Covariational reasoning, essential for understanding functions and modeling dynamic situations, is traditionally introduced in secondary education. This paper proposes introducing covariational reasoning in primary school settings through an artifact, the Tracer. Previous studies investigate a covariational approach to functions with younger…

Felix Klein's Erlangen program classifies geometries based on the kinds of geometric transformations that preserve key properties of their figures, rather than focusing on the geometric figures themselves. This shift in perspective, from figurative to operative, fits Piaget's characterization of mathematical development. This paper considers how…

Interviewed six students from each of four secondary mathematics teachers to investigate the influence of teachers' views concerning error making in mathematics on the children's image of mathematics. Results indicated strong links between teachers' images and the images of their students. (15 references) (MDH)

Proposes using multiple-entry logs in which students reflect on mathematics problems as a focal point for teacher-student interactions during office hour tutoring. Other benefits cited include increased mathematical confidence and awareness; improved connections involving mathematical concepts; improved teacher-student communications and…