The purpose of these notes is to generalize and extend a challenging geometry problem from a mathematics competition. The notes also contain solution sketches pertaining to the problems discussed.

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

In the most general sense, mathematical thinking can be defined as using mathematical techniques, concepts, and methods, directly or indirectly, in the problem-solving process. In this study, efforts were made to include the Graph Theory of mathematics, which is found abundantly in physics, chemistry, computer networks, economics, administrative…

Preliminary research shows promise for the use of supported electronic text (eText) combined with explicit instruction in facilitating comprehension for students with intellectual disability. Researchers used a multiple probe across participants design to evaluate effects of supported eText including explicit instruction on measures of vocabulary,…

In an era in which information is rapidly growing and changing, it is very important to teach with the goal of students' engagement in life-long learning in mind. This can partially be achieved by developing transferable thinking skills. In our previous paper--Part I, we conducted a review of the transfer literature and suggested a three-attribute…