Languages for the assessment of knowledge
Journal of Mathematical Psychology
A Markovian procedure for assessing the state of a system
Journal of Mathematical Psychology
Validity of spaces for assessing knowledge about fractions
Journal of Mathematical Psychology
A generalization of knowledge space theory to problems with more than two answer alternatives
Journal of Mathematical Psychology
Knowledge Spaces
Introduction To Automata Theory, Languages, And Computation
Introduction To Automata Theory, Languages, And Computation
Adaptive Assessment and Training Using the Neighbourhood of Knowledge States
ITS '96 Proceedings of the Third International Conference on Intelligent Tutoring Systems
A KST-BASED SYSTEM FOR STUDENT TUTORING
Applied Artificial Intelligence
Bayesian student models based on item to item knowledge structures
EC-TEL'06 Proceedings of the First European conference on Technology Enhanced Learning: innovative Approaches for Learning and Knowledge Sharing
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The results of this paper can be applied to construct efficient algorithms for the adaptive assessment of the students' knowledge. The problem of knowledge assessment is a special case of the problem of assessing the state of a system. These results are obtained suggesting a new assessment algorithm whose formal equivalence to previously suggested assessment algorithms is proven. A simulation study illustrates the vast improvements of efficiency with the new algorithm.