In this study, we examined graphical representations in several mathematics, science, and engineering textbooks and practitioner journals with the goal of identifying similarities and differences across these sources. To do this, we drew from the extant research on students interpreting graphs and reasoning covariationally to develop a framework…

This study investigates prospective elementary and secondary school mathematics teachers' ways of reasoning about differentiability at a point and corner points while working on a mathematical modelling activity. Adopting a multiple-case study design, the participants of the study were 68 prospective elementary school mathematics teachers enrolled…

The role of imagery in mathematical thinking and learning is discussed. The use of diagrams and charts is suggested as promoting imagery. (MP)

Teachers of first-year college mathematics and engineering courses must often spend considerable time reviewing material originally taught in high school. Instead of this being a mere exercise in repetition, this article suggests that such a review can enrich and revitalize by unifying some of the subjects that need to be re-taught. In the example…