Note on two necessary and sufficient axioms for a well-graded knowledge space |
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Authors: | Eric Cosyn Hasan B Uzun |
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Institution: | ALEKS Corporation, Santa Ana, CA, United States |
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Abstract: | We introduce two pedagogically sound axioms for a knowledge structure modeling a student’s learning: outer fringe coherence and learning smoothness. We show that the knowledge structures satisfying these two axioms are equivalent to well-graded knowledge spaces. |
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