierung;
Literature
- H.-H. Wolpers: Mathematikunterricht in der Sekundarstufe II, Band 3: Didaktik der Stochastik,
- A. Büchter, H.-W. Henn: Elementare Stochastik,
- A. Eichler, M. Vogel: Leitidee Daten und Zufall.
Materials
Further literature will be announced in the lecture; Exercise material is provided.
Registration
Registration via the online administration system URM (https://urm.mathematik.uni-kl.de)
Requirements for attendance (informal)
Modules:
- [MAT-10-11-M-2] Fundamentals of Mathematics A: Linear Algebra I and Analysis I (M, 15.0 LP)
- [MAT-14-14L-M-3] Mathematics as Solution Potential B: Introduction to Stochastics (Gym, RS) (M, 8.0 LP)
Courses
Requirements for attendance (formal)
None
References to Course [MAT-20-21-K-5]
| Module | Name | Context | |
|---|---|---|---|
| [MAT-20-20LBBS-M-5] | Teaching Methodology in Mathematics (Master BBS) | WP: Obligation to choose in Obligatory-Modulteil #B (Compulsory Elective Courses) | 2V, 3.0 LP |
| [MAT-20-20L-M-5] | Teaching Methodology in Mathematics (Master Gym, RS) | WP: Obligation to choose | 2V, 3.0 LP |