Learning spaces offer a rigorous mathematical foundation for
practical systems of educational technology. Learning spaces
generalize partially ordered sets and are special cases of
knowledge spaces. The various structures are investigated from the
standpoints of combinatorial properties and stochastic
processes.
Leaning spaces have become the essential structures to be used
in assessing students' competence of various topics. A practical
example is offered by ALEKS, a Web-based, artificially intelligent
assessment and learning system in mathematics and other scholarly
fields. At the heart of ALEKS is an artificial intelligence engine
that assesses each student individually and continously.
The book is of interest to mathematically oriented readers in
education, computer science, engineering, and combinatorics at
research and graduate levels. Numerous examples and exercises are
included, together with an extensive bibliography.
General
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