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…

For the last decade, remedial spatial visualization training has been offered to first-year engineering students in traditional classroom settings where students attend class and interact face-to-face with an instructor and peers. An alternative to the traditional pedagogical approach is a multi-modal blended learning format that combines in-class…

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…

Improvement in instructional practices through dynamic means of delivery remains a central consideration to technology educators. To help accomplish this, one must constantly utilize contemporary and cutting-edge technological applications in attempts to provide a more beneficial learning experience for students. These technologies must…

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…

Spatial abilities are fundamental to human functioning in the physical world. Spatial reasoning allows people to use concepts of shape, features, and relationships in both concrete and abstract ways, to make and use things in the world, to navigate, and to communicate. Surgeons, pilots, architects, engineers, mechanics, builders, farmers, trades…

The results of an experiment in teaching engineering graphics using the traditional lecture-homework-laboratory technique are compared to a newer lecture homework proposal. Although the newer method reduces professor-student contact, it may prove to be as effective as the older method requiring laboratory instruction. (KR)

This article presents methods and theory behind promoting children's spatial awareness through representing 3D reality in 2D cyberspace. Spatial awareness in children is an often neglected aspect in early education. However, applications such as GPS and 3D modeling programs can be used to offer children rich experiences that allow children to…

An explanation of 3-D Computer Aided Design (CAD) usage to teach spatial geometry concepts using nontraditional techniques is presented. The software packages CADKEY and AutoCAD are described as well as their usefulness in solving space geometry problems. (KR)