Falmagne, J.-C., Albert, D., Doble, C., Eppstein, D., Hu, X. (Eds.)
2013, XII, 354 p. 65 illus., 15 illus. in color.
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The combinatoric and stochastic search engine described in the book monitors a unique knowledge assessment mechanism that produces the exact list of concepts that the student is ready to learn
This technology is meant to replace psychometric techniques and models that are the basis for current standardized testing
The technology is the basis of the ALEKS system, which has been used successfully by millions of students in the US and abroad in both K12 and higher education
The book describes up-to-date applications and relevant theoretical results. These applications come from various places, but the most important one, numerically speaking, is the internet based educational system ALEKS. The ALEKS system is bilingual English-Spanish and covers all of mathematics, from third grade to the end of high school, and chemistry. It is also widely used in higher education because US students are often poorly prepared when they reach the university level. The chapter by Taagepera and Arasasingham deals with the application of knowledge spaces, independent of ALEKS, to the teaching of college chemistry. The four chapters by Albert and his collaborators strive to give cognitive interpretations to the combinatoric structures obtained and used by the ALEKS system. The contribution by Eppstein is technical and develops means of searching the knowledge structure efficiently.
Content Level »Graduate
Keywords »Accurate and precise assessment - Alternative to psychometric testing - Efficient teaching
Overview:- Assessing Mathematical Knowledge in a Learning Space.- ALEKS Based Placement at the University of Illinois.- A Potential Technological Solution in Reducing Achievement Gap Between White and Black Students.- Is There a Relationship Between Interacting with a Mathematical Intelligent Tutoring System and Students Performance on Standardized High-Stake Tests?.- Using Knowledge Space Theory To Assess Student Understanding of Chemistry.- Mathematical Compendium.- Heuristics for Generating and Validating Surmise Relations across, between, and within Sets.- Recent Developments in Competence-based Knowledge Space Theory.- Recent Developments in Performance-based Knowledge Space Theory.- Skills, Competencies and Knowledge Structures.- Learning Sequences.- Index.- Reference.