The ability to address and solve problems in minimally familiar contexts is the core business of research mathematicians. Recent studies have identified key traits and techniques that individuals exhibit while problem solving, and revealed strategies and behaviours that are frequently invoked in the process. We studied advanced calculus students…

Elicitation techniques are a category of research tasks that use visual, verbal, or written stimuli to encourage participants to talk about their ideas. These tasks are particularly useful for exploring topics that may be difficult to discuss in formal interviews, such as those that involve sensitive issues or rely on tacit knowledge. Elicitation…

Findings derived from self-reported, structured survey questionnaires are commonly used in evaluation and applied research to inform policy-making and program decisions. Although there are a variety of issues related to the quality of survey evidence (e.g., sampling precision), the validity of response processes--how respondents process thoughts…

One-to-one interviewing is one of the most powerful ways of exploring young children's thinking. While there are a few studies which report the use of this pedagogic strategy by preservice teachers, more are needed. This paper describes an early childhood mathematics education assignment which preservice teachers in a teacher-education college in…