E-Learning in University Math-Education

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E-Learning in University Math-Education

Experience and Perspectives in the Use of the Teaching and Learning Environment

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

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Overview

• Learning and Teaching with MUMIE

• _{MUMIE at the TU-Berlin}

• MUMIE-Technology

• Open Content – Open Source

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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)

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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

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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

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Overview

• Learning and Teaching with MUMIE

• _{MUMIE at the TU-Berlin}

• MUMIE-Technology

• Open Content – Open Source

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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

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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

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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 work

supported by tutors interactive script forum

The pedagogical concept TuMult

blackboard +

multimedia components from MUMIE- DB

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

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Prelearning in

MUMIE

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Prelearning in

MUMIE

Demonstration – characteristic polynomial

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MUMIE

for Lectures, Tutorials,

and Independent Work

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E-Homework in

MUMIE

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MUMIE

proves

:

New pedagogical concepts like TU-MULT

bring qualitative improvement of learning results

.

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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

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Java-Aufgaben

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WS 07

# beginners: 293

dropout before test: 30%

WS 08

# beginners: 371

dropout before test: 22%

0% 50% 100% 150% 200% 250% 300% 350% 400% Teilnehmer WS08 Abbrecher Testteil-nahme

Dropout During Course

0% 50% 100% 150% 200% 250% 300% Teilnehmer WS07 Abbrecher Test-

teil-19

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WS 07

# participants: 205

failed: 37%

0% 50% 100% 150% 200% 250% Teilnehmer WS07 nicht be-standen bestanden 0% 50% 100% 150% 200% 250% 300% Teilnehmer WS08 nicht be-standen bestanden

WS 08

# participants: 289

failed: 14%

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WS 07

# participants: 73

failed : 53%

0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Teilnehmer WS07 weiblich nicht be-standen w bestanden w 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Teilnehmer WS08 weiblich nicht be-standen w bestanden w

WS 08

# participants: 96

failed: 16%

Success Rate in Test: Females

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GLET:Foundations of Electrical Engineering

about 200 students (winter term 08/09)

problem: difficulties with

mathematics

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Why GLET-MUMIE?

MUMIE für Grundlagen der Elektrotechnik

Berlin Center of Advanced Packaging

Prof. Dr.-Ing. Dr.-Ing. E.h. Herbert Reichl

Fachgebiet Mikroelektronik- Aufbau u. Verbindungstechniken

GLET-MUMIE - interactive learning

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Why GLET-MUMIE?

GLET-MUMIE -

inter

active

learning

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Rating of GLET-MUMIE

Berlin Center of Advanced Packaging

Prof. Dr.-Ing. Dr.-Ing. E.h. Herbert Reichl

Fachgebiet Mikroelektronik- Aufbau u. Verbindungstechniken

1. Evaluation (130 participants)

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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

- self assessment of missing pieces of knowledge and competences

- first step towards: automatised diagnostic testing.

Goals:

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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

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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

29 Online Self Assessment Test

Elementary Mathematics

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Overview

• Learning and Teaching with MUMIE

• _{MUMIE at the TU-Berlin}

• MUMIE-Technology

• Open Content – Open Source

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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)

interactive, dynamic demos/training/problems visualization of complex concepts forum Communication between HTML-page and applet

mathematically

motivated taxonomy, semantic net

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MUMIE

content: flexible, reusable, sustainable

editor for semantic nets MathML converter Latex (MUMIE-Dialect) applets MathletFactory (ClassLib) converterXML lecturers authors data base browser all users

multimedia data base

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Overview

• Learning and Teaching with MUMIE

• _{MUMIE at the TU-Berlin}

• MUMIE-Technology

• Open Content – Open Source

• _{Summary and Perspecitive}

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» _{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!

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MUMIE

Community

open source ommunity tools :

−

development repository

−

wiki and forum

professional services for

open source community:

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Overview

• Learning and Teaching with MUMIE

• _{MUMIE at the TU-Berlin}

• MUMIE-Technology

• Open Content – Open Source

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Perspecitve:

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»

_{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)

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