In the age of big data, interactive data visualizations are becoming increasingly prevalent. The ability to focus on subsets of data is essential for exploring large temporal, geospatial, topical, and network datasets. In order to categorize all parts of data visualizations, various attempts have been made to build frameworks for how to interpret,…

This article condenses five years of professional development based on Technological Pedagogical and Content Knowledge (TPACK) integration principles, National Council of Teachers of Mathematics Principles to Actions (2014), and ISTE Student and Teacher standards to give a launch point for teachers and teacher educators to integrate 3D modeling…

Immersive virtual reality as a tool in the middle-school classroom is a promising avenue to aid in cognitively challenging tasks requiring access to visual processes. As these tools become ever present in society, the expectation of school districts to include them into classroom curricula has become challenging, as there is inconsistent data…

The education of architectural designers begins by learning drawing and digital modelling following the notion that students learn these new modes as instruments of thinking in design process. Curricular arguments persist about which mode should follow the other. Difficulties occur when one mode replaces the other. Students uninitiated to design…

By supplying various combinations of advanced instructions and different forms of exercises individual learning processes within the impartation of basic knowledge can be activated and supported at best. The fundamentals of our class "Introduction to spatial-geometric cognition using CAD" are constructional inputs, which systematically induce the…

Cubic symmetry is used to build the other four Platonic solids and some formalism from classical geometry is introduced. Initially, the approach is via geometric construction, e.g., the "golden ratio" is necessary to construct an icosahedron with pentagonal faces. Then conventional elementary vector algebra is used to extract quantitative…

In this paper, results from a subset of the Purdue Spatial Visualization Test and a self-efficacy test developed by the authors are presented to determine whether certain object shapes, orientations, and types of rotations in standard spatial ability tests cause more difficulty than others and whether a solid object, which includes shading to…