Students' struggles with algebra are well documented. Prior to the introduction of functions, mathematics is typically focused on applying a set of arithmetic operations to compute an answer. The introduction of functions, however, marks the point at which mathematics begins to focus on building up abstractions as a way to solve complex problems.…

Pedagogical patterns have been around since 1995, but several authors claim their impact is limited. However, these claims are based on authors' own observations and not on methodical evaluations of the use and dissemination of pedagogical patterns. This claim is in contrast to the vision of the creators of pedagogical patterns--they think…