hendricks / jeschke / thomsen / weinzierl mumie elearning environment and authoring tool for a...

Hendricks / Jeschke / Thomsen / Weinzierl

Mumie ― eLearning Environment and Authoring Tool for a Modern Education in Mathematics

Online Educa Berlin 2005

Workshop 16: „Implementing Large-Scale Blended Learning at Universities“

TU Berlin - Main Building

Dipl.-Inform. Uwe Sinha

TU Berlin, Institute of Mathematics

30 November 2005

Uwe Sinha

MUMIE @ Online Educa

Berlin 2005

30. November 2005

Contents:

1. Background

2. Mumie: Ideas & Concept

3. MmTeX & Mmcdk: eLearning Content for Mathematics

4. Outlook

Uwe Sinha


Berlin 2005

30. November 2005

Background

Uwe Sinha MUMIE @ Online Educa Berlin 2005

Generations of eLTR technologies:

First Generation:

distribution of information

document management

passive static objects

„simple“ training scenarios

isolated communication applications

electronic presentation environments

dynamical content management

granular flexible knowledge atoms

highly interactive and adaptive

complex training szenarios

integrated cooperation environments

support of active & explorative learning

modern human computer interfaces

Next Generation:

Object of current research and development

Used in many national and international universities

WebCT& Co.

Virtuelle LaboreMumie Cinde-

rellaAppletFactory


Intelligent Assistive Technologies in eLearning environments for Mathematics:

• precisely formalized language• „naturally“ given entities• strictly encapsulated entities• internal structure of entities• clear dependencies betw. entities• high continuity of knowlegde

Highly structured field:

1. (Pure) mathematical research

2. Mathematics := key technology for many

applied sciences

high level of adaptivity required,

„new“ competencies demanded

Broad audience:


eLearning/Knowledge Systems in Mathematics:

Content Area:

Granular knowledge atoms with interactive components, allowing • composition of different courses• adaption to different target groups

Semantic Retrieval Area:

User-specific retrieval of information and visualization of relations• answers to individual requests• „knowledge nets“

Intelligent Training Area:

Granular training material, highly interactive, using intelligent validation: • adaptation to learning goals• support self-directed learning

Virtual Laboratories Area:

Self-directed learning environment, supporting• explorative learning• individualized learning

Uwe Sinha


Berlin 2005

30. November 2005

2. Mumie: Ideas & Concept


Mumie: eLearning Categories

• Courses from granular elements of knowledge• Composition with the CourseCreator tool• Interactive multimedia elements• Non- linear navigation

• Excercises, combined into to “Exercise paths”• Interactive, constructive environment• Embedded in an exercise network• Intelligent input & control mechanisms

• User driven information retrieval system• Knowledge networks• User defined constructions• includes an “encyclopedia”

VirtLabs

• Combinable experiments• Explorative learning and research• Experiments integrating CAS & Num. Tools• Intelligent input & control mechanisms

Retrieval

TrainingContent


Mumie Design Concepts:

•Support multiple learning scenarios•Support classroom-style teaching

General Design Concepts:

Pedagogical Concept:

Concept for contents:

TechnicalConcept:

•Visualize mathematical contexts•Non-linear navigation•Visualize mathematical concepts & objects•Support experimental scenarios•Support explorative learning•Adapt to individual learning styles

•Modularity – Granularity•Mathematical precision•Split “Teacher - Author” • Split “Content – Use“

• DB based on field-specific ontology• XML-Technology• Dynamic, “on-the-fly“, generation of pages• Strict separation of content and layout• Theme concept for user-adaptive presentation• MathML used for presentation of mathematical symbols

• OpenSource


Mumie: Architecture

PostgreSQL Database(Contents, Stylesheets,…)

Java Application Server(Processes requests,delivers documents)

Browser


Mumie Screenshots:


CourseCreator:

Course withoutcontent assigned

Course withcontent assigned


3. MmTeX & Mmcdk: eLearning Contents for Mathematics


General Demands:

• Based on authoring standards of community – Mathematics: LaTeX

• Support development of interactive, multimedial elements– good mathematician / teacher ≠ good programmer / designer

• Allow reusability of contents– Granularity

• Support variety of pedagogical concepts• Support existing standards as far as possible


MmTeX: Create mathematical contents

• Converter based on LaTeX– Supports “MumieTeX” and parts of “normal” LaTeX– MumieTeX designed for pedagogical concepts of “Mumie”– supports integration of interactive, multimedia contents (pictures, applets)


MmTeX: Mumie-TeX Code Example

\documentclass[sloppy]{japs.subelement.remark}

%Metadaten

\begin{content} \title{Example} Part of Laplace's formula for determinants: $\text{det}A = \sum_{k=1}^n A_{ik} (-1)^{i+k} \text{det} S_{ik}(A) \quad \forall i \in \{1, \ldots, n\} \quad$ A matrix: \[A=\begin{pmatrix} 3 & 19 & 27 & 22,5 \\ 45 & 1 & x & \lambda \end{pmatrix}\]\end{content}


Result


Mmcdk: Concept

• Java-based shell environment for “Mumie – Authors”• Offers “explorer-like” overview of all existing content, including a preview• Provides templates for recurring elements• Allows to search and navigate within the contents


4. Outlook• Mumie: Version Control & Management of MumieTeX-

Sources

• MmTeX: Support semantical encoding

• Mmcdk: “talk“ with Mumie DB, get a GUI


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hendricks / jeschke / thomsen / weinzierl mumie elearning environment and authoring tool for a...

Documents

uwe sinha mumie

uwe sinha tu berlin

new learning

background slide

outlook slide

ideas concept slide

institute of mathematics

nonlinear learning styles