The present study tested the possibility of operationalizing levels of knowledge acquisition based on Vygotsky's theory of cognitive growth. An assessment tool (SAM-Math) was developed to capture a hypothesized hierarchical structure of mathematical knowledge consisting of procedural, conceptual, and functional levels. In Study 1, SAM-Math was…

To act and think, children and adults are continually required to ignore irrelevant visual information to focus on task-relevant items. As real-world visual information is organized into structures, we designed a feature visual search task containing 3-level hierarchical stimuli (i.e., local shapes that constituted intermediate shapes that formed…

This dissertation tests a dynamic assessment-based cognitive hierarchy model and attempts to identify mathematical concepts that predict student learning potential on more advanced mathematical concepts using the units from ST Math, a self-paced curriculum, for third, fourth, and fifth grade students. The quantitative analyses compared a…