814171 VO Probability theory a. Statist. f. student teachers (2005S)
Probability theory and Statistics for student teachers
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Aims, contents and method of the course
Assessment and permitted materials
Minimum requirements and assessment criteria
Understanding of basic ideas concerning
probability theory and statistics and being able to deal with elementary stochastical methods.
probability theory and statistics and being able to deal with elementary stochastical methods.
Examination topics
Lecture given in the classical way.
Reading list
Bosch, Karl: Elementare Einführung in die Wahrscheinlichkeitsrechnung.
Vieweg, Braunschweig/Wiesbaden 2003 (8. Auflage).Bosch, Karl: Elementare Einführung in die angewandte Statistik. Vieweg, Braunschweig/Wiesbaden 2000 (7., verbesserte und erweiterte Auflage).Fisz, Marek: Wahrscheinlichkeitsrechnung und mathematische Statistik. VEB Deutscher Verlag der Wissenschaften, Berlin 1962 (2. Auflage).Giri, Narayan C.: Introduction to probability and statistics. STATISTICS: Textbooks and Monographs. A Series Edited by Owen, D. B., Schucany W. R. et al. Marcel Dekker, New York et al. 1993 (second edition, revised and expanded).Grimmet, Geoffrey and Stirzaker, David: Probability and Random Processes. Clarendon Press, Oxford 1982.Grimmett, Geoffrey and Welsh, Dominic: Probability: an introduction. Clarendon Press, Oxford 1986.Henze, Norbert: Stochastik für Einsteiger. Eine Einführung in die faszinierende Welt des Zufalls. Vieweg, Braunschweig/Wiesbaden 2003 (4., verbesserte Auflage).Hübner, Gerhard: Stochastik. Eine anwendungsorientierte Einführung für
Informatiker, Ingenieure und Mathematiker. Vieweg, Braunschweig/Wiesbaden 2002 (3., überarbeitete Auflage).Krengel, Ulrich: Einführung in die Wahrscheinlichkeitstheorie und Statistik.
Für Studium, Berufspraxis und Lehramt. Vieweg, Braunschweig/Wiesbaden 2003 (7., überarbeitete Auflage).Krickeberg, Klaus und Ziezold, Herbert: Stochastische Methoden. Springer-Verlag, Berlin u. a.1995 (4., neubearbeitete und erweiterte Auflage).Fortsetzung siehe zugehöriges Proseminar!
Vieweg, Braunschweig/Wiesbaden 2003 (8. Auflage).Bosch, Karl: Elementare Einführung in die angewandte Statistik. Vieweg, Braunschweig/Wiesbaden 2000 (7., verbesserte und erweiterte Auflage).Fisz, Marek: Wahrscheinlichkeitsrechnung und mathematische Statistik. VEB Deutscher Verlag der Wissenschaften, Berlin 1962 (2. Auflage).Giri, Narayan C.: Introduction to probability and statistics. STATISTICS: Textbooks and Monographs. A Series Edited by Owen, D. B., Schucany W. R. et al. Marcel Dekker, New York et al. 1993 (second edition, revised and expanded).Grimmet, Geoffrey and Stirzaker, David: Probability and Random Processes. Clarendon Press, Oxford 1982.Grimmett, Geoffrey and Welsh, Dominic: Probability: an introduction. Clarendon Press, Oxford 1986.Henze, Norbert: Stochastik für Einsteiger. Eine Einführung in die faszinierende Welt des Zufalls. Vieweg, Braunschweig/Wiesbaden 2003 (4., verbesserte Auflage).Hübner, Gerhard: Stochastik. Eine anwendungsorientierte Einführung für
Informatiker, Ingenieure und Mathematiker. Vieweg, Braunschweig/Wiesbaden 2002 (3., überarbeitete Auflage).Krengel, Ulrich: Einführung in die Wahrscheinlichkeitstheorie und Statistik.
Für Studium, Berufspraxis und Lehramt. Vieweg, Braunschweig/Wiesbaden 2003 (7., überarbeitete Auflage).Krickeberg, Klaus und Ziezold, Herbert: Stochastische Methoden. Springer-Verlag, Berlin u. a.1995 (4., neubearbeitete und erweiterte Auflage).Fortsetzung siehe zugehöriges Proseminar!
Association in the course directory
Last modified: Fr 31.08.2018 09:01
content has a pure mathematical character, no didactics at all. But on the other hand the scientific field of the lecturer can not be suppressed all the time. Anyway, links to mathematical education in school are given,
because probability theory and statistics are one of the basic themes in school mathematics at secondary school level besides calculus and linear algebra. It is a fact that teacher students often mention after their studies that they have learned nothing at the university which they will
need in school afterwards. This conclusio should be avoided by two aspects presented in this lecture: first there will be discussed concrete contents which can be adopted unchanged to stochastic education in school. The second
important part of this lecture is to prepare background knowledge in probability theory and statistics for the future mathematics teachers. Its
availability is responsible for the quality of the teachers performance.Concrete we will dicuss the probability concept with the three interpretations: as relative frequency, as relative rate and as rank of
confidence in a statement. Afterwards we will deal with the mathematical construction of a random variable and its description by various
distributions. Important attributes like characteristic parameters or some limit theorems should also be presented.From Statistic themes we will choose some aspects of descriptive statistics and the two main fields of inference statistics: testing of hypotheses und parameter estimating (point estimation and confidence intervals). In this
case we will treat the classical point of view but also the Bayesian one (including statistical decision theory).From time to time we will show connections between probability theory and statistics at the one hand and calculus or linear algebra at the other hand.Literature will be presented at the beginning of the lecture.