"Micro-analysis of noticing" is introduced as a method to analyze prospective teacher noticing, one that privileges the high variation exhibited by novice learners. The intent was to understand how prospective teachers' noticing moments suggest trajectories within and across whole-class discussions. We also focused on how prospective…

Including opportunities for students to experience uncertainty in solving mathematical tasks can prompt learners to resolve the uncertainty, leading to mathematical understanding. In this article, we examine how preservice secondary mathematics teachers' thinking about a trigonometric relationship was impacted by a series of tasks that prompted…

The use of technology affords opportunities for prospective teachers to engage in actions that are proximal to the work of teaching. The authors designed a task in which prospective teachers (n = 95) at four institutions created an animation or depiction of a classroom scenario using one of two technology platforms: GoAnimate or…

Curriculum materials are integral to the mathematics classroom, yet little is known about how teachers read curriculum in order to envision enactment. Through an assignment involving an approximation of actual teaching practice, we investigated prospective teachers' documentational genesis (Pepin et al. in ZDM 45:929-943, 2013) from curriculum…

Translating a mathematics lesson from curriculum materials into instruction is not straightforward, and launching, or beginning, a lesson such that students will become productively engaged in the target mathematics is nontrivial. The purpose of the study was to investigate preservice teachers' curricular noticing as they draw upon curriculum…

Lesson Study, which assumes multiple variations, is a collaborative method that provides an opportunity for teachers to notice professionally. We analyzed how audible conversational components afforded and constrained the verbalization of professional noticing of a lesson study team. The team, comprised of six prospective teachers, a classroom…

The incorporation of video technology in teacher education programmes is increasingly prevalent, with teacher educators commonly using three traditional forms of videos: published video, preservice teachers' own videos and colleagues' videos. This study explored a fourth type of video, self-created scripted video simulations in which preservice…

This paper explores the use of animations as an approximation of practice to provide a transformational technology experience for elementary mathematics preservice teachers. Preservice teachers in mathematics methods courses at six universities (n = 126) engaged in a practice of decomposing and approximating components of a fraction lesson. Data…

In recent years, teacher professional noticing has become more prevalent internationally. One common definition to distinguish professional noticing from everyday noticing includes the three interrelated skills of attending, interpreting and deciding to respond. We used qualitative analysis to explore prospective teachers' approximations of…

This purpose of this study was to understand how higher education students, specifically preservice teachers, used Facebook to seek academic help. Results indicated that participants who regularly used Facebook to seek academic support formally and informally, considered the network to be social in nature, generated a sense of community through…

Recent research in mathematics education has highlighted the importance of teachers' abilities to professionally notice students' thinking. This study examined what preservice teachers professionally notice during lesson study to further describe their attention to students' mathematical thinking, their interpretations about students' reasoning,…

Dynamic geometry software can help teachers highlight mathematical relationships in ways not possible with static diagrams. However, these opportunities are mediated by teachers' abilities to construct sketches that focus users' attention on the desired variant or invariant relationships. The study described in this paper looked at two cohorts of…

The purpose of this study was to implement a Video Simulation Task in a mathematics methods teacher education course to engage preservice teachers in considering both the teaching and learning aspects of mathematics lesson delivery. Participants anticipated student and teacher thinking and created simulations, in which they acted out scenes on a…

Previous research indicates that lesson study can support preservice teachers' abilities to professionally notice. This qualitative case study examined specific lexical and indexical conversational components of lesson study analysis meetings that afford or constrain elementary preservice teachers' incidences of professionally noticing students'…

This paper explores the construct of curricular noticing, defined as the act of teachers making sense of the complexity of content and pedagogical opportunities in written or digital curricular materials (Dietiker, Amador, Earnest, Males, & Stohlmann, 2014), and reports the results of four exploratory studies aimed to examine the Curricular…