E-Learning in University Math-Education

Transcription

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
Overview
• Learning and Teaching with MUMIE
• MUMIE at the TU-Berlin
• MUMIE-Technology
• Open Content – Open Source
• Summary and Perspecitive
Matheon-SEFI Conference, April 2009
2
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)
...
Matheon-Sefi Conference, April 2009
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
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
Overview
6
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
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
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
Prelearning in MUMIE
Problem – characteristic polynomial
10
Prelearning in MUMIE
Demonstration – characteristic polynomial
11
MUMIE for Lectures, Tutorials,
and Independent Work
Hyperlinks
E-Homework in MUMIE
MUMIE proves: New pedagogical concepts like TU-MULT
bring 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
16
Java-Aufgaben
17
Java-Aufgaben
18
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%
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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
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
GLET:Foundations of Electrical Engineering
about 200 students (winter term 08/09)
problem: difficulties with
mathematics
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
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 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.
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
- about 200 problems + variants
- large part of syllabus covered
- first launch: August 2008
- more than 600 participants
perspective
- improve feedback
- more problems
- automatised diagnostic testing
29
Overview
30
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)
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)
Overview
33
» 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)
MUMIE Community
professional services for
open source community:
open source ommunity tools :
development repository
− wiki and forum
−
Overview
Perspecitve:
Even McDonalds goes Math: MacMath
37
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)
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

E-Learning in University Math-Education

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