use of e-learning systems in math courses at htwsaar

Use of e-Learning Systems in Mathematics Courses

at HTW Saar

Prof. Dr. B. Grabowski, Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui

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• Prof. Dr. Barbara Grabowski Chair for Mathematics u. Statistics at the School of Engineering

HTW SaarWorkgroup eLearning, WG Bridge Course

• Dimitri Ovrutskiy, Melanie Kaspar, Hong Phuc Bui School of Engineering, WG eLearning, WG Bridge Course

• Practical eLearning activities since 2001 - eLearning-Tutor MathCoach (since 2006) - StatistikLearnServer (since 2010)

Who are we?

Content

I. HTW Saar: Some facts and numbers

II. What is MathCoach?

III. Using e-Learning with MathCoach in regular and distance studies


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I. HTW: Some facts and numbers

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Students appr. 6000Foreign students appr. 15%

Beginners appr. 1600 annualy

4 faculties 18 bachelor and 14 master majors

- The School of Engineering (biomedical engineering, electrical engineering, computer sciences, mechanical engineering, mechatronics/sensor technology)

About 2200 students

- Business School- School of Architecture and Civil Engineering- School of Social Sciences

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Some facts and numbers

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4 Campuses all around Saarland

3 Research Campuses incl. cooperative Centre of Mechatronics together with UdS and Experimental Halls

German-French Cooperative Studies in DFHI/ISFATES with partial integration of students in regular HTW study flow

Annual Bridge Course in Mathematics and English: Blendend Learning

Further (postgraduate) Courses


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https://www.dropbox.com/sh/yexxaskclqofs4c/DfnRUYgGJ1/Architektur_Raum/Aussenraum/htwsaar_stock_AR-A_0002.jpg

https://www.dropbox.com/sh/yexxaskclqofs4c/wxepQadigc/Architektur_Raum/Aussenraum/htwsaar_stock_AR-A_0003.jpg

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Reasons for e-Learning

- Different pre-study backgrounds

- High amount of foreign students

- Cooperative students

- High teaching load

• Pre-study Bridge Course

• Supply of electronic teaching materials for individual learning

• Improvement of teaching workflow by easing in the routine activities


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Pre-Study Bridge Course Mathematics• Since 2003

• About 700 participants (approx. 50% of the bachelor beginners)

• Presence Phase: 4 weeks, 80 hours

• Blended Learning since 2006:

• Classes of approx. 20 participants with a tutor• Tutors use eLearning tools in their classes for demonstration• Students use eLearning tools for individual learning during the

classes• E-Learning materials and tools in Net: individual learning 24/7

Bridge Course Materials: • Printed script-book, • Online content (Moodle, MathBridge)• Online training assistant MathCoach


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II. What is MathCoach?


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• Elementary Mathematics• Vector and matrix calculus• Systems of linear equations• Differentiation• Integration• Real functions of one and more variables• Probability• Data analysis• Descriptive statistics• Inductive statistics

What is MathCoach: Some topics


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What is MathCoach: Features

• Automatic generation of exercises

- Incl. text assignments

- Adaptive: difficulty’s level adjustment depended on user’s learning & knowledge level

• Term processing with adequate feedback

- Right – Wrong evaluation

- Controlled through intermediate steps to final result

- Automatic generation of help texts and solution reviews

Demo

http://mathcoach.htw-saarland.de:8080/mathcoach/jsps/frame.jsp?load=stammfunktionen_von_polynomen_v1&author=brueckenkurs/integralrechnung


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What is MathCoach: Example


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What is MathCoach

• Interactive exercises in 2D


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• Visualising in 2D

What is MathCoach

Demo

http://newton.htw-saarland.de:8084/mathcoach/jsps/frame.jsp?action=hideConsole&load=kurve_zykloide_r_2_c&author=demo/Vorlesung


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What is MathCoach

• Exercises with 3D-visualisation


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• Interactive visualising in 3D

What is MathCoach

Demo

http://newton.htw-saarland.de:8084/mathcoach/jsps/frame.jsp?action=hideConsole&load=rotationsflaeche_pyramide_d&author=demo/Vorlesung


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• (Generated) online tests:- Students can solve their assignments on PC

- next release: also on tablet PCs & mobile phones

What is MathCoach


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• Online tests:- Statistical evaluation of results for students

What is MathCoach


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• Online tests:- Statistical evaluation of results for tutors

What is MathCoach

Demo

http://mathcoach.htw-saarland.de:8080/mathcoach/jsps/frame.jsp?action=hideConsole&load=evalklausurneu_neu&author=bagra/klausur


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• Integration into several Learning-Management-Systems:- Moodle (Regular study @ HTWSaar)- MathBridge (Bridge course @ HTWSaar)- Clix (Distance courses by HTWSaar)- Ilias (University of Cooperative Studies of Saarland,

FH Bonn-Rhein-Sieg)

What is MathCoach


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• Feedback of the learning progress to Learning Management Systems via SCORM interface:

• Re-usability: exercises can be integrated in teacher’s own content as stand alone assignments via hyper-link or as a SCORM-package)

What is MathCoach


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MathCoach in PDF (LaTeX) documents: hyper-link

What is MathCoach


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Where?

- HTW Bridge Course Mathematics (since 2006)

- Regular classes (since 2006)

- University of Cooperative Studies (since 2008)

- At Schools (Moodle, Lern-Welt-Saar) (since 2010)

- Distance Bridge Courses (since 2013)

- FH Bonn-Rhein-Sieg, FH Darmstadt & Aschaffenburg (since 2013)

III. Using the e-Learning with MathCoach

Using the e-Learning with MathCoach

How?

• Teaching in regular classes

• e-Materials and videos as compensation of absence in class

• Blended bridge course

• Distance learning via Virtual Classroom using Adobe Connect

• Pure individual learning using online materials


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Regular Classes: Combination of MathCoach with SMART technology


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MathCoach with SMART : Adwantages

• Record of the lecture with SMART: Generation of online course “by doing”

• Export to PDF, hyperlinks stay active

• Efficient preparation of courses: Progressive incorporation of interactive MathCoach exercises, home assignments, online tests, hyperlinks, etc.

• Incorporation of audio/video (drag and drop)

• Re-usable for other classes & courses


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Example of didactic concept for regular courses

• The lecturer explains theory, shows examples

• Free training with MathCoach

• All students solve test exercises with their computers

• Statistical evaluation of the results (individual, group)

• Hyperlink to home assignment in lecture’s PDF


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Online tests and statistical evaluation

• Often used as a mid-term exam

• Online test with and without repetition

• Duration of test or begin-end time

• Anonymous, semi-anonymous, not anonymous

• Several statistic evaluation measures


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Blended Learning Concept

Combination of regular classes with dedicated time for individual training using MathCoach

• In Bridge Courses

• In regular classes (e.g., cooperative students)


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Distance Courses: Virtual Classroom with Adobe Connect by DFN using SMART technology and MathCoach


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Thank you for your attention!

Please feel free to ask your questions.

http://mathcoach.htw-saarland.de/

use of e-learning systems in math courses at htwsaar

Education