Continuing our critique of the classical derivation of the formula for the area of a disk, we focus on the limiting processes in geometry. Evidence suggests that intuitive approaches in arguing about infinity, when geometric configurations are involved, are inadequate, and could easily lead to erroneous conclusions. We expose weaknesses and…

This article reenvisions fallacies for composition classrooms by situating them within rhetorical practices. Fallacies are not formal errors in logic but rather persuasive failures in rhetoric. I argue fallacies are directly linked to successful rhetorical strategies and pose the visual organizer of the Venn diagram to demonstrate that claims can…

This article examines Wayne C. Booth's legacy as a teacher and scholar through the concept of rhetoric as mutual inquiry that he develops from "Modern Dogma and the Rhetoric of Assent" (1974) through "The Rhetoric of Rhetoric" (2004). Booth's work connects the political and pedagogical in pragmatic and productive ways…

The 1996 National Assessment of Educational Progress math scores for eighth-graders show that when socioeconomic status is considered, English-proficient Asian students have no achievement advantage over other ethnic groups. However, Chinese sixth-graders, using abstract reasoning skills, outperformed American students on 12 open-ended math…