Introduction

• Albert & Hockemeyer (1997) influenced by knowledge space theory as well as the Dexter hypertext reference model (Halasz et al., 1994)
  
• Model can be combined with knowledge space theory and relational algebra and database theory
  Facilitates the combination of efficient procedures from these fields
  
• Domain of knowledge: elementary probability theory
  
• Overview
  • Adaptive Tutoring
    
  • Theoretical models underlying RATH:
    • Knowledge space theory (already introduced)
      
    • Relational model for the structure of hypertext
  • Overview of Held's (1992) analysis of the domain of elementary probability theory used for constructing a simple course for this field.
    
  • Description of the resulting system RATH itself.

Adaptive Tutoring

Theoretical models underlying RATH

• KS Theory (already known): Learning Paths
  
• Relational Hypertext Model

Knowledge Space Theory

• Basic idea for a tutoring system: Learning paths
  Prerequisite relationships between items can be utilized for adaptive assessment of knowledge.
  
• There exists a correspondence between surmise relations and knowledge spaces , i.e. sets of knowledge states.
  
• Given a knowledge space, all possible learning paths can be identified.

  

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