Using APOS theory as a framework for considering slope understanding

In this paper a framework for slope is proposed using APOS (Action-Process-Object-Schema) Theory and conceptualizations of slope previously identified in research. The proposed APOS-slope framework allows for discussion of students’ cognitive development in relation to different conceptualizations of slope. As such, it may be adopted as a means to advance future research or as a way to plan instruction. In particular, the framework uses specific examples to consider interrelations between the ways of thinking about slope that have been reported to provide additional insight on how individuals understand this concept. The proposed framework contributes to the field by bringing together a number of past studies related to slope and providing a common ground under which these works might be interpreted.