e-learning in university math-education - mumie · mumie für grundlagen der elektrotechnik berlin...

E-Learning in University Math-Education

Experience and Perspectives in the Use of the Teaching

and Learning Environment

Matheon-SEFI Conference, April 6/7 2009Ruedi Seiler

Overview

• Learning and Teaching with MUMIE

• MUMIE at the TU-Berlin

• MUMIE-Technology

• Open Content – Open Source

• Summary and Perspecitive

2Matheon-SEFI Conference, April 2009

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

Matheon-Sefi Conference, April 2009

Pedagogical organisational concept, technology must ...

... allow for good scaling

... use teaching resources effectively (much more explorative self-learning)

...

MUMIE supports a broad variety of pedagogical concepts

Blackbord + Multimedia

personalized, automatically corrected home work with demo + training

Teamwork -Tutor is Coach

Interactive Script

Learner

Centred

Visualisation

Multimedia DB


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

5Matheon-Sefi Conference, April 2009

Overview







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


about 4000 students per year

mathematical competence varies broadly.

Answer to:

low success rate


Linear Algebra for Engineers at the TU-Berlin

number of tutors too small

Inadequate rooms, infrastructure

Blended Learning

pre-learning

lecture

self-study

home work

math-laboratory

tutorial

to broaden competence,to check achievement:personalized, automatic correction , demo+training

work in groups lead by tutor as coach.

learner centered worksupported by tutors

interactive script forum

The pedagogical concept TuMult

blackboard + multimedia components from MUMIE- DB

preparation for the lecture:personalized, automatic correction, demo + training


Prelearning in MUMIE

Problem – characteristic polynomial


Prelearning in MUMIE

Demonstration – characteristic polynomial


MUMIE for Lectures, Tutorials, and Independent Work


Hyperlinks

E-Homework in MUMIE


MUMIE proves: New pedagogical concepts like TU-MULTbring qualitative improvement of learning results.



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

Java-Aufgaben


WS 07# beginners: 293dropout before test: 30%

WS 08# beginners: 371dropout before test: 22%

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Dropout During Course

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WS 07# participants: 205failed: 37%

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WS 08# participants: 289 failed: 14%

Success Rate in Test


WS 07# participants: 73failed : 53%

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WS 08# participants: 96failed: 16%

Success Rate in Test: Females



GLET:Foundations of Electrical Engineering

about 200 students (winter term 08/09)

problem: difficulties with mathematics

Why GLET-MUMIE?

MUMIE für Grundlagen der Elektrotechnik

Berlin Center of Advanced PackagingProf. Dr.-Ing. Dr.-Ing. E.h. Herbert ReichlFachgebiet Mikroelektronik- Aufbau u. Verbindungstechniken

GLET-MUMIE - interactive learning

grasp math in models

Why GLET-MUMIE?



GLET-MUMIE - interactive learning

training: self study

Rating of GLET-MUMIE



1. Evaluation (130 participants)

Question


Self Assessment Test

Online Self Assessment TestElementary Mathematics

- math competence among students differ a lot

- students and teachers need to know: What are the prerequisites for the upcoming courses

- self assessment of missing pieces of knowledge and competences

- first step towards: automatised diagnostic testing.

Goals:



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

Matheon-Sefi Conference, April 2009 28

presently

perspective

- about 200 problems + variants

- large part of syllabus covered

- first launch: August 2008

- more than 600 participants

- improve feedback

- more problems

- automatised diagnostic testing

Matheon-Sefi Conference, April 2009 29


Overview







MUMIE based on modern Web-Technology

JAVA- applets

Text with math formulas

interactive, personalised, multi-linguale dynamically generated web pages

multimedia data base(XML, MathML, Latex, applets, images, Flash, Audio)

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interactive, dynamic demos/training/problems

visualization of complex concepts

forum

Communication between HTML-page and applet


mathematically motivated taxonomy, semantic net

MUMIE content: flexible, reusable, sustainable

editor for semantic nets

MathMLconverter

Latex (MUMIE-Dialect)

applets

MathletFactory(ClassLib)

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XMLconverter

lecturersauthors

data base browser

all users

multimedia data base(XML, MathML, latex, applets, images, flash, audio)

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Overview








» 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.

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Open Source: optimal for academic environmentflexibel, cheep but not for free! LinAlg: MUMIE-corrections ~ 45 Teaching assistents (60h)

MUMIE Community

open source ommunity tools :− development repository− wiki and forum


professional services for open source community:

Overview







Perspecitve:


Even McDonalds goes Math: MacMath

»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)

Perspective

»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

Perspecitve:

e-learning in university math-education - mumie · mumie für grundlagen der elektrotechnik berlin...

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