From an APOS (Action-Process-Object-Schema) theory perspective, learning mathematics involves construction of knowledge through mental mechanisms, which evolves between different mental structures or stages. The focus of this study is to explore how transition occurs from an Action to a Process conception, in the context of a task related to the…

This study proposes a framework for investigating how preservice mathematics teachers notice students' reasoning about comparing distributions, including preservice teachers' attention to statistical elements used by students, interpretation of students' understanding, and decision about how to respond to students' statistical reasoning. The…

Finance threshold concepts are the essential conceptual knowledge that underpin well-developed financial capabilities and are central to the mastery of finance. In this paper we investigate threshold concepts in finance from the point of view of students, by establishing the extent to which students are aware of threshold concepts identified by…

Questions regarding the type of teacher input and its effect on immediate and delayed performance in student problem-solving are examined. Specific guidelines for the classroom teacher are then suggested. (Author/MA)