Generalizing, conjecturing, representing, justifying, and refuting are integral parts of algebraic thinking and mathematical thinking in general (Lannin et al., 2011). The activity described in this article makes a case for generalizing as an overall mindset for any introductory algebra or geometry class by illustrating how generalization problems…

This paper seeks to establish a research framework for an investigation into the extent to which pupils are able to visualise figural cues in multiple ways within the context of pattern generalisation. Enactivism, along with the constructs of knowledge objectification and figural apprehension, are identified as forming an ideal theoretical…