Quadratic equations are a notorious topic for the challenge it provides to students in secondary mathematics. Despite this, there is limited research, particularly in the Australian context, that explains why such challenges persist. This article details the causes of Year 11 students' difficulties in solving quadratic equations. Observing…

This article describes an investigation into teaching and learning with student-generated animations combined with a representational pedagogy. In particular, it reports on interactive discussions that were stimulated by the students' own animations as well as their critiques of experts' animations. Animations representing views of states of…

This article presents popular misconceptions on teaching culturally relevant books and provides strategies that can inform the search, selection, and teaching of books in culturally responsive ways. Informed by relevant research and insights gained from collaboratively teaching a children's literature course at college level, I discuss how the…

Informal reasoning fallacies are violations of critical discussion norms. As epistemological understanding of knowledge justification appears to underlie the informal reasoning skills of argument construction and evaluation, it was hypothesized that adolescents with greater epistemological sophistication would be more able to identify informal…