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Interactive Concept Mapping in ActiveMath (iCMap)

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Martin Homik
Martin Homik

Describes a tool for conept mapping in mathematics that offers feedback, evaluation, and suggestions. It is part of the ActiveMath learning environment.

Economy & FinanceEducation
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nteractive oncept ping in (iCMap) Martin Homik, Erica Melis, Philipp Kärger -- ActiveMath Group – Delfi 2005, Rostock German Research Center for Artificial Intelligence (DFKI GmbH) University of Saarland I C Map
Motivation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Not a Concept Map Fraction calculation Subtraction Addition Multiplication Parts of units Integer Extension Mixed number Division Reduction ,[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],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Not a Concept Map
A Concept Map
iCMap (CoolModes plugin)
iCMap (CoolModes plugin)
Knowledge Representation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S 1 S 2 S 3 D 1 D 2 D 3 T 1 T 2 T 3 Exc 1 Exc 2 Exc 3 Exa 1 Exa 2 Exa 3
Knowledge Representation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S 1 S 2 S 3 D 1 D 2 D 3 T 1 T 2 T 3 Exc 1 Exc 2 Exc 3 Exa 1 Exa 2 Exa 3 for for for for for for for for for
Knowledge Representation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S 1 S 2 S 3 D 1 D 2 D 3 T 1 T 2 T 3 Exc 1 Exc 2 Exc 3 Exa 1 Exa 2 Exa 3 for for Domain prerequisite Domain prerequisite Domain prerequisite
Knowledge Representation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S 1 S 2 S 3 D 1 D 2 D 3 T 1 T 2 T 3 Exc 1 Exc 2 Exc 3 Exa 1 Exa 2 Exa 3 for against isA
iCMap Feedback
iCMap Feedback
Local Feedback
Verification ,[object Object],[object Object],[object Object]
Deductive Relation: Transitivity ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S 1 S 2 S 3 D 1 D 2 D 3 T 1 T 2 T 3 Exc 1 Exc 2 Exc 3 Exa 1 Exa 2 Exa 3 isA isA isA
Deductive Relation: Transitivity ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S 1 S 2 S 3 D 1 D 2 D 3 T 1 T 2 T 3 Exc 1 Exc 2 Exc 3 Exa 1 Exa 2 Exa 3 Domain prerequisite Domain prerequisite Domain prerequisite
Deductive Relation: Equivalence ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S 1 S 2 S 3 D 1 D 2 D 3 T 1 T 2 T 3 Exc 1 Exc 2 Exc 3 Exa 1 Exa 2 Exa 3 isA isA for for equivalence equivalence
Fault Tolerance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],S 1 S 2 D 1 D 2 D 3 T 1 T 2 T 3 Exc 1 Exc 2 Exc 3 Exa 1 Exa 2 Exa 3 for isA isA for for for
ActiveMath Architecture mBase Web Server Session Manager Presentation Generator (XSLT) XML-RPC Java http User Model History Profile JNLP (http)
Conclusion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Thank you!

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Interactive Concept Mapping in ActiveMath (iCMap)

Editor's Notes

  1. Maximale Dauer: 30 Minuten inklusive Diskussion. Pädagogen verwenden eher Mindmaps: Assoziatives Netzwerk Thematische Nähe Concept Maps: Unterstützen Analyse und Reflektion Hierarchisch geordnetes Netzwerk von Begriffen Inhaltliche und logische Beziehungen