This paper is about the role and the potential of the history of mathematics in mathematics education. We report a discussion that we had about theoretical issues in this context, particularly about the notion of Otherness as developed by the French philosopher Emmanuel Levinas. The focus is on the reading of historical texts, both in the context…

This in-depth examination of a line explores several ways that the infinite nature and finite representation of a line can be perceived. These attempts to understand the nature of the line give insights into the nature of understanding itself. (MDH)

Suggests that contexts may be useful in mathematics instruction in relation to learning transfer and that the factors that determine whether a context is useful are complex. Discusses the context effect, learning in context, how well students identify with tasks taken out of an adult world, and the effects of ethnomathematics. (MDH)

Didactic transposition theory asserts that bodies of knowledge are designed not to be taught but to be used. Discusses didactic transposition, the transposition of knowledge regarded as a tool to be used to knowledge as something to be learned in mathematics textbooks. (14 references) (MDH)

Begins with the assumption that by practicing something one often learns something else. A discussion is presented on the historical and social development of knowledge, the cognitive development of students, the role of teachers, and the meaning of learning situations. (PK)

Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)