Seeing How It Goes: Paper-and-Pencil Reasoning in Mathematical Practice
This essay began as a faculty research talk and compares three forms of paper-and-pencil reasoning in mathematics, both what they share and how they differ. I have discussed each of the three forms of reasoning in other essays but only here bring those discussions together so as to compare them. --author-supplied description
Macbeth, Danielle. “Seeing How It Goes: Paper-and-Pencil Reasoning in Mathematical Practice”, Philosophia Mathematica 20 (1): 58-85. 2011.