This paper shows how peer observation of learning and teaching (POLT) discussions can be augmented through the use of a dynamic visual notation that makes visible for interpretation, elements of teacher-learner and learner-earner nonverbal interactions. Making visible the nonverbal, physical, spatial and kinesics (eye-based) elements of…

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…

In the generative classroom, teachers provide well-designed learning environments that result in the combination, recombination, and reorganization of repertoires such that new untaught repertoires are likely to occur. One component that can contribute to such generativity is Precision Teaching (PT), a frequency building instructional…

Knowledge translation (KT) interventions can facilitate the successful implementation of best practices by engaging and actively involving various stakeholders in the change process. However, for novices, the design of KT interventions can be overwhelming. In this article, we describe our experience as participants in a problem-based case study on…

In primary teacher education, using a multimedia learning environment, we challenge student teachers to develop narratives of paradigmatic classroom situations. In this digital environment they observe footage of classroom practice (mathematics lessons) and discuss, analyse, and interpret these episodes. The environment will stimulate student…

Peer collaboration has been supported in research as an effective instructional strategy. However, education researchers lack a full understanding of the types of scaffolding that take place in peer groups. Little research is available that documents what happens during the small group interactions. This case study took place in one teacher's…

In "The Politics of Education" Paulo Freire considers writing evaluation to be the expression of educational ideologies. An examination of the scholarly writing in composition and rhetoric research shows a division between formative or process evaluation and summative or product evaluation, with advocates for each side. As readers,…

In this paper I will explore three contrasting teaching and learning environments, including one in which students engage in a "dance of agency". I will move from a consideration of classroom practices to a contention that our work as researchers of mathematics education should pay more attention to teaching practices. Further, that understanding…