250034 VO School mathematics elementary geometrie and vector analysis (2018W)
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Registration/Deregistration
Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Details
Language: German
Examination dates
- Monday 04.02.2019 08:00 - 11:15 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 01.03.2019 17:15 - 20:00 Hörsaal 6 Oskar-Morgenstern-Platz 1 1.Stock
- Friday 03.05.2019 09:45 - 13:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
- Tuesday 02.07.2019 11:30 - 14:00 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Lecturers
Classes (iCal) - next class is marked with N
- Wednesday 03.10. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 10.10. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 17.10. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 24.10. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 31.10. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 07.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 14.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 21.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 28.11. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 05.12. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 12.12. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 09.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 16.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 23.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Wednesday 30.01. 08:00 - 09:30 Hörsaal 4 Oskar-Morgenstern-Platz 1 Erdgeschoß
Information
Aims, contents and method of the course
The aim of this course is to prepare relevant content from elementary geometry and vector analysis for mathematics education. For this I would like to start each section of this lecture with a task or an example from a textbook and derive mathematical and didactical implications.In geometry, triangles, congruence maps in the plane, congruence sentences, the theorem of Ceva, the Euler's line, the Pythagorean theorem group, quadrilaterals, elementary features of the circle, similarity, intercept theorems and the volume of solids are discussed.The topics of vector analysis will be treated almost exclusively in plane and in space: linear systems of equations, the vector concept, lines, planes, circles and other conics, possibly a short section on matrix calculus.In addition, of course, a didactical evaluation of the presented contents will be offered to make them appropriate for future lessons of the participiants.Possibilities of a meaningful use of technology are also demonstrated.
Assessment and permitted materials
Written exam.
Minimum requirements and assessment criteria
Analysis and reflection of essential matematical concepts and (subject-didactic) conceptions of geometry and vector calculation with regard to the related contents of school mathematics.The vast majority of the tasks of the exam must be evaluated positively to complete successfully this lecture.
Examination topics
Lecture in the classical way with the possibility for discussion at the course. This defines the entire examination syllabus.
Reading list
Geometry:
Agricola, Ilka und Friedrich, Thomas: Euclidian Geometry [in German].
Expertise for study and math instruction. Vieweg, Wiesbaden 2009 (second edition).
Fraedrich, Anna Maria: The Pythagorean Theorem Group [in German]. BI
Wissenschaftsverlag, Mannheim i. a. 1994.
Holland, Gerhard: Geometry at Secondary Level [in German]. Textbooks and Monographs on Didactics of mathematics, Vol. 9. BI
Wissenschaftsverlag, Mannheim i. a. 1988.
Krauter, Siegfried: Adventure elementary geometry. A working book for independent and active discovery [in German]. Spektrum Akademischer Verlag, Munich 2005.
Weigand, Hans-Georg, Filler, Andreas, Hölzl Reinhard, Kuntze, Sebastian, Ludwig, Matthias, Roth, Jürgen, Schmidt-Thieme, Barbara and Witmann, Gerald: Didactics of Geometry at Secondary Level I [in German]. Springer Spektrum, Berlin 2018 (3., expanded and revised edition).
Wittman, Erich Ch.: Elementary Geometry and Reality. Introduction to Geometrical Literacy [in German]. Vieweg, Braunschweig 1987.Vector Analysis:
Henn, Hans-Wolfgang and Filler, Andreas: Didactics of analytical geometry and linear algebra. Understanding algebraically ‒ visualizing and applying geometrically [in German]. Springer Spektrum, Berlin Heidelberg 2015.
Tietze, Uwe-Peter, Klika, Manfred and Wolpers, Hans (Eds.): Mathematics Education at Secondary Level II. Volume 2: Didactics of Analytical Geometry and Linear Algebra [in German], by Uwe-Peter Tietze in collaboration with Peter Schroth and Gerald Wittmann. Vieweg, Braunschweig/Wiesbaden 2000.Textbooks Secondary Level I:
Hanisch, Günter, Benischek, Isabella, Hauer-Typpelt, Petra and Sattlberger, Eva: MatheFit 1 - 4 [in German]. Veritas (1) and Besseres Buch (2-4), Linz 2007 (1) and Vienna 2009, 2010 and 2011 (2-4).
Reichel, Hans-Christian and Humenberger, Hans (Eds.): This is Mathematics 1 - 4 [in German] by Dieter Litschauer, Herbert Groß, Vera Aue (1-4) and Erich Neuwirth (3-4). Collaboration: Stefan Götz. Thematic Sections by Rudolf Taschner. öbv, Vienna 2011 (1,2) and 2012 (3,4).Textbooks Secondary Level II:
Götz, Stefan and Reichel, Hans-Christian (Eds.): Mathematics 5 - 8 [in German] by Robert Müller and Günter Hanisch (Collaboration: Claudia Wenzel). With an Online-Addition by Hans-Stefan Siller and Robert Müller. öbv, Vienna 2010 (5,6), 2011 (7) and 2013 (8).
Bleier, Gabriele, Lindenberg, Judith, Lindner, Andreas and Süss-Stepancik, Evelyn: Dimensions Mathematics 5 - 8 [in German]. E. Dorner, Vienna 2017 (5,8), 2015 (6) and 2016 (7).
Agricola, Ilka und Friedrich, Thomas: Euclidian Geometry [in German].
Expertise for study and math instruction. Vieweg, Wiesbaden 2009 (second edition).
Fraedrich, Anna Maria: The Pythagorean Theorem Group [in German]. BI
Wissenschaftsverlag, Mannheim i. a. 1994.
Holland, Gerhard: Geometry at Secondary Level [in German]. Textbooks and Monographs on Didactics of mathematics, Vol. 9. BI
Wissenschaftsverlag, Mannheim i. a. 1988.
Krauter, Siegfried: Adventure elementary geometry. A working book for independent and active discovery [in German]. Spektrum Akademischer Verlag, Munich 2005.
Weigand, Hans-Georg, Filler, Andreas, Hölzl Reinhard, Kuntze, Sebastian, Ludwig, Matthias, Roth, Jürgen, Schmidt-Thieme, Barbara and Witmann, Gerald: Didactics of Geometry at Secondary Level I [in German]. Springer Spektrum, Berlin 2018 (3., expanded and revised edition).
Wittman, Erich Ch.: Elementary Geometry and Reality. Introduction to Geometrical Literacy [in German]. Vieweg, Braunschweig 1987.Vector Analysis:
Henn, Hans-Wolfgang and Filler, Andreas: Didactics of analytical geometry and linear algebra. Understanding algebraically ‒ visualizing and applying geometrically [in German]. Springer Spektrum, Berlin Heidelberg 2015.
Tietze, Uwe-Peter, Klika, Manfred and Wolpers, Hans (Eds.): Mathematics Education at Secondary Level II. Volume 2: Didactics of Analytical Geometry and Linear Algebra [in German], by Uwe-Peter Tietze in collaboration with Peter Schroth and Gerald Wittmann. Vieweg, Braunschweig/Wiesbaden 2000.Textbooks Secondary Level I:
Hanisch, Günter, Benischek, Isabella, Hauer-Typpelt, Petra and Sattlberger, Eva: MatheFit 1 - 4 [in German]. Veritas (1) and Besseres Buch (2-4), Linz 2007 (1) and Vienna 2009, 2010 and 2011 (2-4).
Reichel, Hans-Christian and Humenberger, Hans (Eds.): This is Mathematics 1 - 4 [in German] by Dieter Litschauer, Herbert Groß, Vera Aue (1-4) and Erich Neuwirth (3-4). Collaboration: Stefan Götz. Thematic Sections by Rudolf Taschner. öbv, Vienna 2011 (1,2) and 2012 (3,4).Textbooks Secondary Level II:
Götz, Stefan and Reichel, Hans-Christian (Eds.): Mathematics 5 - 8 [in German] by Robert Müller and Günter Hanisch (Collaboration: Claudia Wenzel). With an Online-Addition by Hans-Stefan Siller and Robert Müller. öbv, Vienna 2010 (5,6), 2011 (7) and 2013 (8).
Bleier, Gabriele, Lindenberg, Judith, Lindner, Andreas and Süss-Stepancik, Evelyn: Dimensions Mathematics 5 - 8 [in German]. E. Dorner, Vienna 2017 (5,8), 2015 (6) and 2016 (7).
Association in the course directory
UFMA03
Last modified: Mo 07.09.2020 15:40