Provides a rebuttal to critical comments on the author's earlier article concerning the concept of epistemological rationality. Main disagreements center on the view that the use of terms with evaluative connotations about cognitive functions have a potential for abuse and that one cannot make judgments about the relative efficacy of the…

Burn (2005) proposes a "genetic approach" to teaching limits of numerical sequences. The article includes an explanation of the Method of Exhaustion, a generalization of this method, and a description of how this method was used for obtaining areas and lengths in the seventeenth century. The author uses these historical and mathematical analyses…

The first section of this two-part document, The Hermeneutic Struggle: A Teaching Method, explores the author's pedagogical explanation of a hermeneutic approach to teaching philosophy. According to the article, the teacher should come to the classroom and be able to approach the subject matter from the perspective of the beginner, yet, at the…