In this paper, we draw on our recent research to inspect again some of the theoretical perspectives we have been using to analyze data and to characterize teaching-learning in university settings. We focus particularly, within a sociocultural perspective on Activity Theory and the construct the "Teaching Triad," seeking to embed the…

When a number sentence includes more than one operation, students are taught to follow the rules for the order of operations to get the correct result. In this context, brackets are used to determine the operations that should be calculated first. However, it seems that the written format of an arithmetical expression has an impact on the way…

Students mainly perceive the transition to secondary school as an opportunity to start their school career anew. Reality often proves them wrong, especially in the case of mathematics. In our paper, we briefly discuss children's transition to secondary school as both an opportunity and a problem, with reference to the Greek context. In discussions…

Presents results of a study in Greece, Scotland, and the United States in lower secondary mathematics classes using haptic exploration, the intentional movements of one's hands about an object, as an alternative approach for teaching the geometry of two- and three-dimensional shapes. Students performed poorly with solids. (MKR)

Presented is the development of school geometry in contemporary Greece since the era in which the secondary education system was established (1836). Identified and interpreted are the reasons for the endurance of Euclid's Elements as the basic component of school geometry in Greece. (KR)

Used 2 12-year-old children to investigate deductive and inductive reasoning in plane geometry. A LOGO microworld was programmed to measure distances and turns relative to points on the plane. Learning environments like this may enhance formation of inductive geometrical understandings. (Contains 44 references.) (LDR)