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Saarbrücken,11th of September TEMPUS: MathGeAr Project Teaching Maths at the University of the Future German Research Centre for Artificial Intelligence (DFKI) Universität des Saarlandes Prof. Dr. grad. Ing. Jörg Siekmann Deutsches Forschungszentrum für Künstliche Intelligenz Deutsches Forschungszentrum für Künstliche Intelligenz

Teaching Maths at the University of the Future

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Page 1: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Teaching Maths at the University of the

FutureGerman Research Centre for Artificial Intelligence (DFKI)

Universität des Saarlandes

Prof. Dr. grad. Ing. Jörg Siekmann

Deutsches Forschungszentrum für Künstliche IntelligenzDeutsches Forschungszentrum für Künstliche Intelligenz

Page 2: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Teaching: the Holy WarsTeaching: the Holy Wars

podcasting

webcasting

mashups

wikis

socialnetworks

videos

Overhead slides

powerpoint

blackboards

Page 3: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Change in University TeachingChange in University Teaching

Lehre

New Technologies Collaborative andactive Learning

Personalisation and livelong Learning

Page 4: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

University of the Future: University of the Future:

1. University: Infrastructur

2. Teaching: Lecture- und Seminarrooms

3. Learning: - Intelligent Tutor Systems (ITS) - Mobile Learning

Page 5: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

networked, mobil und networked, mobil und decentral decentral

Page 6: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Page 7: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Browser: Browser: knowledge everywhere knowledge everywhere

Knowledge Browser

Studentprojects andPractical Work

and anytime

Page 8: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Books and Lecture NotesBooks and Lecture Notes

e-paper: the whole library in 400 g

Page 9: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

- Campuswide WLAN- New Mediacentre

- LMS: Learning Management System- Learning systems and L-software- Webpages and Smartphones

- CTO and CLO (Chief Learning Officer)

Infrastruktur: Infrastruktur: InformationsverwaltungInformationsverwaltung

Page 10: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

University of the Future: University of the Future:

1. University: Infrastructur

2. Teaching: Lecture- und Seminarrooms

3. Learning: - Intelligent Tutor Systems (ITS) - Mobile Learning

Page 11: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Platos Academy:Platos Academy:

. . . by discourse

Page 12: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Schools in Medival TimesSchools in Medival Times

- Authoritarian

- Frontal, Head-on

- Textbased

- Rote lerning

Page 13: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Blackboard and Chalk: Blackboard and Chalk: 1818thth – 19 – 19th th CenturyCentury

Page 14: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

First Universities:First Universities:

Uni Padova

Seeing is believing

Page 15: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

So, what will it be like ...

the „Lecturehall“?

Thanks Raúl!

Page 16: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Lecture Hall of the Future?Lecture Hall of the Future?

Page 17: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

The Classroom ofthe Fiuture?The Classroom ofthe Fiuture?

Page 18: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

i-Campus at MIT: From here …i-Campus at MIT: From here …

Page 19: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

. . . to there: i-Physics 101. . . to there: i-Physics 101

. . . what is the blackboard

like?

. . . still laptops on the table?

Page 20: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

The Blackboard: Yesterday . . . . The Blackboard: Yesterday . . . .

Page 21: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

„Science Fiction“ – Vision?

Page 22: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Multitouch Technology: e-ChalkMultitouch Technology: e-Chalk

„Digital Class Room“In Informatics:

Raúl Rojas, FU Berlin

Multitouch-Board

Page 23: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

In a big LecturehallIn a big Lecturehall

Mathematicsat

TU BerlinLECTURE HALL

Page 24: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Technology: OLED-ScreenTechnology: OLED-Screen

Beamerand

Powerwall will

disappear

Page 25: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Interactive Walls and e-WallpaperInteractive Walls and e-Wallpaper

Page 26: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Multitouch Data-WallsMultitouch Data-Walls

Page 27: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Berlin and Saarbrücken:Berlin and Saarbrücken: the e-Chalk System the e-Chalk System

Board server

Audio server

Video server

Board client

Audio client

Video client

Internet

Stream storage

Live transmission

Page 28: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Knowledge Agents in the BackgroundKnowledge Agents in the Background

- Learning Environments: ActiveMath, MathBridge, ...- Computer Algebra Systems: Mathematica, Yacas, . . .- Domain Reasoner: . . . . several dozen . . .- Mathematical Handwriting Recognition

Page 29: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Handschrift ErkennungHandschrift Erkennung

Page 30: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

FU Berlin: Mathematical Object Representation

Plotting of Surfaces

Page 31: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Maths Department Saarbrücken

Frank Schreyer:

Computeralgebra

and

Rendering

Page 32: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Maths Department Saarbrücken

Oliver Labs:

3-D ObjectDefinition

andRendering

Page 33: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Mit Prof. Slusallek (DFKI and INTEL Labs)

Rendering of Objects: Raytracing

Page 34: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

. . . to there: i-Physics 101. . . to there: i-Physics 101

. . . new learning

environments !

Page 35: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

University of the Future: University of the Future:

1. University: Infrastructur

2. Teaching: Lecture- und Seminarrooms

3. Learning: - Intelligent Tutor Systems (ITS) - Mobile Learning

Page 36: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

e-Learning: ITS ITS: Intelligent Tutor System • Cassical Tutor Systems: - precanned solutions

• “Intelligent“ Features:– Adaptive sequencing – Interactive problem solving– Error diagnosis– User Model

• Personalization of:– Content– Presentation– Dynamically generated suggestions

Page 37: Teaching Maths at the University of the Future

For Example:Talk by Sergey Sosnowsky

„Mathbridge ontology, metadata and authoring “

(tomorrow)

Page 38: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

. . . learning: anytime

and anywhere!- The Internet

- Semantic Web

- Web 2.0

-Mobile Learning

-Distant Learning

- Intelligent Tutor Systems

(e-Learning Lab, Shanghai, China)

Page 39: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Shanghai JiaoTong UniversityShanghai JiaoTong UniversityMencius Lab:

Prof Shen, Dr Ulrich

Page 40: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Available EverywhereAvailable EverywhereUpdating AnytimeUpdating Anytime IP TV broadcasting

Shanghai

Telecom ADSL

2.5G/3G Mobile Users

SJTU , ZJU XJTU

Ning XiaUniversity

西藏大学

Xin JiangUniversity

Yan’anUniversity

IP Network教室群Tibet

UniversityClassroom Cluster

Two-Way Satellite

e-Learning Centre Shanghai: Prof Shen

Page 41: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Yangpu section

Fenyang network admin.

Pudong section

Fengxian

section

Jingshan

section

Songjiang section

Qingpu section

Jiading section

SH Telecom Admin.

Teaching Center

Nanhui section

Minhang section

NingboSection

JiangsuSection

e-Learning Centre Shanghai: Prof Shen

Page 42: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

E-PenSupporting the Laser

Track System(Infrared Sender)

Monitor Camera

Supporting the Student Attention System

(Capture absquatulaters in the classroom)

Smart Board Supporting

Multiple Lecture Notes (Word, PPT, Handwritting, etc.)

Localizer Camera

Supporting the Teacher Tracking

System (Auto-track according

to the teacher’s locomotion

Lecture Notes

ScreenSupporting Multiple

Lecture Notes

Feedback Screen

Supporting the Real Time

Interactive System(Teachers may fine tune their teaching based on students’

short messages.

Standard ClassroomStandard Classroom

Micro-ArrayDriverAuto-track According to the Input from the Micro-Array

Page 43: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Ganghui e-Learning CenterGanghui e-Learning Center

Page 44: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Mencius Lab: Shanghai/SaarbrückenMencius Lab: Shanghai/Saarbrücken

Your whole Education in your personalMemory !

- Answering Machine-ITS integration-Mobile Devices

-Language Learning- . . . . . . .

Page 45: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

Chinese-Canadian Joint Language Chinese-Canadian Joint Language ClassesClasses

International Cooperation

Page 46: Teaching Maths at the University of the Future

Saarbrücken,11th of September TEMPUS: MathGeAr Project

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