An assessment model for proof comprehension in undergraduate mathematics

By Juan Pablo Mejía-Ramos, Evan Fuller, Keith Weber, Kathryn Rhoads, Aron Samkoff. Educational Studies in Mathematics, 2011

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Students’ understanding of the structure of deductive proof (2016, background): “In addition, students become aware of the hierarchical structure of the theorems they use and understand the modular structure of their proofs (Mejia-Ramos et al., 2012).”
Self-explanation training improves proof comprehension (2014, methodology): “Like the proof used in Experiment 1, these number theoretical proofs require no advanced knowledge of technical definitions but are logically complex enough to permit study of the various aspects of proof comprehension included in the Mejía-Ramos et al. (2012) framework.”