The purpose of this study was to determine how students, teachers, and outside observers perceive teaching effectiveness within a university-level string ensemble rehearsal setting. Students, teachers, and observers reflected on six rehearsal segments that used primarily nonverbal, co-verbal, or verbal instruction as outlined by Bob Culver in the…

Stimulating thinking related to mathematical content is the focus of many tasks in the mathematics classroom. Beyond such content-related thinking, promoting forms of higher order thinking is among the goals of mathematics instruction as well. So-called hybrid tasks focus on combining both goals: they aim at fostering mathematical thinking and…

Instruction promoting reasoning and proof should be a part of K-12 mathematics teaching. Preservice teachers (PSTs) need mathematics content instruction that helps them construct valid justifications for mathematical notions and develop positive perceptions of proof. This case study describes instruction with proof-related tasks and manipulatives…

An essential component skill of monitoring and reflection during problem solving is work checking, a process used by experts while solving problems to determine if their solution is achieving the goal. The results of work checking may reveal errors or inconsistencies, indicating a need for iteration. Using think-aloud interviews, the authors…

The purpose of this case study was to describe how one band director used pedagogical content knowledge while working with beginning-band students to help them develop the skill of playing brass lip slurs. Data were generated from (1) video recordings of each class over two different weeks during the school year, (2) "think aloud"…

Most studies which investigate mathematics teacher noticing cast perception into a passive role. This study develops an ecological analysis of mathematics teachers' noticing in order to investigate how teachers actively look for information in classroom environments. This method of analysis is applied to data collected as an experienced primary…

Williams's (2005) study on "learning without awareness" and three subsequent extensions (Faretta-Stutenberg & Morgan-Short, 2011; Hama & Leow, 2010; Rebuschat, Hamrick, Sachs, Riestenberg, & Ziegler, 2013) have reported conflicting results, perhaps in part due to differences in how awareness has been measured. The present…

Recent interest in integrating mobile apps into teaching will continue growing. There remains, however, a pressing need to develop methods and resources to support and educate preservice teachers about the use of these technologies. This case study aimed to examine preservice teachers' criteria for evaluating educational mobile apps. Nineteen…

Syllable Circles are interactive visualizations representing prominence as a feature in short phrases or multi-syllable words. They were designed for computer-aided pronunciation teaching. This study explores whether and how interactive visualizations can affect language learners' awareness of prominence, or stress, in English pronunciation. The…

In this study, we investigated how students used a drawing tool to visualize their ideas of chemical reaction processes. We interviewed 30 students using thinking-aloud and retrospective methods and provided them with a drawing tool. We identified four types of connections the students made as they used the tool: drawing on existing knowledge,…

Whilst face-to-face tutorial group interaction has been the focus of quantitative and qualitative studies in problem-based learning (PBL), little work has explored the independent learning phase of the PBL cycle from an interactionist perspective. An interactional ethnographic logic of inquiry guided collection and analysis of video recordings and…

This article describes an empirical investigation of technology-enhanced peacemaking in a conflict-stressed school environment. The peacemaking intervention required students in conflict-laden groups to collaborate on various game-like learning activities on a multitouch interactive tabletop, over the span of three weeks. Student interviews and…

In this paper, we discuss the process of identifying and validating students' abilities to think proportionally. More specifically, we describe the methodology we used to identify these proportional reasoning attributes, beginning with the selection and review of relevant literature on proportional reasoning. We then continue with the…

Digital video cameras, smartphones, internet and iPads are increasingly used as visual research methods with the purpose of creating an affective corpus of data. Such visual methods are often combined with interviews or observations. Not only are visual methods part of the used research methods, the visual products are used as requisites in…

The Dirac delta function is a standard mathematical tool that appears repeatedly in the undergraduate physics curriculum in multiple topical areas including electrostatics, and quantum mechanics. While Dirac delta functions are often introduced in order to simplify a problem mathematically, students still struggle to manipulate and interpret them.…