Acknowledging that our professional development (or methods course) was not going as well as we had hoped was difficult. However, knowing what to do and correcting the problem was even more challenging. This article explains how we engaged teachers in helping us rethink our video club by listening to and acting on their ideas. Through "coffee…

Valeria and Emilia are two experienced high-school teachers, who position themselves as enthusiasts of using instructional mathematical videos in their teaching. They both see the videos as adjuvant to students' learning, but their respective lessons turn out to be very different, in particular with respect to students' participation. Teachers'…

In this theoretical article, we explore the possibility that instead of a mathematical connection arising "in-between" two (or more) pre-existing ideas or objects, which have presumably been known or understood, that connection is itself the motor of understanding. The standard view of connection, in which two existing ideas or concepts…

This paper focuses on the development of a model of research and professional development which aims to bring about transformations in classroom practice in situations that have previously proved resistant to change. We explore reasons why conventional models have failed to address one such situation, the continuing predominance of teacher-centred…

After about two years of emergency remote teaching during the pandemic, the teaching of mathematics is slowly returning to (what used to be called) "normal." However, after the period of mostly teaching online, there is uncertainty about the extent to which we will return to the way we were teaching before. In this survey paper we…

In recent decades, U.S. education leaders have advocated for more intellectually ambitious mathematics instruction in classrooms. Evidence about whether more ambitious mathematics instruction has filtered into contemporary classrooms, however, is largely anecdotal. To address this issue, we analyzed 93 lessons recorded by a national random sample…

In this paper we review selected significant developments in the use of digital technology in the teaching and learning of mathematics over the last five years. We focus on a number of important topics in this field, including the evolvement of STEAM and critical making as well as the process of redefining learning spaces in the transformation of…

One of the most common methods employed to help teachers improve the teaching and learning of mathematics is professional development (PD). Research into professional development is a relatively new field, but still we know much about the features of effective PD with respect to such improvements. While the broad features of PD that are effective…

We demonstrate the power of Variation Theory as an analytical tool used to understand the underlying conceptual structure of mathematics lessons taught by English primary school teachers. We study excerpts of three lessons that are posted on a professional website. We show how lesson analysis using variation allows us to focus on what is made…

Purpose: This study aims to explore how a Chinese lesson study (LS) supports a teacher's learning of transforming curriculum reform ideas into classroom practices. Design/methodology/approach: Data analyzed in this study included lesson plans, three videotaped research lessons, three audio-taped group meetings, interviews, the teacher's reflection…

One of the challenges of understanding the complexity of so-called reform mathematics instruction lies in the observational tools used to capture it. This article introduces a unique tool, drawing from commognitive theory, for describing classroom discussions. The Realization Tree Assessment tool provides an image of a classroom discussion,…

The paper reports on updating and integrating two reformed curricula designed in an era of national crises in Greece. In particular, the curriculum design activity of the Leading Coordinators (LCs) is studied under the lenses of Activity Theory and Positioning Theory. Sixteen transcribed videotaped meetings over a period of ten months are analysed…

Since the emergence of COVID-19, online teaching and e-Learning has become essential in education. Actually, in at our University, we have had to move to a complete online teaching framework through the Moodle e-learning system. As a result, we have had to deploy new material as videos in Youtube channels, new exercises, tasks, live teaching, etc…

In this design case, we describe our first attempt to create a virtual mathematics tutoring program for students with learning disabilities. We describe in detail how the design was motivated by the pandemic which forced schools into remote learning, how a university and school collaborated on the design, the rationale for our design decisions,…

The COVID-19 epidemic had caused one of the most significant disruptions to the global education system. Many educational institutions faced sudden pressure to switch from face-to-face to online delivery of courses. The conventional classes are no longer the primary means of delivery; instead, online education and resources have become the…