Geometry learning has a long history with the connection to human cognitive development. The ability to mentally or physically orient 2D shapes or 3D objects in space is believed to support achievement in science, technology, engineering, and mathematics (STEM) disciplines. Thus, geometry by its description is characterised by space; hence its…

A novel method to create a physicalization of Digital Earth resulted a new type of analogue and tactile geographic information system (GIS). The model was tested by students in Australia, who shared insights into how the model supported their learning about the concept of "overlay" while providing an interesting and engaging learning…

This study explored the relationship between teachers' content knowledge and their pedagogical skills, and reports on that relationship in the teaching of Assembly Drawing (AD) in a South African context. Given that Engineering Graphics Design (EGD) learners perform poorly in the AD section of the matriculation examination, we need to understand…

One hundred and fifty-nine Grade 11 prospective disadvantaged students in the natural sciences at the University of Pretoria completed the Study Orientation Questionnaire in Mathematics and the Senior Aptitude Test (Advanced). Fifty-nine male students (M age = 16.05; SD = 0.57) and 100 females (M age = 16.02; SD = 0.512) scored significantly…

Adam, an 11th grader, was identified as gifted and accepted into a two week summer enrichment program. He signed up for "Geometry with Flash Programming." He had no prior programming experience but had a strong and healthy self-image as mathematics student. Although Adam had a positive attitude toward mathematics and saw himself as a successful…

Innovation and enterprise depend for their success on the development of new ideas. But from where do new ideas come? How do they arise? Finding solutions to such questions is at the heart of creativity research and the solving of novel problems. Reflection, not only in cognitive processes but also in the non-cognitive ones used in solving novel…