The act of explaining can help students to develop new understandings of mathematical ideas, construct rules for solving problems, become aware of misunderstandings or a lack of understanding and develop their mathematical communication. Their explanations can also offer opportunities for a teacher to understand more fully what the students are…

In this article I posit translation as philosophical operation that disrupts commonsense meaning and understanding. By defamiliarising language, translation can arrest thinking about a text in a way that assumes the language is understood. In recent work I have grappled with the phrase "ways of knowing", which, for linguistic and conceptual…

Asserts that the field of discourse processing offers some solutions to the challenge of promoting deep comprehension during learning. Sketches the salient components of discourse processing mechanisms and points out how such mechanisms can be recruited to improve deep comprehension. (EV)

After describing the principles of culturally compatible education, the characteristics of Native American and mainstream narrative discourse are compared, and teaching the structure, content, and style of mainstream narratives is advocated. A program designed to facilitate Native American elementary school children's abilities to comprehend and…