E-Learning in University Math-Education

Transcription

1 E-Learning in University Math-Education Experience and Perspectives in the Use of the Teaching and Learning Environment Matheon-SEFI Conference, April 6/ Ruedi Seiler

2 Overview Learning and Teaching with MUMIE MUMIE at the TU-Berlin MUMIE-Technology Open Content Open Source Summary and Perspecitive Matheon-SEFI Conference, April

3 MUMIE: Some Wants and Musts Poor eater ideology still looms in the background, but today s students:... want to be actors in the learning process.... want to be respected as individuals even if the course is large. Graduates must know how to develop strategies for solving problems... Know how to assess results... Be able to work in a team and individually Pedagogical organisational concept, technology must allow for good scaling... use teaching resources effectively (much more explorative self-learning)...

4 MUMIE supports a broad variety of pedagogical concepts Blackbord + Multimedia Interactive Script Teamwork Tutor is Coach Learner Centred Visualisation Multimedia DB personalized, automatically corrected home work with demo + training

5 MUMIE:Integrated in regular teaching at TUB und ETH» Linear Algebra for Engineers: Blended learning» COMA Computer oriented Mathematics: Blended learning» GLET Foundations of Electrical Engineering: Supplementary Material» Self Assessment Test» Linear Algebra» Analysis» Several other courses» Introductory Course» Complexe Numbers 5

6 Overview Learning and Teaching with MUMIE MUMIE at the TU-Berlin MUMIE-Technology Open Content Open Source Summary and Perspecitive 6

7 Members of the Team at TUB Tumult: Katherine Roegner, Michael Heimann GLET: Bouchaib Bouhlal, Michal Cwiklinski, Petrus Tan MUMIE-Technology: Markus Gronau, Michael Heimann, Tilman Rassy Self Assessment Test: Michael Heimann, Katherine Roegner CoMa: Marek Grudzinski, Tilman Rassy, Robert Rudow, Madeleine Theile, Jens Schulz, Andreas Wiese, Marco Lehre (ETHZ). and many more

8 Linear Algebra for Engineers at the TU-Berlin Blended Learning Answer to: about 4000 students per year number of tutors too small Inadequate rooms, infrastructure mathematical competence varies broadly. low success rate

9 The pedagogical concept TuMult interactive script forum selfstudy preparation for the lecture: personalized, automatic correction, demo + training prelearning to broaden competence, to check achievement: home personalized, automatic work correction, demo+training mathlearner centered work laboratory supported by tutors blackboard + lecture multimedia components from MUMIE- DB tutorial work in groups lead by tutor as coach. 9

10 Prelearning in MUMIE Problem characteristic polynomial 10

11 Prelearning in MUMIE Demonstration characteristic polynomial 11

12 MUMIE for Lectures, Tutorials, and Independent Work Hyperlinks

13 E-Homework in MUMIE

14 MUMIE proves: New pedagogical concepts like TU-MULT bring qualitative improvement of learning results.

15 Computer Oriented Math, a course for mathematicians, computer scientists and students of natural sciences about 250 students (winter term 08/09) problem: low success rate

16 Java-Aufgaben 16

17 Java-Aufgaben 17

18 Java-Aufgaben 18

19 Dropout During Course WS 07 # beginners: 293 dropout before test: 30% WS 08 # beginners: 371 dropout before test: 22% Teilnehmer WS08 Teilnehmer WS07 400% 300% 350% 250% 300% 200% 150% 100% Abbrecher Testteil- 250% 200% Abbrecher Testteilnahme 150% 100% 50% 0% 50% 0% 19

20 Success Rate in Test WS 07 # participants: 205 failed: 37% WS 08 # participants: 289 failed: 14% Teilnehmer WS07 Teilnehmer WS08 250% 300% 250% 200% 150% nicht bestanden bestanden 200% 150% nicht bestanden bestanden 100% 100% 50% 0% 50% 0% 20

21 Success Rate in Test: Females WS 07 # participants: 73 failed : 53% WS 08 # participants: 96 failed: 16% Teilnehmer WS07 weiblich Teilnehmer WS08 weiblich 100% 100% 90% 90% 80% 80% 70% 70% 60% 50% nicht bestanden w bestanden w 60% 50% 40% 40% 30% 30% 20% 20% 10% 10% 0% 0% nicht bestanden w bestanden w 21

22 GLET:Foundations of Electrical Engineering about 200 students (winter term 08/09) problem: difficulties with mathematics

23 MUMIE für Grundlagen der Elektrotechnik Why GLET-MUMIE? GLET-MUMIE - interactive learning grasp math in models Berlin Center of Advanced Packaging Prof. Dr.-Ing. Dr.-Ing. E.h. Herbert Reichl Fachgebiet Mikroelektronik- Aufbau u. Verbindungstechniken

24 MUMIE für Grundlagen der Elektrotechnik Why GLET-MUMIE? GLET-MUMIE - interactive learning training: self study Berlin Center of Advanced Packaging Prof. Dr.-Ing. Dr.-Ing. E.h. Herbert Reichl Fachgebiet Mikroelektronik- Aufbau u. Verbindungstechniken

25 MUMIE für Grundlagen der Elektrotechnik Rating of GLET-MUMIE 1. Evaluation (130 participants) Question Berlin Center of Advanced Packaging Prof. Dr.-Ing. Dr.-Ing. E.h. Herbert Reichl Fachgebiet Mikroelektronik- Aufbau u. Verbindungstechniken

26 Self Assessment Test

27 Online Self Assessment Test Elementary Mathematics - math competence among students differ a lot - students and teachers need to know: What are the prerequisites for the upcoming courses Goals: - self assessment of missing pieces of knowledge and competences - first step towards: automatised diagnostic testing.

28 Online Self Assessment Test Elementary Mathematics Questions from - school mathematics - for the understanding of freshmen courses Multiple Choice - common mistakes among choices - variables randomized - pooled problems - can be repeated indefinitely at all times - Immediate automatic feedback 28

29 Online Self Assessment Test Elementary Mathematics presently - about 200 problems + variants - large part of syllabus covered - first launch: August more than 600 participants perspective - improve feedback - more problems - automatised diagnostic testing 29

30 Overview Learning and Teaching with MUMIE MUMIE at the TU-Berlin MUMIE-Technology Open Content Open Source Summary and Perspecitive 30

31 MUMIE based on modern Web-Technology interactive, personalised, multi-linguale dynamically generated web pages JAVA- applets forum mathematically motivated taxonomy, semantic net visualization of complex concepts Text with math formulas interactive, dynamic demos/training/problems Communication between HTML-page and applet multimedia data base (XML, MathML, Latex, applets, images, Flash, Audio)

32 MUMIE content: flexible, reusable, sustainable authors applets MathletFactory (ClassLib) Latex (MUMIE-Dialect) MathML converter lecturers all users editor for semantic nets data base browser XML converter multimedia data base (XML, MathML, latex, applets, images, flash, audio)

33 Overview Learning and Teaching with MUMIE MUMIE at the TU-Berlin MUMIE-Technology Open Content Open Source Summary and Perspecitive 33

34 » open licensing model plattform + applets: content:» open, extendable system architecture e.g. integration into Learning-Management-System Moodle (ETH-Zürich)» open content data base integration of content from other projects integration of MUMIE-content into other projects. Open Source: optimal for academic environment flexibel, cheep but not for free! LinAlg: MUMIE-corrections ~ 45 Teaching assistents (60h)

35 MUMIE Community professional services for open source community: open source ommunity tools : development repository wiki and forum

36 Overview Learning and Teaching with MUMIE MUMIE at the TU-Berlin MUMIE-Technology Open Content Open Source Summary and Perspecitive

37 Perspecitve: Even McDonalds goes Math: MacMath 37

38 Perspective» MUMIE Community Building» Research on effectiveness of e-math (start at Georgia Tech about prelearning)» Delivery of administration and full support for MUMIE-courses» Social Networking for large groups of students and teachers Goal: Students helps students effectively, keeping academic standard Tagging of problems, definitions, theorems, applications, joke, Wiki-MUMIE (zusammen mit KTH)

39 Perspecitve:» MUMIE Community Building» Delivery of administration and full support for MUMIE-courses» Unterstützung Soziales Netzwerk der Studierende Ziel Studierende helfen sich gegenseitig effektiv Taging von Aufgaben, Definitionen, Theoremen,... Integration Wiki-MUMIE (zusammen mit KTH)» Usability: Überarbeitung der Autorentools Ergänzung der Dokumentation