Index systems are central to our everyday and intellectual lives. Their ubiquity and diversity make them an important class of cognitive artifacts, the study of which has implications for our understanding of representational systems in general. This paper builds schema-theoretic network models of the nature of the memory structures, that underpin the interpretation of indexing systems. We identify four common classes of index systems. Using Representation Interpretation Structure Theory, we ex-plain how the four basic classes can be responsible for the substantial diversity among index systems.

Previous studies have shown that temporal metrics of writing behavior in simple transcription tasks have some potential for use in the assessment of student learning. This study explores whether spatial metrics, specifically the distance between written strokes, may also have potential for the assessment of competence. Students, N=219, copied sets of equations with different spatial layouts and equation complexity. Although students’ level of competence is manifest to an extent in distributions of distance metrics, the effects of spacing are weaker than with temporal metrics. Stimuli format contrary to the standard mathematical spacing formats may differentiate high and low competent students.

Transcription with Incremental Presentation of the Stimulus (TIPS) is a novel approach relying on micro-behaviours proposed by Colarusso and colleagues (2023) to study users' cognition with data visualizations. The study in this paper has two primary objectives: (a) investigate whether TIPS can measure an individual's competence with data visualizations; and (b) explore the potential enhancement of TIPS measures by normalizing them with the individual's performance on tests of visuo-spatial abilities and memory capacity. We test 30 participants with different expertise and cognitive skills. Results reveal that TIPS provides some promise for individual competence assessment, but only when normalized with the individual's performance on a test of rigid transformation of mental images. Other tests measuring visuospatial abilities or memory capacity did not produce effective normalizations.