Learning Spaces Interdisciplinary Applied Mathematics /

• Κύριοι συγγραφείς: Falmagne, Jean-Claude (Συγγραφέας), Doignon, Jean-Paul (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Θέματα: Mathematics.; Computer science > Mathematics.; Multimedia information systems.; Artificial intelligence.; Education > Data processing.; Applied mathematics.; Engineering mathematics.; Mathematics > Study and teaching.; Applications of Mathematics.; Artificial Intelligence (incl. Robotics).; Multimedia Information Systems.; Math Applications in Computer Science.; Computers and Education.; Mathematics Education.

Learning spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessment of mathematical knowledge. From a mathematical standpoint, learning s...

Πίνακας περιεχομένων:

• Overview and Mathematical Glossary
• Knowledge Structures and Learning Spaces
• Knowledge Spaces
• Well-Graded Families
• Surmise Systems
• Skill Maps, Labels and Filters
• Entailments and the Maximal Mesh
• Galois Connections
• Descriptive and Assessment Languages
• Greedoids, Learning Spaces, and Antimatroids
• Learning Spaces and Media
• Probabilistic Knowledge Structures
• Stochastic Learning Paths
• A Continuous Markov Procedure
• A Markov Chain Procedure
• Building a Knowledge Structure
• Building a Learning Space
• Applications
• Open Problems.