Teacher noticing--i.e., attending to and interpreting--students' mathematical thinking is a predominant framework in preparation programs for pre-service mathematics teachers, based on the assumption that they should learn to notice early in their training to acquire the expertise needed in their professional lives. Most research on this topic…

The post-observation conference is valuable, dedicated time for a teacher to focus their discussion on their own instruction and instructional delivery. This experience serves as an opportunity for the teacher to review the details of a lesson with their observer, while also reflecting on teaching practices. Not only does the post-observation…

Research on teachers' noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader mathematical classroom context. This research focus is not nuanced enough, however, to fully account for the complex noticing…

In this theoretical article, we propose a conceptualisation of noticing, drawing on our enactivist perspective, which takes account of what is now known about human cognition, and from which we draw out implications for how noticing develops. We review past work on mathematics teacher noticing and note the dominance of a paradigm of taking…

This article describes and analyzes the findings of children's observation records of block play with a focus on the wide range of mathematical outcomes resulting from children's block play. To this end, children's mathematical learning was analyzed in five areas: set and classification; pattern and symmetry; number and arithmetic; comparison and…

Emergent-based practices of leadership development (such as intentional emergence (IE), case-in-point, or group relations) rely a great deal on stopping the action in order to publicly notice group behaviors and patterns and connect what is happening authentically to conscious actions and ideas (such as course content, readings, theories, etc.).…

Theoretical Background: Previous studies indicate that students' learning motivation varies across learning situations and is influenced by situational characteristics such as teaching behaviour. We focus on instructional clarity as one factor that may influence expectancies and task values. Aims and Research Questions: This study combines a…

The Optimizing Learning Opportunities for Students (OLOS) Observation System was developed by the Early Learning Network's assessment team at the University of California, Irvine. OLOS is a user-friendly, web-based tool designed to help teachers understand what is happening in their classrooms and uncover ways to meet the unique learning needs of…

In this study, we examine "what went wrong" in our professional development program for encouraging cognitively demanding instruction, focusing on the difficulties we encountered in using an observational tool for evaluating this type of instruction and reaching inter-rater reliability. We do so through the lens of a discursive theory of…

In recent years, the concept of "deeper learning" has generated great interest in the field of preschool education in China. However, deep learning in the preschool stage is different from that in school education, as it requires explaining content characteristics, developing observational tools to identify deep learning, and exploring…

This study explores secondary-school mathematics teachers' noticing of Critical Events Associated with Argumentation (CEAs), moments when students' reasoning or interactions become evident, offering teachers opportunities to promote argumentation in the classroom. Thirty-one teachers analyzed a written classroom scenario, identifying CEAs,…

With teachers continuing to report challenges in classroom management and difficulties in implementing scientific inquiry, the current manner in which science practical work is conducted in schools suggests the need for added teacher support. In this regard, we can leverage computer vision to provide instructional support by relieving teachers of…

Action observation, where a learner observes a model demonstrating a skill, has long been established in the literature as an effective means to acquire motor skills. Developments in virtual reality technology have made it possible for a 3D action observation viewing perspective, theoretically providing a viewing experience similar to observing a…

We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

Though teacher education programs must document candidates' teaching dispositions, there is a gap in the literature around what faculty may learn by observing students in contexts outside of the k-12 classroom. This case study explores what faculty may learn about teaching dispositions by observing tutors. For our study, three mathematics…