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A Learning Environment for Mathematics Martin Homik, Erica Melis -- ActiveMath Group – ABIS 2004, Berlin German Research Center for Artificial Intelligence DFKI GmbH, Saarbrücken
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],ActiveMath‘s Features
Different users – one topic ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
„ Eva‘s Books“
„ A Book“ Good mastery Medium mastery Weak mastery
„ A Book“
Scenario: Overview
Scenario: Exam
Scenario: No sufficient knowledge
Scenario: No sufficient knowledge
Adaptivity: Field Mathematics Biology Physics
Knowledge Representation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Knowledge Representation ,[object Object],[object Object],Concepts Additional Definitions Assertions Proof Axioms Examples Exercises Motivation Elaboration ,[object Object],[object Object],[object Object],[object Object],[object Object]
User Model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A 1 A 2 A 3 A 4 A 5
User Model: Justification ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],History Profile (mastery) A 1 A 2 A 3 A 4 A 5
User Model: Update ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Software Eyetracker (DFKEye) ,[object Object],[object Object]
Course Generation User Model mBase Pedagogical Rules Course Generator
Course Generation (1) Goal concept ,[object Object],[object Object],[object Object],[object Object]
Course Generation (2) Goal concept ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Course Generation (3) Goal concept ,[object Object],[object Object],[object Object]
Architecture mBase Pedagogical Rules Web Server Session Manager Math Systems Course Generator Presentation Generator (XSLT) XML-RPC Java http http User Model History Profile
LeActiveMath ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Conclusion  www.activemath.org ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Abis04

Editor's Notes

  1. Let me briefly introduce myself. My name …, working at …, Today I present ActiveMath, a learning environment for Mathematics