Cargando…

Learning Spaces Interdisciplinary Applied Mathematics /

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Falmagne, Jean-Claude (Autor), Doignon, Jean-Paul (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-642-01039-2
003 DE-He213
005 20220120000020.0
007 cr nn 008mamaa
008 100917s2011 gw | s |||| 0|eng d
020 |a 9783642010392  |9 978-3-642-01039-2 
024 7 |a 10.1007/978-3-642-01039-2  |2 doi 
050 4 |a T57-57.97 
072 7 |a PBW  |2 bicssc 
072 7 |a MAT003000  |2 bisacsh 
072 7 |a PBW  |2 thema 
082 0 4 |a 519  |2 23 
100 1 |a Falmagne, Jean-Claude.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Learning Spaces  |h [electronic resource] :  |b Interdisciplinary Applied Mathematics /  |c by Jean-Claude Falmagne, Jean-Paul Doignon. 
250 |a 1st ed. 2011. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2011. 
300 |a XV, 417 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a 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. 
520 |a 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 spaces as well as knowledge spaces (which made the title of the first edition) generalize partially ordered sets. They are investigated both from a combinatorial and a stochastic viewpoint. The results are applied to real and simulated data. The book gives a systematic presentation of research and extends the results to new situations. It is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate levels. The text contains numerous examples and exercises, and an extensive bibliography. 
650 0 |a Mathematics. 
650 0 |a Artificial intelligence. 
650 0 |a Multimedia systems. 
650 0 |a Computer science-Mathematics. 
650 0 |a Education-Data processing. 
650 0 |a Mathematics-Study and teaching . 
650 1 4 |a Applications of Mathematics. 
650 2 4 |a Artificial Intelligence. 
650 2 4 |a Multimedia Information Systems. 
650 2 4 |a Mathematical Applications in Computer Science. 
650 2 4 |a Computers and Education. 
650 2 4 |a Mathematics Education. 
700 1 |a Doignon, Jean-Paul.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783642010408 
776 0 8 |i Printed edition:  |z 9783642422775 
776 0 8 |i Printed edition:  |z 9783642010385 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-642-01039-2  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)