The purpose of this article is to demonstrate how students' mathematics identities were developed and how their agency was fostered through the use of a mathematical action technology (MAT), Desmo, during stages of learning beyond noticing and wondering. The authors describe how they enacted an eighth-grade mathematics lesson depicting students…

The incorporation of intentional mathematical discussions can be used as a tool to increase engagement and ensure instruction is equitable. In this article, the authors share how the implementation of the five practices (Smith and Stein 2011) can reveal potential implicit biases during critical instructional moments, and they provide tools and…

The inspection of mistakes can play a powerful role in an individual's learning process (Boaler 2015). The purpose of this article is to support the reader in selecting mistakes that can be leveraged to benefit the learning of all students. Specifically, the authors focus on "which" and "why": "which" mistakes to…

Interacting with peers can be difficult for some students, due to their personality as well as to their learning styles. This paper shows how the Task-Based Approach (TBA) can be implemented and how digital resources can be used in language teaching and learning to enhance the students' experience and foster autonomy. To do so, I describe tasks I…

Learning a language in a formal context is not the same as learning a language in a natural setting, in that the goal of one of the participants in the communicative events that occur in the classroom, the teacher, is to teach a language. For this reason, the majority of the actions undertaken by the participants are directed at achieving that…

We describe and use an analytical framework to document mathematics discourse in instruction (MDI), and interpret differences in mathematics teaching. MDI is characterised by four interacting components in the teaching of a mathematics lesson: exemplification (occurring through a sequence of examples and related tasks), explanatory talk (talk that…

Task-based learning has been recommended in immersion classes in order to provide relief from the usual teacher-fronted lessons and increase the opportunities for student output. This paper presents one aspect of the data collected during the on-going evaluation of a late partial immersion French programme in an Australian school. It presents the…

This paper describes an approach to task evaluation that emerged out of the process of the negotiated development of a course between two co-teachers. The course was co-taught by one ELT specialist and a specialist in a subject area. The teachers were equal partners in this self-contained course. While teaching a new class, the teaching partners…

This article provides an empirically based perspective on the contribution of conversation analysis (CA) and sociocultural theory to our understanding of learners' second language (L2) practices within what we call a strong socio-interactionist perspective. It explores the interactive (re)configuration of tasks in French second language…