Teachers whose mathematical meanings support understanding across different contexts are likely to convey them in productive ways for coherent student learning. This exploratory study sought to elicit 67 secondary mathematics pre-service teachers' (PSTs) meanings for quadratics with growing pattern creation and multiple translation tasks. A…

Reports on a study that examined potential links between mental models constructed by students, the organizational quality of students' prior geometric knowledge, and the use of that knowledge during problem solving. Suggests that the quality of geometric knowledge that students develop could have a powerful effect on their mental models and…