To support productive struggle, prospective secondary mathematics teachers (PTs) need to elicit and respond to students' mathematical ideas in ways that focus on those ideas and that position students to build on those ideas. Using the Teacher Response Coding framework (Van Zoest et al., 2021) we analyzed PTs' responses in three rehearsals of…

Response Process Validity (RPV) reflects the degree to which items are interpreted as intended by item developers. In this study, teacher responses to constructed response (CR) items to assess pedagogical content knowledge (PCK) of middle school mathematics teachers were evaluated to determine what types of teacher responses signaled weak RPV. We…

Much of the research on the development of professional noticing expertise has focused on prospective teachers. We contend that we must investigate practicing teachers as well, and in particular practicing secondary teachers, because they bring with them years of teaching experience and are situated in unique contexts. Hence we studied the…

Technology-mediated simulations of teaching practice are becoming a more common way to introduce teachers to the dilemmas of teaching during professional development. In this paper, we show that the inclusion of markers of student emotions in cartoon-based scenarios of teaching changes teachers' appropriateness rating of the actions that the…

The emerging use of approximations of practice in teacher education calls for ways to document teacher candidates' (TCs') skill from their enactments and to determine how TCs' skill develops through such pedagogies. We highlight two cases of secondary mathematics TC development, connecting analyses of two types of approximations--coached…

This proceeding paper will report about a study that investigated how a group of elementary school teachers responded to a professional development training on Science and Technology as demonstrated in their perceived preparedness and comfort with teaching science, and their subsequent implementation with K-4 students. The results from the study…

In this study, noise levels of elementary schools in France and Turkey are evaluated according to data based on observation. As a qualitative research design, comparative case study design was applied. The scope of the study includes an elementary school from Turkey, in which the study named "Noise Pollution at School: Causes, Effects and…

Despite mathematical reasoning being a proficiency included in mathematics curricula around the world, research has found that primary teachers struggle to understand, teach, and assess mathematical reasoning. A detailed rubric involving the three reasoning actions of analysing, generalising and justifying at five proficiency levels was refined…

This paper is based on a study of 20 elementary teachers, especially in their tenth year of teaching (2013-2014). At this time, the teachers were working under heavy pressure from their government and school districts to implement "inquiry learning." While broadly accepting this pedagogy, however, the teachers varied substantially in…

A teacher's reactions to students' mathematical contributions have critical implications for shaping both teaching and learning. We present a framework for describing reacting moves that resulted from a comparative analysis between two existing frameworks; one developed by secondary teachers for parsing instructional practice and the other…

In this paper we frame our observations in enactivism, specifically problem posing, to propose the notion of problem drift as a method to analyze the curriculum generating actions of small group learning systems in relation to teacher interventions intended to trigger specific content goals. Teacher attentiveness to problem drift is suggested to…

Australian teachers, recruited via Facebook, completed an online survey about aspects of numeracy. The survey was designed to explore views on numeracy and capacity to respond to numeracy tasks. In this paper, we focus primarily on responses to two numeracy tasks--one numerical, the other requiring critical evaluation. On the first item, 40%…

This article develops three different types of student explanations and studies how teachers respond to these. The data come from five classrooms at upper grade 5-7 (ages from eleven to thirteen) where all mathematics teaching for one week was filmed. These films were transcribed and student explanations identified. Through a close inspection of…

This paper reports results from a study exploring classroom modelling as an approach to teacher education. In particular, it presents analysis of responses on an observation proforma completed by primary school teachers to indicate what teacher actions they observed when watching modelled lessons and which of those actions they intended to…

In the current reform of mathematics classrooms teachers are charged with the role of facilitating collaborative groups during problem-solving activity. The challenge is for teachers to engage students in making mathematical meaning during collaborative group discussions. In this paper we draw on the concept of adaptive expertise to report on…