Three distinct learner profiles emerge from function art activities: Repetitivists, Simplists, and Multifunctionists¶

Claim · All claims
Evidence · 1 study · design r2 · q2
Currency · newest study 2026 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i? Hierarchical clustering on principal components of function count and function diversity identified three distinct student profiles in function art activities. → Bautista 2026

Evidence¶

Bautista 2026¶

Bautista, G. Jr., Cacuyong, R., Lavicza, Z., Sabitzer, B., & Emara, M. (2026). Function Art: Understanding the Artistic Transformation of Mathematical Functions through Learning Analytics. Journal of Learning Analytics, 13(1). https://doi.org/10.18608/jla.2026.9037

q2 · i? · design · r2

Cluster analysis of 400 artworks using HCPC (PCA, Ward's linkage, k-means refinement) on log-transformed and standardized function count and diversity variables yielded a three-cluster solution. The Silhouette coefficient of .30 indicated fair quality, and cross-validation confirmed stability with 94.4% classification accuracy.

"When performing Cluster analysis on the whole dataset, three clusters emerged. Cluster 1: “Repetitivist” (n = 62, 15.5%, 19 males, 43 females): students with a low number of function types and a high number of functions."

Discussion¶

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