Classically, geometry has been the subject in which students encounter mathematical proof based on formal deduction. Attention to proof in the geometry curriculum is strengthened by a focus on reasoning and sense making. This book examines the four key elements (conjecturing about geometric objects, construction and evaluation of geometric…

This article compares measures of abstract thinking preference and divergent thinking to standard mathematics ability measures such as the Scholastic Aptitude Test (SAT). In this study involving gifted tenth graders, mathematical creativity was found to be a special kind of creativity not necessarily related to divergent thinking ability. (PB)

Imagery use in high school mathematics classrooms was studied. A visual image was defined as a mental scheme depicting visual or spatial information, but this definition was not spelled out to teachers or students, in order to learn what they meant by the concept. Subjects were 13 high school teachers and 54 of their students interviewed over 3…