This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this…

This research examined the decisions that highly experienced outdoor leaders made on backpacking expeditions conducted by a tertiary institution in the Southern Alps of New Zealand. The purpose of the research was to document decision problems and explore them as Recognition-Primed Decisions (RPD) within naturalistic decision making (NDM)…

This article explores how conceptualizing "the moment" in entrepreneurship contributes to understanding entrepreneurial processes of learning and creativity. The significance of "the aha moment" in entrepreneurial behaviour is widely used at a popular level but has not been well explored in relation to knowledge of human…

This article explores 11- to 16-year-old students' explanations for phenomena commonly studied in school chemistry from an inclusive cognitive resources or knowledge-in-pieces perspective that considers that student utterances may reflect the activation of knowledge elements at a range of levels of explicitness. We report 5 themes in student…

New Zealand's early childhood curriculum, "Te Whariki", has two learning outcomes, dispositions and working theories. While a sociocultural perspective of dispositions has received significant attention in research and teaching, "working theories" as a concept has remained somewhat nebulous. This paper describes ways teachers…

This article reports on a case study from a design-based research project that investigated how students make sense of the disciplinary tools they are taught to use, and specifically, what personal, interpersonal, and material resources support this process. The probability topic of binomial distribution was selected due to robust documentation of…

This study investigates how students participating in the same curriculum construct understanding in elementary thermodynamics during a semester-long eighth-grade physical science class. Two questions were addressed: (1) How does the learners' understanding change during the study of elementary thermodynamics? and (2) What role do students'…