Many students in the United States, Canada, and around the world are required to take externally developed examinations. In many cases, these examinations are considered high stakes, and thus teachers spend time in class ensuring that their students are ready for the tests. After speaking with secondary math teachers about their experiences, the…

Shapedoku is a new type of puzzle that combines logic and spatial reasoning with understanding of basic geometric concepts such as slope, parallelism, perpendicularity, and properties of shapes. Shapedoku can be solved by individuals and, as demonstrated here, can form the basis of a review for geometry students as they create their own. In this…

Many mathematics teachers struggle to support their students' developing understanding of proof as an essential element in investigations of mathematics. The area of mathematics where the development of an understanding of proof is most challenging is algebra. In the case of algebraic proof, analysis of student written work on tasks that demand…