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Knowledge space

In mathematical psychology and education theory, a knowledge space is a combinatorial structure used to formulate mathematical models describing the progression of a human learner. Knowledge spaces were introduced in 1985 by Jean-Paul Doignon and Jean-Claude Falmagne, and remain in extensive use in the education theory. Modern applications include two…

Products, Model structure & Motivation

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Model structure

Educational subjectFinite setConceptsSubsetAxioms
18 related topics

Motivation

Standardized testingPsychometrySATACTOrdinal
8 related topics

Overview

Mathematical psychologyEducation theoryCombinatorialStructureMathematical models
16 related topics

Construction of knowledge spaces

Item tree analysis
1 related topics

Topics to explore

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Overview

Motivation

Model structure

Construction of knowledge spaces

Advanced semantic analysis

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Map overview Semantic statistics

Knowledge space

Nodes48
Edges47
Triples21
Avg. degree1.96
Density0.041667
Components1

How this topic connects Entity context

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Knowledge space

Top relations

related to Motivation · 7
Knowledge space → ACT, Common, Consequently, Knowledge Space Theory, SAT, The, What
related to Model structure · 5
Knowledge space → Each, If, KIn, Knowledge Space Theory-based, The
related to Construction of knowledge spaces · 4
Knowledge space → Another, In, The, There
is a · 3
Knowledge space → antimatroid, combinatorial structure used to formulate mathematical models describing the progression of a human learner, knowledge structure that is closed under set union
related to Prerequisite partial order · 2
Knowledge space → Birkhoff's, The

Important terminology Word statistics

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Important terminology

knowledge space structure concepts set mathematical theory skills feasible partial spaces student topics learned order collection mastered educational used must

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Knowledge spaceis acombinatorial structure used to formulate mathematical models describing the progression of a human learner0.90text
Knowledge spaceis aknowledge structure that is closed under set union0.90text
Knowledge spaceis aantimatroid0.90text
Knowledge spacerelated to Construction of knowledge spacesIn0.60section
Knowledge spacerelated to Construction of knowledge spacesThe0.60section
Knowledge spacerelated to Construction of knowledge spacesThere0.60section
Knowledge spacerelated to Construction of knowledge spacesAnother0.60section
Knowledge spacerelated to Model structureKnowledge Space Theory-based0.60section
Knowledge spacerelated to Model structureEach0.60section
Knowledge spacerelated to Model structureThe0.60section
Knowledge spacerelated to Model structureIf0.60section
Knowledge spacerelated to Model structureKIn0.60section

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    Min side: 3
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