Learning Spaces: Interdisciplinary Applied Mathematics
| Author | : | |
| Rating | : | 4.65 (683 Votes) |
| Asin | : | 3642422772 |
| Format Type | : | paperback |
| Number of Pages | : | 417 Pages |
| Publish Date | : | 2015-07-23 |
| Language | : | English |
DESCRIPTION:
Leaning spaces have become the essential structures to be used in assessing students' competence of various topics. Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes. A practical example is offered by ALEKS, a Web-based, artificially intelligent assessment and learning system in mathematics and other scholarly fields. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. Numerous examples and exercises are included, together with a
. His research covers various aspects of discrete mathematics (graphs, ordered sets, convex polytopes, etc.) and applications to behavioral sciences (preference modeling, choice representation, knowledge assessment, etc.). His research interests span various areas, focusing on the application of mathematics to educational technology, psychophysics, choice theo
54 (2), 2012)“This book is an enlarged second edition of the 1999 ‘Knowledge Spaces’ by the same authors. Thus, the creative mathematician will find material capable of entertaining him or her for some time. 1205, 2011). … there is no doubt that reading and working with this book will be rewarding for the mathematician and useful for scientists from very different areas. From the reviews:“The book deals with the construction of knowledge spaces and learning spaces … . In many aspects it has the potential to serve as a guideline to a new and theoretically better founded form of psychometry.” (Reinhard Suck, SIAM Review, Vol. … The authors cover both deterministic and probabilistic models, justify their findings and g
Sammy said Excellent, well written book that puts adaptive learning on. Excellent, well written book that puts adaptive learning on a solid foundation. While it's geared for an R&D person - it is well written with plenty of examples and motivations for application in developing and improving existing or envisioned adaptive learning systems. Well done!