Eric Cosyn

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This paper is adapted from a book and many scholarly articles. It reviews the main ideas of a novel theory for the assessment of a student's knowledge in a topic and gives details on a practical implementation in the form of a software system available on the Internet. The basic concept of the theory is the 'knowledge state,' which is the complete set of(More)
This paper is adapted from a book and many scholarly articles. It reviews the main ideas of a novel theory for the assessment of a student's knowledge in a topic and gives details on a practical implementation in the form of a software system available on the Internet. The basic concept of the theory is the 'knowledge state,' which is the complete set of(More)
As implemented in the system discussed here, the assessment of knowledge in a learning space for a scholarly topic, such as beginning algebra, is comprehensive by design, in that the types of problems that can be asked in any assessment come from a large collection encompassing the full curriculum for the topic. The product of an assessment is a knowledge(More)
Any proper subset Q of the domain Q of a learning space K defines a projection of K on Q which is itself a learning space consistent with K. Such a construction defines a partition of Q having each of its classes either equal to {∅}, or preserving some key properties of the learning space K, namely closure under union and wellgradedness. If the set Q(More)
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