Thursday, September 15, 2005

ALEKS - the new way to learn math on the World Wide Web 

ALEKS
"ALEKS is the new way to learn math on the World Wide Web. By knowing exactly which math concepts the student has mastered, which are shaky, and which are new but within reach, ALEKS enables the student to work on those concepts the student is most ready to learn. ALEKS is a full-time automated tutor, including explanations, practice and feedback. ALEKS closely interacts with the student, continuously updating its precise map of the student's knowledge state. ALEKS combines the advantages of one-on-one instruction and evaluation with the convenience of being on-call, on your computer, 24 hours a day, seven days a week. The cost of ALEKS is a small fraction of the cost of a human tutor."

"ALEKS is based on a field of Cognitive Science (Mathematical Psychology) called ``Knowledge Spaces.'' The purpose of research in Knowledge Spaces is to model human knowledge in any subject, using mathematical tools such as Set Theory, Combinatorics, and Markovian Processes, so as to make possible fast and accurate assessment through interactive computer applications. There are numerous scientific publications in the field of Knowledge Spaces dating back to the early 1980's. A recent, authoritative treatment (with Bibliography) is Doignon & Falmagne, Knowledge Spaces (Springer-Verlag, 1999)."

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