Use of e-Learning Systems in Mathematics Courses at HTW Saar
- 1. Use of e-Learning Systems in Mathematics Courses at HTW Saar
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- 3. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 3 • Prof. Dr. Barbara Grabowski Chair for Mathematics u. Statistics at the School of Engineering HTW Saar Workgroup eLearning, WG Bridge Course • Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui School of Engineering, WG eLearning, WG Bridge Course • Practical eLearning activities since 2001 - eLearning-Tutor MathCoach (since 2006) - StatistikLearnServer (since 2010) Who are we?
- 4. Content I. HTW Saar: Some facts and numbers II. What is MathCoach? III. Using e-Learning with MathCoach in regular and distance studies Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 4
- 5. I. HTW: Some facts and numbers 5 Students appr. 6000 Foreign students appr. 15% Beginners appr. 1600 annualy 4 faculties 18 bachelor and 14 master majors - The School of Engineering (biomedical engineering, electrical engineering, computer sciences, mechanical engineering, mechatronics/sensor technology) About 2200 students - Business School - School of Architecture and Civil Engineering - School of Social Sciences Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui
- 6. Some facts and numbers 6 4 Campuses all around Saarland 3 Research Campuses incl. cooperative Centre of Mechatronics together with UdS and Experimental Halls German-French Cooperative Studies in DFHI/ISFATES with partial integration of students in regular HTW study flow Annual Bridge Course in Mathematics and English: Blendend Learning Further (postgraduate) Courses Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui
- 7. Reasons for e-Learning - Different pre-study backgrounds - High amount of foreign students - Cooperative students - High teaching load • Pre-study Bridge Course • Supply of electronic teaching materials for individual learning • Improvement of teaching workflow by easing in the routine activities Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 7
- 8. Pre-Study Bridge Course Mathematics • Since 2003 • About 700 participants (approx. 50% of the bachelor beginners) • Presence Phase: 4 weeks, 80 hours • Blended Learning since 2006: • Classes of approx. 20 participants with a tutor • Tutors use eLearning tools in their classes for demonstration • Students use eLearning tools for individual learning during the classes • E-Learning materials and tools in Net: individual learning 24/7 Bridge Course Materials: • Printed script-book, • Online content (Moodle, MathBridge) • Online training assistant MathCoach Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 8
- 9. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 9 II. What is MathCoach?
- 10. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 10 • Elementary Mathematics • Vector and matrix calculus • Systems of linear equations • Differentiation • Integration • Real functions of one and more variables • Probability • Data analysis • Descriptive statistics • Inductive statistics What is MathCoach: Some topics
- 11. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 11 What is MathCoach: Features • Automatic generation of exercises - Incl. text assignments - Adaptive: difficulty’s level adjustment depended on user’s learning & knowledge level • Term processing with adequate feedback - Right – Wrong evaluation - Controlled through intermediate steps to final result - Automatic generation of help texts and solution reviews Demo
- 12. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 12 What is MathCoach: Example
- 13. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 13 What is MathCoach: Example
- 14. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 14 What is MathCoach: Example
- 15. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 15 What is MathCoach • Interactive exercises in 2D
- 16. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 16 • Visualising in 2D What is MathCoach Demo
- 17. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 17 What is MathCoach • Exercises with 3D-visualisation
- 18. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 18 • Interactive visualising in 3D What is MathCoach Demo
- 19. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 19 • (Generated) online tests: - Students can solve their assignments on PC - next release: also on tablet PCs & mobile phones What is MathCoach
- 20. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 20 • Online tests: - Statistical evaluation of results for students What is MathCoach
- 21. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 21 • Online tests: - Statistical evaluation of results for tutors What is MathCoach Demo
- 22. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 22 • Integration into several Learning-Management-Systems: - Moodle (Regular study @ HTWSaar) - MathBridge (Bridge course @ HTWSaar) - Clix (Distance courses by HTWSaar) - Ilias (University of Cooperative Studies of Saarland, FH Bonn-Rhein-Sieg) What is MathCoach
- 23. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 23 • Feedback of the learning progress to Learning Management Systems via SCORM interface: • Re-usability: exercises can be integrated in teacher’s own content as stand alone assignments via hyper-link or as a SCORM-package) What is MathCoach
- 24. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 24 MathCoach in PDF (LaTeX) documents: hyper-link What is MathCoach
- 25. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 25 Where? - HTW Bridge Course Mathematics (since 2006) - Regular classes (since 2006) - University of Cooperative Studies (since 2008) - At Schools (Moodle, Lern-Welt-Saar) (since 2010) - Distance Bridge Courses (since 2013) - FH Bonn-Rhein-Sieg, FH Darmstadt & Aschaffenburg (since 2013) III. Using the e-Learning with MathCoach
- 26. Using the e-Learning with MathCoach How? • Teaching in regular classes • e-Materials and videos as compensation of absence in class • Blended bridge course • Distance learning via Virtual Classroom using Adobe Connect • Pure individual learning using online materials Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 26
- 27. Regular Classes: Combination of MathCoach with SMART technology Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 27
- 28. MathCoach with SMART : Adwantages • Record of the lecture with SMART: Generation of online course “by doing” • Export to PDF, hyperlinks stay active • Efficient preparation of courses: Progressive incorporation of interactive MathCoach exercises, home assignments, online tests, hyperlinks, etc. • Incorporation of audio/video (drag and drop) • Re-usable for other classes & courses Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 28
- 29. Example of didactic concept for regular courses • The lecturer explains theory, shows examples • Free training with MathCoach • All students solve test exercises with their computers • Statistical evaluation of the results (individual, group) • Hyperlink to home assignment in lecture’s PDF Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 29
- 30. Online tests and statistical evaluation • Often used as a mid-term exam • Online test with and without repetition • Duration of test or begin-end time • Anonymous, semi-anonymous, not anonymous • Several statistic evaluation measures Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 30
- 31. Blended Learning Concept Combination of regular classes with dedicated time for individual training using MathCoach • In Bridge Courses • In regular classes (e.g., cooperative students) Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 31
- 32. Distance Courses: Virtual Classroom with Adobe Connect by DFN using SMART technology and MathCoach Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 32
- 33. Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui 33 Thank you for your attention! Please feel free to ask your questions. http://mathcoach.htw-saarland.de/
Editor's Notes
- #10: MathCoach ist ein webbasiertes E-Learning Werkzeug für mathematische Übungen und Experimente Es ist entwickelt aus der Lehre heraus. Entwickelt an der HTW von einem Team aus Mathematikern und Informatikern. Die Mathematiker bringen die Didaktik aus der Erfahrung heraus mit. Die Informatiker sorgen für die Umsetzung. Die Aufgaben und das System werden ständig auf Basis unserer Erfahrungen angepasst und weiter entwickelt MathCoach bietet zu jedem Thema in der Regel nicht einzelne Aufgaben, sondern Aufgabenklassen, aus denen beliebig viele einzelne Aufgaben dynamisch erzeugt werden können. Diese können bei Bedarf lernverlaufsabhängig im Schwierigkeitsgrad angepasst werden Unterstützung unterschiedlicher Aufgabentypen: Mathematische Terme Grafische Objekte in 2D und 3D Herkömmliche Aufgabentypen wie MC oder Zuordnung mit D&D
- #11: Interaktive Visualisierung: Wie entwickelt sich die Funktionsgleichung f(x,y)? Schritt für Schritt wird an die richtige Lösung herangeführt. Rotation surface
- #12: Schwerpunkt ist die dynamische Generierung von Übungsaufgaben und die lernverlaufsabhängige Unterstützung für den Benutzer Viele verschiedene Varianten und didaktische Strategien umsetzbar: - Ein oder mehrere Schritte in Richtung Lösung - Grobe oder detailliertere Hilfe - Oder konkrete Lösung Erkennt, ob ein Lernender „im Kreis läuft“ -> du warst schon mal weiter Domain-Reasoner
- #17: Rollkurve durch bestimmte mechanische Vorgänge
- #18: MC offers also visualisation and manipulation in 3D; user input is visualised, user can see his input
- #19: Interaktive Visualisierung: Wie entwickelt sich die Funktionsgleichung f(x,y)? Schritt für Schritt wird an die richtige Lösung herangeführt. Rotation surface
- #20: Anonym / Personalisiert Mit / ohne Zeitvorgabe Mit / ohne Hit Mit / und Rückgabe der Punkte
- #23: LMS: text, user management MC: exersices