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)

Discussed is the importance of establishing the link between students' understanding of mathematics in real world settings and the symbolism used to represent that mathematics. Examples provide evidence that students and sometimes teachers fail to establish that link. References are given for resources providing strategies and contexts to assist…

When asked to give a talk at a mathematics teacher conference that focused on research in mathematics education, Ruhama Even viewed the invitation as an opportunity to address the meta-question: what can teachers learn from research in mathematics education? The reason for her view was her way of feeling, as a researcher and teacher educator, that…