Learning spaces: A mathematical compendium

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Abstract

The core of an educational software based on learning space theory, such as the ALEKS system, is a combinatorial structure representing the cognitive organization of a particular curriculum, like beginning algebra or 4th grade arithmetic. This structure consists in a family K of subsets of a basic set Q. The elements of Q are the types of problems to be mastered by a student learning the curriculum.

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Doignon, J. P., Falmagne, J. C., & Cosyn, E. (2013). Learning spaces: A mathematical compendium. In Knowledge Spaces: Applications in Education (pp. 131–145). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-35329-1_8

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