Diagnostic tests clustering in English prepositions learning according to Bloom's taxonomy

The paper studies diagnostic test clustering in English preposition learning in terms of adaptive learning. The proposed clustering technique is based on Bloom's taxonomy that suggests creating diagnostic test banks according to cognition levels. We introduced a set of definitions and notations to present the clustering technique and “multiple choice” algorithms. We conducted a series of computational experiments using modeled answers to support the theoretical outcomes by k-means, c-means, and hierarchical clustering methods.